diff --git "a/data/dm_maths/full_data_1/1743_11255.jsonl" "b/data/dm_maths/full_data_1/1743_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1743_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(h) be the second derivative of h**5\/5 - h**4\/12 + h**3\/6 + h**2\/2 + 13*h. Give a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*u + 10 + 3 - 10, -2*u - 2*z = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100650\/119 or -845?\nAnswer: -100650\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, -8, 0.9, 7\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17113008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 - 4*u + 6. Suppose -5*q + 101 = 2*g, -3*g - 2*g + 305 = 2*q. Suppose 0 = -w + 68 - g. Calculate the lowest common multiple of 2 and r(w).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11051 less than 11065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-772))\/((143\/26)\/(-11)). Let u = h + 5232\/1351. Let -9*b**3 + 0 - 48\/7*b**2 - 12\/7*b - u*b**4 = 0. Calculate b.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j - 290505. Let h be f(0). Let t = h + 189405. Round t to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let g = -10\/8273 + 19267907\/74457. Let q = 259 - g. What is the biggest value in q, 2.1, c?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 85 = 51. Let u = x + 10. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(1*((sqrt(637) + 1)*-2 - (1*sqrt(637) + -4)) - ((sqrt(637) + 0)*3 + -5 + (sqrt(637)*-2 - sqrt(637)))))**2.\nAnswer: -10584*sqrt(13) + 208152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119730.\nAnswer: 2, 3, 5, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5))\/(k**(2\/3)\/k)*(k**(1\/8)\/k*k)\/(((k\/(k*k*k*k**(3\/5)))\/k)\/k)*((k**(2\/5)*k*k)\/(k*k**(-4)))\/(k**1*k**2) assuming k is positive.\nAnswer: k**(83\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/120 - w**5\/60 + w**4\/24 + 4*w**3\/3 + w**2. Suppose -4*k = k - 6*k. Give j(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.191 - 0.009. Let d = -0.847 + 4.747. Let q = x + d. Which is the nearest to -2\/3? (a) -2\/5 (b) q (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Calculate the greatest common factor of 32 and 24142816.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3130949.\nAnswer: 3130949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3.96?\nAnswer: -3.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 3 - 3)*(-23*r**2 - 53*r + 53*r).\nAnswer: -69*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321086 is divided by 231?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/(v\/(v\/v**(-2))))*v))**(-1\/12)*(v*v\/v**(3\/2))**(-20))**(43\/5))**(-27) assuming v is positive.\nAnswer: v**(23607\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + -2 + (4 + sqrt(2736) + 0 - sqrt(2736)) + 0)*3 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13452.\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(3\/(-24)). Sort 5, m, -2, -3 in decreasing order.\nAnswer: 5, -2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*m + f - 363, 3*m + f = 547. Calculate the highest common factor of 16 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*v + 4*g - 30, 4*g - 30 = -2*v. Solve -6*o - 21*o**5 + 27*o**3 + 15*o**2 - v*o**4 + 0*o**4 + 0*o**5 = 0 for o.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/7 - 2*d**2 - 8*d\/7 + 8 = 0.\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5 + 2315058*o**4 - 669930905244*o**3 - 3349705457668*o**2 - 2009848277346*o + 6029482325202 = 0.\nAnswer: -3, 1, 578767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:42 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*b**5 - 920 + 152*b**2 - 107*b**2 - 5*b**4 - 35*b**5 + 907 - 34*b**5 wrt b.\nAnswer: -5220*b**2 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*i + 7*i. Let m be (i + (3 - 3))*(1 + -1). Factor m + 9\/4*g**4 - 9\/4*g**3 + 3\/4*g**2 - 3\/4*g**5 + 0*g.\nAnswer: -3*g**2*(g - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 12 = -5*v + 1, -c - 3*v = -3. Let o(i) = -5*i - 3. Let n(f) be the first derivative of 11*f**2\/2 + 7*f + 85. What is c*n(d) - 7*o(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*q + 3. Let y = q + 51. What is the remainder when y is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*g**2 + 29*g**2 - 27898*g**3 + 27895*g**3)*(-4*g + 0*g + 6*g) to m*g + k + p*g**3 + h*g**2 + u*g**4 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 33.8. Let h = -15 - -16.2. Let b = r - h. What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 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: Suppose 2*c + 119 = c. Let b = -955\/8 - c. Let i = -119\/174 - -1\/58. What is the third biggest value in b, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - -7. Suppose -z - 371 = -y - q, -5*q + 450 = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472712, -472736, -472774, -472832, -472916, -473032, -473186, -473384?\nAnswer: -473632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2211*c - 55. Is 110 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20441 - 5?\nAnswer: -20446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 154. Let g = -54 - j. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 6, s: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(637))**2 + -2 - ((sqrt(637) + 0)**2*-2 - (sqrt(637) + 4*1*sqrt(637) - sqrt(637) - sqrt(637))).\nAnswer: 21*sqrt(13) + 3815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 1:58 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + 63 + (5 - (18 - 29))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3. Let w be b(0). Let f(o) = 4*o**2 + 4*o - 2. Let x = -3 + 6. Let k(m) = -5*m**2 - 5*m + 1. Let i(p) = x*k(p) + 4*f(p). Determine i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 16*l - 5 + 38*l + 6. Let u be (2\/(-6))\/(2\/(-6)). What is the remainder when d(u) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9*x = 10. Factor 3*t**2 + t**x - 5*t**2 + 2*t.\nAnswer: -t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602052*w**3 - 3*w**2 + 5*w**2 + 0*w**2 + 602317*w**3 - 4*w**2 - 1204376*w**3 + 5*w**2.\nAnswer: -7*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -9647359\nAnswer: -28942077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 9558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/117*6\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1526, -1471, -1434, -1415, -1414?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/9, -18\/415, -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -400 + 866. What are the prime factors of o?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 240*c + 341. Let w be x(12). Suppose w + 11263 = 12*z. What are the prime factors of z?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 5*f**2 + 2*f + 12. Let l be o(-5). Let v be l*4 + (-2 - 3). Solve 0 + v = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11322011331?\nAnswer: -11322011332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 31, 79, 147, 235, 343?\n\"Answer: 10*c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5) + 126\/5. Suppose -5 = 2*b + 3*u - 4*u, 5*u = -3*b + y. Solve 5*h + 5*x = 20, -4*x + 14 = 3*h - b*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - f + 20, -4*p = f - 36. Let i = -7 + p. Let q(w) = 6*w - 1. List the prime factors of q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/4 - 5*b**3\/3 - 2*b**2 - b - 2. Suppose 2*s = 4*x - 10, -5*s + 21 + 24 = 4*x. Suppose -x*g + 5 = 25. What is f(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 372, 733, 1084, 1419, 1732, 2017, 2268, 2479?\n\"Answer: -w**3 + w**2 + 365*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 6. Let c be (16\/10)\/((-6)\/(-15)). Suppose 2*q = 4*o - 32, 4 = 2*q + c*o - 4. What are the prime factors of p(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s - 4 = 0, s = -2*w + 26. Suppose -j - w = -0. Is 17 + j + (-2)\/(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s = -10*s - 152 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4 + 5*i**3*v - 9*i**3*y - 14*i*v*y + i*v - i*y + 2*v wrt i?\nAnswer: 24*i**2 + 30*i*v - 54*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/163 + -12583\/326. Find the common denominator of t and 4\/8 - (-119)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4091898258 to the power of 1\/2, to the nearest integer?\nAnswer: 63968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 14*k - 7*k - 5. Let x(t) be the first derivative of -6 - 13\/3*t**3 + 0*t - 21\/2*t**k. Find the second derivative of x(c) wrt c.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v + 7. Suppose 3*c - 5*s - 1 = 7, -4*s = -2*c + 4. Is y(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2050\/150 + 3\/(-1 + 10). Solve 0 = -g*s - s - 60 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13954 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: Sort 140, -3, 37, 15, -5, 4 in decreasing order.\nAnswer: 140, 37, 15, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383 + 1495 - 387 - 351 - x**2 - 374.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 9*v + 1. Let o(h) = 3*h**2 + 18*h - 1. Let f(a) = -2*o(a) - 5*w(a). Determine f(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 570623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g = 315*g - 101112. Solve -399*v + 144 = -g*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.08416?\nAnswer: 0.4208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.49 times -13?\nAnswer: 19.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 1021 = -12981. Let g = -742 + o. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77972 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 14. Let n = 13 - 9. Suppose -6*h + 18 = -n*h. Calculate the least common multiple of l and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**4 + d**4 - 7*d**4 + (-51 - 2*d + 5*d - d)*(1 - 1 - d**3).\nAnswer: -13*d**4 + 51*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11968 divided by -352?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34568.6t?\nAnswer: 34568600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/3)\/(0 - -1). Let v = 2086 + -2085. Put p, v, 6 in decreasing order.\nAnswer: 6, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + 12*c**3 + 8*c**3)*(-25 + 5 - 2).\nAnswer: -330*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-489531)\/2)*(-48)\/(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 1191 = 3692. Let z = a + -250. Solve z*l + 29 = -6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 35 - 10 = 0. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65249, 65237, 65217, 65189, 65153, 65109, 65057?\n\"Answer: -4*t**2 + 65253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = -85. Let h = -2 + r. Is h\/(-38) + (-7)\/(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*c + 9*u, -5*u + 16 - 29 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*k*o**4 - 4419*k*o**3 + k*o**2 - 20*k*o + 6933*k - o**4 wrt o.\nAnswer: -1224*k*o - 26514*k - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1106649714 divided by -102\nAnswer: -10849507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 323?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 24838.89203 to the nearest 10.\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 17\/4, -116?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + l**4\/2 + 10*l**3 - 5*l**2\/2 - 8*l + 2 = 0. What is l?\nAnswer: -2, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3 + 0 + 1 + 3*j. Suppose 161 - 1369 = 302*s. Calculate c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -2900648.\nAnswer: -580129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 39*j + 16. Let p(h) = -2*h**2 - 122*h + 47. Let y(i) = 2*p(i) - 7*s(i). Let k be y(-11). Calculate the greatest common factor of 91 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0*x + 25. Let f(i) = -i**2 + 6*i - 2. Let y be f(5). What are the prime factors of 1*y + 10\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in 13091, -2\/5, -1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*q = -25, 0 = 2*v + 4*q - 0*q - 16. Let l(k) = -k - 3. Let d(u) = 2. Determine v*l(g) - 3*d(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16011 + -3?\nAnswer: -16014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.15 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -1 + 11 + -2 - (14 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -2247.2.\nAnswer: -224.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 5\/4, 2, -1\/3, -25.8, 7, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - j)*(-117 + 117 - 28*j).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 8:47 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12321 - 0?\nAnswer: -12321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 46*w**2 + 7768*w + 196. Give d(-169).\nAnswer: 1210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oezezzzzoooeo. Give prob of picking 1 o and 2 z.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/45 and -10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbwbmw. Give prob of picking 2 b and 2 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**8\/840 - p**7\/210 - p**6\/180 + p**5\/30 + p**3\/3 + 4*p. Let f(d) be the second derivative of g(d). Solve f(l) = 0 for l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h**5 - 50*h**4 - 40*h**3 + 30*h**2 + 55*h + 20 = 0 for h.\nAnswer: -4\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-2))*(l\/(l*l*l\/l**2*l))\/l)**(-40)\/((l**(-1\/3))**(2\/19)\/(l**6\/(l**(-6)*l))) assuming l is positive.\nAnswer: l**(12029\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 188822 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 357, 369, 381, 393, 405?\n\"Answer: 12*b + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -28. Let z = x - -28. Let n = -2958.8 + 2958.8. Which is bigger: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10695 = -5*i + 10810. What is the remainder when 97 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 10, -4*g - 4*a + 69 = -11. Do g and 14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60352060 rounded to the nearest 100000?\nAnswer: 60400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109354418051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 549?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 273800 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a4 + 862?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -605\/7319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*d**2*g*l - d**2*g - d**2*l**2 - 18*d**2*l + d*l**2 + 174*d + 206*g*l**2 wrt g?\nAnswer: 16*d**2*l - d**2 + 206*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (7*85\/119 - (-180)\/(-22))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + (26525\/50 - (-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605670176.\nAnswer: 2, 18927193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*u + 23*u + 3*u**2 + 3*u**2 - 492 - 54*u wrt u.\nAnswer: 12*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0.1, 0.061, -1, 2\/5 in descending order.\nAnswer: 19, 2\/5, 0.1, 0.061, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, -2, 4, 0, 8, 1 in ascending order.\nAnswer: -175, -2, 0, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*i + 4199 = 202*i. What is the remainder when i is divided by 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(95)\/(-1*sqrt(5)) + 0).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6*a - 2. Let j be u(5). Let h(o) be the first derivative of j + 2*o + 0*o**2 + 0*o**3 - 1\/4*o**4. Find the first derivative of h(n) wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*f = -54. Let p(t) = -40 - 9*t + f - 2*t + 22. Let g(h) be the second derivative of -2*h**3\/3 + h. Give p(g(v)).\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 25.04977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (13 + (-8 - 4) - -5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38552 divided by -6?\nAnswer: 19276\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 50, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -385f80 (base 16) in base 12?\nAnswer: -12a2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14655445 (base 7) in base 4?\nAnswer: -11113332202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 6232063?\nAnswer: 6232056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eok when three letters picked without replacement from oetokto?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + sqrt(448)*3)*-5)*-2 + (1*(-1 + sqrt(448) + sqrt(448)) - (sqrt(448) + (sqrt(448) - (-5 + sqrt(448) + 2)))))**2.\nAnswer: 2624*sqrt(7) + 753104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 54111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n - 1. Let j be u(3). Suppose -3*b - 24 = -0*b - 3*c, -b = -5*c + 28. Sort b, j, 1.\nAnswer: b, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 808 + -422. List the prime factors of z.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-35)*1*(9 + 1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.393308 rounded to 2 dps?\nAnswer: -13.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + -95d?\nAnswer: -949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**(-17\/3) assuming w is positive.\nAnswer: w**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 78 = 180. Let f = 68 + -102. Let s = c + f. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(sqrt(847) + -1 + sqrt(847) + 2))**2.\nAnswer: 2376*sqrt(7) + 122049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 648*x**3 - 25*x - 9953 wrt x.\nAnswer: 1944*x**2 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 31*w + 4329. Let l(y) = y. Calculate l(v(g)).\nAnswer: 31*g + 4329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35100307 is divided by 1855?\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 184 + -124. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 3}. Give prob of sequence hfh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:47 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182978\/7 - 26140. Sort 2, -1\/5, -2826, -1, a in increasing order.\nAnswer: -2826, -1, a, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f**3 + 15*f**3 + 12*f**3 + f - 39*f**3 + 1 - f**2. Let i(y) = -y**3 - 4*y**2 + 5*y - 1. Give -i(h) + 4*w(h).\nAnswer: -3*h**3 - h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5277040645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j - 18*j + 87*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 172083 = -171843 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 117168, 234334, 351500, 468666?\n\"Answer: 117166*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568272969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -58. Solve -h + 2*h + a = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2601919 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/8)\/(1\/2). Suppose m*j = -3, 1 + 3 = 2*a + 4*j. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**3 - 8*c**2 + 15*c + 5. Let s be -8*((-78)\/12 - -6). List the prime factors of g(s).\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/231 - 389\/462. What is the third smallest value in 2, 1, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 2\/21, -1, 12, 1\/4, -4, -1830?\nAnswer: -1830","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 7*o**2 - 192*o + 684.\nAnswer: (o - 6)**2*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 738 (b) 1 (c) -1\/5 (d) -3\/7 (e) 387\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(18\/(-8) - -2). Let n be (-3)\/6*l - -1. Let z = 3 - 0. Solve 2*m = 5*f + 26, z*m = n*f + 11 + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 - -1) + (-122 - -129)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75486619 divided by -6.\nAnswer: 75486619\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12c0 + 21?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*o - 10 = 0, -u + 4*o = 3*u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1402 - -1400.93. What is the biggest value in -2, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.009 - -2.109. Let f = 0.9 + p. Which is the closest to 2\/5? (a) -0.4 (b) f (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3352*r - 3351*r + 8 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220021022 (base 3) in base 4?\nAnswer: -10110131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63861?\nAnswer: 3, 7, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**4\/2 + 456*b**3 + 51984*b**2 + 2633856*b + 50043264 = 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.707 - -0.357. Let t = 0.45 + k. Which is the nearest to t? (a) -3\/4 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/198 and -77\/162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8940203099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336869496 divided by 168434748.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1762156 smaller than -1762158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.03 - -0.03. Let z = -3379 - -57445\/17. What is the biggest value in 1\/8, z, x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/(3570\/720) + 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-50))\/((42\/(-12))\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 17 + (77 - 68)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/12 - d**3\/3 - d**2. Let n be s(6). Solve -3*v - n = -4*k - v, 0 = -k + v + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 24*i. Let g = -18 - -24. Suppose -4*s + g*s = 0. Let h(x) = -2*x + x + s*x. Calculate u(h(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (28 - 44) - (6 + 0)) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1936\/3 - 4\/3*d**2 - 176\/3*d.\nAnswer: -4*(d + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2168 (c) -0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*y**2 - 256*y**2 + 565*y**2.\nAnswer: 733*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 + 10 + -16 + 9) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = 0, p + j - 21958 = 30993. Suppose -29*t = -2*t - p. What are the prime factors of t?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.96 - -13. Let s = 2.04 - x. Which is the nearest to 8? (a) -2 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 2, m: 9, n: 8}. Give prob of sequence mh.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 714 = -2*j + 32*j. What is the greatest common divisor of j and 3234?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -442*r**2*t**2 - 1509*r*t**2 - 2635828*t**2 wrt r?\nAnswer: -884*r*t**2 - 1509*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -11*f - 29, f - 26*z + 31*z = 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. Let a(f) be the second derivative of -3*f + 0*f**3 + 0*f**2 - 1\/4*f**4 + 0. Calculate i(a(j)).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 125538*j - 125537.\nAnswer: -(j + 1)*(j + 125537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 104 = -4*m. Let i = -10 - m. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -472 or 7?\nAnswer: -472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 90*a**2 + 997*a - 300. Give f(-100).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.578847 minutes in milliseconds?\nAnswer: 214730.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -30*n**2 + 6*n + 179. Let v be i(-10). What is the hundreds digit of (12\/(-18))\/(2 - v\/(-1440))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**3 + h**2 + 50 - 34 - 2*h**4 + 4*h**3 to m*h**3 + n*h + o*h**4 + y + i*h**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853237.\nAnswer: 419, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -174.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 1\/19 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18740, 37480, 56220?\n\"Answer: 18740*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 5*x - 7. Let u be q(-3). Suppose -u = 3*y - o - 2, 0 = -2*y - 4*o - 16. Let s = 44 - 45. What is the closest to s in -1, y, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*m - 96*m = -185*m - 4176 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 36 + (-1 + -18 - (9 - 19 - -1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -805998*t**3 + 960469 wrt t.\nAnswer: -2417994*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11 less than 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b00 (base 14) in base 2?\nAnswer: -11001101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 11*m - 53424. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/60)\/(33\/(4257\/(-559))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)\/7 + 1. Let f = -0.58 - -3.58. Which is the second biggest value? (a) d (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 3*g - 3*g + 17*g - 26*g + 16 + 22*g + (2*g + 0*g - g)*(1 + 0 + 1).\nAnswer: 13*g + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + q. Let w be (q*(-6)\/12)\/(2 + 0). Factor 6\/7*l - 2\/7*l**3 + w + 4\/7*l**2.\nAnswer: -2*l*(l - 3)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -18*h**2. Let w(c) = -3*c + 8*c + c - 4*c - 4*c. Determine p(w(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 2, y: 1, o: 2, z: 1}. What is prob of picking 1 k and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -431 + 1209 + 1161 + 406 + 3*i - 6*i as g + w*i and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 844 - 1514. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268481.46 months to years.\nAnswer: 22373.455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h**4\/3 + 10670*h**3 + 41957*h**2 - 41410*h\/3 - 45096 = 0.\nAnswer: -1879, -4, -1, 18\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 449?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {j: 1, f: 3, w: 1, z: 2, e: 3, s: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 50*c + 168 = 0. Calculate c.\nAnswer: -28, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:23 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 5*u. Let f(t) = -6*t**2 + 28*t - 42. Let v(x) = -3*x**2 + 13*x - 18. Let p(m) = -6*f(m) + 14*v(m). Calculate 17*l(s) - 6*p(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 229063327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a factor of 1193369022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29270808 and 1176?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/32 and -46\/2923.\nAnswer: 93536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 2*h**3 - h**3 + 4*h**2 - 3*h - 4*h to j*h**3 + q*h + w*h**2 + o and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 149, 160, 175, 194, 217, 244?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - s + 72, 50*h - 55*h + 90 = 5*s. Solve c = -13 + h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.373374nm to meters.\nAnswer: 0.000000005373374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7622*t**2 - 3830*t**2 + 66 + 17*t - 3793*t**2. Calculate o(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/5 + 36*a**3\/5 - 62*a**2\/5 - 36*a\/5 + 64\/5 = 0.\nAnswer: -1, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3458 and 93\/15274.\nAnswer: 3772678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 59 = -2*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.33 in 42, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 - (0 + 10 - ((-14 + 6 - -1) + 12))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpqa when four letters picked without replacement from vqaojpa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4)*(-1 - 1). Let i be ((-11444)\/(-18) - 1) + (-2)\/(-9). Let h = 640 - i. Sort 6, a, h in decreasing order.\nAnswer: 6, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 56. Solve x - 20 = -c*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.148 * 0.1395483\nAnswer: -0.0206531484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 4*l**2 - l - 5. Let i be o(-5). Let r = -8.87 + 9.07. Which is the smallest value? (a) 3 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 5 + (7 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*t**2 - 34*t**2 - 12*t**2 - 33*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = j - 99, -l = -4*j + 435. Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 670, 12, -167, 0 in decreasing order.\nAnswer: 670, 12, 0, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/326828 and 48\/55?\nAnswer: 17975540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -678 or -14\/11?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 20.878. Let n = -0.078 + x. What is the third biggest value in 0, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/(-7) - (24 + -14). Suppose 3 + 3 = -o. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -526*i**2 - 7932*i - 38. Determine d(-15).\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v = 2*l + 4, 2*l = -4*v + 38. Solve -4*o - 3 = -v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125 - -156) + -50 + 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 4*f - 5*f + 5*f - f - f.\nAnswer: 2*f - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -a817 (base 11) to base 3\nAnswer: -201121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqyiiiiqyyyyqbq. Give prob of sequence bqi.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:58 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 4*p = -60 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5684598 by 6.\nAnswer: 947433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1822333.7 rounded to the nearest 1000?\nAnswer: -1822000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 536 (b) 0 (c) 40 (d) -52\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 8. Determine d(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(114) - ((sqrt(114) + sqrt(114) + sqrt(114) + sqrt(114)*2 + sqrt(114))*5 + sqrt(114) + sqrt(114)))\/sqrt(2))\/(sqrt(6)\/(sqrt(162)*-1)))**2.\nAnswer: 1478980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*k = 45882, -12*k = -11*k + 4. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/(-98)*2\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27602806 a multiple of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 265681602 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*d = 7*d + 9, 8 = -2*g + d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2 + 9623*s - 1031845. Give q(119).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -533332 or -533314?\nAnswer: -533332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i = -130*i + 32 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + ((-1 + sqrt(128) + 5)**2 - (sqrt(128) + 4*(1 + sqrt(128))))*-6*-5).\nAnswer: 3600*sqrt(2) + 20990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 22*w + 720 = 0. Is -60 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) -0.5 (c) 6 (d) -394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -47931.\nAnswer: 1\/47931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 151.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + h**2 - h**2)*(4 - 4 + 2*h**2) + 27*h**4 + 108*h**4 - 44*h**4 to the form u*h**2 + b*h**3 + t + p*h + y*h**4 and give y.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 83. Suppose 5*u = 5*l + 2180, -u + m*l = 3*l - 442. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6479871039373 + 4.3.\nAnswer: 6479871039377.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-10)*(-2)\/(-3). Let c be o + 1 - (-7 - 1). What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/91167 - 1347211\/1580228. Let y = -4\/39 - c. Factor -1\/4*b**4 + 1\/4*b - 3\/4*b**2 + 0 + y*b**3.\nAnswer: -b*(b - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45611 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1800810 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 39*c - 101. Let x(f) = -2*f**2 - 13*f + 34. Let d(h) = 3*i(h) + 8*x(h). Let m be d(5). Solve 6 = -12*v + m*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4657149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*3584211.\nAnswer: -179210550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 16 = -22*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 63.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - 2*t**2 + 70*t - 134. What is s(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7226, -1\/31, -131?\nAnswer: -0.7226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2228*n - 2229*n - p + 7, p - 2 = 5*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2050 + 7?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 420c (base 15) in base 7?\nAnswer: 55464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210112201212 (base 3) to base 16.\nAnswer: -e9486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1017.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 + 54*n - 5. Let v(s) = 610*s. What is u(v(l))?\nAnswer: -372100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20611771.\nAnswer: 461, 44711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c - 781. Determine p(-52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(605) + sqrt(5))*2.\nAnswer: -42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 799*a**3 + a**2 - 37*a - 37. Determine t(-1).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 2 (c) -20 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)\/((-2)\/(-8)). Suppose r + 4*r + 6 = -b, 0 = j*b + 4*r - 8. Calculate the remainder when 7 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Total of 0.258930154 and 86.856.\nAnswer: 87.114930154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 5*t**2 + 2*t + 1. Let k be z(-3). List the prime factors of k\/3 - 5\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 146 - 64 = 55 + 135 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1772268 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/436983 or 1?\nAnswer: -1\/436983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 191*y**4\/2 + 1967*y**3\/6 + 414*y. Find the second derivative of v(s) wrt s.\nAnswer: 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26198445 is divided by 121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(448) - (2*sqrt(448)*-1)**2).\nAnswer: -48*sqrt(7) + 10752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -19300.75579651.\nAnswer: -19300.15579651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1847, -1410, -973, -536?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 143816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -293 + 4\/((-16)\/12). Is (1 + 0)\/((-4)\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.358 - 0.822. Let h = -38.09 - y. Let f = h + 0.71. Round f to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, m: 1, z: 1, h: 3, n: 3}. What is prob of picking 1 n and 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-19 - -2) + 113 + -80\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - z + 1. Let p be a(2). Suppose -9 = 2*r + p*d, -3 = 4*r + 4*d + 9. Suppose -5*x + 0*x - 5*g - 65 = 0, g - 5 = r. Is x not equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 785 + -732. Suppose -57*u + 61 = -v. Solve 5*p + y = 3, -u*p - 2*p + y = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190672549.6043 + -14.\nAnswer: 190672535.6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**3*k**3*n*o + 1416*d**3*k**2*n**2*o + 2*d**3*k*o + 2*d**2*k**3*n**2 - 32*d**2*o - 3*d*k**3*n wrt n.\nAnswer: 2832*d**3*k**2*o + 4*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3295841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1498 - -1582. Calculate the greatest common divisor of m and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/2 - 7175*b\/2 - 3124300 = 0. Calculate b.\nAnswer: -785, 7960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1102, -2508, -3930, -5368, -6822, -8292?\nAnswer: -9778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*b - 215*b + 18 = 0. Solve 2*n - 11*n = b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11911184 rounded to four decimal places?\nAnswer: -0.1191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1025 - -1030. Let a be (0 - 0)\/(-2 - -3). Sort 7, a, q in descending order.\nAnswer: 7, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1134 - 328.7134. Let a = s + 292. Let g = 29 + a. What is g rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13987 = 4363. Suppose 9355 = -5*a + w. Let d = a - -1756. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111109 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53240 - 476935\/9. Let z = f - 247. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:33 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 - g**3 + 0*g**3)*(-5620162 + 5620162 + 10020*g) as a + l*g**2 + n*g + j*g**4 + r*g**3 and give j.\nAnswer: 20040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 7*j**2 - 10*j - 13. What are the prime factors of u(12)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/225*3510\/702.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311403 - -10?\nAnswer: -311343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/25)\/((-76)\/95). Sort u, 5, 2 in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 20 = 5*f. Suppose -f*b = -16 - 9. Suppose b*q - x - x = -4, 3*q + 4 = 2*x. Which is smaller: 1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s + 209136 = 867107. What are the prime factors of s?\nAnswer: 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*j**2 - 5*j**4 - 65*j**2 - 2*j**3 - 2*j + j**3 - 1072 + 1064 to the form i*j + t*j**3 + f*j**2 + y*j**4 + s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0 - z + 1\/6*z**4 + 1\/3*z**3 - z**2. Let f(x) = x**2 + 2*x - 1. Give 4*f(q) - 3*j(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5, 1.37, 2, 2\/13 in descending order.\nAnswer: 2, 1.37, 2\/13, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 + s**5 - 5*s**5 + (-2*s**2 + 10*s**2 + 2*s**2)*(s**3 - s**3 + s**3).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 10. Let x(u) = -u**2 + 8*u + 4. Let f be x(7). Let m be j(f). Solve -4*p = -0*p + 4*c + m, 19 = -3*p - 2*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 2 = 51*g, 3*p = -40*g + 45*g + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/2 - 15*v\/2 = 0. Calculate v.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.02 - 3.32. What is the nearest to -0.1 in o, -0.4, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21837 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-214)\/(-5457))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/6 - 1447*k\/6 - 436384 = 0.\nAnswer: -1049, 2496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26483*h**5 + 13*h - 692 wrt h?\nAnswer: 529660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 13*h**2 - 33*h + 51. Determine z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -4613?\nAnswer: -415.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2205.6 - 2180.6. Which is the nearest to -1\/3? (a) 4 (b) -0.5 (c) -0.05 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90558 + 90558 - 189*c + (2*c - 6*c - c)*(-4 + 0 + 5))*(-12 + 12 + 3*c) to f*c + y + o*c**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 2*g - 4*g)*(4 - 3*g - 4).\nAnswer: 6*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 - p**3)*(-5*p + 2*p + 4*p)*(1 - 1 - 6).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2458.94004 - 2459. Let y = m - -0.06. What is y rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*d + 822*d - 30 = -2*q, 2*d = 3*q - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*y = 8*t, 2*y = 5*t - 9. Sort 0, 2, t, -65.\nAnswer: -65, 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*p - 955 = 0, -5*j - 4804 = -3*p - 50. Let w = j - -1444. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 - 212*a - a**3 - a**4 + 417*a + 2*a**3 - 202*a to the form f + h*a**4 + j*a**2 + s*a + k*a**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3442 = -4*p + 2*p, 2*p - 3*j - 3410 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788*v + 36192 = -55*v + 195*v for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = 2*t - 0, 4*b = -2*t + 2. Suppose -4*i - 14 = -86. Suppose i*k = 25*k. Solve 2 = -k*x + b*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9958888 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 6*u**2 + 5*u - 9. Let n be w(-7). Suppose -n*r + 24 = 4*a, a + 4 = -0*a. Solve 0*p = -2*p - r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -134 and 259.24.\nAnswer: -34738.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -s + 3*h, -3*h - 436 = 5*s + h. Let y = 131 + s. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 77*p + 177*p - 100*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -143a (base 14) in base 13?\nAnswer: -1825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 41 + 54 + 2*j - 20. Let d(i) = -6*i. What is z(d(f))?\nAnswer: 6*f - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3 + 16*i**2 - 29*i - 130 = 0.\nAnswer: -2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 2)\/((-4)\/10). Let g(y) = -2*y**3 - 6*y**2 - 11*y + 6. Let o be g(s). Suppose -2*l = 158 - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - (-1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -86. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1.264175\nAnswer: -0.252835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 2.3, 0.1, -97.\nAnswer: -97, -12, 0.1, 2.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.16 from -231368072569.\nAnswer: -231368072569.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**4\/2 + 239*w**3\/3 - 5747*w**2. What is i(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-4)*14\/35 - 11022\/(-4).\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:45 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5259438?\nAnswer: 2, 3, 97397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -9)*(2 - 1). Let i(l) be the first derivative of -3*l**2 + l**2 - 1 + 0*l + 5 + 3*l. Let m(r) = r - 1. Determine h*m(p) - 2*i(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 6*c**2 - 35*c. Let l(o) = 2*o**3 - 5*o**2 + 36*o. What is -5*h(k) - 6*l(k)?\nAnswer: -2*k**3 - 41*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 199, 436, 659, 862, 1039, 1184, 1291?\n\"Answer: -j**3 - j**2 + 247*j - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5124*k**3 - 7571*k**2 + 21*k - 14. Let a(h) = -2561*h**3 - 3785*h**2 + 9*h - 6. Let i(v) = 7*a(v) - 3*g(v). Find the third derivative of i(c) wrt c.\nAnswer: -15330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -57*(-8 + -4 + 9) is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*g**2 + 15*c**3 + 2*c**2*k - 4*c*g**2 + 2*c*k + 14*g*k wrt c.\nAnswer: 18*c*g**2 + 90*c + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 10. Suppose -m + 31 = -15. Calculate the remainder when m is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4 + 3419166*i**3 + 23934096*i**2 + 54706456*i + 41029824 = 0.\nAnswer: -1709576, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -172*s**4 + 6*s**3 + 3*s**2 - 3*s + 226. Let k(x) = -2*x**3 - x**2 + x + 1. Let l(j) = 3*k(j) + v(j). Find the first derivative of l(t) wrt t.\nAnswer: -688*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393703*w - 393714*w + 787593*w.\nAnswer: 176*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4, 2*v = l - 6*l - 3. Calculate the smallest common multiple of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19214 and -342791.\nAnswer: -323577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7625?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.3, 2\/5, -10 in increasing order.\nAnswer: -10, -0.3, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 24*r + 2. Let n be a(12). What is the second biggest value in -4, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 - 18 - (0 + -2). Find the second derivative of -n - n**p + 3*n - 3*n + 11*n**4 wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13159 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2441 (base 6) to base 10\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 182, 197, 212, 227, 242?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -482630046134.\nAnswer: -482630046133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3886*g**2 + 6003*g + 2668. Let u(j) = -35*j**2 - 54*j - 24. Let n(f) = -6*a(f) - 667*u(f). Let p(y) = -361*y**2. Calculate n(p(q)).\nAnswer: 3779309*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*i = -138, -5*w + 3*i + 59 = -3*w. Suppose -5*t = 2*p - w, p - 14 = -6*t + 2*t. What is the greatest common factor of p and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 13 - 1. Suppose -297*w = -302*w + 20. Solve -129*l**5 - 24*l**w + 133*l**5 + 18*l**3 + 18*l**m = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 5*o**2 + 6*o**2 + o**3 + o**3.\nAnswer: o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {o: 17, c: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.1 (c) -12.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -30?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 19*y**2 - 21*y - 137. Calculate the least common multiple of m(-19) and 12.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6945676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6218874 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.7629 tonnes in micrograms?\nAnswer: 321762900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*k**3 + 117*k**3 - 244*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-64)\/(-56))\/((-2)\/(-7)). Suppose 0 = 5*l + 4 + 1, 0 = m*u - 5*l - 565. Is 58 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 35. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -153*y - 1067. Let s(t) = t**2 - 15*t + 43. Let h be s(5). Let f be a(h). Factor 0 + 2\/3*q + 2\/3*q**f + 2*q**3 + 2*q**2.\nAnswer: 2*q*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13499929 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + 23 + -25 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 245 + 24 - 583 + 74 + 5*d in the form k + g*d and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*r*v**3 + 13925*r - 611*v with respect to v.\nAnswer: 33*r*v**2 - 611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**3 - 2*f**2 - f. Let k be t(-1). Suppose -k*u + 133 = -3. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54982.029039 - 54982. What is h rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*k + 5. Suppose 3*g + 3*j - 24 = 4*j, -k = 4*j. Suppose 4*o + g = 5*q - 30, 3*q = 2*o + 21. Calculate the remainder when 8 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Let y(q) = -q**2 + 17*q - 52. What is the lowest common multiple of g and y(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(1539))**2 + sqrt(1539) + 4 - sqrt(1539) - ((1*sqrt(114))\/sqrt(6) + sqrt(931) + (2*sqrt(931) - sqrt(931)))**2).\nAnswer: -13655 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*64 - (2 - 1). Let v(f) = f**2 - 21*f - 263. Let x be v(-9). What is the highest common factor of k and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21328 is divided by 237?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + -4 + sqrt(931)*2)*3*-1)**2.\nAnswer: -136980 + 9072*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 16. Let s = -14 - -9. Let u(d) = 4*d**2 - 5*d + 5. Let z(m) = m**2 - m + 1. Calculate s*z(t) + x*u(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.39958983 to two dps.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*o)*(3 + 15 - 5).\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53173922 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*c + 16, 3*c + 1 = 4*f + 4. Suppose 4*o = -x + 59, 2*o - 3*o = -c*x + 295. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2\/2 + 115*k\/2 = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013708049 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 229, 501, 879, 1363?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -2.4.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 927 - 9007292.0014.\nAnswer: -9006365.0014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 7*m - 2. Let h be r(7). Sort 4, 16, h in increasing order.\nAnswer: h, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274275293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 50 = -3*h, -4*h + w - 4*w = 55. Let d(i) = i**3 + 10*i**2 + 5*i - 12. Calculate d(h).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5719 - -6206.2. Let r = 491.938 - o. Let z = r + -4.8. What is z rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {g: 2, m: 5, c: 1, f: 8, n: 2, h: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 405 = -3*z. Does 5 divide 12339\/z - 8\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037696 rounded to 4 decimal places?\nAnswer: -0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from oioooooxo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*j**3 + 21*j**3 - 34*j**3 + 3*j**5 + (-2*j**5 + 0*j**5 + 0*j**5)*(2 - 1 + 0).\nAnswer: j**5 - 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7800639 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 6)*2\/6. Solve 3 = -o*n + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + a619?\nAnswer: a5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491188, 491215, 491260, 491323, 491404?\nAnswer: 491503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - 67*d**3 + 54*d**2 + 433*d + 1 wrt d?\nAnswer: 12*d**2 - 402*d + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 176635.\nAnswer: 9\/176635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 1 - 11. Suppose 3*l = 2*v + l + 6, -a*l + 20 = 5*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - ((sqrt(18) - 3*sqrt(450)) + sqrt(18)))\/((sqrt(18)*-2)\/sqrt(2)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = 4*r, 0 = -3*i + 4*r + 26. What is the remainder when 5 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/3, 164667, -3, 19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 - 11 - 2 + 2 + 1 + (0 - 1 + 0)*(0 + 2 + 0) + 0 - 5 + 6)*(0*p + p - 3*p) to q*p + m and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2353 and -0.11843.\nAnswer: -278.66579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.15663 + 0.00663. Which is the closest to n? (a) -1 (b) -1\/2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 15 + 4 = 0. Let g be 57\/i*(-1)\/3. Let s = g - -27. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33471167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (8 - 40) - (-3 + -45).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/63*(-1 + 0)*-4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1240204 + -1?\nAnswer: 1240203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.16233 and -1.5.\nAnswer: -1.66233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by (-98)\/(-6) + 2 + 70\/(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 + 9*a + 4. Let d be k(7). Let q be d\/8 + 3\/4. Let p be (-2)\/(-3) - (-2)\/(-3). Solve p = -q*f - 13 - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85725.909 + -85672. Let x = 54.43 + -0.43. Let y = b - x. Round y to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1703107*x**4 - 1528067*x**2?\nAnswer: -40874568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1. Let g(z) = -z - 2. Suppose 0*m + 12 = 3*m. Let x be 2\/m - 9\/6. Determine x*g(a) + 2*q(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let w(v) = -5*v**2 - 27391*v. What is w(b(c))?\nAnswer: -5*c**4 + 27391*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19270729.\nAnswer: 1753, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140\/9 - -1558\/99. Factor -2\/11 + 2\/11*u**2 + i*u - 2\/11*u**3.\nAnswer: -2*(u - 1)**2*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2321 - 2303. Calculate the greatest common divisor of w and 1674.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -149. Let y = 18 - -89. Let w = y + n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6))**(2\/5) assuming o is positive.\nAnswer: o**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6013 + 6018. What is the third biggest value in 4\/7, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 43. Suppose 0*a = -5*a - u*l + 370, -4*a = -l - 296. Let k = 76 - a. Solve k*y = 6*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4175*t**2 - 1379*t wrt t.\nAnswer: -8350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((66\/(-15))\/(-22))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/16 - 1\/8. What is the second smallest value in s, 0.5, 1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*t + 14, 0 = -2*o + 3*t - 6 + 29. Find the second derivative of 0*u**3 - u**2 + u**2 + o*u**3 - 13*u wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + f + 341 = 0, -3*c - 3*f + 662 = -c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2387437*v**4 + 324*v**2 + 2*v + 9 wrt v.\nAnswer: 57298488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1.737 (c) -2\/9 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-76)\/(-9 - -5)*7. Let r = k + -95. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 3*w**2\/2 - 12*w + 1. Let x be a(4). Solve 9*i - 4*i + 20 = x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-8 - 0) - -6 - (24 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*o**3 + 5*o + o + 385*o**3.\nAnswer: 278*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 2\/17 (b) 0 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5 - 2 + 0 + 8*x + 0*x**2 + 2 - 2*x**2. Let s(u) = -2*u**2 + 9*u - 6. Determine -6*l(w) + 5*s(w).\nAnswer: 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -17, -6 in decreasing order.\nAnswer: 1, 0, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 111953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 73258425.\nAnswer: 73258425.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 2:17 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1900*b - 953*b + 1057*b as t*b + c and give t.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k - 41 = 3*p, 0 = -3*p - 6. Let a = k + 4. What is the units digit of 1\/(-3) - 28\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 - -4.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (6 - 4) + -129 + 104\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53285944.\nAnswer: 2, 43, 191, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Let v = l - -81. Let m = v + -43. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - y**2)*(5 - 2 - 2) - 9*y**2 + 0*y**2 - 5*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*b = -202, b - 5*b - 26 = -c. Suppose -2*r + c = -4. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54416 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m + 3*m = 0. Let p = -4 + 8. Put p, -1, m in descending order.\nAnswer: p, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3248, 6470, 9664, 12830, 15968, 19078?\nAnswer: 22160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2 and -151\/1159338?\nAnswer: 1159338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284.07 + -283. Let t = 1.07002 - w. Round t to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -17 + 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 0.51103252?\nAnswer: -0.41103252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 10:13 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3*w**2 + w - 2. Let y be c(3). Suppose -5*z - y = -4*u, 4*u = -3*z - 6 - 1. List the prime factors of (-966)\/(-12) - u\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 457, 688?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 4*d + 4. Let z(y) = 2*y**2 - y. Let s be z(2). Let b be (2\/(-4))\/(s\/(-36)). Give n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 5*s**2 + s**2 + (5 + 2 + 6)*(2*s - s - 2*s)*(-5*s + 4*s + 0*s).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*k**2 + 4445*k**3 - 198 - 16*k**2 + 2*k - 4442*k**3 in the form l*k + x*k**2 + u*k**3 + i and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.35711831 + -116?\nAnswer: -85.64288169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*v + 96 = 0. What is the common denominator of 65\/42 and ((-70)\/v)\/(5\/20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49093 is divided by 16363.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416815961.\nAnswer: 1733, 240517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 112. Let w be 15 + ((-2)\/2 - 2). Let v = w + k. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926011 to the power of 1\/2, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/10)\/((-1)\/(-1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4919*i + 1441263. Determine q(-293).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(2\/7))**(-43)*(i**(-3)*i)\/i**(2\/13) assuming i is positive.\nAnswer: i**(-9140\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 7, u: 2, e: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 2\/207, 1490\/3, 1\/5, -4, -2, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m + 602 + 294 = 0. Does 7 divide (-234)\/4*m\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9856\/1650 - -5 - ((-58)\/(-6) - (-20)\/15).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) -2 (c) 0.6 (d) 4 (e) 9\/3694 (f) -22\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/99? (a) -989 (b) -2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 11) in base 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -166, -163, -158, -151, -142, -131?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1395 - 477 = -4*o, 0 = 3*v. What is the least common multiple of o and 78?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*l - 89*l**3 + 14*l - 3767*l**2 + 3768*l**2 wrt l.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k + 4*k**2 - 5*k**2 - k**2 + 3*k**2.\nAnswer: k**2 - 63*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + 7. Suppose -5*s + r + 1013 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033473166 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 328, -19 in descending order.\nAnswer: 328, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1287, -1292, -1301, -1314?\n\"Answer: -2*u**2 + u - 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0590901993 to 5 dps.\nAnswer: -0.05909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*f + 31*f. Let x(i) be the third derivative of f + 5*i**2 + 0*i + 0*i**3 + 1\/300*i**6 + 1\/150*i**5 + 0*i**4. Find m, given that x(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z**2 - z**2 + 10*z**2 + 0*z - 2*z - 11*z**2 + 13*z**2 - 2*z - z**2 + 2*z + (5*z + z - 4*z)*(-4*z + 4*z - 2*z).\nAnswer: 14*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 192095 or 197279?\nAnswer: 197279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 0.9248021414641?\nAnswer: -0.4248021414641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65 times -0.2?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 2*z**2 + 4. Let u(q) = -q**3 + q**2 + q + 1. Let i(v) = 4*v**3 - 2*v**2 - 4*v - 4. Let j(m) = i(m) + 3*u(m). What is 2*j(y) + n(y)?\nAnswer: -y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45696?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.6279 rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**2 - 85*l - 1206. Let h be t(-32). Calculate the greatest common factor of 46 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, n: 5, m: 5}. Give prob of picking 2 n and 2 m.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2, 1, -5, -0.6, 3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03753 to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/903)\/((-6)\/7). Let x = 76\/645 + g. Which is the smallest value? (a) 2\/5 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 966993604 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b**2. Let h(g) be the third derivative of 31*g**4\/12 + 245*g**2. What is h(r(m))?\nAnswer: 620*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59687819?\nAnswer: 6037, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 157407.\nAnswer: 10\/157407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -621\/208 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -9\/2, -0.2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2, 4, 270292?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10931*j - 11076*j + 3494*j - 2 + j + 2 + (1 + 0 + 0)*(-2*j - j + 2*j) - 2*j + j + 3*j to c*j + v and give c.\nAnswer: -18511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 2*a**2 - 4*a + 8. What are the prime factors of x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 3*k. Let t = k + 3. What is the greatest common factor of t and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1036960107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 285734600 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 21*m + 1277. Calculate r(-61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*a*x**2 + 11*a*x + 170*x**2 wrt a?\nAnswer: 17*x**2 + 11*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 1\/20*a**5 - 2 - a**3 + 1\/3*a**4 + 23*a - 3*a**2. Give j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-16) + 5\/40. Suppose 3*s = 3, -c + 5*s - 6*s + 2508 = f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f)\/f**(15\/7))\/(f**(20\/9))**47)**(-7\/11) assuming f is positive.\nAnswer: f**(6526\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 12. Let j = 9 + c. Suppose 4*n + j*z - 368 = 0, 4*n + 0*z - 3*z - 358 = 0. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 4, -4*a + 9*w - 13*w = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/2)\/2*31*50\/(-3100).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2. Let o(m) be the third derivative of 0 + 8*m**2 + 0*m + 0*m**3 + 1\/12*m**4. Calculate o(p(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 + 28768?\nAnswer: 28648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**2 - 75*n = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57481142.\nAnswer: 2, 28740571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06029 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*s = 2*v - 2, 4*s = 3*v. Is (5085\/20 + (-1)\/v)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 - 4*y - 10. What is the least common multiple of 9 and t(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 841\/(-29) - (39 + -55).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*i - 11 - 34 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8*l = 0. Solve 2*v + 3*v = -25, 3*t + v + 14 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*z - 44518 + 5842 = 0. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbqbbbbbqbqqb. Give prob of picking 3 q.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, 101429 in ascending order.\nAnswer: -15, 5, 101429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c + 49. Suppose 0 = -4*q - 3 + 15. Let d(i) = 2*i**2 + 3*i + 3. Calculate q*k(u) - d(u).\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*b = 184, -4*w + 0*w - 156 = -3*b. Let u = -17 - -21. Does 21 divide w\/7*(-14)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 35*k**2 - 76*k + 1501. What is the thousands digit of t(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q + 44. Let y(b) = 51*b + 87. Let d(v) = 7*u(v) - 3*y(v). What is the derivative of d(a) wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -2\/21, 3\/5, 31?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 14) to base 13.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66741 - -66741.0499972. Let w = 0.05 - y. What is w rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a factor of 3356271345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59910 and 109835.\nAnswer: 659010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 3*g**2 - 253*g + 63. Calculate j(18).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 5*o - 46. Let n be x(10). Solve -4 - 4 = n*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.3 (c) -2\/7 (d) 2 (e) -1652 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 4)*(124\/40 - 3). Let n(m) be the first derivative of 1\/3*m**2 + 4\/9*m**3 - c*m**5 - 1\/6*m**4 - 1\/3*m - 1. Find j, given that n(j) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35ed (base 15) in base 16?\nAnswer: -2cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**3 + 5*m**2 + 21*m. Let g(s) = 9*s**3 + 6*s**2 + 22*s. Determine -5*g(p) + 6*j(p).\nAnswer: 3*p**3 + 16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 105. Let c be f(0). Let b be 3*(c\/(-9))\/(-7). Calculate the common denominator of -19\/8 and b + 21 - (-4 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658978, -659008, -659066, -659158, -659290, -659468?\nAnswer: -659698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(128) + 2*sqrt(128) + 0) + 4 - (2*sqrt(128)*-5 + sqrt(128)*-2*5))**2.\nAnswer: 1856*sqrt(2) + 107664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-254)\/(-889) + (-2)\/(-14)*-30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2643*m*t**3 + 746*m wrt t?\nAnswer: -7929*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75335 and 96577?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**32\/k)\/k)\/k)**(2\/35)\/((k*k**(-2\/75))\/k**(-22)))**(-2\/15) assuming k is positive.\nAnswer: k**(22382\/7875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -478 + 508. What is the smallest common multiple of i and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 22*f + 64. Give d(21).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172987 less than 172985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4354*y - 2773496. Determine p(-637).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 778891 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:50 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007100578 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23747.2 + -36724. Round f to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 - 22*a**2 - 10*a + 1. Give y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(152) + (sqrt(152) - (sqrt(152) - sqrt(152)*-1*-6))))\/((sqrt(8) + (sqrt(80) + sqrt(80) + -2*sqrt(80) + sqrt(80) + sqrt(80))\/sqrt(10))*-6).\nAnswer: 7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/6755?\nAnswer: 1\/6755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 - 4954 - 7*p - 3*p**2 + 4954 to z*p + r*p**4 + n + u*p**3 + m*p**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*b + 3*b + 0*b - 29 - 4*b + 29 + (-4 + 3 - 1)*(3 - 3 - 2*b) + b - 1 + 1)*(86 - 166 + 68) as z*b + o and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/182 and -56\/117?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 166 (b) 3\/8 (c) -4 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -114*k**4 - 4762*k**3 + 5998*k**2 - 950*k - 172 = 0.\nAnswer: -43, -2\/19, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11 = 3*u + 12, -2*a + 2*u = -18. Suppose 10 = 2*f, 0 = -a*s + 3*f + 26 - 5. What is s rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 14. Suppose r = 3*r - z*r. Which is bigger: r or -2\/127?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -75. Suppose -16*d + u*d + 60 = 0. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1298545, -1298490, -1298435, -1298380?\n\"Answer: 55*u - 1298600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1, -2, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 - -227. Is r\/((-17600)\/(-80982) - 2\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1248)\/182)\/48*35\/(-9).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 11*t**2 - 19*t + 19. Let g be i(9). Let u be 44\/g - (-4 + (-66)\/(-15)). Solve u*k - 8*k - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 83*k**2 - 5*k - 268. Let p(u) = -177*u**2 + 9*u + 536. Let g(h) = 4*p(h) + 7*w(h). What is the first derivative of g(z) wrt z?\nAnswer: -254*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/(-35))\/(9\/60). Solve 5*w - w = m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - u. Give i(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 957715043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (115364\/(-955))\/(4\/(-110))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 - 4*l**2 + 3*l**2)*(-6 + 4 - 11 + (-5 + 6 + 1)*(1 + 1 - 5) + 3 - 7 + 3) to the form u*l**2 + y*l + j and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + 2 - 1 - y**2 - 12*y**3 + 4*y**3 + 122*y**4 - 131*y**4 + 7*y**3 in the form g*y**3 + r*y**2 + p*y**4 + x*y + s and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.2039 centuries to decades.\nAnswer: 62.039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-6)*(2 + 0). Let t(b) = b**2 + 5*b - 5. Let s be t(p). Suppose -2*q + 3*q = 9. What is the greatest common divisor of q and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwvv when four letters picked without replacement from {v: 3, w: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 580, 1161, 1742, 2323?\n\"Answer: 581*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(-q + 0*q + 5*q) + 3*q + q - q + q + 6*q + 0*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90214636.\nAnswer: 2, 4253, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -15, 0.9 in descending order.\nAnswer: 0.9, -1.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23880 is divided by 2648.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/5*(-17950)\/2513?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*k**2 + 299*k**2 + 260*k**2 - 800*k**2.\nAnswer: -59*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2697 is divided by 151.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12258 is divided by 363.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/3 - 5*y**3\/2 + 34*y**2\/3 + 40*y - 32\/3 = 0 for y.\nAnswer: -4, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 times 1\nAnswer: 0.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*g = -2*g - 29887, 22416 = 3*n - 4*g. Suppose 0 = -4*k + 388 + n. What are the prime factors of k?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 649.6 in -4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077544 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(120)\/sqrt(96).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 6*b**2 + 3*b - 8. Let x be y(-3). Solve -h - 14 = -x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/164)\/(300\/120)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3429 - 3426. Let t(p) be the first derivative of 2\/3*p + 2\/27*p**v - 4\/9*p**2 + 16. Let t(y) = 0. What is y?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - a = -10, 3*a = 4*h - 12 - 7. Suppose -h = -v - 3*f, 0 = -3*v - 3*f + 2 + 7. Let p = v + -2. Let w(n) = -9*n**2 + 1. Determine w(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/11 and 8 - 9 - 12\/(-560).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 4*(-1)\/(-2). Let w(o) = -o**3 - 16*o**2 - 3*o + 9. Let k be w(-15). Let s be (-1)\/6 + k\/(-54). Is h <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154793 is divided by 17191.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n - 3*n + 2*n + 15 - 17. What is v(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*i**3 - 45*i**3 + 94*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -427 + 305. Let k = u + 122.2223. Round k to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (1 - 35)*-7. Find the third derivative of -p*z**2 - 196*z**4 - 33*z**4 + 50*z**4 wrt z.\nAnswer: -4296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 10*l + 19. Let u be z(8). Suppose 0 = u*i - 23 + 2. Let a be i\/3 - 4\/(-6). Let y(s) = -3*s**2 + 2*s + 2. What is y(a)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 391 + -390. Calculate the remainder when 9 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 18 = -3*q + 2*l, 5 = q + 3*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/4, 0.2, -1, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42 + 5bc49?\nAnswer: 5bc07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbappptbitepbtp. Give prob of picking 2 t and 1 b.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -370178744, -740357487, -1110536230, -1480714973, -1850893716, -2221072459?\n\"Answer: -370178743*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 11:31 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17188727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 338*a + 10. Let x(s) = -171*s - 6. Let t(h) = 3*v(h) + 5*x(h). Let m(o) = -o**2. Give t(m(f)).\nAnswer: -159*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*j + 3*q + 54 = 774*j, -5*j + 3*q = 198 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1*1)\/(2\/(-244) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - -3384?\nAnswer: 3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 61\/(-57))*(-120)\/(-80)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894742 times 9?\nAnswer: 8052678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/135 + (-8)\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 58 = -3*p, 3*h + 30 = -3*p + 72. Suppose -p = 4*r, -15 = a + 4*r - 0*r. Is a >= -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 35*i. Let n(c) = -c**2 + c. Determine 2*n(s) - p(s).\nAnswer: s**2 - 33*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4048.8237 rounded to the nearest ten?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957447.\nAnswer: 211, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4808 is divided by 2262?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.37 - -111.37. Let t = 0.019 + 101.981. Let b = p - t. Is 2\/9 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - g + 14, -4*b + b + g + 10 = 0. Solve -b*p = -5*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1791032118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 5*w**2 + 6*w. Let p be g(6). Let v(r) be the first derivative of p*r - 1 + 2*r**2 + 2\/3*r**3. What is the second derivative of v(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.4 + 14.6. Let m = 22.999899 - g. What is m rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2))\/sqrt(7) - (sqrt(18) + 4) - (3 + sqrt(10)\/(sqrt(20)\/sqrt(4))).\nAnswer: -7 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 12323 = 31735. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 17. Let t(y) = 5*y - 38. Let u be t(6). Let j(k) = k. Let w(v) = v**2 + 4*v - 6. Let c(n) = 4*j(n) - w(n). What is u*c(x) + 3*z(x)?\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10655*a + 784*a - 9314*a - 2603*a.\nAnswer: -21788*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + o = 17, -317 = -3*f + 25*o - 454 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.148527 rounded to 1 decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + l - 4*l = -6, 2*v + 5*l + 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437726209?\nAnswer: 41, 67, 159347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1089*k + 1155*k - 450*k.\nAnswer: 1794*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 581, 1162, 1743, 2324, 2905?\n\"Answer: 581*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-5)*30\/(-9). Suppose -4*g = 2*z - 0 - 2, 5*z - 17 = -m*g. Find the second derivative of -3*j - j**z + 3*j**5 - j + 5*j wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztttttuttuuttuttu. Give prob of picking 2 t and 1 u.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 325?\nAnswer: 31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 353301?\nAnswer: 353313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6660\/(-999))\/(((-14)\/(-28))\/((-6)\/4)) + -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1816.6 (b) -6 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -234, -225, -37, -10 in descending order.\nAnswer: -5, -10, -37, -225, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -21, 25, 5 in descending order.\nAnswer: 278, 25, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (402850\/(-2730) - -148) + (-2)\/3 + 0?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 10. Let s = -744 + 739. Give u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/(-25)*(-2 - 62). Let u be (-18)\/3 + f\/14 + 1. Which is smaller: u or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 2, b: 1, d: 1, a: 1, y: 1}. Give prob of picking 1 w and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -8*y**2 - 775 + 1198*y + 59 - 178 = 0.\nAnswer: 3\/4, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72013847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 20, 2*y = 11*i - 10*i + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 25. Let f be v(-10). Suppose 2*k = -4*h + 330, -2*k - 153 = f*h - 479. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) - (-52288)\/12. Let x = w + -2793. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*g + 4, -3*g = 2*b - 2*g. Suppose v = -4*v - 5*h + 35, h = -b. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -106 + 1)*(-10 + 137). Let o = z - -30726. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12230003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*u - 48 - 76, -4*u = 4*x - 212. Suppose -2*w = w - x. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -637*l - 22933. Let m be f(-36). Let w be -2*(15\/6 + -1). Sort m, 1, w, 4 in descending order.\nAnswer: 4, 1, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0 + 1\/2*y**3 + 0*y**4 - 4*y**2 + 0*y - 1\/20*y**5. What is the derivative of m(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*b + 3, 2*b = -4*j - 2*b. Let l be j - -6*(-3 + 4). Let f(m) = m**2 + 3 + m + 3*m**3 - 2 - m**l - 3*m**3. Give f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**7\/2520 - l**6\/90 + l**5\/24 + l**4\/24 + 2*l**2. Let r(j) be the second derivative of t(j). What is the tens digit of r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 99*r**2 - 12*r + 36. Let w(n) = 48*n**2 - 5*n + 17. Calculate -6*t(z) + 13*w(z).\nAnswer: 30*z**2 + 7*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (-23 - 6) - (1 + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (6 + (0 - -17)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1409307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.218884 times -1?\nAnswer: -0.218884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-26))\/(220\/(-7150)))\/((-2)\/20)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.5 and 17525.1883?\nAnswer: 17509.6883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Sort -10, m, 2 in descending order.\nAnswer: m, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14890.32 + 14562. Round b to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(1 + 2 - 1)*(-20*k**2 - 44*k - 33*k + 80*k).\nAnswer: 40*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 125075159911+-5\nAnswer: 125075159906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.0598 - 0.0702. Let r = s + -30.56. Let u = r - -51. What is u rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 8*n. Let c(o) = -7*o - 254. Let p be c(-35). Let w be s(p). Suppose -85\/2*h**2 - 10 - w*h = 0. Calculate h.\nAnswer: -2, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.649 + 6.\nAnswer: 6.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 153?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 1018, 1952, 3260, 4942, 6998, 9428?\nAnswer: 12232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/32*2\/12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.04. Let i = l - 3.96. Let w = i - -3.5. Which is the third biggest value? (a) -1\/5 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -960, -0.3, 2, 7\/3 in descending order.\nAnswer: 7\/3, 2, -0.3, -960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.6 * 0.2.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2931185.127 rounded to the nearest 100?\nAnswer: 2931200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let k(d) = -12*d - 8. Let t(z) = 15*z + 8. Let q(v) = 3*k(v) + 2*t(v). Give -2*q(h) + 14*r(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 17 = -l. Let f(j) = -26*j + 22. Let t be f(-28). Suppose 8*i - 510 + t = 0. Do i and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36777 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.86326 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1295 + 2334 - 12 = 42*r, -5*r + 2*z = -12*r + 612 for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/5 + 2*d**4\/3 + 57*d**2 + 2*d. Solve q(j) = 0 for j.\nAnswer: -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56817*s - 56805*s = -48 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 12*x - 9. Let z be u(-13). Solve -l = -5*w + 12, l + z = 3*l + 4*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4962081 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040259 is divided by 613.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2. Let b(t) = t. Let c(z) = 2*z. Let q(m) = 3*b(m) - 2*c(m). Let u(o) = o. Let d(x) = 2*q(x) + u(x). Give d(v(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -17.\nAnswer: -65\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 817 times -69\nAnswer: -56373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 5)\/(2\/4). Let z be 2\/a - (-30)\/(-20). Sort -1, 4, z in ascending order.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/1260 - g**6\/120 + g**5\/30 - g**4\/4 + 6*g. Let k(m) be the third derivative of u(m). What is z in k(z) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666 + 4*i**2 - 666.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 198 = -i. Let o be (-140)\/i*15 + (-2)\/(-11). Let g = o + -54. Find the common denominator of -133\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2*-4)\/(sqrt(1296)*-2) + (sqrt(143) + sqrt(143) + -1*-1*sqrt(143))\/(sqrt(1100) + sqrt(1100) + -1*sqrt(1100)))**2.\nAnswer: 13\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1652448 divided by 5.\nAnswer: 1652448\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/9)*i**17*i)**(-2\/101) assuming i is positive.\nAnswer: i**(-338\/909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b*b**3)*b**(3\/8))\/((b*b**(3\/7))\/b**(-1\/3)) assuming b is positive.\nAnswer: b**(-737\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 18 + 67 - 28 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(27\/3)\/(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-3)\/(-4))\/((-86850)\/15440)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13151210 (base 7) to base 10.\nAnswer: -1205750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 500898179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*b - 4*w + 44, -2*b + 18 = w. Does 2 divide 22\/b + 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 545*c + 23402. Determine y(47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0 + 371*s**2 + 0. Let j(r) = -r**2 + 72*r + 2. Let z(q) = 3*q**2 - 180*q - 5. Let a(i) = -5*j(i) - 2*z(i). Give a(u(l)).\nAnswer: -137641*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3*i - 1\/2*i**2 + 4*i**4 + 15 - 16*i**3. Factor w(f).\nAnswer: (f - 3)*(4*f - 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*v**2 - 2)*(2*v**3 - 4*v**3 + 4*v**3) + 2*v**5 + 0*v**5 - v**5 - 270 + 270 - v + 27*v**5.\nAnswer: 32*v**5 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5\/7 + 16747*x**4\/7 + 70140610*x**3\/7 + 210170680*x**2\/7 - 60096608*x - 80103296 = 0.\nAnswer: -8372, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222 - 11002100012000?\nAnswer: -11002100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -4*l**2 - 3*l - 33. Let i be o(-3). Solve -4*r - i = -y, 0 = -3*y - 2*r + 3*r + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-5 + 3 + 4)*(2*n**2 + 3 - 3).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6873 = -5*b - z, -2*b - b + 3*z = -4131. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58114 by -4151.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -93092982 and -93092983 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4878 - -4877.999557. What is v rounded to 5 decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20715650?\nAnswer: 2, 5, 414313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -351665423.99975 + 351709174. Let f = 43760 - u. Let w = -10 + f. What is w rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -5*k**4\/24 + 5*k**3\/6 + 15*k**2\/4 + 4*k. Factor r(q).\nAnswer: -5*(q - 3)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 2 - 4*f + 4*f)*((0 - 2 + 1)*(-3 + 2 - 1) - 1037 - 659 + 564)*(0 - 1 + 4) in the form p*f + l and give l.\nAnswer: 6780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 2*r = 3*c + 342, 90 = c - r. Let t be 0\/(-2) + c + -19. What is the third derivative of 55*d**2 - 5*d**3 - t*d**2 + d**3 wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1957 + -1955. Solve -p + b + 1 = 5*i, p + 7 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221030122 (base 4) to base 8.\nAnswer: 511432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -28*q - 7*q**2 - 32*q + 62*q + 6 + q**3. Is 3 a factor of b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 195\/(-27) - 2\/(-9). Let p = 14 + b. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/2 + 44*h - 1927\/2 = 0. Calculate h.\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/3 - 4*v**2 + 3*v. What is the tens digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2 (c) 0.5 (d) 75 (e) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 431 - 867 - 23*c - 35*c**3 + 8*c**2 + 438 + 9*c**3 to the form q + a*c**3 + w*c**2 + x*c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369273 is divided by 942.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 17*z + 1837 = c, 5581 = 3*c + 7*z. List the prime factors of c.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Suppose 4*j + 12 = 4*o, -g*o = j + j - 18. Find the second derivative of -o*c**4 - c - 2*c**4 - c**4 + 2*c**4 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 166 = -3*z - 2*z, 0 = 5*p + 3*z - 201. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let w(a) = -6*a**2 - 2*a - 2. Let d(x) = -13*x**2 - 5*x - 5. Let u(h) = 2*d(h) - 5*w(h). Calculate u(s(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (6 - -121 - (-30 + 32))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 8*a + 10. Let v be h(8). Which is greater: v or -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r. Let m be q(3). Suppose k = -k + m. Suppose k = -3*j + 24. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48465333 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-38 + 54)) + 26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 105*j**3 + 15*j**2 - 15*j. Let o(q) = 15*q**3 + 2*q**2 - 2*q. What is 2*i(m) - 15*o(m)?\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -3, -572.\nAnswer: -572, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 * -0.3\nAnswer: -0.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(4 + 6 - 19)*(-394 + 1058 - 448)*(-a - 2 + 2).\nAnswer: -3888*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 - 0.6. Suppose -5*u - 299 = 3*k, 190 = -2*k + u - 5. Let s = -100 - k. What is the biggest value in s, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**10\/f**4 assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n + 361. Let c be q(-24). Solve c*s = 29*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*2*16\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 666.61 + 105.02. What is h rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/45958 and 23\/242.\nAnswer: 505538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/7, 117, -5, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*l - 7, -p - 13 = 4*l - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 60 = 11*k. What is the thousands digit of (-35854)\/(-20) - ((-742)\/140 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + -3 + 2*(-4*((-2*sqrt(363) - sqrt(363)) + sqrt(363)))**2*6).\nAnswer: 278776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + n**3 + 5*n**3 + (0*n - 4*n - 3*n)*(-3*n + 4*n**2 + 3*n) - 1 - 6 + n**3 + 8 - 3*n**3 + 2*n**3 + 2*n**3.\nAnswer: -22*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let b be -2 + 1\/1 + 5. Let j be k(b). Let a = -1 + j. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -42, -64?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 less than -0.052091?\nAnswer: 5.647909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1428\/11075?\nAnswer: 1428\/11075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**5 - 7*q**5 - 3*q**5)*(0 - 2 + 1).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 8*g)*(1 - 2 + 0 - 2 + 1 + 0 + (-2 + 1 - 1)*(-2 + 1 + 2) - 1 + 1 - 1 + 3 - 4 + 3 + 5 - 5 - 2 - 3 - 3 + 5 - 6 + 0 - 1).\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let z = 5 + o. Solve 2*s - 11 = 3*i, z*s - i - 8 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 11*n**2 - 26*n + 48. Does 31 divide b(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870 divided by 6.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + -9 + (-4 + -2 - -11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*t + 42*t + 44*t + 26*t**2 - 126*t - 8 to the form o*t + l*t**2 + z and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 534 and 12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrx when three letters picked without replacement from xrexeerexxxxxxxee?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2070, 2057, 2044, 2031, 2018?\nAnswer: 2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and (136\/(-27))\/(8\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20637.5 + -20638. Let n = -143\/3 - -48. Which is the second smallest value? (a) 2 (b) -1\/3 (c) r (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - m = 0, 4*j - 7*j + 5*m = 0. Let g = j + 5. Put g, 2\/5, -1\/7 in decreasing order.\nAnswer: g, 2\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:57 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u + 260*u + 345*u - 20070 = 0 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 243394.8 and -7.\nAnswer: -1703763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10179994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let z(s) = -6*s**2. Calculate z(q(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21110 or 5.447?\nAnswer: 5.447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2) - (-49)\/7. Suppose 368 = p*r - 3*r. Let j = r + -24. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.4 + 14. Let f = -55 + 18. Let k = f - -37.4. Which is the closest to 0.3? (a) d (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -36*d**2 + 1337*d - 61. What is f(37)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:23 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 962, 2014, 3430, 5198, 7306, 9742?\nAnswer: 12494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2850 and -37\/202445.\nAnswer: 6073350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**2. Let c(l) = l**3 + 6*l**2 - 2*l - 10. Let k be c(-6). Let i(x) = -542*x**2 + 1069*x**k - 543*x**2. Give i(y(v)).\nAnswer: -1024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4825 and 6176.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 0. Suppose -a + 3*p = a + 24, f = -3*p + 12. Find the common denominator of -67\/16 and (-291)\/a*1\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2422575 and 29070900?\nAnswer: 29070900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 22 = 2. Suppose -408 = -3*p - 405. Let t(o) = -o + 1. Let r(y) = -3*y + 3. Calculate k*t(u) + p*r(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.6 + -22. Put 1\/2, q, 0.7 in increasing order.\nAnswer: q, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u - 0*q - 3*q, 0 = -3*q - 3. Factor g**4 - 4\/3*g**3 + 1\/3*g**u + 0 + 0*g.\nAnswer: g**2*(g - 1)*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 66940?\nAnswer: 133880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-24)*71\/((-12425)\/140).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*z = -30 + 170, 127 = 4*p - z. Let g = p - -7. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.8036 - 1.\nAnswer: -10.8036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 - -309. Let u = v + -163. What is the third biggest value in 2\/13, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 7*b**4\/12 + b. Let z(o) = -2*o. Determine z(a(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2761.\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 + 914 = -155*b - 1354. Sort b, 276, -2.\nAnswer: b, -2, 276","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 6*h - 1530. Let s be (h\/10)\/((-3)\/468). List the prime factors of 4\/(-22) - s\/99.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 8:38 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 + 149 + 63)*(2 - 3 - 1)*((0*u + 4*u - 6*u)*(-1 + 2 - 2) + 3*u - 3*u - u + u - 11*u - 5*u) to d*u + a and give d.\nAnswer: 4732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12470378 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(180\/(-35)))\/(-3 + 11\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 3 = -24*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 35, 74, 141, 242, 383, 570, 809?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85279032082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(228)*-5*5)\/(sqrt(96)\/(sqrt(56)\/(sqrt(35)\/sqrt(5)))).\nAnswer: -3 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 1491 + 1561 = 0. Sort -3, -5, y, 0 in decreasing order.\nAnswer: y, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1185\/7 + -169. Suppose -3*f + 6*f - 12 = 0. What is the nearest to d in -3, f, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 3*f - 4. Suppose -66*d + 92*d = 78. Give x(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/453 + -4061\/3624. Find the common denominator of 29\/40 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t + 2 + 17*t + t**3 - 5*t - 8*t. Let z be j(2). Solve -n = z*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:34 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-438)\/(-3504)*(-8)\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgpppgpgpgp. What is prob of picking 2 p and 2 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*w + 55 = 0, -2*x + w + 2*w + 18 = 0. Factor 6*v + 12 - x + 15*v**2 - 6*v**2.\nAnswer: 3*(v + 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.1 + -3. Suppose 7*s - 50*s - 172 = 0. Put 0.3, s, -0.1, b in increasing order.\nAnswer: s, -0.1, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212518 and 47318.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-26)\/(z**(-1)*z*z**(-3)) assuming z is positive.\nAnswer: z**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12133212 (base 4) to base 10.\nAnswer: 26598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -25. Let t = n - -26. Let y = 15.000121 - t. Round y to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -2*y. Let g be 12\/((y - -1) + 2). Let n = 18 - g. Calculate the lowest common multiple of 2 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10101?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00213963 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 30 = -15. Let v be ((-8750)\/i)\/((-1)\/45600). Round v to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 13*m**4\/24 - m**3\/2 + 2*m**2. Suppose t = 2*k - 3 + 15, 3*t + 8 = -5*k. What is the tens digit of u(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 19*f + 1310 = 0. Let c = f - 117. Suppose c*j - 16*j = -4918. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9234 or -9443?\nAnswer: -9443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8863972 is divided by 309?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 268*g + 1644. Let h be f(-6). Solve -4*q = -4*r + h, 7*q - 8*q - 17 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 409, 1182, 2545, 4660?\nAnswer: 7689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 8*y - 1. Let x be v(-8). Let m be 2\/3*(x + 7). Let i be (3 - m)\/(2\/(-8)). Let f(q) = q**2 - 6*q + 3. What is f(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2593.\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 157\/3. Let m = -47 - -424\/9. Which is the nearest to -1\/4? (a) 1\/2 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.1262ml to litres.\nAnswer: 0.0681262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d - 3. Let a be r(2). Let y = 332 - 339. Let n = a + y. Solve -u + 6*u - n = 4*i, i + 12 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*s**2 - 2*s**4 + 48*s**2 - 24*s**2 - s + 1 in the form f*s + l*s**4 + c*s**3 + q + y*s**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {a: 1, e: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**4)\/(a\/a**(3\/7)))\/((a*a\/(((a**(-11\/4)\/a)\/a*a)\/a))\/(a**(12\/11)\/a)) assuming a is positive.\nAnswer: a**(-687\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/l)**(-4\/25)\/(l\/(l*l*l*((l\/l**(-7))\/l)\/l)*(l*l*l\/l**8)\/l) assuming l is positive.\nAnswer: l**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 571, 572, 573, 574?\n\"Answer: a + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c - 14. Let g be f(-3). Suppose -26 = -2*s + g*j, 27 = 3*s - 2*j + 4. Solve 0*m = -2*m - s*b - 27, 5*b + 20 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = -5*h - 0*g, 2*h = -3*g - 9. Let v(u) = -2*u - 4 - 1 + h*u + 4. Let d be v(2). Solve 0 = 5*m - 3*z - 7, -5*z + d - 6 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(11\/5))\/(a*a**(-11)*a))\/(((((a\/((((a\/(a\/(a*a**(-1\/3))))\/a*a)\/a)\/a))\/a*a)\/a)\/a)\/a)**37 assuming a is positive.\nAnswer: a**(553\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:15 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154668 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7729 (b) -2\/17 (c) 1\/5 (d) -2\/13 (e) -8 (f) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i**2 - i**2 + 20*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*n**3 + 12*n wrt n?\nAnswer: 1218*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73 - -2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105827 - 3?\nAnswer: 105824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -331 - 14?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from zzbzzbzbzzzbzzzzzzzz.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214550 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.14 (b) -5 (c) 1\/9 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1570 and 2319518?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*s + 38 - 40, -s + 6*j = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275679117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169.9489km to micrometers.\nAnswer: 169948900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -8. Let m(r) = -4*r + p*r + 4*r**2 - 3 - 2*r**2 + 4 - r**3. Give m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/8 + 1)\/(-2)*0. Let x(v) be the second derivative of 0 + d*v**2 - 6*v + 0*v**4 + 3\/5*v**5 - 2\/3*v**3. Find the second derivative of x(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 13. Let p be h(-3). Suppose a - 58 = -4*a + p*n, -a + 4*n + 26 = 0. Let y(k) = 2*k**2 - 6*k + 2. Let d be y(4). Is a > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - (-14 - -58)) + 70?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7531.759 centuries to decades.\nAnswer: 75317.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 - 221 = 4*o, 4*r = -2*o - 64 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in -4, -0.5, 28, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**40*d*d**24*d)**48 assuming d is positive.\nAnswer: d**3168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48911396 or 0?\nAnswer: 48911396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.024 + 0.124. Let y = j + 9.5. Let t = -2.038 - -0.038. Which is the nearest to t? (a) y (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9*v)**(-39)\/(v**1*v**(-12\/11)))**15 assuming v is positive.\nAnswer: v**(-64335\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -0. Let u = 23 + -18. Suppose u*c = a + 24, p*c + 5*a = -c + 25. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(28\/(-16))\/(-7)*(1 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4414 + -4349. Solve t*p = 64*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4692*g**2 - 4685*g**2 + 9410*g**2. Let c(j) = 153*j. Determine f(c(m)).\nAnswer: 772497*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -5*c**3\/6 + c**2 + c. Let p(y) = -161*y + 166*y - 153490 + 153488. Give 5*f(s) + 4*p(s).\nAnswer: -5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 - 6*d - 4. Suppose -4*u = -16 - 8. Suppose 5*y + 14 + u = 0. What is the units digit of a(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 times 6833?\nAnswer: 6013040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let c = -151 + 161. Suppose 5*v - c*v = -20. What is g(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 8*j**2 + 5*j - 3*j. Let c(a) = 13*a. Give c(q(l)).\nAnswer: -104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 7*m + 4. Let r be g(7). Suppose 2*q = 4*t - 0*q - 4, -3*t - r*q = -25. Let -t*o**2 - o**2 + o + 3*o**2 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9170184s to milliseconds.\nAnswer: 917.0184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 169*h - 2 + 3.\nAnswer: -169*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 920112.2ml?\nAnswer: 920.1122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/234215 and 44\/8425.\nAnswer: 1171075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/4 - 5*z**3\/3 + z**2 - 5*z - 4. Let p = 10 - 5. What is t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497, -1999, -4503, -8009, -12517?\nAnswer: -18027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwq when four letters picked without replacement from mwwqqwwwmwqwmqwqqmmq.\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 207353761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n - 1. Let g = 5 - 2. Suppose -g*h - 9 = -3. Let r be d(h). Solve -14 = -4*m - 3*l - 34, 3*m + 2*l = -r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0 + 0*o + 3\/8*o**4 + 0*o**5 - 1\/40*o**6 - 39*o**2 + o**3. Factor v(k).\nAnswer: -3*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87303 - 1?\nAnswer: -87304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 76. Let y(t) = -15. Let h(a) = -2*w(a) - 10*y(a). Let v(s) = s + 1. Give 3*h(d) + 2*v(d).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.247 - -19.187. Put -0.69, 2\/3, y in decreasing order.\nAnswer: 2\/3, y, -0.69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 5*l**2 + 3*l + 4. Let d = 10 - 4. Suppose -d - 6 = 4*p. What is the tens digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j**3 - 86*j**3 + 96*j**3 + 1.\nAnswer: 60*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14\/45 (b) 3 (c) -6 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 4*y**2 - 268*y**3 - 3*y**2.\nAnswer: -275*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, -1, -6, 1 in descending order.\nAnswer: 3, 1, -1, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3000 and 2775?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -511852, -511853, -511854, -511855?\n\"Answer: -t - 511851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-31)\/4)\/((-16)\/64) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21675150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -0.2, 4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(2\/3)*i*i*i*i\/(i\/(i*i**(-7)))*(i\/(i*i**1)*i)**(9\/2) assuming i is positive.\nAnswer: i**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5)*w\/((w**(-3)*w)\/w))\/((w\/w**(-2))\/w**(-6))*(w*w**(-2\/5)*w)**(-9\/5)*(w**(1\/2))**(-17\/2) assuming w is positive.\nAnswer: w**(-1273\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-90))\/(996\/1440*5). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 2 (c) -0.3 (d) -1 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(66)\/((sqrt(66) + 2*sqrt(66) - sqrt(66))\/sqrt(11)))*-1.\nAnswer: -5 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067514521 rounded to three dps?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.5. Let a = -1 + 0.92. Let s = 2.08 + a. Sort s, 1\/8, d in ascending order.\nAnswer: d, 1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 1 + (-65 - -24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18193, -3, 0, -1, 1 in increasing order.\nAnswer: -18193, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 + 3*a**5 - 2*a**5 + (5*a**3 - 3*a**3 - a**3)*(-5*a**2 + 3*a**2 + a**2) + 9*a - a**5 - 9*a + 4*a**5 + 0*a**5 - 3*a**5.\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -305, -549, -855, -1223, -1653?\nAnswer: -2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 2*d - 124, 943*y + 25 + 61 = 940*y + 2*d for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366808 and 6?\nAnswer: 1100424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -93?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y, 283*g - 284*g - 14 = -3*y. Let k(j) = -2*j - 31 + 0*j + 8 + 16. Determine k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 3392?\nAnswer: 16960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47973840 divided by 6.\nAnswer: 7995640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, -3, 113 in descending order.\nAnswer: 364, 113, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -838, -866, -932, -1048, -1226, -1478?\nAnswer: -1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09445*30.\nAnswer: 2.8335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -123\/985 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.01*0.53.\nAnswer: -48.7653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.11, -0.1, -450?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 237*h**2 - 2*h + 1701 wrt h?\nAnswer: 474*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, x: 3, n: 1, y: 1}. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.76 times -3229\nAnswer: -2454.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 1 + 8 - 2 - 5 - 8*p**4 as w + g*p**3 + a*p + t*p**2 + x*p**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43639, 43648, 43647, 43630, 43591?\n\"Answer: -q**3 + q**2 + 13*q + 43626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1053, -2113, -3173, -4233, -5293, -6353?\nAnswer: -7413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and 196.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/477 and -25\/2088?\nAnswer: 110664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 57857 = -137. Let p = 18129 - a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1, 1\/5, 0.01 in descending order.\nAnswer: 1\/5, 0.01, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/2 - 4\/8. Let z = t + 12. Suppose 5*h = h. Solve h = 5*y - z - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + -2*sqrt(144))\/sqrt(8) + (2*sqrt(288) + sqrt(288) - sqrt(288)) + sqrt(288))\/(4*sqrt(576)*-1).\nAnswer: -11*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1202101 (base 4) to base 12\nAnswer: 3781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 384 = -15*x. Let d = 47 + x. Calculate the remainder when d is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15967 = -5*c - q + 1552, 5 = -5*q. Suppose -2*d + 0*f - c = -f, 2*d = 5*f - 3504. Let v = -785 - d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**3 + 161*i**2 - 5*i + 80. Calculate z(23).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*i - 19*i. Let h be 2\/(-6) - (-13)\/3. Sort i, -2, h in descending order.\nAnswer: h, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1114 + 1114 + 3*v + 21*v**2 - 3*v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 15*c + 2*s = -2727, 2*c = -3*s + 5440. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 5*k - 2*k. Let z = -46 + k. Suppose 0 = 3*d + 5*j - z, 5*j - 5 - 15 = -5*d. Solve 3*r + 5*q - 15 = 0, -4*r - 2*q + 1 = -d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - k**2 + 3*k**2 + 0*k**2 - 2*k**2 + 3*k**2 + (k + 4 - 4)*(2 - 2 + 2*k) - 5 + k**2 + 5 - 4 + 4 - 5*k**2 + (-3*k + 2*k - k)*(21 - 12*k - 21).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 = -159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864100419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*z + 10*z - 11*z + (0*z - 2*z + z)*(-2 + 3 + 1) - 2*z - z + z)*(-4*z + 4*z - 3*z) in the form h*z + b + p*z**2 and give p.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**2 - 4 + 3*r - 3 - 14*r**2 + 3*r. Let p(a) = -a**3 - 4*a**2 + 6*a - 1. Let z be p(-5). Let q(f) = f**2 - f + 1. Determine z*q(t) - o(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*q)*(-q**4 - 3*q**4 + 2*q**4) - 76922*q + 180*q**5 + 76922*q.\nAnswer: 184*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1821626 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 - 88*f = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:11 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-175))\/(1932\/(-920))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224.873 - -225. Let l = -122407 - -122456.227. Let m = l - x. What is m rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2183 rounded to 1 decimal place?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -6*b + 27*b + c, -b + 4*b + 4*c + 75 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 14. Let j be (-1)\/v + 5\/20. Suppose -4*x = 5*g - 61, j = x - 4*g + 3*g - 4. What is the remainder when 17 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90954, 181937, 272920, 363903, 454886, 545869?\nAnswer: 636852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 + 3*p**3 + 5*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5 (b) -2 (c) -0.99 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:57 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12206 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {i: 1, f: 1, c: 1, q: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/(8\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + 3 + -2 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -26. Let g = -9 + t. Which is the second smallest value? (a) -2\/7 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183*f*r**2*u**2 + 2*f*r**2*u + f*u - 2*f + 5*r**2 + 2*u**2 - 124 with respect to r.\nAnswer: -366*f*r*u**2 + 4*f*r*u + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002111012220202 + 0?\nAnswer: 2002111012220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 + 17*s + 19. Let p be r(-8). Let u = p - -53. Suppose 3*h + 3*y - 1777 - 1994 = 0, u = -5*h - 2*y + 6291. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 30*q + 8. Give r(-9).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -19*v - 34. Let n(a) = a**2 + 9*a + 18. Let s be n(-5). Let b be j(s). Solve -4*r = -5*o - 33, -4*o = 5*r + b + 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v - 1. Let s(x) be the second derivative of x**5\/60 + 239*x**3\/6 - 58*x - 2. Let y(b) be the second derivative of s(b). Give y(p(t)).\nAnswer: -36*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 9) in base 2?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 283946 and 26?\nAnswer: 283946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3066, 6236, 9404, 12570, 15734?\nAnswer: 18896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.756772 to one dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, 0 in ascending order.\nAnswer: -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/25 or -1\/5?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -71334\/11 greater than -6485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*p - 47 = -4*n, -4*n + 3*p + 37 = 0. Suppose -2*o - 2*o + 8 = 0, -4*o = a - 10. Let z = a + n. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 minus -8766?\nAnswer: 8721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxxxxxxlxxl. What is prob of picking 1 x and 1 l?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -43*y - 261 + 113. Let a = -2 + 4. Suppose -5*k = a*z + 2*z - 21, 3*k = -5*z + 23. Solve -y*j + 32 = -4*l - 2*j, -11 = z*l + 3*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5980 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/6 + 3637*v**3\/6 - 43957*v**2\/2 + 1310683*v\/6 - 1061497\/3 = 0?\nAnswer: -3673, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4587*u**2 - 98*u**2 + 4720*u**2.\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550.946 milliseconds in seconds?\nAnswer: 3.550946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - y + 1. Let m be l(2). Suppose 0 = -4*v + 21 + m. Let u = 19 - v. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202 - -89. Let z = g - -161. Let v = 113 - z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l - 2*l**2 - 5150 + 5150 to u + g*l + n*l**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 3, l: 6, d: 5}. What is prob of sequence ll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 23920866?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74052 is divided by 22077?\nAnswer: 7821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/171*(-16)\/(7360\/1311)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240969354?\nAnswer: 2, 3, 40161559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2323*-57.39\nAnswer: -133316.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + 0.2. Let c = 0.17187 + 0.02813. Sort -5, h, c in ascending order.\nAnswer: -5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.528 and -5.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 7*k + 2*k - 1 + k + 1 + (-6 + 0 + 4)*(3*k - 2 + 2).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1\/39, 4\/5, 6 in descending order.\nAnswer: 17, 6, 4\/5, -1\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9567856 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 532, 1247, 2262?\nAnswer: 3577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let v(s) = -197 - 2*s + 99 + 94. Calculate b(v(l)).\nAnswer: 4*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((92\/96)\/23)\/(2\/16)*-54?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1101110?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708906 divided by 1?\nAnswer: 3708906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 340*s**3 - 339*s**2 - 2041*s - 6 = 0.\nAnswer: -2, -1\/340, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -373010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (3*2*(6*sqrt(1584)*1 - (-1 + -1 + sqrt(1584))))**2.\nAnswer: 8640*sqrt(11) + 1425742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -10.95. Let h = -4 - -14.5. Let u = j - h. Sort u, 2, -0.6 in increasing order.\nAnswer: -0.6, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993\/14 + (-1)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11328)\/(-1062))\/((-50)\/3)*7\/(14\/(-20))?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266451*i**3*v**3 - 16*i**3*v**2 + 91*i**3 - i**2*v**3 + 5*i**2*v**2 - i + v**3 - 23*v**2 wrt v?\nAnswer: 1598706*i**3 - 6*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3\/7 (c) -0.22 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166478\/35 - -23814\/5. What is s in -242\/7 - 2\/7*s**2 + o*s = 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*c = 97*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 7 = 0. Suppose -2*j + 1 + p = 0. Suppose 2*c + j*s - 11 = -c, -2*c = -2*s - 26. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4856 divided by 4856?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 292927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87 + -91 + (-3 + 13 - 1). Solve 1 = 27*t - 26*t + f*h, 0 = -5*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(3*c + 0*c - c) - 2*c + 2*c + 4*c - 44*c - 66*c + 9*c.\nAnswer: -93*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1141379cm?\nAnswer: 1141.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-9)\/(-2))*(-45)\/216*2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 5) to base 15\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3 - 106*a**2 - 2133*a = 0. What is a?\nAnswer: -79, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 3*x**2 - x + 1. Let t be (-9)\/6*4\/(-6). Let z be (t + (-21)\/15)*5. Calculate n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxwp when four letters picked without replacement from {x: 2, j: 6, w: 3, p: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*r + 205*r = -98 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2720 and 12699320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.987197m to centimeters.\nAnswer: 498.7197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 285, 268, 233, 174, 85, -40, -207?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/7 + 32*y**2\/7 - 5020*y\/7 + 46000\/7 = 0.\nAnswer: -92, 10, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 5*h - 23. Let j(g) = g**2 + 3*g - 12. Let i(r) = 5*j(r) - 3*p(r). Let k be i(3). Put 5, 15, k in descending order.\nAnswer: 15, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 6 + 14, d + k = -2. Let g be 1 + 3 + (-3)\/d. Suppose 2*m - 8 = -j, -8*j = -m - g*j + 15. Solve -4*a + 4 = m*b - 6*a, -2*a + 8 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**32*((d\/(d\/(((d*(d**2\/d*d)\/d)\/d)\/d))*d)\/d)\/d**7)\/((d**(2\/3))**(-3\/22))**(1\/5) assuming d is positive.\nAnswer: d**(-2144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/88806 and -19\/9.\nAnswer: 266418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 6*s - 9*s. Solve 2 + s = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 22889 = -5*c, 10*c = -w + 11*c + 7635. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z + 17. Let q be o(-3). Suppose -q*d - 7 - 48 = 3*l, 0 = -4*d - 20. Let j be (l\/(-2))\/(10\/4). Which is smaller: j or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/7 + 304*a**2\/7 + 9728*a\/7 - 163840 = 0. What is a?\nAnswer: -64, 56, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let r(s) = -186*s**2 - 3. Calculate r(f(j)).\nAnswer: -744*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**3))\/j)**(12\/5)\/(j\/(j*j\/(j**(1\/33)\/j)*j)*j*j**(-2\/13)*j) assuming j is positive.\nAnswer: j**(-18182\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**41\/(h**(1\/4)*h\/(h*h*h**(-2\/3)))*(h**(-1\/3))**(1\/28)*(h*h*h**(-2)*h)**(-2\/15) assuming h is positive.\nAnswer: h**(-3457\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122 - -12?\nAnswer: -3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 + -60. What is the highest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 + 12 = 0. List the prime factors of (v + 0)*(-22)\/(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 814034 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 467767621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.80892 decades to centuries.\nAnswer: 5.680892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 - 13*u - 2. Let l(v) = -10*v**2 + 28*v + 5. Determine -13*h(a) - 6*l(a).\nAnswer: -5*a**2 + a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -51. Which is the third smallest value? (a) m (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 979 + -978. What is the nearest to -3 in i, 6, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -176\/7 + 2\/7*s**2 - 174\/7*s = 0?\nAnswer: -1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 841730053 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35786109 to the power of 1\/2, to the nearest integer?\nAnswer: 5982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2188365 and 1295?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**6\/15 - 6*m**5\/25 - m**4\/5 + 4*m**3\/15 + 3*m**2\/5 + 2*m\/5 + 37. Factor k(r).\nAnswer: -2*(r - 1)*(r + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -770531.\nAnswer: 5\/770531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -31212*w**3\/5 - 17136*w**2\/5 + 12489*w\/5 - 1587\/5 = 0.\nAnswer: -1, 23\/102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*i + 6 = -762*i + 5*d, 2*i = 5*d - 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/8 and -33\/334.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 251*x**3 - 14*x**2 - 11*x + 14. Calculate the smallest common multiple of 126 and t(2).\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + ((sqrt(120)*-1 - sqrt(120))\/sqrt(5))\/(((sqrt(32) - sqrt(8) - sqrt(8)) + sqrt(8))*2) + 0.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -1.2?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(2*p**2 + 3*p**2 - 3*p**2) + (-3*p - 3*p + 3*p)*(0*p - 2*p + 15*p)*(6 - 40 - 10) + 0*p**2 + 3*p**2 - 4*p**2.\nAnswer: 1711*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -2 (c) 95 (d) -144 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-6*(sqrt(2299) + 0 + sqrt(2299)))**2 - -4*(2 + sqrt(57)\/sqrt(3)))*6.\nAnswer: 24*sqrt(19) + 1986384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2359, 4833, 7307, 9781?\nAnswer: 12255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrlob. Give prob of picking 1 h and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -0.8 (c) -7 (d) 5\/3 (e) -0.12 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10823 + 5049*u + 10823 + 12217*u.\nAnswer: 17266*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*c + 35, 52 = 3*b - c - 7. Put b, -1, 5 in ascending order.\nAnswer: -1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.22 + -6.72. Let u = -61 - -37. Let m = -22 - u. Which is the second smallest value? (a) y (b) -0.6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101100111010100 (base 2) to base 16.\nAnswer: 459d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -161*p - 541 + 73 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:16 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-84))\/((-24)\/(-252))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191 - -281. Suppose 330 - 298 = 4*b. What is the remainder when j is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 5*s, 5*s + 7 = 2*d - 11. Solve -d = -2*f + 4*y + 5, -2*f = 3*y + 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -477*(11245\/4095 - (-20)\/(-7))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 + -4. Let m = r - 0. Let h = 9\/7 + -8\/7. Which is the second smallest value? (a) h (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 l when four letters picked without replacement from iilyi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 614 + 0*m + 2*m**3 - 567 - 4*m + 38*m**2. Calculate the remainder when f(-19) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 102\/(-170) - (-5606)\/10. Let k = m - 559. Which is the third smallest value? (a) k (b) -3 (c) 0 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 228 and 0.032.\nAnswer: 7.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29999250 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 5. Let c be o(1). Solve c*k - 2 = 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -3002, -7010, -13024, -21296, -32078, -45622?\nAnswer: -62180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.26209 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -3590, -8056, -14318, -22382, -32254?\nAnswer: -43940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.3711943 - 5?\nAnswer: 164.3711943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 15) + -542 + 527 + 25 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85, -46, 55, 248, 563, 1030, 1679?\n\"Answer: 5*q**3 + q**2 + q - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(252) - (1 + sqrt(252) - sqrt(252)))**2 - (1 + (sqrt(1008)*4)**2))*3.\nAnswer: -52182 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1492 + 1543. Let a(x) = -x**3 - 7*x**2 + 6*x - 9. What is the remainder when a(-9) is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5145552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 72328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08556 to 3 dps.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*n**5 - 37*n**4 - 573*n**3 + 164629137*n**2.\nAnswer: 5340*n**2 - 888*n - 3438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3994526935 + 10165\nAnswer: -3994516770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6972.353nm in micrometers?\nAnswer: 6.972353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 226, 457, 780?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -11*k**3 - 11*k**2 + 11*k**3 - 3*k**4 + 17. Find the second derivative of w(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3*(-153)\/((-8466)\/(-166))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 537.\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11319096 (b) -4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/5 in 0, -6, 3, -4, 0.3, 0.03842?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -5, 0.2, 2\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17377 + 143316 = -71*s - 113012. Are -3855 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 3*b - 16 + 3*b)*(-4*b**4 + 2*b**4 + 0*b**4).\nAnswer: 2*b**5 + 32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from kqqlllklklllwllnn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1139543382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let o = 4864 - 4822. List the prime factors of (o\/16*n)\/(1\/24).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168662 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 3. What is the nearest to k in -3, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/5 (b) -2\/11 (c) -26 (d) 5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/8*-1 + 5019\/12. Suppose -4*u + 5*f = -g, 50*u = 46*u + 4*f + 424. Is 37 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(4\/3))\/z*z*z*z)\/z)\/z**4*z\/(z*z*z**(3\/8))*z*z*z\/z**(4\/5)*z assuming z is positive.\nAnswer: z**(-181\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 6. Suppose 2*f = a*f + 6. Let d = f - -6. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4404 - -104331?\nAnswer: 44422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 28. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 - 164*r**3 + 7*r**2 - 169*r - 145?\nAnswer: -24*r**2 - 984*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 417 - 413. What is the least common multiple of 76 and r?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -3*i**5\/20 + 2*i**4 - 7*i**3\/2 + 68*i. Let t(r) = 0. What is r?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 21373500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 9 - 5*d**2 + 4*d**2.\nAnswer: -d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -1\/2*d**3 + 0 + 0*d**2 + d. Suppose -20 = -2*t + 4*c, -5*t - 6*c + 4*c + 14 = 0. Let b(q) = q. What is t*b(i) + p(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 13 + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 5. Let a be x(-8). Suppose 0 = 4*b - a*b - 3. Solve b - 19 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z + 91. Let y be b(10). Solve -y = -5*k - 4*v + 4, v = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6) - 15\/12*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007229999 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-30 - (-51 - -15)) + -6 + -2 - 109?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 - 9*i - 15. Let a be j(-5). Let f = -10 + a. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030911117 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186433*f**4 + 180*f**6 + f**3 + 186433*f**4 + 297*f**2 wrt f?\nAnswer: 21600*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 3*s**2 + 3*s**2 + (s - s + s**2)*(0 + 5 - 3) + (0 + 0 - 2)*(-22619 + 184*s**2 + 22619).\nAnswer: -364*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 83*c + 10*c.\nAnswer: -86*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220934441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23048585.836 - -0.3?\nAnswer: -23048585.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**2 - 9998*u + 71*u**3 + 9990*u - 60*u**3. Suppose -4*c = -2 + 34. Let g(n) = 7*n**3 - 5*n**2 - 5*n. Determine c*g(a) + 5*s(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52516 and 51134?\nAnswer: 1943092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + sqrt(17) + -4)**2 + 1 + (sqrt(187)*-2*-6)\/sqrt(11).\nAnswer: -8*sqrt(17) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 16*z + 1500000. Round z to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = -3*q - 3, -4*q - 5 = -5*p. Suppose -3*h - 3 = -5*a, -a - q = 4*a + 5*h. Solve 0 = 5*t - r - 9, -7 = -4*t - a*t + r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 15) to base 16\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from {v: 5, y: 3, n: 2, s: 2, z: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:14 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 11. Let h be q(2). Suppose 2 + 13 = h*x. Suppose 385 = x*d - 295. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3678*f**5 - 831*f**3*y**2 - f**2*y**2 - 12414*f*y**2 + 27*y**2 + 2 wrt f.\nAnswer: -220680*f**2 - 4986*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3\/5*v**4 - 3*v**3 + 12\/5 - 3*v**2 + 12\/5*v + 3\/5*v**5 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at most as big as 7166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 12.26599128579.\nAnswer: -13.26599128579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 1 y when three letters picked without replacement from {g: 1, y: 1, d: 1, h: 1, e: 1, m: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 10, -4 in descending order.\nAnswer: 116, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*u**3 - 30*u**3 + u + 0 + 1 + 6*u to the form j*u**2 + o + b*u + k*u**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -553 greater than -546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -505*j + 6576. Determine i(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74808505 a multiple of 3415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 1:37 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, -44131\/5, 0.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {n: 1, v: 3, b: 4, y: 1, w: 5, s: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**2 + 25*q + 5*q**2 + 11 + q**2. Let y be c(8). Suppose -4*j = 2*i - 58, -y = -2*j - 4*i + 1. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85.5 - -85. Let o be 5*(11\/(-5) - -1). Let u = o + 4. Which is the third biggest value? (a) j (b) u (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1084 and 63075521.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144695 times 10?\nAnswer: 1446950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*c + 6 - 6)*(-10*c + 2*c - 2*c + (-4 + 0 + 2)*(c + 2*c - 5*c)) to j*c + b*c**2 + m and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5516 and -3.\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4301 + -24741. Round d to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h - 31. Let s be d(-5). Solve -s = -2*n + 5*i, 4*i = n + 5*i + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-101 + 44 - -38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/36 - (-3 + 10))\/(4\/32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:52 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {b: 1, a: 1, r: 1, q: 1, f: 2, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 3) + 1*2. Suppose -4*t = -4*h + 4, -d*t + 3*h + 0 = 4. Let f(o) = -321*o + 25038. Let i be f(78). Put t, 0.08, i, -1 in descending order.\nAnswer: t, 0.08, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 3)*(-7 + 7 + 3*q)*(-5 + 5 - 2*q) to c*q + j*q**2 + f and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 0*u + 3*u)*(-3*u + 0*u + 4*u) - u + u - 5*u**2 + (u - u + 2*u)*(81 - 81 + 10*u).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2. Let w(h) be the first derivative of 0*h**2 - 1\/3*h**3 + 0*h - 26. Give y(w(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.746318 micrograms to milligrams.\nAnswer: 0.000746318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 535 = -2*f + 5*o, 0 = -3*f + o + 393. Calculate the remainder when f is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*f + 161 - 51*f + 43)*(-4 + 6 + 0 - 1 + 1 + 1 + (-1 - 2 + 4)*(0 - 3 + 1) - 1 + 4 - 1).\nAnswer: -3*f + 612","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-30064075)\/(-2286))\/(-425) - ((-10)\/50 - (-23)\/90)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 - 5*p + 3. Calculate l(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Suppose 0*t = -t + 2975. Suppose -975 = p - 5*v, -3*p + 0*p + g*v - t = 0. What is p rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44*4\/1848)\/((-8)\/(-14)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.27 in -2\/5, -2.255, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puusrhfs. What is prob of sequence ps?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5781 is divided by 4784.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*x**3 - 18850*x**2 - 4*x + 361117?\nAnswer: 12*x**2 - 37700*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(2\/5)\/o)*o*o*o)*o*o*o**1)\/(o*o*o*o**(1\/2))**(-1\/7) assuming o is positive.\nAnswer: o**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 324593.3t in grams?\nAnswer: 324593300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*d**2 - 21 + 21)*(-4*d**2 - d**2 + 2*d**2) + d**4 + 2*d**3 - 2*d**3.\nAnswer: -77*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -0.07774?\nAnswer: 0.32226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*m - 23*m - 28*m + 10395. Is m a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -947*q - 281. What is the tens digit of s(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 2, n: 1, y: 1, s: 4, g: 1}. What is prob of sequence sn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x. Let z(i) = 4*i**2 + 2641*i + 8. Give z(w(q)).\nAnswer: 784*q**2 - 36974*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55.182135 - 0.929.\nAnswer: 54.253135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -84, -5, 5 in decreasing order.\nAnswer: 5, -5, -7, -84","meta":{"dup_signals":{},"source":"comparison__sort_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: Calculate the common denominator of 50\/214919 and 77\/29644.\nAnswer: 859676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + j + 27. Solve j*z + 4 = 5*a, 0*z = -z - 5*a + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 104, 5, -5 in ascending order.\nAnswer: -5, -2, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrv when three letters picked without replacement from {t: 2, v: 2, r: 5, q: 2, z: 7}?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = 4*t, -13 = -2*t - 5*z + 2*z. Suppose -t*i + 73 = 2*h, -4*i + 48 = -0*h - h. Suppose -i*q = 1687 - 4352. List the prime factors of q.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074971*a - 537685*a - 538100*a + a**2 + 0*a**2 = 0. What is a?\nAnswer: 0, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 73*n - 7 = 76*n, -17 = -t + 3*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*h - 15 = 632*h, -17 = 4*b + 3*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2 - 2)*(121 + 93 - 2) + (-2 + 1 - 1)*(10 - 10 + 16*q**2).\nAnswer: -456*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -471223, -942444, -1413665, -1884886?\n\"Answer: -471221*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 264*a - 249*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-21)*-7 + -5. Let l be (-40)\/(-12)*s\/(-15). Solve -4\/9*f**3 - l*f**4 + 0 + 8\/9*f**2 + 0*f = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4\/3*a**3 - 8\/3 + 1\/6*a**4 + 5\/2*a**2 - 4\/3*a = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(5*sqrt(45)))\/(((sqrt(80) + sqrt(80)*2*-1 - sqrt(80) - sqrt(80)) + sqrt(80))\/sqrt(10)))**2.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/32 - (-1)\/12. What is the nearest to 0 in 0.2, l, 106?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 60*n**5 + 21578*n**4 + 56292*n**3 - 40832*n**2 - 47808*n + 10710 = 0.\nAnswer: -357, -3, -5\/6, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1908.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293415417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 192\/128*((-7)\/154)\/(1\/8)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3858929*i - 1213581.\nAnswer: 3858929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 98*b**2 + 5900*b + 39904 = 0 for b.\nAnswer: -29, -8, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s**2 + 2*s**2. Let y(b) be the first derivative of b**2\/2 - 2. Determine y(q(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 7149, 24073, 57031, 111369, 192433?\nAnswer: 305569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (9 + -9 + -3)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 658602 + -2?\nAnswer: 658600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 867880 and 15346455.\nAnswer: 8345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*b*m**6 - 2*b*m**4*q - b*m**3 + 11*b*m**2 - 3*b*m*q + m**2*q wrt m.\nAnswer: 2760*b*m**3 - 48*b*m*q - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114461.\nAnswer: 17, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 10600?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 11*o - 21*o + 37*o in the form q*o + d and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 1 + (-1544)\/608. Let g = -4\/19 + q. Let i = -121\/3 - -40. Which is the closest to g? (a) -2\/3 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*p - 4*p + 28. Let x be p\/6 + -3*3\/(-27). Let 4\/19*q + x + 2\/19*q**2 = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*j + 9. Suppose -2*r - j*a + 66 = 0, 114 = 4*r - 4*a + 2*a. Let f = -9 - -17. Calculate the remainder when r is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldlududdddlddlld. What is prob of sequence dl?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5\/8 (b) 0.0767 (c) -3 (d) -8\/7 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 8.76, -5, -2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i - 3*i + (-4 + 0 + 2)*(-4*i - i + 3*i))*(-4 + 6 - 3).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 0.3, -31\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/10470198 and -77\/8.\nAnswer: 41880792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)\/(-2)*(-15 - (-2050)\/125). Which is the nearest to 0.1? (a) -6\/11 (b) -4 (c) 1\/5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = -b. Let q = 8 + b. Solve q = x - 4*j - 8, x + 6*j + 8 = 2*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.89 - 0.11. Which is the second biggest value? (a) 3\/7 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-13)\/((-5 - -2)\/408)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/34)\/(1*4\/48).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(2*sqrt(12)*-2) + ((sqrt(2904)*-1)\/sqrt(12))**2.\nAnswer: -sqrt(2)\/4 + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 912839651 < 912839651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:12 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5872961 to 4 dps.\nAnswer: 0.5873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -7*a**5\/50 - 67*a**4\/3 - 5312*a**3\/5 + 4608*a**2\/5 - 4931*a. Factor h(q).\nAnswer: -2*(q + 48)**2*(7*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + p + 31. Let g(b) = 79*b**2 - 5*b + 1793. Let t(a) = -g(a) + v(a). Find the first derivative of t(k) wrt k.\nAnswer: -156*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 78.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(-2*c**2 - c**2 + c**2) + 10*c**2 + 5*c**2 - 2*c**2 + (c - 3*c + 3*c)*(-3 + 3 + c) in the form d*c**2 + z + a*c and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 25*k**3 + 130*k**3 + 70*k**3 + 71*k**3 as i*k**3 + q*k + a + t*k**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -34 (b) -0.2 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(4\/5))\/(3\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - 11*w - 19. What are the prime factors of b(-5)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 526 divided by 1.\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*y + 6 + 13 = 0, -2*y = -5*v + 13. Let j(q) = -q**3 + 2*q**2 + 4*q - 1. Let o be j(v). Suppose 0 = -o*a + 21 + 63. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/28*28\/8. Sort 5, x, 3 in decreasing order.\nAnswer: 5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 6*a - 3. Let b be d(5). Let z be (b\/6)\/(-2 + 1). Differentiate 14*r**2 - z + 22 + 3*r - 3*r with respect to r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 2*r**3 + 0*r**3)*(-2*r + 4*r - 3*r) + r**4 - 2*r**4 + 2*r**4 + 573*r**3 - 206273*r**2 + 2*r**4 + 206273*r**2.\nAnswer: 4*r**4 + 573*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/8 - 5\/8. Which is the second smallest value? (a) z (b) 3\/13 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30870 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -39, -60, -95, -150, -231?\n\"Answer: -t**3 + 2*t**2 - 12*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 116*v**2 - 121*v - 181. Let z be q(-59). What is the third smallest value in -10, -23, 2\/15, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -10. Let n = b - -23. Let a(i) = i**3 + 10*i**2 + 3*i - 6. Let p be a(-7). What is the greatest common factor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3692\/(-2272))\/(0 - 0 - (-1)\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 830433435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1080927150 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -977 - -2957\/3. Let f(c) be the first derivative of -19 + 0*c**2 + 15*c - t*c**3. Differentiate f(r) with respect to r.\nAnswer: -52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 288*c**3 - 270*c**2 - 1416*c - 855.\nAnswer: -3*(c - 95)*(c - 3)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3315, 13215, 29697, 52755, 82383, 118575?\n\"Answer: -j**3 + 3297*j**2 + 16*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126945451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 45263\nAnswer: -9052.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - -3*(-4)\/12. Put c, -2\/3, 2, -4 in ascending order.\nAnswer: -4, -2\/3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60814.468 to the nearest 100.\nAnswer: -60800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49, -95, -147, -205?\n\"Answer: -3*n**2 - 37*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 186?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 764.5289 + -641.542. Let m = d + -123. Round m to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = -63. Let i = 17 + h. Solve -2*m + i*m = -4*k - 8, -k - m = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 20*q**2 - 15 + 8*q**2 - 10 - 24*q**2. Let c(l) = l. Let m(u) = 5*u. Let x(g) = 11*c(g) - 2*m(g). Determine r(x(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 583344254 a multiple of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157\/206 + -5\/412. Let g = 14 - 18. Which is the nearest to g? (a) -0.3 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {l: 3, e: 3, v: 1, p: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/345 and 85\/1886.\nAnswer: 28290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203972, 407944, 611916, 815888?\nAnswer: 1019860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((((-704)\/(-3630))\/(-16))\/(8\/36))\/(6\/(-20))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -177, -708, -1587, -2808, -4365, -6252, -8463, -10992?\n\"Answer: m**3 - 180*m**2 + 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -0.7, -1.\nAnswer: -4, -3, -1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.61 (c) -11 (d) 7 (e) 1.9 (f) 2\/13 (g) 1\/58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 5*a + 9. Suppose 0 = -3*j + 3*h + 3, -j + 0*h - 2 = -2*h. Let i be p(j). Let k = i - -12. Solve -k = 5*m, -25 = 5*f + 3*m + m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/5 + 44*k\/5 + 224\/5 = 0.\nAnswer: -14, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(252)\/(sqrt(9) + sqrt(36) - sqrt(9)))\/((sqrt(80)\/(sqrt(10) - sqrt(360)))\/sqrt(2)).\nAnswer: 25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 98 (c) 4 (d) 58 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 + 4*w + 1. Let g be o(5). Let u = -164\/3 - g. Which is the nearest to 0.1? (a) -2 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*f + 90*f + 1025 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-5) + ((-6248)\/(-726))\/(70\/21). Let f(q) = q + 3. Let b be f(-3). What is the nearest to -1\/15 in 1\/2, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2048) - (sqrt(2048) - -1*(sqrt(2048) + -1))) + sqrt(2048) + -4 + 1 + 1)*-1 + 3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-7)\/70*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 786 - 738. Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81713 minus 47?\nAnswer: -81760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 1431*x - 2047761\/2.\nAnswer: -(x + 1431)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27576640.\nAnswer: 2, 5, 7, 13, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -233377, -233339, -233301, -233263, -233225?\n\"Answer: 38*f - 233415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)\/(53 - 51)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**3 - 2*y**2 - 3*y. What are the prime factors of d(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)\/s)\/s)**(-5\/2)\/(s**5*s\/s**1))**10 assuming s is positive.\nAnswer: s**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607824*u - 3655110*u - 531861*u - 11945*u.\nAnswer: -3591092*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + ((-9810)\/252)\/(136\/12 - 13)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/2157 - -148823\/21570. Let d = 8 - 1. What is the common denominator of ((-10)\/d)\/((-9)\/(-7)) and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137683 by 623.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 33 = -3*d - 4*b, 0 = -d - 2*b + 13. Suppose 5*c - d = 2*i, -2*i - 21 = -5*i - 3*c. What is the units digit of (-35)\/(-21) + i\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from uuttuuuuuuuutuuu.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 6) in base 15?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 122, 192, 266, 344, 426?\n\"Answer: 2*h**2 + 60*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27262054 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 - 2. Let z be g(-2). Suppose x - 1990016 = -4*u, 3*u = -z*x + 1058665 + 2921347. What is x rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 7) to base 11.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236 - -4954\/21. Suppose 4*s = a + 9, 2*s - s = -4*a - 2. Suppose 0*z + 2 = -s*z. Is z not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - (-6 - 7)) + 23 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 398860.7 millennia?\nAnswer: 398860700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 6. Let n(k) = -k**2 + 2*k + 7. Give -3*n(i) - 4*y(i).\nAnswer: 3*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**7\/98 - o**6\/70 + 3*o**5\/28 + 5*o**4\/28 - 2*o**3\/7 - 6*o**2\/7 - 7*o - 1. Let b(k) = 0. Calculate k.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39122, 11, -2\/9, 5, -2\/57 in descending order.\nAnswer: 11, 5, -2\/57, -2\/9, -39122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)\/(v\/(v*v**11))*v**1\/(v\/(v*v**(-2\/23))) assuming v is positive.\nAnswer: v**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 1, h: 1, c: 6, o: 8}. What is prob of sequence cqca?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 22800?\nAnswer: 250800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-30)*13\/(52\/(-8)). Find w such that -y + 2*w - 2\/5*w**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5, -5*x = 6*r - 5*r - 15887049. Suppose 4*t + 125312976 + r = 0. Round t to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1612417, -1612416, -1612415, -1612414, -1612413?\nAnswer: -1612412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-450)*-10)\/((-40)\/1800)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1582*s**2 + 7*s. Let r(q) = 3202*q**2 + 12*q. Give -5*a(i) + 3*r(i).\nAnswer: 1696*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 9*n = 123. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4413899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4735, -9528, -14323, -19120?\n\"Answer: -u**2 - 4790*u + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52952*h = -52926*h - 598 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-2 - 4\/4). Suppose -4*o = -h + y, -33 = 3*h - 0*o + 4*o. Which is bigger: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.004 (b) -23 (c) 0 (d) -4 (e) 0.041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 8*l + 140 = 0. Calculate l.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u**3 - 11*u**2 + 5*u**2 + 6*u**2.\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633030402 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 3, -1\/4, 1.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - d = 10408, -33*t + 2*d = -38*t - 10411. Which is smaller: -27048\/13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11391 + -11389. Let k be (4 - -1)*(-9)\/(-15). Find x, given that 1\/9*x**4 - 7\/9*x - 5\/9*x**k + 2\/9 + x**r = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 436 in descending order.\nAnswer: 436, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 9*j**4 + 102*j**3 - 188*j**2 + 90*j - 13 = 0.\nAnswer: -13, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3409 is divided by 3407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/3 + 13*l\/3 + 12 = 0. What is l?\nAnswer: -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1000111 (base 2) to base 16\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 62*t**2 + 60*t + 191. Let z be m(63). Which is the second biggest value? (a) 1\/19 (b) 15 (c) z (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 609.\nAnswer: -6\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 at most as big as 2114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*s = 2*j + 1015, 5*j - s = 5042. Is j a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 8*u**2 - 5*u. Let o(f) = -735*f + 2208*f - 734*f + 3*f**2 - 740*f - 2*f**2. Determine h(q) - 5*o(q).\nAnswer: 2*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -44. Suppose 11*p - 23 = -f. Suppose -a - 2*c + 292 = 0, 2*a = p*c + 252 + 350. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**2 - 5*q + 5. What is the tens digit of r(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22498, 16.\nAnswer: -22498, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4142*n = -4125*n - 34 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24748231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270196 and 891211?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 1. Let s(r) = 2*r - 3 + 2 + 3. Let g(y) = -y**2 - y. Let p be g(1). Let w(a) = p*s(a) + 3*n(a). What is the derivative of w(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317834.\nAnswer: 2, 11, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3477904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.61 - -2.396. Round o to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + 56 + (75 + -61 - 13))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -540 + 1044?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 10) to base 5.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 7 = 5*h. Let s be 1\/2*0\/4. Suppose s = 3*m - 14 + 2. Are m and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/17, 0, 1\/5, -12.93, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11992 divided by 2998?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.87 + 28. Let d = -13.41 + 13.9. Let q = r + d. Round q to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 379341318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*s + 16 = 0, -4*f + s = -3*s + 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 448 or -66131?\nAnswer: -66131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 20*n - 8*n - 8*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6386928 and 23848.\nAnswer: 70256208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(7 - 3 + 4)*(k + 2*k - 2*k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 759 and 53199.\nAnswer: 585189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237470*s - 237470*s - 122*s**2.\nAnswer: -122*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 1306, 2565, 4240, 6331, 8838?\nAnswer: 11761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*r + 3 + 46*r - 22*r to x + k*r and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1859496um in kilometers?\nAnswer: 0.0000000001859496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 28 = 3*c, 3*t + 5*c = c + 14. Suppose 0 = h - t - 0. Let r be (5\/h)\/(1\/28). Solve o = -3*x + 10, 0*o + r = 4*x + o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55501 (base 7) to base 16.\nAnswer: -368e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ae + d?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4.6, -10.6, 0.5 in increasing order.\nAnswer: -10.6, -2, 0.5, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 50*g**2 + g. Let l be j(1). Let p = 9851 + -9647. Calculate the highest common factor of p and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -8*h**8\/7 - 3*h**4\/4 + 2*h**3\/3 - 75*h. What is the third derivative of p(s) wrt s?\nAnswer: -7680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-167*o**2 + 181*o**2 - 13*o**2 - o**3 - 1046)*(-3*o + 6*o - 2*o) as y*o + u*o**3 + l + p*o**2 + z*o**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 53*m**2 - 4*m - 155. Let y(b) = 18*b**2 - b - 52. Let z(d) = -2*l(d) + 7*y(d). Is z(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.73446um to meters.\nAnswer: 0.00000173446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 650*t**2 - 7512*t.\nAnswer: -2*t*(t - 313)*(t - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 631 = 162*q - 129*q, -4*s - q = 9 + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20201321 (base 5) to base 15\nAnswer: 33326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 583*f - 588 wrt f.\nAnswer: 583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -21. What is the third biggest value in -4, -2\/7, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17875 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1576, -1577, -1578, -1579?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(6*(sqrt(2) - (-3*sqrt(2) + sqrt(2)))**2 - (3 + (sqrt(10)\/sqrt(5))**2)).\nAnswer: -1854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 26 = -3*j, 0*j - 2 = j - t. Let f = j + 11. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 1851174.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*g**2*o**2 - g**2*o + 2*g**2 + 6*g*o**2 + 48*g - o - 82 with respect to o.\nAnswer: -28*g**2*o - g**2 + 12*g*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 30*o**2 - 55*o - 30.\nAnswer: -5*(o + 1)*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - i = 2322. Let f = i + 369. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -18 (c) 38 (d) -0.5 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0*l**2 + 3\/140*l**5 + 4*l + 0*l**3 - 1\/14*l**4 + 0. Determine f so that p(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 80.63385 micrometers?\nAnswer: 0.08063385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2*u**3 - u**4 + 2*u**3 + 11 - u - 2*u**2 - 5 as r*u**4 + a*u**2 + n*u + t + s*u**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32399140?\nAnswer: 2, 5, 1619957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {w: 2, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16036661 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1862, 0.3, -1\/5?\nAnswer: 1862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -13 + -87 + 65?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 405 + -274. What is the remainder when w is divided by -6 + 4\/2*3 + 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 150, 4, -363, -4 in decreasing order.\nAnswer: 150, 4, 0, -4, -363","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000533 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 83 + 22 = -3*t - 51, -s + 2*t + 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35.9 - -30.9. What is the closest to 1\/3 in 0, -3, d, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*j - 10 = -30, 0 = -5*n + j + 14. Calculate the remainder when 1*-1*(-1 + -1) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -66\/69055 and -173\/142170?\nAnswer: 280501410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 3}. Give prob of picking 3 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808711?\nAnswer: 137, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 56 = 3*w - 46, -5 = i - 2*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**2 - 83*s - 110. Calculate h(9).\nAnswer: -1586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*d**3 - 9*d + 9*d)*(-63*d + 24*d - 37*d) + 6*d**4 - 3*d**4 - d**4 in the form p*d**4 + l*d**2 + n*d**3 + h*d + k and give p.\nAnswer: 1294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 656, 1158, 1620, 2042, 2424?\n\"Answer: -20*z**2 + 562*z + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(-4*sqrt(11)*-1)*-2.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*z - 13, 20*l + 10 = 5*z + 18*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - 51. Let p be (-1 - 2) + -3 + (-471)\/l. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*o = 16 + 34, 4*w - 2*o - 14 = 0. Suppose -8*j + w*j = -l - 5, 5*l = -4*j + 3. Solve -2*x + j*c + 0*c - 14 = 0, 5*x - c + 23 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223302920?\nAnswer: 2, 5, 31, 101, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*t - t. Let u = t - 2. Suppose 0*a + 48 = u*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118584 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 5, m: 3, w: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 365*18\/240?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*k + 7*k + 5797 = 87*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.031 (c) -2 (d) 1 (e) -3192\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {t: 2, k: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(42\/(-120)) + (438 - 449)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1144 - 0.3861. Let f = 0.2714567 + o. Round f to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/504 and -27\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*-3)\/(sqrt(11) - (sqrt(11) + sqrt(99)*3)) + -2.\nAnswer: -2 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -103*r - 599. What are the prime factors of c(-35)?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77997135 less than -8?\nAnswer: -77997143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r - 12 + 30 + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 3. Let p = -37.1 + v. Let i = 0.01 + -0.21. Which is the third biggest value? (a) -1 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -57*(-4)\/84. Sort 4, 1, n.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1382*t**3 + 3*t**2 + 9*t + 7. Is g(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37511 (base 8) in base 15?\nAnswer: 4c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let i(r) = r**2 + 4*r + 2*r + 5*r**j + 0*r. Let s(d) = -d**2 - d. Give -4*i(m) - 22*s(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 17 + -10 - (131 - 22)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -856.6. Round l to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 424510?\nAnswer: -424515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(-6)*i*i*i)\/(i*i*i*i*i**(-3)\/i))\/(i**7\/(i*i*i**(-2\/15))))**(-20\/11))**(-8) assuming i is positive.\nAnswer: i**(-2944\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 58*j**2 - 5180*j - 4. What are the prime factors of n(-8)?\nAnswer: 2, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15581, 15583, 15585, 15587?\nAnswer: 15589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukuk when four letters picked without replacement from {k: 15, c: 2, u: 3}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -541\/2 - -270. Let p = -4 - -7. Let b = 2 - p. Is l greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -5, -547, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3068*g - 169*g**3 - 3068*g)*(6*g + 0*g + 4*g).\nAnswer: -1690*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31246 - -52959. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/604 and -57\/104.\nAnswer: 15704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 + (4 - 4). Let x(i) = -1 - 2*i + g*i - 3*i. Does 9 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 44686, -1, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 3. Suppose u*l - 5*l = 244. Let z = 221 + l. What is the highest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/5 + 194*-2. Let v = z - -661. Suppose -2*k = -p + 64, k + k + v = 4*p. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let k(q) = 3*q**2 - 6*q. Let d be -2 - (3 + -3) - -14. Let y = d + -12. Suppose 4*u = 3*b + 5, 2*b + 3 = -y*u + 3*u. Calculate u*k(z) - 6*p(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 394?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 4:03 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1098\/(-78) - -16) + -2)*(-3 + 0).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 9. Let n(q) = -q - 2. Let p(m) = -2*h(m) + 9*n(m). Let t = -9 + 16. Let z = -12 + t. Give p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 5*a**3 + 3*a**2\/2 - 9. What is the second derivative of y(q) wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - (1 + -1 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 380\/(-6288) + (-15)\/(-180). Which is greater: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 617*o - 90158.\nAnswer: (o - 122)*(o + 739)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 13*y - 2. Let b be t(-6). Let g = 70.3 - 70. Sort -1, b, g, -2 in decreasing order.\nAnswer: b, g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 8*n + 18*n)*(-2 + 6 + 9)*(-3 + 3 + 1) + 0 + 0 + n to m + q*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.1. Let r(f) = 25*f + 114. Let w be r(-5). Let q be (3\/(-12) - (-10)\/8)\/w. Which is the nearest to -5\/4? (a) q (b) l (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70\/(-4) + (-3)\/(-6). Let s be (-14)\/119 - 210\/(-51). Let c(y) = -2*y**3 + 7*y**2 - 6*y + 23. Let k be c(s). Is k bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 - 18 = 0. Solve 5*t = 3 - o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5523.\nAnswer: 5\/5523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2*(6*1 + 0). Solve j = x + 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 5 = -13*d + i, 0 = -2*d + 2*i + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.6789ms in minutes?\nAnswer: 0.001311315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 131164 (base 7) to base 3\nAnswer: 1020112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110310 - -1110021?\nAnswer: 333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u - 27. Let m be v(5). Suppose -5*n + 1814 = -m*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1134)\/(-84)*(-12)\/(-90)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*k + 314*k - 160*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 163 = 2*p. Which is bigger: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m - 36. Let j(s) = 2*s**2 - 51*s + 51. Calculate the remainder when j(25) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from mcmmbbubmu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303310 (base 4) to base 10.\nAnswer: 3316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13687868 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 18*j + 6. Let n be v(-9). Calculate the highest common divisor of n and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 4*c**2 + 6*c - 6. Let p be b(5). Let g = -14 - -36. Let k be (-2 + 36\/g)\/2. Is k not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q - 11*q - 2*q - 1. Let l be 1 - (-96)\/(-72)*(-9)\/(-6). List the prime factors of y(l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1011010101101110?\nAnswer: -1011010101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -13*j**6\/120 - 7*j**3\/3 - 11*j**2\/2 - 3. Let a(o) be the second derivative of r(o). Find the first derivative of a(p) wrt p.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 2. Suppose -p + 4 = 5. Let n(b) = -b**4 + b**2 - 1. Let x(u) = p*z(u) - 2*n(u). Find the third derivative of x(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 219\/27 + 2*11\/(-198). Let b(f) = 2*f**2 - 13*f - 18. Determine b(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -219*d**2 - 649*d + 28. Give g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5156 - -10147?\nAnswer: 15325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/157202 and -157\/738660?\nAnswer: 61308780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 2445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.5926 decades in months?\nAnswer: 50711.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 46 = -5*k, 10930*k + 290 = 10935*k - 10*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -5, -44 in increasing order.\nAnswer: -72, -44, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 150, 480, 1118, 2166, 3726, 5900?\nAnswer: 8790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -44. Suppose 62*k = 60*k + p. Suppose -3*o = -2*x + 2077, -12*x - 1040 = -k*x + 3*o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -319821487 less than -319821487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-328 + 15)*(-1 + 3). Let i = x - -630. Let q(j) = j**2 - j - 1. Let h(z) = 2*z**2 - 5*z - 3. Give i*q(k) - h(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1112*b + 78662. What is n(-71)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267 divided by 1504?\nAnswer: 5267\/1504","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 19, 25, 33, 43?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3 + 4812*o**2 - 18015805*o = 0.\nAnswer: -7285, 0, 2473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 29818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-96))\/((-12)\/(-9) - 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from pppzdpappddp?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6)\/4*208\/156?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15037*f**2 - 7510*f**2 - 7104*f**2)*(-2*f + 3*f + 0*f) to l*f**3 + n*f + b + k*f**2 and give l.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11593\/4 (b) 2\/19 (c) 5 (d) 3 (e) 0 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(1\/4)))**(-40))**(-9)\/((s\/(s\/(s*s**(-2\/33))*s*s))\/s**(1\/16))**(33\/7) assuming s is positive.\nAnswer: s**(10673\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -4393413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 119*u + 312. Let l be j(62). Solve -4*p = 4*x - 48, l*p + 15*x + 25 = 20*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.038 and 0.5?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-1035)\/63)\/(7\/(98\/12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 5, -1 in increasing order.\nAnswer: -15, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5876*v - 70 = -5886*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.87 * -2\nAnswer: -5.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111110011000010011 - -111?\nAnswer: 1000111110011000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.213 take away 44.83?\nAnswer: -45.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 94*o - 1687. Give j(70).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(1\/14). Let u(r) = r**2 + 30*r + 92. Let f be u(-27). Suppose -f = l - p. What is the third smallest value in l, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**3\/p*p)*p*p**5*p)**27 assuming p is positive.\nAnswer: p**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76, 176, 276, 376, 476?\n\"Answer: 100*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 12260033679.\nAnswer: 12260033674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*b + 84*b + 1738 + 7*b**2 - 871 - 867.\nAnswer: 7*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 11 - 55 = 0. Suppose 3*q = l + 4*l - 87, n*l = -5*q + 77. Calculate the remainder when 266 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 457*h**3 + 9157*h**2?\nAnswer: 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002087120296 rounded to six dps?\nAnswer: 0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 457*w. Let q be z(1). Suppose -11*i + q = 94. Let c be (11\/i)\/((-1)\/(-99)). Calculate the highest common divisor of 231 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 195260 or 195182?\nAnswer: 195260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1787 + 11874 = 137*k - 188 for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -17*j**4\/24 + 16*j**2. Let r(f) = f. What is r(z(h))?\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 134537864 to the power of 1\/2, to the nearest integer?\nAnswer: 11599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 734620*a**3*q**3 - 4*a**2*q**3 + 47*a**2*q + 7*a*q**3 + 10*a*q + 2*q wrt a?\nAnswer: 4407720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 12*j**2 - 13*j + 14. Suppose -11*b - 14*b + 875 = 0. Suppose -3*l - 2 = -b. What is t(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5568765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8 + 4. Let h(w) = 2*w. Let z be h(r). Are 2 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 492.1 + -494. Let i = u - -1.8639. What is i rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 4. Let z be a(0). Let r be (-2 - (-2)\/z)*-4. Solve w + r = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378559 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u. Suppose -4*t + u*y = 3*y - 43, 4*y = -5*t + 54. Solve 2*o = -a - t, -2*a - 11 = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84516 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.815 - -0.97. Let p = y - 34.055. Round p to 0 dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3333 - (-2 + 3\/6)*2. Let g be 2\/14 - b\/(-168). Solve 0 = -g*d + 22*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31103 + -25179. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/(12\/(-168)). Suppose 2*v + 7 = u. Let b(s) = 2*s - 13. Let h be b(v). Solve -13 = -3*k - 2*a, 4*k = 5*a - h + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*p + 3*p + 3*o, 4*p - 3 = -o. What is the lowest common multiple of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 44827788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 973761.3 days?\nAnswer: 1402216272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/53290 and -74\/207831.\nAnswer: 2078310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -4682 and 574547.\nAnswer: 569865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166532997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/28, 1, 26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -31\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12053, -24122, -36231, -48398, -60641, -72978, -85427?\n\"Answer: -3*g**3 - 2*g**2 - 12042*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)*t**6*t**(-1)*((t**(3\/4)*t)\/t)\/t)\/(t**6\/t*t\/t**4*t**(-4)\/((t\/t**(-5))\/t*t*t*t)) assuming t is positive.\nAnswer: t**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2\/3 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) + (3 - 0). Let m = -4 - -5. Is m\/4*j*518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -651*m**2 - 1085. Let d(o) = 1. Determine 1085*d(c) + n(c).\nAnswer: -651*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126754669?\nAnswer: 17, 43, 317, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/3*72\/(-60).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35579*b*d**2*l - 191*b*d*l + b*l*r - 30*b*r**2 - 2*b*r - 3*d**2*l*r + 3*d**2*r**2 + 3*d*r**2 wrt d.\nAnswer: 71158*b*l - 6*l*r + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*s - 165*s - 8779 + 28237 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (18 + -3) - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + y, -2*y + 3*y = 5*m + 20. Let d be ((3*m)\/(-3))\/1. Suppose -2*x + 39000 = -k, -d*k + 3*x - 195000 = x. Round k to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 + -2. Let o = -1 + s. Let c = -17 + 13. What is the third smallest value in o, -0.4, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvvyyynyvvcvccvncl. What is prob of sequence ln?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 56*j - 14. Let m be y(19). Which is the nearest to 2\/11? (a) m (b) 4 (c) 0.05 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*d - 146*d - 33. Let l be ((-1750)\/42)\/(d\/(-49176)). What is l rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 292?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 7*g = -l - 6, -g = 4*l - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and (-48 - -47)\/(2\/(-158) + 0)?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -2, -93645.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15767\/4 + 7849\/2. Which is smaller: -17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 + 4.11. Let f = 0.04 - p. Let i = 1577 + -1575. Which is the nearest to i? (a) f (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -3778260.\nAnswer: -4\/944565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-8) + -1)\/((-1)\/(-490)). Let z = 357 - v. What is the remainder when z is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-9)*2 - (3 + 1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w. Let m(y) = 2*y**3 + 3*y**2 - 4*y. Give 3*l(d) + m(d).\nAnswer: 2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254335 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-10 + (19 - -15 - 20))) + 87.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 18*k - 8 - 53*k + 22*k + 16*k. Let t(c) = -c + 4. Determine 2*g(b) + 5*t(b).\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-6)\/(-2))\/(1\/3) and (0 - 0) + -11*15\/(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 9*p - 17. Give n(-11).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 93838100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/150*10\/(-4)*6\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 3, 8, 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1137\/322 + -211\/23. Let j(i) = 3*i - 2. Let k be j(2). Find the common denominator of u and 52\/(-66)*(-21)\/k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179891\/2 greater than -89945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8\/288*-1)\/(12\/(-27))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 + 93*s**2 + 71*s + 85. Let u be o(24). Solve u*v - 231 = 94*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 1 + 235 + -240\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.05 - 0.05. Let g = -50387.02 + 50387. Which is the third biggest value? (a) j (b) g (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + 7*l**5\/60 - l**4\/12 - 2*l**3\/3 - 4*l**2. Let z be p(6). Solve z = -4*k - k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1000777*0.049.\nAnswer: 49038.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38975 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**2 - 4*x + 26. Let c(s) = 16*s**2 + 7*s - 49. Let i(h) = 4*c(h) + 7*g(h). Determine i(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10368*l = -10195*l + 1903 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -k - 47 + 42, -2*k - 8*s - 40 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*l + 55*l**2 - 13*l**2 - 16*l**2 - 11*l**2 - 2 - 11*l**2 in the form u*l**2 + i*l + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (2*sqrt(2592))\/(sqrt(729)*1))*3 + 3.\nAnswer: -8*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 - 7*i + 10. Let n be w(7). Let v(y) = -y + 14. Let k be v(n). Solve k*m + 0*m = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 <= 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 10*x**2 - 6*x + 10. What is c(8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*y**4 - 7 - 16*y**4 + 33*y**2 + 32*y**4 - 36*y**2 wrt y.\nAnswer: 864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) 0.5 (c) -6\/11 (d) 13.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -5, 12, 0.1, 6, -1.\nAnswer: -5, -1, 0.09, 0.1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2829*-0.81.\nAnswer: 2291.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404251 (base 8) in base 3?\nAnswer: 20202211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 + (6 + 0 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.825ms in nanoseconds?\nAnswer: 119825000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.96. Let h = 1.3 - p. Suppose 3*l + 4*k - 15 = 1, -k + 4 = 0. What is the closest to l in -2\/9, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*v = 15, -4*a + 3*v + 57 = -a. What is the common denominator of ((-278)\/(-36))\/(2\/(-6)) - -2 and ((-34)\/a)\/(24\/(-5))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 68, 2.\nAnswer: -7, -1, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 157784123 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -55243911371669.\nAnswer: -55243911371670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, a: 1, o: 3, m: 1, p: 4}. What is prob of sequence ma?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33741.\nAnswer: 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -3. Let g(m) = m**3 + 3*m**2 + 3. Let s(k) = -k**3 - 3*k**2 + 29*k + 89. Calculate the remainder when g(a) is divided by s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/210 and 43\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.29 + -1.29. Let w = -26 + 25.8. What is the second smallest value in p, -0.5, w, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28143.489 months in years?\nAnswer: 2345.29075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26077.\nAnswer: 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, n: 10}. What is prob of picking 4 n?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12863 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 415a - 33?\nAnswer: 4127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(7752\/1045)*8)\/(10\/12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.56, 0.4, 10, -5, 26\/7?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 38. Determine h(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/3, 352.3, 4, 2\/19, -4 in ascending order.\nAnswer: -4, -8\/3, 2\/19, 4, 352.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -3\/5, 29, 3 in descending order.\nAnswer: 29, 3, -0.3, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4122 is divided by 57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 14*v**2 + 83*v + 546. What is j(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104*q**3*r - 6880*q**3 - 534*q**2*r**3 + q**2 wrt r.\nAnswer: 104*q**3 - 1602*q**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1350367 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 1 + 6 + (5 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - -2. Find the third derivative of 11*m**2 + 2*m**4 + g*m**5 - 13*m**2 - 95*m**2 wrt m.\nAnswer: 1020*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5343 and -6?\nAnswer: -32058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1465 - -26285\/18. Find the common denominator of p and 61\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310703999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0*p**2 - 4*p**2 - 4 + 4*p + 4*p**2 + p**2. Calculate s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*b**2 - 11 + 99*b**2 - b**4 - 47*b**2 + (2*b + 2*b - 5*b)*(0 + 2*b**3 + 0) in the form f*b**2 + t*b**3 + a + o*b + x*b**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771.448ug in grams?\nAnswer: 0.008771448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + 4) - (-11 - 9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 39326.\nAnswer: 1573040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.1224501 to three dps.\nAnswer: 9.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 40372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 56 + 4*a - 7 + (0*a - 4*a + 2*a)*(1 - 1 + 6) + (3 - 4 + 3)*(0*a + a + 0*a).\nAnswer: -8*a - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357 - -205. Let w = 124 + j. Which is the smallest value? (a) 3 (b) 4\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:05 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 15*r. Let o(w) = 105*w. Give m(o(i)).\nAnswer: 1575*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 3. Find the second derivative of 13*y**2 + 18*y - 9*y**n - 7*y wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 452.87 and 0.07076.\nAnswer: 32.0450812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-327)\/(-2)*(-12)\/(-3). Suppose 209 = -5*a + x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/3 - 34*f**4\/3 - 61*f**3\/3 + 100*f**2\/3 + 124*f\/3 - 128\/3 = 0. Calculate f.\nAnswer: -32, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(1\/7))*a*a**(-36)*((a*a**(-10)*a)\/a)**(4\/5) assuming a is positive.\nAnswer: a**(-1482\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*w - 107*w = -99*w + 32998205. What are the prime factors of w?\nAnswer: 5, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/4 + 25*b**4\/4 - 41*b**3\/2 - 459*b**2\/2 - 1485*b\/4 - 675\/4 = 0. What is b?\nAnswer: -3, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 28260 + 116298 = 0. Suppose -24844 - t = -7*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/36 - (1 - 1). Let i = 0.09 + -0.19. Let g = 0.2 - 1.2. What is the closest to i in a, g, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 16*t - 5. Suppose 46*q = -95*q - 846. Determine x(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*d + 5825 = 3*t - 319*d, 4*t + 3*d - 7728 = 0. Calculate the greatest common divisor of t and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*w + 145*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.8474 millilitres to litres.\nAnswer: 0.7518474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574024 is divided by 573996?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173384 divided by 9?\nAnswer: 130376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x**3 + x**2 - 3*x + 1. Let a be y(1). Suppose 4*q + i - 99 = 0, -154 = -5*q - 5*i - a. Calculate the remainder when 92 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 5, l: 2}. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x = 3*d - 345, 2*x - 5*d - 153 = 0. Suppose 25 = -5*f, -p - 3*f - f = x. What is the units digit of (656\/p)\/((-2)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43326796567 from -51.\nAnswer: -43326796618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1979)\/(-23748))\/((-2)\/64).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**4 + n**3 - n**2 + n. Let r(z) = -27*z**6 + 5*z**4 + 3*z**3 - 6*z**2 + 3*z - 2. Let l(k) = -3*q(k) + r(k). Find the third derivative of l(w) wrt w.\nAnswer: -3240*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33193090 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = d - 1, 8*d - 4*b + 1 = 9*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = 2*f - 17*v - 17, 0 = -5*f - v - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16704, -66782, -150230, -267042, -417212, -600734, -817602, -1067810?\nAnswer: -1351352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 16 = 6. Find n such that -324*n - 117*n**5 + 555*n**2 + 80*n**4 + 447*n**2 + 113*n**p - 282*n**2 - 472*n**3 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 6*f**2 - 9*f - 18. Let u be a(-4). Suppose 18*h - u = 182. What is the remainder when 70 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13097*k**4*n + 5*k**4 - 4480*k*n - 46*n + 21 wrt k?\nAnswer: -157164*k**2*n + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(2 - (-36)\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)\/n**(-5\/2))\/(n*n\/(n*(n\/n**(2\/5))\/n*n*n))**(12\/13) assuming n is positive.\nAnswer: n**(231\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(5\/(-10)) - (-5 - -2). Sort -19, g, -2 in ascending order.\nAnswer: -19, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 760781, 1521531, 2282281, 3043031?\nAnswer: 3803781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -68\/21*b + 2\/21*b**2 + 578\/21 = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2728 (base 9) to base 16.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65562743?\nAnswer: 65562743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*z = -49*z - 47*z + 374 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -45. Let f = 22 - q. Is 3 - -856 - 0\/f - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-170)\/232509)\/((-45)\/54). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 308095464 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + sqrt(1331)*2 + 3)*-1 + 1.\nAnswer: -33*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Suppose 4*a - 5*v = 22, 2*a - 6*v - 12 = -3*v. Suppose -6 = -a*p + 3. Let u(d) = 4 - p + 11*d**2 - 1. Determine q(u(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -768.\nAnswer: -767.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/15181 or -0.3?\nAnswer: -25\/15181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -399224 (base 10) in base 6?\nAnswer: -12320132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 5*k. Suppose -3*t - 6 = 0, 5*m + 2*t - 2 - 4 = 0. Let h(n) = 4*n**m + 4*n + n - n - 3*n**2. Calculate -4*d(f) + 5*h(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 3820*z + 3. Let t be y(0). Factor -1\/2*o**t - 2*o**2 + 3 - 1\/2*o.\nAnswer: -(o - 1)*(o + 2)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:53 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 42 - 82 = -2*j, 4*v = 5*j - 254. What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52487 + 7489 = 2*d. Suppose 0 = r + 3 + 1, d = 5*b + 3*r. What is b rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*y - y + 1, -2*r = 10. Let w(g) be the third derivative of 7\/6*g**3 + 0 + 0*g**4 + 6*g**y + 0*g + 1\/20*g**5. Differentiate w(m) with respect to m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 14*m - 13*m - 7, 0 = -x + 3*m + 9. Suppose 0*p = x*p - z - 692, -452 = -2*p - 4*z. List the prime factors of p.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54113939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 3*x**2 - 4. Calculate v(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 4229759\nAnswer: 21148795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.5. Let q be (1\/4)\/((-15)\/(-120)). Which is the biggest value? (a) u (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5692187, -11384341, -17076495, -22768649, -28460803, -34152957?\n\"Answer: -5692154*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1541 times -0.00896\nAnswer: 13.80736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-26)*(-923)\/142. Suppose 2*b - 10 = -0*t - t, -5*b + 2*t = -7. Solve -4*w + 17 = -3*h, -y*w + 5 = -b*h - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*o + 473*o + 476*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497689 to the power of 1\/2, to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2053753 (base 9) to base 7.\nAnswer: 12223410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -611*f**4*w - f**3*w**2 - 8*f**2*w**2 + 2*f*w**2 - 5 wrt f?\nAnswer: -14664*f*w - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*a - 2292, -22*a - 6924 = -3*j - 19*a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -12. Suppose -78 = -i*j + x, 5*j = 2*x + 108 + 23. Suppose 20*a + 465 = j*a. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/8)\/(24\/(-96))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64149, -64154, -64159, -64164?\nAnswer: -64169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399*o**5*w + 22*o**3*w + 728*o**2*w + o*w wrt o?\nAnswer: -23940*o**2*w + 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*w**3 + 1 - w**2 + 186*w**4 + 100*w**3 - 200*w**3 in the form p*w + f + b*w**4 + c*w**3 + z*w**2 and give b.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*u - 4*l, -4*u + 7*l - 8 = 3*l. Find the third derivative of -36*j**3 - j**2 - 18*j**3 - 3 - 48*j**u wrt j.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + 247\/(-52) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2 + 2. Let m(r) = -r**2 + 1. Let z(h) = -24*m(h) + 3*s(h). What is the first derivative of z(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 42, 123, 262, 471?\n\"Answer: 2*d**3 + 11*d**2 - 12*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c4b7 + -3?\nAnswer: 3c4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -2 (c) 7 (d) 8 (e) -2\/7 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 639\/(-21)*(-2)\/36. Let o = -13\/7 + s. Which is the nearest to -2\/5? (a) o (b) 4\/3 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*g - 21*g - 104. What is the closest to 15 in -0.1, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74153220 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -103217888 and -103217888 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33441433544 - 1?\nAnswer: 33441433543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 10. Suppose -4*p + 15 = -1. Let k = 0.13 + -5.13. Sort k, p, v.\nAnswer: k, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4326)\/126 + 44 + (-9)\/1)*-12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 571\/2 + -3991\/14. Which is the closest to 0.3? (a) 1\/8 (b) -4 (c) u (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/8)\/(7419\/39568).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 270. Let r be q(63). Solve -f - 5*f + r = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 145a27?\nAnswer: -145a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 19*g - 55*g + 35*g. Let q(d) = -2*d**2 + 2*d. Suppose 0 = -2*n - n - 3. Let k(h) = n*q(h) - 2*l(h). Let x(j) = -15*j. Calculate x(k(r)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7298080 to the nearest integer?\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 0*u**3 + 0*u**3)*(-2 + 1 + 2)*(2 + 3 - 2) - u**3 - 3*u**3 + 0*u**3 - 1 + 1 - 2*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 3903716*r - 31229856.\nAnswer: 2*(r - 8)*(r + 1951866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**2 + k + 2. Give l(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/((-351639)\/(-43956) + -8). Let y = -2213 + n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85036, -170076, -255116, -340156, -425196, -510236?\nAnswer: -595276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-34)\/6 - (-1)\/1)*-6. Let b(p) = -c + 17 + 12 - p. Let f(v) = 6*v - 5. Give -4*b(w) - f(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3379*c**2 - 1127*c**2 - 1130*c**2 - 1121*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Suppose 4*v + q - a = 0, 3*q + 4 = 3*v - 2. Solve 0 = 3*j + 8 + v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose -8 + 11 = x. Solve f - t = x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2688?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 7) + (1 - 9). Let y = 8 + d. Let n be (y + 0)\/(6 - 3). Solve n = -4*i - 4*o - 24, 5*i + 0*o - 2*o = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.2525459 to three decimal places.\nAnswer: 42.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - -92?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/3842 (b) -31 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17045 = -s + 21*i - 23*i, 5*s - 2*i = 85261. List the prime factors of s.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 3\/2, 2, 786?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = c. Let a = -14 - -12. Let t be a\/(-1 - 1*11\/3). Is c at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r - 87*r = -3*d - 52, -d + 34 = 3*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 95*v - 1\/22*v**4 + 0 - 3\/11*v**3 - 5\/11*v**2 + 1\/110*v**5. Determine a so that m(a) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5360 divide 852658080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -10, 3 in decreasing order.\nAnswer: 3, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7209\/10 - 720. Calculate the common denominator of j and -29\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x**2 + 14*x**3 - 20*x**2)*(4*x + 2*x - 3*x) + (2*x**2 + 0*x**2 - x**2)*(0 + 0 - 5*x**2).\nAnswer: 37*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 935 + -607. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 169440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079642987 is divided by 365.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30202 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (3 - 17)) + -13 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105363.55294 + -0.4\nAnswer: -105363.95294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4572 - 9571 + 6*q + 4999.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 16*x - 72. Suppose x*y - 33 = -2*y. Solve -3*l = -4*l + y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - x**2 - 1834353 + x**3 + 1834306 + 8*x in the form g*x**2 + f*x + b + p*x**3 and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4731837331 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 124*n + 540 = 40*n + 45*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -1, 2, 77, -5, 1 in increasing order.\nAnswer: -10, -5, -1, 1, 2, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46223\/4536 + -543\/56. Calculate the common denominator of 22\/105 and t.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + j = 249, 2*y + 5*j - 185 = 319. Suppose 2*k - 5*z = y - 8, 5*z = -5. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64221*d - 64030*d + 128254*d - 71.\nAnswer: 3*d - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 13232?\nAnswer: -5\/13232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 654294.\nAnswer: -196288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -13316 + 26664 + 195*b**2 - 27*b - 2*b**3 - 13347 in the form j + w*b + g*b**2 + u*b**3 and give g.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 209*c**2 - 158*c - 15. Let l(n) = -n**3 - n**2 - n - 3. Let q(d) = 6*l(d) + v(d). Find i such that q(i) = 0.\nAnswer: -1\/6, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 875 - -c207b?\nAnswer: c2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from {o: 1, p: 3, x: 2, c: 2, e: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 17*q**2 - 2*q - 76. Let z(a) = -13*a**2 - a. What is p(r) + z(r)?\nAnswer: 4*r**2 - 3*r - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 64*t**3 + t**2 + 2*t**2 + 101*t - 100*t to h*t**3 + z + d*t**2 + o*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + -14 - -1. Let t = 10 - 8. Let u be 3*t\/(-9)*b. Solve 5*j = j - u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**2 + 7665*x - 22. Let d(h) = h**2 - 1532*h + 4. Let v(p) = 11*d(p) + 2*w(p). What is a in v(a) = 0?\nAnswer: -1522, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*l + 15 = 0, 2*w - l - 2 = 8. Solve -w*u + 0*v = 2*v - 19, 3*v + 24 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 10*y - 1395 - 22*y + 12*y.\nAnswer: 2*y**3 - 1395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -20, 3 in decreasing order.\nAnswer: 5, 3, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131230150*f**2*g - 11780*f + 215*g - 1 wrt f?\nAnswer: 262460300*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 21. Suppose 5*t - 354 + 114 = 0. What is the greatest common divisor of p and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8162*m + 65283. What is h(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 - 9*p**2. Let x be ((-64)\/480)\/(184\/(-60) + 3). Let u(r) = -21*r**3 - 46*r**2 - 1. Give x*u(n) - 11*l(n).\nAnswer: 2*n**3 + 7*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -20*b**2 - 14*b + 8. Let l(w) = w**2 + w - 2. Let m(d) = 19*d**2 + 15*d - 17. Let h(q) = -6*l(q) + m(q). Give 8*h(o) + 5*n(o).\nAnswer: 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -199322*a - 7374913. Give u(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -67.\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.8 + 9.8. What is the nearest to -1 in -5, 1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -636.9067 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:15 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(2 - 3 + 2)*(1177*d - 13384*d + 5315*d - 11203*d - 7036*d).\nAnswer: -25131*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6088 - 4016 = -148*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*t**2\/9 + 44*t - 18.\nAnswer: -2*(11*t - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1199431 + 388921. Round d to the nearest 10000.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, 0, -23 in descending order.\nAnswer: 0, -2, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*s = -3*s - 381285, -s = 3*l - 285954. Let a = -364636 + 209317. Let v = l + a. 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: Solve 0 = 10*p + 14729 - 14859 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.181 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4057 (base 8) to base 15\nAnswer: -94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -1\/5 (b) 241 (c) 16\/5 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -201156, -201202, -201248, -201294, -201340, -201386?\n\"Answer: -46*y - 201110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -82781 greater than or equal to -2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1782, 2916, 4810, 7464, 10878, 15052?\n\"Answer: 380*k**2 - 6*k + 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14345 or -8\/7?\nAnswer: 14345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -7*g - 18. Let s(k) = -k**2. Let p(z) = -2*z**2 - z. Calculate g*p(w) + 6*s(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3 + 27. What is the second derivative of -10*s**2 + 7*s - a*s**2 + 6*s wrt s?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 20. Let p(a) = 4*a + a**2 + 7 + 11 - 3*a. Let y be p(r). What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7631.526 nanograms to tonnes.\nAnswer: 0.000000000007631526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1116626 by -14.\nAnswer: 79759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:57 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043095 + -0.1.\nAnswer: -0.056905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2*z)*(-6*z - 2*z - 9*z) - 2*z**2 + 0*z**2 + z**2)*((-2 + 5 - 2)*(-2 + 2 + z) + 2*z - 5 + 5).\nAnswer: 99*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*y + 242*y + 263*y.\nAnswer: -62*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*o - 21. Let g = -0.205 + 0.305. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157.634 + -158. Let o = n + -3.634. What is the second biggest value in -1\/4, o, 2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 3*i - 3*i)*(2 - 3 + 6)*(-83 + 83 + 5*i)*(5*i + i - 4*i) to the form w*i**3 + o*i + s*i**2 + t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 + 3912*w + 1275312 = 0.\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 7*p**2 + 5*p + 6. Let d be j(6). Solve 0 = -d*v - 5*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -7, 34, 0 in increasing order.\nAnswer: -9, -7, -3, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 910979 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/32 + (-14)\/(-4). Suppose 2*q - 39 - 25 = 0. Suppose 4*a + 0*a - q = 0. Solve l*c = -2*c - a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(2*n - 2*n + 3*n)*(-2663 + 2663 - 488*n).\nAnswer: -2928*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4725, 9453, 14181, 18909, 23637, 28365?\nAnswer: 33093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) 3\/13 (c) 2\/5 (d) 2\/33 (e) -0.5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7730*t - 3470*t - 1030400 = 0 for t.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/821 - 5737\/4105. What is the common denominator of 12\/25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001205547375 rounded to 6 decimal places?\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - e?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051014 at most as big as 1051014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(8) + -2)**2 + 1 + sqrt(3) + 3.\nAnswer: -3*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/(-8))\/((-2)\/12). Let b(m) = -m**2 - 2*m + 3. Let j be b(-3). Suppose 20 = 4*p - 0*p. Solve j = p*i - 2*w + 35, -5*i = -0*w - 4*w + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a2 (base 11) in base 10?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -0.12, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = 0, -2*c + 4*b = 8*b - 28. Suppose -2*z = -5*a - 363, a + 534 = 3*z + c*a. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/2 - 657*t**3\/2 - 17742*t**2 - 221234*t + 239304 = 0. Calculate t.\nAnswer: -26, 1, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.96 + -13.96. Which is bigger: x or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w**4 - 36*w**3 + 48*w**2 + 144*w + 48 = 0.\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8347, 8142, 7793, 7294, 6639, 5822, 4837?\n\"Answer: -j**3 - 66*j**2 + 8414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 502*u**2 + 235*u - 93. Is n(-168) a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p - 10 = q, 5*p - 3*q = 25. Suppose 3*z - m - 63 = 0, 4*m + 95 = p*z - 17. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*m - 16, -4*m = 8 - 4. Let v be (-42)\/35*20\/c. Suppose -v*q + 213 = -107. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/(-2))\/(-48)*8\/(-90).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y + 9. Let m be 1*-6*(-2 + 5\/2). Let k = m - -7. Let r(s) = 6*s + 4. Give k*c(o) - 9*r(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 4*q)*(4 - 55 - 6) - 2*q + q - q + 5*q + q - 4*q.\nAnswer: -57*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35624944 divided by -5392.\nAnswer: -6607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 74. Is (-13)\/x + (-682)\/(-10) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4 - 112*a**2 - 4*a + 33*a**2 + 40*a**2 + 38*a**2. Let o(k) = -2*k**2 + 4 - 3 + 3 + 3*k + k**2. Let d be o(-2). Determine m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1\/12999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h + 0*h)*(-h + 3*h - h)*(-1 + 0 + 0) + (5*h - 4*h - 3*h)*(-h**2 + h**2 + 2*h**2) + h**3 + 0*h**3 - 2*h**3 - 2*h**3 - h**3 + 4*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:51 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13324961?\nAnswer: 13, 1024997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -884, 8, 12, 6, -3 in descending order.\nAnswer: 12, 8, 6, -3, -884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 54 = 3*y, b - y - 24 + 2 = 0. Let c = b + -3. Suppose -5*j + 5*a + 45 = 0, 2*j - 3*j - 2*a + c = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 17 + 3. Suppose -w*t = k + 2, -4*k + 3*t - 8 = -t. Let x be 2\/(-3)*k*(-18)\/(-4). Solve -10 = -x*f + f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - 71. Solve 8 = 5*g + f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216495*r**3 + r**2*v**2 + 3*r*v**2 + 16*r*v - 192*v wrt r?\nAnswer: 1298970*r + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462756 is divided by 13221.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide (-52 - 246)\/(2\/454*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 6. Let q(h) = -h**3 + 5*h**2 + 5*h + 6. Let i be q(6). Suppose -4*a + 3*c + 36 = i, -6*c + 2*c - 4 = 2*a. Give n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 211 (b) -0.5 (c) 120\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-10431746.\nAnswer: -104317.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r - 2*r**3 + (-15*r + r**2 + 15*r)*(r + 2*r - 5*r) + r**3 + 3 - 3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 9392873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q - 3. Let k be f(6). Let d be 18\/k - (-1)\/66. Let l = -0.34 - -0.34. What is the nearest to l in -3, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, r: 1}. What is prob of sequence ar?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (114\/(-76))\/(33\/10). Let i = -119\/5 - -1141\/45. Let t = i + -65\/36. Do t and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + 81. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605 at least as big as 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 + d**3)*(7*d - 9 + 9 - 2*d + 4*d - 3*d + d + 2*d - d + (5 - 2 - 2)*(2*d + 2 - 2) - 2*d + 3*d + d).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k. Let t(c) = -173*c. What is i(t(p))?\nAnswer: -1384*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/9 - 76712*g**2\/9 - 843034*g\/3 + 919752 = 0?\nAnswer: -38323, -36, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 44. Let i = 25 - z. Let p(m) = -m**2 - 15*m - 8. Does 6 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -4*b + 11. Suppose -241 = 7*d - 59. Let p = d + b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**5\/20 - 5*i**4\/12 + i**3 + i**2 - 8*i. What is x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*r = -12, 14*c + r - 3 = 12*c. Sort c, 0, 2, -2, -4 in descending order.\nAnswer: c, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 5*a - 2. Let z be l(4). Let y be 0*(z - 3\/2). What is the derivative of 0*x**2 + y*x**2 + 1 + 2*x**2 wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82993 = -129*p + 3279*p - 191394 + 66487 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824 and 102372.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 112176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 1011750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*u - 21, -3*u - 12 = -4*g + 9. Suppose f - 5*d + 13 - 71 = 0, -g*f = 5*d - 114. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.88 + 17259468.9.\nAnswer: 17259471.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -315, 7, 2\/3, -2\/5, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 152*d**7\/35 - 49*d**4\/24 - d**3\/6 + 790*d**2. Find the second derivative of l(o) wrt o.\nAnswer: 10944*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j = -130*j. Sort j, 13, 48, 1 in increasing order.\nAnswer: j, 1, 13, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 28 + 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**4 - 560*l**3 - 14420*l**2 + 66960*l = 0. Calculate l.\nAnswer: -62, -54, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 12) to base 15.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(300) + 1) + (sqrt(3) + sqrt(6)\/sqrt(2)*-1)**2*5)*6.\nAnswer: -360*sqrt(3) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 451*c**6\/120 + 43*c**3\/6 + 125*c**2. What is the first derivative of d(g) wrt g?\nAnswer: 1353*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (7 + (-4 - 6))\/((-12)\/664) and 8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.01, -3, 10\/23?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84, -575, -1906, -4497, -8768, -15139, -24030?\n\"Answer: -70*j**3 - j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 6, d: 2, s: 2, u: 1, f: 3}. Give prob of sequence ued.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241.85109 rounded to one dp?\nAnswer: 2241.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 31*q**2 - 2*q + 1. Let r be b(1). Suppose -31*s + r*s + 142 = 0. What is s rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 963 divide 25608096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 781 divided by -206\nAnswer: -781\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 29 + 5*w**2 + 10 - 55.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 732.732 kilometers?\nAnswer: 732732000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2057 - 5764 = 168*j - 592 + 3605 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, 1364, 4424, 8704, 14198, 20900, 28804, 37904?\nAnswer: 48194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45901013\/28424 - 30682\/19. Calculate the common denominator of z and 33\/8.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14\/12 - (-3)\/(-18) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2783587*s - 927859*s - 927864*s - 927860*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 11180 = -5*f + f, 30 = -6*f. What are the prime factors of h?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2576 and 479150.\nAnswer: 88163600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466 times 4?\nAnswer: 5864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 - 582. Let o = c + 450. Suppose 2*i = 6*i - o. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -20971, -1\/2, 0, 448?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*p + 30, -5*m - p - 10 = 77. Let f = -21 + 28. Let r = f - m. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3157, -3142, -3103, -3028, -2905, -2722, -2467?\n\"Answer: 2*t**3 + t - 3160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -7*o**3\/3 - 2*o**2 - 7. What is the second derivative of z(w) wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d. Let w(m) = -77*m + 26*m + 24*m + 22*m. Determine q(w(c)).\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -148*n - 143*n + 293*n. Suppose -5*d - 17 = -2. Let s(f) = f**2 + 3*f. Give d*g(w) + 2*s(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 49*x**5\/60 + 7*x**3\/6 + 301*x**2. Let p(v) = -2*v. Give p(d(j)).\nAnswer: -98*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2))**4\/(y**(-10)*y*y*y*y*y**(2\/7)) assuming y is positive.\nAnswer: y**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.4236 millimeters in meters?\nAnswer: 0.3364236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:51 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -135? (a) -5 (b) -3\/7 (c) 0.01 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.1 - -26. Let s = -0.21 - -49.21. Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-3)\/9*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000226532432 to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7*(g\/(g**(1\/6)\/g))\/g*g*(g**(2\/11)\/g)\/g**(2\/39) assuming g is positive.\nAnswer: g**(6833\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 - 171470*l\/3 + 1028812\/9.\nAnswer: 2*(l - 257203)*(l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(245) + 2 - sqrt(245))**2 - (1 + -1 + 1 + sqrt(245))) + 2.\nAnswer: -7*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w - 23 + 5*w - 5*w. Let z be k(10). Calculate the remainder when 49 is divided by (-204)\/(-8 - -4)*(-1)\/z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.857 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-80) - (742\/16)\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 5*h**2 - 16*h + 4. Let x be j(8). Let r = 66 - x. Which is the smallest value? (a) r (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5186 and 5164 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 59. What is the lowest common multiple of 2 and v(17)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240669 at least as big as -240667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h. Let p(k) be the first derivative of 7*k**5\/60 - 13*k**2 + 10. Let c(t) be the second derivative of p(t). Calculate f(c(q)).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -389669.45 * 0.3.\nAnswer: -116900.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 33*w**2 + 18)*(2*w**3 + 0*w**3 + 15*w**3).\nAnswer: -561*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9733391\/7600096 + -2286\/1813. Find the common denominator of -31\/44 and f.\nAnswer: 46112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 24*q**2 + 34866*q - 173855. Determine o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*s + 195, 2*z = s - 5 - 50. Calculate the remainder when s is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1009 - -1017. Let r = -81.839047 + 89.83906. Let m = s - r. Round m to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 28*m**2 + 11*m - 8. Let j(g) = -9*g**2 - 4*g + 3. Calculate -11*j(y) - 4*t(y).\nAnswer: -13*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/k**(-6\/13))))\/(k*k**(-3\/5)*k))\/(k\/k**(7\/2)*k*k**17))**(-28) assuming k is positive.\nAnswer: k**(28098\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/2 + 22*k**3 + k**2 - 66*k - 985. Suppose i(x) = 0. Calculate x.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 2*k + 18 - 20 + 10 to the form c*k**2 + g + s*k + u*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11216418 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 12 = 2*h. Let j = h + 8. Is j\/3 - (-163)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1479, -1716, -1941, -2154, -2355, -2544, -2721?\n\"Answer: 6*d**2 - 255*d - 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(((-1)\/(-6))\/((-24)\/54)). Let h be (-114)\/o + (-4)\/32. Suppose -h*m + 9*m - 214 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o - 7*o - 35 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 25300?\nAnswer: 50600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**4\/24 - o**3\/6 + 2*o**2. Calculate q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15863 - 5310. Is w a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1478 * -12555.\nAnswer: 18556290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*c**3 - 317484*c**2 - 933297132*c.\nAnswer: -3*c*(3*c + 17638)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 3*h - 226, -2*r + 78*h - 82*h = -685 + 619 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 10*x + 96 = 0. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -232*b + 236*b - 10, 2*b - 5*g + 6 = 0. Suppose w = -4*l + 54, -5*l = 4*w + 10 - 83. Solve 3*p + 9 = r, 3*p = -5*r + b*p + l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -4 (c) -1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r - 14*r - 14*r - 3*r in the form f*r + i and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*15\/(-12)*4. Let s(o) = -57*o + 2. Let k(z) = -58*z + 2. Let u(i) = r*s(i) - 4*k(i). Let b be u(-1). What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -22*m**2 - 18*m + 1. Let q be j(-7). Let n = 371 + q. What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130665*j**3 - 77042?\nAnswer: 391995*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3155426\/639 or 4938?\nAnswer: 3155426\/639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 82817355 and 14?\nAnswer: 82817341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 + 96. Suppose -9 = -4*f + 2*b - l*b, -2*f - 5*b = 9. Solve -1 = f*g - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/17 - (-576)\/306. Let g be 160\/(-8)*b\/4. Let k(u) = u**2 + 11*u + 3. Give k(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Suppose -r*s + s = -25. What is the third derivative of 4*h**2 - 3*h**3 - s*h**3 - 13*h**2 wrt h?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqq when three letters picked without replacement from {z: 3, q: 2, r: 5, k: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*z - 22420, 2*k = 4*z - 4354 - 6866. Round k to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a centimeter in millimeters?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 924*m + 190*m + 140*m + 200*m to the form a*m + i and give a.\nAnswer: 1454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 168178 = -770993. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-16) + 2\/(-8). Find the common denominator of 1 - g - 201\/(-54) and 1\/(-4) - 306\/40.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27b + -10?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -47375 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 24*d**2 + 107*d - 69. Calculate f(9).\nAnswer: 1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18629.5669 - -18628. Round z to two dps.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 0.2, -1, 0, 0.4 in descending order.\nAnswer: 74, 0.4, 0.2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b + 4 - 4)*(-b**2 + b**2 - b**2)*(-432*b - 916*b + 319*b) in the form w*b + l*b**4 + n*b**3 + j*b**2 + p and give l.\nAnswer: 5145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*z - 10 = 0, -6*i + 5*z + 28 = -2*i. Let d be (i\/8)\/((-7)\/(-84)). Solve -13 = -t + 3*p, t = -p - 0*p - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/2 (c) -0.421 (d) 0.12 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 - 2*j**3 + 19*j**2 - 28*j + 12 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**(2\/9))))\/(g*g*g\/g**1))**(-1\/21) assuming g is positive.\nAnswer: g**(11\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-1))\/((-18)\/12). Sort 0, -1, x in ascending order.\nAnswer: -1, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3488 and 2659382?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 3*m**2 - m. Let y be 1 - 2\/((-4)\/2). Let h(t) = -2*t + 2. Let c be h(y). Calculate z(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3185917 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 5)*(-7 - q + 7) + 3 - 2*q - 3)*((0*q + 3*q - q)*(-2*q - 4*q + 4*q) - 3*q**2 + 2*q**2 + 4*q**2).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437992011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -252*q**5\/5 + 157*q**4 - 136*q**3\/3 - 104*q**2 - 32*q - 1213. Determine n, given that c(n) = 0.\nAnswer: -2\/7, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 23*b - 81, 3*b - 15 = -4*d - 18. Let n = 5 + -5. What is the smallest value in n, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) - 1 - (-7)\/98.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 9) + 6 + 7 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**18\/t)\/t)\/(t\/(t**(7\/2)*t)*t))\/(t\/t**(-2\/7))**(2\/9) assuming t is positive.\nAnswer: t**(255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 2745?\nAnswer: -19\/915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 223 + j**3 + 0*j**3 + j**5 - 11*j**4 - 9*j**3 + 362*j + 196*j**2 + 86*j + 33 = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 12*o**2 + 5*o + 65. Let f be 1*(80\/(-6) - 276\/(-207)). What is n(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = 2*o + 50, 3*o + 63 = -q. Let d be o\/18 + 5\/((-90)\/(-4)). Let h be d + 2 + 78889*-9. Round h to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220100111 (base 3) to base 13.\nAnswer: 14068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d**2)*(-16 - 3427*d + 14 + 4287*d).\nAnswer: -1720*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3899947 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 4*a**2 + 2*a - 1. Let g be (-3)\/5 - 24\/10. Let u be j(g). Calculate the remainder when 1*2\/u*9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51997?\nAnswer: 11, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 6*r**2 - r**2 + (-2*r - r + 2*r)*(r + 0*r + 0*r) - r - r**2 + r)*(-2*r**2 + 3*r**2 - 13*r**3 + 11*r**3).\nAnswer: 18*r**5 - 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1911\/(-196) - (-8 + (-8 - (1 - 7))). Let -3\/4*f**2 + 1\/4*f**4 + p*f + 1\/2 - 1\/4*f**3 = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2847*k + 2841*k + 16 + 3 to x + c*k and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 28. Determine y(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275\/15 + (-2)\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.597 + 0.153. Let q = 12 - j. Let g = q + 0.75. Sort 2, g, 3, 3\/2 in decreasing order.\nAnswer: 3, 2, 3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/5124 and -103\/22.\nAnswer: 56364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*u + 707 = -1047, u - 1766 = -3*l. Is l a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215700 and 720?\nAnswer: 2588400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k + 3. Suppose 10 + 40 = k*t. Solve -p - 1 = -d, p + t + 1 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23999441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/3*114\/(-152)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 196 = -6*n - j, -4*j = -2*n - 98. Let s = 54 + n. Solve k + 0*k = s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -2)\/(-15)*15. Suppose -r = -6*y + 13. Suppose -y*t + 94 = -110. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 568 divided by 77\nAnswer: 568\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -14, -5, -2 in increasing order.\nAnswer: -14, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18492*r**5 + 4551*r**4 + 73986*r**3 - 18204*r**2 - 72*r = 0. Calculate r.\nAnswer: -2, -6\/1541, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.430762l to millilitres.\nAnswer: 7430.762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**6\/660 + k**5\/165 + k**4\/132 - 10*k**2. Factor f(j).\nAnswer: 2*j*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -16 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -j - 3. Suppose -j*b + 64 = -b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-4*sqrt(294)*-5 - sqrt(294)))\/(3*(sqrt(363) + sqrt(363)*-4)*-1))**2.\nAnswer: 141512\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 + 4*u - 7. Let b(g) = 6*g**2 - 3*g + 6. Let p be ((-4)\/(-6))\/(4\/6) + 1. Let c be p\/6 + 464\/(-87). Calculate c*h(w) - 6*b(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6703 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {o: 1, y: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1717062 (base 8) to base 13\nAnswer: 14631b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 29*d**2 + 23*d + 141. Suppose x - 52 = 4*j, -33*j = 4*x - 32*j - 106. Determine b(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 + 9*d - 4. Let j(w) be the third derivative of -w**5\/60 - w**4\/24 + w**3\/6 + w**2. Determine 6*j(q) + z(q).\nAnswer: q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**5 + 3*z**4 + 5*z**2 + 3. Let f(l) = -9*l**5 - 7*l**4 - 11*l**2 - 7. Let r(b) = -6*f(b) - 14*n(b). What is the third derivative of r(x) wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -31339 and -39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111 - -10111000?\nAnswer: 1110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -3, 1, 9 in ascending order.\nAnswer: -3, 1, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 60824\nAnswer: 51\/30412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6177000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -308 + 303 + (-3 + 2 - -2) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -168 and -5.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = -2*k. Let h = -32 + 41. Let t(f) = 6*f - h*f - 13 + 12. What is t(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2666253, -5332657, -7999061?\nAnswer: -10665465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143283 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.75796 and 9.\nAnswer: 150.82164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/(4\/(-120)). Let v(x) = -7*x - 71. Let i be v(-11). Suppose 4*z = a + i. Solve 7*q = 3*q + z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (-1 + 2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11419785 and 900135?\nAnswer: 10845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -230936 and 0.3.\nAnswer: -230935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 8:21 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 20836*x**3 + 20833*x**3 - 2*x + 1 - 3*x**2 - 10*x to the form b + t*x**2 + j*x**3 + r*x and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 1, m: 2, b: 6, q: 3}. Give prob of sequence mm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 10087?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148584\/7 - -21226. Is -11425 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = v, -3*v - 340 = -5*g - 311. Let d(i) = i**2 - 4*i - 13. Give d(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f = 22*f + 27*f - 8 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 63*i - 131. Calculate c(-65).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199 + -292. Calculate the common denominator of (-42)\/(-168) - b\/4 and -29\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 - 15*w**2 - 10*w**2 + 288*w**3.\nAnswer: 288*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 3*i - 10*i**4 - i**4 - 2*i**3 + 9*i**4 + 2 in the form l*i**4 + p + u*i**3 + s*i + f*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45726571*c**3 + 101599354*c?\nAnswer: 274359426*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = o + 28 + 7, 93 = -3*o + d. Let l = o + 350\/11. Let z = 0 - 1. What is the closest to z in 3, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 38684 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*i = 369*i - 1638 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Suppose 0 = -3*x - 0*w + 2*w - 58, x = -d*w + 9. Let z = x + 22. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1)*(-15)\/(-6). Let i(f) = -4*f - 10. Let q be i(o). What is q rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*o - 3*p, -5*o + 2*p + 15 = -3*p. Is 5\/14 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 24)*0\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3)*4 + (sqrt(60)*-4)\/sqrt(12) + (0 + sqrt(180))**2 + 3 + sqrt(180) + -4 + -5 + 4.\nAnswer: 6*sqrt(5) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 13 = -3*l + 39 + 10, 4 - 19 = -3*l for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30576 * -0.097\nAnswer: -2965.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15338410829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -375, -381, -389, -399?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 6:00 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 5*w + 864. Let y = w - 423. What is y rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wuwuwuwwuuwuuwuuuww.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:18 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31848 divided by 7.\nAnswer: 31848\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -38501 + -0.066\nAnswer: -38501.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11521660 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 0.1, 2\/5, -28050?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(0 + sqrt(1008))*-5)**2 + ((-1*(sqrt(1008) + sqrt(1008)*-2) - (1*(1 + sqrt(1008)) - sqrt(1008))) + 2)**2 + 0.\nAnswer: 24*sqrt(7) + 10081009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703144958595 - 5*p - 703144958595.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18712 = -21*o + 9167 + 10112 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.2. Let g = f - -0.1. Which is the second smallest value? (a) -3\/2 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26631444 (base 9) to base 12\nAnswer: 449221a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3087376684 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + -0.8. Let r = -9779 + 9775. Which is the closest to -11? (a) r (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - o - 526 = 0, -3*h + 4*o = -831 + 293. Suppose -n - 174 = 2*s - 3*n, 2*s + h = -3*n. Let w = -34 - s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 216 and -852?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**5\/30 - 7*i**4\/4 - 33*i**2\/2 - 11*i + 4. Let o(f) be the first derivative of j(f). Let o(l) = 0. What is l?\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 103*j**2 - 295*j - 499. Let q be v(100). Let f(h) = -5*h**3 - 2*h**2 - 4*h. Let b(s) = s**2 + s + 1. Give q*f(p) + 2*b(p).\nAnswer: -5*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 106 - 2 = 3*z, 600 = 5*c - z. Let x = c + -73. Let j = 9 + x. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 23)*((-3)\/(-8))\/((-24)\/(-32)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24b8d + -19e?\nAnswer: -24d3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 9*a**2 - 9*a + 14. Let q be w(-10). Suppose -b = -q*b + 102. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/7 and 50\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99753.31 years to centuries.\nAnswer: 997.5331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 117, 134, 149, 162, 173?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(99) + (-4*(sqrt(99) + sqrt(99)*-1 + sqrt(99)) - sqrt(99)))*3)\/((-1*sqrt(81)*1)\/(2*sqrt(576))).\nAnswer: 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h - 2. Let u = -1 - -3. Let y(j) be the second derivative of 0 + 34*j + j**3 + 3\/2*j**2. Determine u*y(t) + 3*b(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401*b**3*m**3 - 2*b**3*m**2 - 46*b**2*m**3 - 55*b*m**3 + 132616*m**2 - 15 wrt m?\nAnswer: 2406*b**3 - 276*b**2 - 330*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 9561*l.\nAnswer: -l*(l + 28683)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z - z)*(-4 + 4 + 3).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2, 30, -6 in descending order.\nAnswer: 30, 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*d + 1. Is d greater than or equal to 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*-1 + sqrt(152) - (sqrt(266)\/sqrt(28) - sqrt(38)))*-2)\/(((sqrt(192)\/sqrt(4))\/sqrt(3))\/(sqrt(8) + sqrt(128)*-6))*6.\nAnswer: 690*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkkkbqbgkbkbkqbkkbkk. Give prob of sequence vg.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -3508.\nAnswer: 3\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 4. Let r be p(2). Let c = 8 + -13. What is the third biggest value in c, r, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 9 + 6\/(-3). Let d = k + -1. Is 38\/3 - d\/9 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16932 is divided by 4230.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/8*72\/6. Suppose -a*c = -10*c - 385. Let w = 110 - c. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 28*i - 5. Let j be b(-9). What is the closest to 0 in -44, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 d, and 1 j when four letters picked without replacement from {z: 5, t: 3, u: 1, j: 1, d: 8, q: 2}.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a. Let h be q(-1). Let w(l) = l**2 + h*l + l - 2*l**2 - 2*l. Let y be w(4). Solve -5*c + 3 = -y*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - v + 6. Let i be k(2). Suppose i = l - 2*n - 13, -56 = -5*l + 4*n + 15. What is the highest common divisor of 165 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, 1, 73\/8 in decreasing order.\nAnswer: 217, 73\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -569.3 times -0.4?\nAnswer: 227.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 140 = 4*i, 2*a - 4*a + i = -58. Suppose -3*z = 4*m - 37, -3*z + a = -0*z - 2*m. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -2 - (-42 + 46)) + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - v**2 - v**2 - 6 - 2*v**2 + 6 + 0*v + 0*v - v**2 - 3 + 3 - 2*v**2 + (-2*v + 6*v - 2*v)*(-v - 3*v + 3*v) - 12*v**2 + 5*v**2 - 3*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -0.023?\nAnswer: 0.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 26 + 1 + -4 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - g**2 + g. Let h be f(1). Let k(p) = -p**3 + 7*p + 6*p**2 - 4*p - 2*p + p**h + 3. Is k(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 6) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(121)\/(sqrt(44)\/sqrt(4))) + 4.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*t + 4 = 3*t, 0 = -3*f + 5*t + 32. Suppose 2*m = -0*m + f. Solve 5*i + 4*c + 7 = m*i, 2*i = 3*c + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:24 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 y when three letters picked without replacement from {w: 1, y: 6, f: 6, o: 3, e: 2, b: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 7. Let v(l) = -7*l + 8. Let z(p) = 4*s(p) + 3*v(p). Let u be z(2). Solve n - u*n = g, -2*n + 3*g - 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-22 - -16) - (-1 + (-8 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000102434928 to seven dps.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9700\/70 + 3\/7. Suppose 3*m = m - f + 71, 4*m - o = -f. Suppose -l + 3*l = 2, -4*l = 5*u - m. Let v(q) = q**3 - 5*q**2 - 4*q + 1. Determine v(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3dec0 - 14?\nAnswer: -3ded4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 21609978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094079573 rounded to four dps?\nAnswer: 0.0941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from {s: 1, h: 4, d: 1, j: 2, m: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 13*z**2 - 26*z - 1. Let q be k(6). Let y = 95 - q. Let m = 18 + -6. Solve y = -2*d - d - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53427 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 916715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-18))\/(8\/216*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2 - 127*a + 5. Calculate the remainder when 850 is divided by z(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.2, 1, 2\/563, -0.258, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - h - 16, -v = -5*h + h - 19. Let b be 5\/v + 21\/(-9). Does 38 divide ((-5 - b) + -174)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 3*l**2 + 2*l - 3. Let q(x) = -2*x**3 - 4*x**2 - 2*x + 4. Calculate 4*a(j) + 3*q(j).\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1449 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8668336 divided by -1083542.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2*m + 5*m)*(-m**4 - 2*m**4 + m**4) - 114 + 114 + 3*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134041 and 116801?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**5 - t**4 + t**2 - 1. Suppose -5*d + 2 + 18 = 0. Let o(s) = 2*s**2 + 2*s**d + 2*s**4 + 2 + 0*s**2 - 4*s**2. Let i(v) = 2*b(v) + o(v). Factor i(g).\nAnswer: -2*g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 t when four letters picked without replacement from {t: 3, s: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, -4013, -2 in descending order.\nAnswer: 5, -2, -27, -4013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 2*m**2 - 2*m + 2. Let z(i) be the first derivative of -i**4\/4 - i**3 - 3*i**2\/2 + 3*i + 83. Give -6*f(d) + 4*z(d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 18*h + 5265.\nAnswer: -3*(h - 39)*(h + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*g = 3 + 11, -2*s + g + 1 = 0. Let b = s - -2. Let v(i) = 2*i - 22. Calculate the lowest common multiple of v(15) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3 + -1)*1*-218. Let t = -977\/9 - r. Let f = 815 - 6589\/8. Find the common denominator of t and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z - 14. Let t(l) = -2*l**2 - 6*l + 4. Let n be t(-4). Let j be c(n). Solve 3*q + 2 = -5*h + q, 3*h - 5*q = -j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -m - 194, 4*m + 362 + 379 = 5*g. Let r = 182 + m. Solve 7*p - r*p = 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**6\/15 - 56*t**5\/25 - 98*t**4\/5 + 43. Factor q(y).\nAnswer: -2*y**3*(y + 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7312 - -1436?\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 293877 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208079076 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4525 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 2 o when four letters picked without replacement from xxxoxxxylxxyo?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:27 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -904*l + 2. Let x(y) = 161*y + 1. Give v(x(m)).\nAnswer: -145544*m - 902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-12))\/(8\/252). Suppose 0 = -r - r. What is the tens digit of (0 + r)\/2 + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120149447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 12. Let q = 0.035 + -0.035. Sort q, d, 3 in decreasing order.\nAnswer: 3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h - 2 = 2*n, 0 = 3*h - 3*n + 21. Let b = 8 + h. Let o(g) be the first derivative of -g**3\/3 + 2*g**2 + g - 28. What is o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 299?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 908, 929, 948, 965, 980, 993, 1004?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87.382882 - -23.38283. Let r = k - -64. What is r rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 7*p - 3. Let n be q(-6). Suppose 6*z = 9*z - 234. Let d = n - z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310264 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 8*r + 82200. What is r rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/105 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, 1 b, and 1 n when four letters picked without replacement from bfnyfbfxxffb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.00069 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528 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: Let q be 7 + 18\/12*2. Let l be 2\/q + 11\/10. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -431.972 - -431. What is u rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -133. Let u = z - -682\/9. What is the nearest to -1 in 0.3, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -ab7612?\nAnswer: -ab7617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*724.\nAnswer: 72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, m: 3}. Give prob of sequence pmp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -16*q**2 + 2*q + 9. Let d(r) = 26*r**2 - 3*r - 17. Calculate -10*a(j) - 6*d(j).\nAnswer: 4*j**2 - 2*j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - g**2\/2 + 2*g + 1. Let k be h(-7). What is the tens digit of (-103)\/(-4)*k\/(18\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5. Let h = 182 + -177. Let b be h - 4 - (q - 0). Solve -4*p = b*v - 2, -4*v + 9 = -v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (2 + 0 + -2). Let a = -43.4 - -43. What is the biggest value in a, y, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-1 - 2 + 4)*(-4*p + p - 4*p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -98434190.\nAnswer: 1\/98434190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 83360793.6 microseconds?\nAnswer: 0.000137832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/5850*-10*72.\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r - 272*r**2 - 8*r**2 - 38*r.\nAnswer: -280*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 739.4822 micrometers in kilometers?\nAnswer: 0.0000007394822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11009, -43906, -98735, -175496, -274189, -394814?\n\"Answer: -10966*g**2 + g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -19*k. Let b(w) be the third derivative of 0 + 5*w**2 + 5\/6*w**4 - 1\/3*w**3 - 5\/6*w**5 + k*w. Factor b(r).\nAnswer: -2*(5*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 9) + (0 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*w**4 + 14612*w**3 - 28*w - 45103.\nAnswer: -780*w**2 + 87672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -1 - (-472 - -525).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10. Let v = o - -5. Suppose -2*y + 2*h = 2*y - 96, -v*y = 5*h - 82. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131151 at least as big as 131151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-3 + 16 - 11) + (2 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15\/19, 0, -3\/19?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 15*u + 10. Let h be n(-8). Let j = 150 + h. What is the greatest common factor of j and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i - 3*c = -1, 7 = -4*i - 5*c. Let q(u) = -u**2 - 3. Let s = 97 + -92. Let l(n) = -n**2 - 4. Let h(g) = s*q(g) - 4*l(g). Give h(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fquuffufuvyj. What is prob of sequence qyf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 18 - 3. Let p(k) = 8*k + 31. Let j be p(-4). Put j, x, -2 in ascending order.\nAnswer: -2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 182. Let t be b(-26). Sort t, 9, 6 in descending order.\nAnswer: 9, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let j(i) = 22308*i**2. Give c(j(r)).\nAnswer: -22308*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 11327*u + 614607. What is l(54)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2670, -2, -4, 1, 76, 5 in increasing order.\nAnswer: -4, -2, 1, 5, 76, 2670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122708309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:07 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 17. Let u be t(10). What is the greatest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 123 = -4*f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.6, -0.25, -1\/5, 7635?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 6. Let w be d(-6). Let q = -28 + -4. Let t = q - -35. Solve w = -3*j - t, 0 = -3*i + 2*j - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*12\/(-756)*117\/169?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -3\/4, 2\/5, -269, -0.002?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3900)\/910 - (16\/(-7) - -2). Let q be ((-8)\/(-10))\/((-1)\/(-5)). Put q, l, 3 in decreasing order.\nAnswer: q, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/24 - 1\/(8\/(-27)). Suppose 340 = 37*w - a*w. Solve -w*q = -3*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.57723 centuries in years?\nAnswer: 8457.723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28.2 times 269\nAnswer: -7585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1157, -2320, -3505, -4724, -5989, -7312, -8705, -10180?\nAnswer: -11749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4, -2*d + 1 = -0*d + 3*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 111, 86, 61?\n\"Answer: -25*m + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-540))\/((-29)\/8)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 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: Find u, given that -u**3 + 71*u**2 - 206*u + 136 = 0.\nAnswer: 1, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330313 (base 4) to base 12.\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - -37. Let y = -52 + x. Let l = -35 + y. Solve 5*d - 2 - 4 = 3*a, 2 = -l*d - a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + (-57)\/(-6). Let w = r + -2. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 214392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-14 - 2) + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2795000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 - 0.23. What is the second smallest value in s, 1, -0.2, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5613 - 17075 - 1297 = -369*q for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10133 (base 9) in base 8?\nAnswer: 15020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 16*a**2 + 19*a + 33. Let y be w(-17). Let i(r) = 12*r**2 + r. Determine i(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-2*o**2 + 2*o**2 - 2*o**2) + 7*o**2 - 5*o**2 + 9*o**2 + (4 - o - 4)*(2*o + 2*o - 2*o) - o**2 + 0*o**2 + 0*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: e4d52 (base 15) to base 13\nAnswer: 1c5158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let l = 7 + -2. Which is the second smallest value? (a) 0.5 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -20, -16, -2, 22, 56?\n\"Answer: 5*s**2 - 21*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727910543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 48 = -11*n. Let j be 2\/6 + ((-152)\/n - -7). Which is the closest to 2\/7? (a) j (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + a + 54 = 0, -2*o - 2*o = a - 206. Let z = -40 + o. Solve -2*r - r = z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19572637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 + 61?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -123, -226, -353?\n\"Answer: -12*l**2 - 43*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 28 = 122*j - 118*j, -y - 8 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3504 + -172?\nAnswer: -3676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:54 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -522.647 - 26\nAnswer: -548.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -72. Let x be (7 + -4)*16\/(-12). Let i be (-1 - (-4 - -4))*x. Solve -4*d - r = 2*t - 0, -i*t - 23 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -943*f**4\/3 + 21*f**3\/2 - 3*f**2 + 106*f + 7. Find the second derivative of z(l) wrt l.\nAnswer: -7544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6735\/17 or -396?\nAnswer: -6735\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 517702 - 2*m + 518196 + (-3 - 1 + 3)*(-2 + 2 - 2*m) - m + 4*m + 0*m.\nAnswer: 2*m + 494","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:40 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36944426 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xauakuuaruxuarraa. Give prob of picking 1 a and 1 k.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1697 and 5862.\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 682 + -1460. What is w rounded to the nearest 10?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**3\/3 - l. Let q(z) = -12*z**2 + 2*z + 6. Let o(m) = -16*m**2 + 3*m + 5. Let c(n) = -2*o(n) + 3*q(n). What is c(k(g))?\nAnswer: -16*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68644831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1093467178 and 12230?\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -10. Suppose 3*l - l = 14. Let z = l - b. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-38)\/(-5))\/(3\/15). Let w = q - -4. Let n = w - -7. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.2, 7\/4, 5, -71, -0.13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/59, -0.27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 2*h + x, 4*x + 100 = -313*h + 301*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/13)*y**(2\/17)*(y*y*y*y*y**(-13)*y*y)\/y**(-8) assuming y is positive.\nAnswer: y**(298\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*n - 44, 3953*m = -5*n + 3952*m - 41 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 2. Let d be g(0). Let i be (-46)\/6*9\/(-15). Let b = -5 + i. What is the nearest to b in 2, d, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7))**(-2\/37)*(t\/(t*t\/t**(1\/10)))\/((t*((t**(5\/3)*t)\/t)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-20483\/7770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*342.4.\nAnswer: -34.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6783289 (base 10) to base 11.\nAnswer: -3913427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 8 + 10 - 2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 8\/247 (c) -2\/7 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -159541*p - 18506754. What is g(-116)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 7*u - 9. Let s be o(6). Let j = 1 - s. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5709909632 and 1246?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239165554, -239165553, -239165552, -239165551?\nAnswer: -239165550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 + 7\/(-2). Let n = -23020 - 8695. Is n\/(-25) - z - 6\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/(-12)*2214\/(-2952)*22\/231?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/304 + 3070\/8. Let f be ((-8)\/(-5))\/(4\/10). What is the units digit of c\/40*2\/f*20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026777 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 391\/17 + -2 + 19?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1726 divide 33183361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 2:53 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -665 in decreasing order.\nAnswer: 5, 1, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/110*(-5)\/(-1). Let k = 558 + -562. Let p = -0.6 - -1. Which is the smallest value? (a) p (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 8744*v + 4778596.\nAnswer: 4*(v + 1093)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 2511 + 691 = 0. List the prime factors of ((-524)\/(-5))\/((-13)\/m).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 75. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24061, -48120, -72179, -96238, -120297, -144356?\nAnswer: -168415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87426 is divided by 449.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*s - 10 = -80*s - 4*a, 3*s - 10*a + 24 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 91777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593841 is divided by 197568.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385350?\nAnswer: 2, 3, 5, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/70*7*(-25)\/(475\/(-57))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3997, 3996, 3995, 3994?\nAnswer: 3993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 2211?\nAnswer: 11055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51652 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = 184*c - 1659 - 1248 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 11086 = 64*v. Suppose 0 = -5*p - 0*p + 2*u + 421, 4*u = 5*p - 427. Calculate the remainder when v is divided by p.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141941 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 2*d + 1. Let v(a) = 48*a**3 + 24*a**2 - 40*a - 16. Let i(s) = -28*m(s) - 2*v(s). Factor i(r).\nAnswer: -4*(r + 1)*(3*r - 1)*(8*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3df29c (base 16) to base 4\nAnswer: -33133022130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h**2 + h. Let f be r(0). Suppose 0 = 8*c - 17*c + 36. Suppose -c = -k - f. 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 the third smallest value in -75, -66, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4986 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 36.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 9 + -6 + -6)*3. Solve 0 = -u*f + 5*v + 19, 3*f - 4*v + 3*v = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)*g)\/g**(1\/15))\/(g**(-2\/15)\/((g\/((g\/(g*g*g**(-4)))\/g))\/g)) assuming g is positive.\nAnswer: g**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4*5\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304670*d**2 + 23001311*d.\nAnswer: 609340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14)\/v*v*v\/v**6)\/(v**(-3\/17)\/v*(v*v**(-10)\/v)\/v) assuming v is positive.\nAnswer: v**(-116\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 104 = 4*v, -3*d - 7*v = -3*v - 75. Suppose d = k + m, 2*k + 4*m = 34 + 32. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -563, -1510, -3089, -5300, -8143, -11618?\n\"Answer: -316*i**2 + i - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -55985.162 times -8\nAnswer: 447881.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4) + 2943\/872 + (-11628)\/288.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021120110 (base 3) to base 2.\nAnswer: -1111110000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**7\/210 + 2*d**5\/15 - 8*d**3\/3 + 135*d**2. Factor w(c).\nAnswer: -(c - 2)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566361 is divided by 62528.\nAnswer: 3609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1237\/13 + (-14)\/91. Suppose -7*v = -2*v - d. Let c = v + 9. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 15. What is the smallest common multiple of 12 and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3185 and 63072555.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 25. Suppose -2*u = -4*u - x + 13, -3*u + 5*x = 13. Suppose 5*d + u*d = 441. Calculate the remainder when d is divided by a(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148641675 a multiple of 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -26949, -3, -2 in descending order.\nAnswer: -2, -3, -26949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43979164.\nAnswer: 2, 10994791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142331521451 + -2?\nAnswer: -142331521453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 792 + 2*k**2 + 757 - 305 in the form z + w*k + u*k**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t + 1634 = 113*t + 28*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 2. Let w be s(-2). Let t be 1\/(-5) + 5 + 102\/(-15). Let d be (-2)\/2 - (-4 + 3 + t). What is the closest to d in 3, 2\/19, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 18*s + 5. List the prime factors of m(-7).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1122\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 2*r - 6 = 55*l, 2*l - r - r = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, j: 2, g: 1, t: 1, x: 2, d: 7}. What is prob of sequence xx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21046826 is divided by 121.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84320624.\nAnswer: 2, 5270039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -552 times -0.4\nAnswer: 220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53335 divided by -12.\nAnswer: -53335\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001 + 2289 = 10*h. What are the prime factors of h?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-60) - 333\/(-555)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**3 - 4*w**2 + 6*w. Let s(o) = -5*o**2 + 7*o**3 - o**3 + 6*o + o. Suppose 7 = 2*g - 5. Give g*s(y) - 7*l(y).\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040713667 to five decimal places.\nAnswer: 0.00407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57275 - 26085. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a. Let b(i) = -i**2. Calculate g(b(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i. Let s(k) = 2*k**2 + 5*k - 44. Determine 3*j(z) + s(z).\nAnswer: -z**2 + 2*z - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*7)\/((-8)\/(-512)). Let f = -112 - i. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 1, z: 3, s: 2, x: 7}. Give prob of sequence smxx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16679825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 7*f + 861 = 5*h, -5*h = 4*f - 864. Suppose -l + 2*v + 83 = -89, l = 3*v + h. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 50*j**3 + 2*j**2 - 1. Let t be g(1). Let b = t - 50. Let m be b - (-4 + (-33)\/(-9) - -3). Which is greater: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39 - -25) + 11 + -2)*4\/190?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/96*-6*4. Solve 4*f = m - 5, -2*f - x*m - 15 = -5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**3\/6 - 8*f. Let n be (-1*1)\/(-1) - -1. Let i(u) = u**n + u - u. What is i(t(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469211789?\nAnswer: 469211789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4475599677 to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16707413.\nAnswer: 17, 982789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -7997?\nAnswer: 7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-45))\/2 + 194\/18 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -55. Let d be -5 - (-2 - -1) - 480\/f. Let v = d + 58. Solve -2*a = -2*b - 10, -2*b = 4*a - v - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3))\/(8\/24). Let j(k) be the second derivative of -3\/2*k**2 + 0 - 2*k - 1\/6*k**i + 0*k**3. Differentiate j(f) with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14352346 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 1663 + 274 + 431*t**2 - 146*t**2 - 950*t - 928 - 683 = 0. Calculate t.\nAnswer: -60, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2021\/(-172)*(-452)\/(-113)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4*i - 47 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1776 + 3395. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 times -10727.3\nAnswer: -729456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 738 - -4029. Let x(r) = 2*r**2 + d*r - 4767*r. Let f(u) = -u**2 + u. Let w(c) = 12*c**2 - 9*c. Let p(k) = -18*f(k) - 2*w(k). Give x(p(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**3 - 1. Let k(q) = -q**2 + 10*q - 9*q - q. Give w(k(x)).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -211395.6583 and -1.\nAnswer: 211395.6583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f + 6*f**2 - 3*f**2 - 2*f**2 + 6*f**2 wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 713631*w**2 - 222408*w + 5?\nAnswer: 1427262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -98039?\nAnswer: 1274507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-6 + 3\/((-12)\/(-8))). Suppose 5*d + f*r - 3 + 8 = 0, -r = -5. Let j = -42 + 40. Which is the biggest value? (a) d (b) -9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 6*u - 4. Let g be v(-6). Suppose -289*y + 353*y = 5120. Find the common denominator of -11\/32 and (388\/y - g) + -4.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/7, 4, -0.041 in increasing order.\nAnswer: -10\/7, -0.041, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 137\/10, 8\/3, -1\/9, -3\/5.\nAnswer: -3\/5, -1\/9, 8\/3, 3, 137\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -8. Let n be (-18)\/((-20)\/z + 1). Suppose -3*l = -3, -2*l + 43 = 2*x - n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:44 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.362458726 to 4 dps.\nAnswer: 0.3625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b - 62. Let u = 290 - 294. Let s be n(u). Solve 0 = -7*c + c - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 17. Let v be 11*-16*32\/b. Calculate the greatest common divisor of v and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 2. Let r(f) = f - 2. Suppose 5*c - 4*k - 1 = 1, -3*c + 14 = 4*k. Suppose 8*u = c*u - 18. What is u*r(l) - 2*z(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.288385 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277 + 278. What is the second biggest value in -5, 7, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15)\/(-2)*(-150)\/(-325)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, -77 in descending order.\nAnswer: 14, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 7*c**2 - 7*c. Let k(b) = -b**2 - b. Suppose -227 - 4 = 11*n. Determine n*k(t) + 3*z(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310230 + -1310?\nAnswer: 302320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12*w**3 + 2*w**2 + 4*w + 2. Let d be n(-2). Let l be d\/(-10) - (-14)\/(-35). Solve -4*s + l*s = -15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 + 1. Let r be (0 - 1)*(-2 + 3). Is a(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164*j**2 + 360 + 38*j**2 + 119 - 177*j**2 + 52 wrt j.\nAnswer: -606*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 2 + 3 - a**2)*(2*a**3 - a**3 - 5*a**3) - 15*a**5 + 9*a**5 - 3*a**4 + 10*a**5.\nAnswer: 8*a**5 - 3*a**4 + 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -9. Let t = j - 5. Let q = t - -7.44. What is q rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*b**2 + 7*b**2 - 2*b**2 - 11*b**3 - 23 - 19*b**2 + 20 to the form n*b + m + y*b**2 + l*b**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -12\/7, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.25, 1\/6, -0.1, -53\/2, 0.4, 4\/51, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3110 + -3110.1. Let f = 2 + -3. Put -7, f, 3, n in increasing order.\nAnswer: -7, f, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose t = -4*w + 11 + 5. Suppose w*f - 23 = 37. Solve 4*m - f = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i = 40*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 242018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8 + 18 - 46*g.\nAnswer: -46*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 125.7. Let w = 0.8 + s. What is the second biggest value in w, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -679, -1021, -1363?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1404264565?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkhknhhhtkthhhhn. What is prob of picking 2 t and 1 n?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.111*4\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 + -13 - -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(200) + 1 + 5)*-2.\nAnswer: -240*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 5*x = 5*t + 9, 0 = -5*x - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/13 + 72*h\/13 + 360\/13 = 0.\nAnswer: -30, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*p = 5 - 3, 4*d + 4 = 2*p. Suppose 22 = 4*l - l - 5*y, 4*l = 2*y + 20. Sort 0, l, d in decreasing order.\nAnswer: l, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36706014*r**3 + 18352983*r**3 + 18353033*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18635417 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrssrrsrrrrrs. What is prob of sequence sr?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 945969975 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 (base 12) in base 7?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -15, 0, -5 in descending order.\nAnswer: 13, 4, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 6*l**2 + 4*l - 1. Suppose -4*m + 23 = b, -2*m + b + 4 = -15. Let p = -12 + m. What is f(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 8. Suppose s = 4*q - 0. What are the prime factors of 14\/(-21)*(-9)\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6138429.5 to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4 - 0 - 5) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10169044 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.5, 3\/35, 74.87, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19920, -4, -5, -2, 23.\nAnswer: -19920, -5, -4, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1737 - -1737. Let x(m) be the second derivative of 0*m**2 + g*m**4 - 18*m + 10\/3*m**3 + 0 + 1\/5*m**5. Find the second derivative of x(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) -16 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 0.0618\nAnswer: 0.2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Solve -6 = k*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24\/43 - -2633\/172. Let f = z + -15. Let o = 16 - 18. Which is the second smallest value? (a) o (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 - g**4 + g**4 + (-3*g + g**3 + 3*g)*(2*g**2 - 4*g**2 + 0*g**2) + 4*g**2 - 2*g**5 - 4*g**2.\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -11 - 9. Let l(j) = 10*j - 11. Let o be l(z). Let g = o + -98. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0\/3 - -3. Let x(g) = -3*g**2 - g + 5. Let u be x(-2). What is the smallest value in j, -6\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449\/42*(-3)\/(9\/(-86)) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 3?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.85186 micrometers to meters.\nAnswer: 0.00007185186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -161, -158, -157, -158, -161?\n\"Answer: -l**2 + 6*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 356508 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2. Let c(m) = m - 1. Let k(p) be the second derivative of 8*p**3 - 2*p**2 + 2*p - 27. Let z(y) = -4*c(y) + k(y). Determine z(r(o)).\nAnswer: 88*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1365, 1366, 1367, 1368?\n\"Answer: c + 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 18.16. Let i = 3.84 - f. Let t = -5\/9 - -49\/72. Which is the second biggest value? (a) i (b) t (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 273*l**3 + 48*l**2 - 106*l - 117. Give r(3).\nAnswer: 7368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499481 to the power of 1\/2, to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -168? (a) -1\/3 (b) 2 (c) -1 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -122845*l**4 - 4422415*l**3 + 19164000*l**2 - 19655980*l + 800 = 0. Calculate l.\nAnswer: -40, 1\/24569, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 - 170*b**2\/3 - 187798*b\/3 + 178974718\/9.\nAnswer: 2*(b - 403)**2*(b + 551)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r - r)*(-4 + 4 - 2*r**2) + 2*r**3 - 11*r**3 - 13*r**3.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.387 - 11.858. Round v to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 greater than or equal to 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/((-57)\/(-21) - 3). Let b = v + 23. Let s = -16 - b. What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050960137?\nAnswer: 23, 1553, 29423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215.5 + -215. Let d = -61 + 58. Let z = -0.26 - -0.27. What is the second smallest value in 0.2, z, d, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.91 - -0.09. Let v = j - -1. Let r = v - 11.03. Which is the nearest to -1\/2? (a) r (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -205, -212, -227, -256, -305, -380, -487, -632?\n\"Answer: -s**3 + 2*s**2 - 6*s - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + s - 36 = 3*s, -3*s - 12 = 0. Let d(q) = 7*q + 2. Let y be d(f). Suppose -2*k - 6*h + y = -3*h, 0 = -5*k - h + 108. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20976 divided by 874\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120995 = 9*r + 8*r + 18*r. Put r, 2\/7, 4\/3 in decreasing order.\nAnswer: r, 4\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*s**2 + 2*s - 1354*s**2 - 38 - 32 - 2*s.\nAnswer: -6*s**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 7*z**6\/960 + 17*z**5\/120 + 23*z**4\/48 - 2*z**3\/3 - 121*z**2 + 262. Let h(i) be the second derivative of t(i). Factor h(b).\nAnswer: (b + 2)*(b + 8)*(7*b - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -582106\/11 or -52920?\nAnswer: -52920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 42*x**3 - 1. Suppose 1 + 10 = p + 5*w, -22 = -2*p + 4*w. Calculate the remainder when q(1) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(2\/5))\/z)\/z**(-4))**(-6\/11))**(-21) assuming z is positive.\nAnswer: z**(2268\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 10. What is the lowest common multiple of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2672995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 674 - 194 = 0. Let b(o) = 5*o**3 - 2*o**2 - 3*o + 2. Calculate the remainder when b(2) is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 8210426?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8091990 a multiple of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = -20*z + 1721. Differentiate -75 - 6*c - 2*c**2 + 38*c + 33*c - z with respect to c.\nAnswer: -4*c + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-177)\/(-3068)*(-3)\/((-36)\/16). What is the nearest to n in -1\/12, -1, 2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-1 - ((sqrt(11) + -1)**2 + 2).\nAnswer: -7*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/30 + 34*b**5\/15 - 65*b**4\/6 + 64*b**3\/3 + 825*b**2. What is h in n(h) = 0?\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -548, -2\/37 in decreasing order.\nAnswer: 1, 0.3, -2\/37, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 1, s: 2}. What is prob of picking 1 s and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*u - 8*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**7\/84 - s**6\/20 + 3*s**5\/8 - 17*s**4\/24 + s**3\/2 - 10*s - 23. Let o(w) be the first derivative of z(w). Factor o(x).\nAnswer: -x*(x - 1)**3*(x + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 + 9*m**2\/4 + 75*m + 72.\nAnswer: -3*(m - 12)*(m + 1)*(m + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1018.89 + 1024. Let j = r + -0.11. Let y(d) = d**3 + d**2 - 1. Let t be y(0). What is the nearest to 0 in t, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -41) + 25 - (18 - 2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -1 + 2. Let h = n + 6. Find the common denominator of 31\/2 and (-154)\/(-20) + 3\/h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 505. Suppose -4*c - i = c. Let d = 299 + c. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opy when three letters picked without replacement from ookoppyonooooookoop?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 - 3) + 11)\/(47 + -44). Suppose -1518 = -5*x - 3*v, -50*x = -47*x + s*v - 912. List the prime factors of x.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106437107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -109 (b) -4 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33297 (base 11) in base 5?\nAnswer: -3021024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.5 at least as big as -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*x + 10, -4*m - m = -3*x - 10. Solve 2*w - 5*q + 9 = 0, 2*q + 2 = -3*w - m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -150.484, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 - 1557*r - 64 + (-1 + 2 - 3)*(-20 + 9*r + 20) as l*r + h and give l.\nAnswer: -1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*v - 363*v + 11685 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/29, -1\/28, -4?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24350000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13806 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/7 + 13078*q\/7 + 3776064\/7 = 0?\nAnswer: -277, 6816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 b when four letters picked without replacement from xxxxxxxbxxxxbxx?\nAnswer: 44\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/24 and 15 + -14 - 131\/(-30).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109949?\nAnswer: 2109949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 47.38946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263\/1386 - 1\/126. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1314 divided by 657\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 325 - -3146?\nAnswer: 346b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/4 - 1067091*v**2\/4 - 94889733309*v\/4 + 94890800403\/4.\nAnswer: -3*(v - 1)*(v + 177849)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 4*(-3)\/(-6). Let k(y) = -y. Let q be k(-1). Calculate the greatest common factor of l and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q - 366. Let r = 373\/2 - q. Is r equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (4 - -2)\/1. Let i(h) = -12 - 12 - 31*h - 6 + 37. What are the prime factors of i(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.3167l in millilitres?\nAnswer: 146316.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 2. Let f = 481 + -478. Let b(v) = -3*v**3 - 3*v**3 - 1 + 3*v**3 + v - v**2 + 5*v**f. Determine b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 12*r + 18. Does 3 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -761 divided by 3.\nAnswer: -761\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 72478.\nAnswer: -2\/36239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-5) - 1533\/(-365). Let a = 9 - 3. What is the derivative of a*p**j - 12*p**3 + 3 + 11 - 6*p**3 wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -178785, -186983, -195191, -203415, -211661, -219935, -228243?\n\"Answer: -p**3 + p**2 - 8194*p - 170591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84 + 43 + 38*t + 44)*(-101 - 82 + 20) to g*t + r and give g.\nAnswer: -6194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 12 = -5*q + 2*c, 4*c - 6 = 2*q. Let f(g) = -3 + 4 + 1 - g + q. Calculate f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/7 - 181806*v**2\/7 + 599339130*v - 2883842481962\/7 = 0?\nAnswer: 709, 45097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (260*p - 505*p + 311*p)*(5*p**3 - 2*p**3 - p**3)*(-2*p + p - 3*p).\nAnswer: -528*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27394, 54760, 82126?\nAnswer: 109492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 + h + 1. Let a(w) = w**2. Let s(l) = -l**3 + 7*l**2 - 8*l + 18. Let n be s(6). Determine n*a(d) - v(d).\nAnswer: -d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -10. Let k(t) = -t**3 - 7*t**2 - 8*t + 3. Let h be k(-6). Solve 7*l - h = o*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 50 = -2*w, 34*w + 35*w + 0*w + 158 = 105*w - 4*a - 38 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1756704551 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -111*g**3 + 10*g**2 + 8*g + 33. Let x be o(-5). Suppose -5*j - 56597 = -4*l, -l - 4*j + x = j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (sqrt(153) - (sqrt(153)*-1 + -5)) + sqrt(153) - (-1 + (sqrt(153) + sqrt(153)*1)*1))*-3)**2.\nAnswer: 216*sqrt(17) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3701400 is divided by 947?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 + r - 2. Let y(x) = -x**3 + 4*x**2 - 320*x + 8. Let g(f) = -4*l(f) - y(f). What is the second derivative of g(z) wrt z?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -21*g**2. Let v(k) be the second derivative of -167*k**4\/6 - 32*k + 19. Give v(y(s)).\nAnswer: -147294*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 4*a - 4*a + (1 + 1 - 4)*(-17*a - 2*a - 7*a) + 2 - 2 - 2*a + (1 + 4 - 4)*(a - 2 + 2) in the form t + y*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.74 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2718 divided by -1359\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**6\/3 + 26*m**5 + m**3 - 18*m + 648. Find the third derivative of b(k) wrt k.\nAnswer: 120*k**2 + 3120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133242014 (base 6) to base 2\nAnswer: -1010001110011011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 10*n + 11. Let i be q(8). Suppose 10*u - i - 135 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*6\/75)\/(158\/1185)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3326 + 10354. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6, 1, -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/10)\/((-10)\/25). Suppose -n*d = 3*m - 5754, 0 = 3*d + 2*m + 3*m - 4310. Round d to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/187 and 55\/119.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 45*q - 48. Does 4 divide l(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93494*d**4 + 12*d**3 - 2*d**2 - 581887*d + 2.\nAnswer: 2243856*d + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/4 (c) -0.227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from nhhnnhgggnheh.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*sqrt(224))\/(1*sqrt(18)))**2.\nAnswer: -80*sqrt(7)\/3 + 2836\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Find the common denominator of 0 - (206\/m - 3) and 17\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 7\/2)*((-952)\/(-189))\/(-34).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1919 - -223. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 781.9731 millennia to years.\nAnswer: 781973.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(4\/15)*r))\/r)\/((r*r\/r**(-27))\/r)*r**43*r\/r**(-43) assuming r is positive.\nAnswer: r**(844\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b + 4*v, -5*v - 10 = 4*b - 30. Suppose 2*r - 5*r + 279 = b. Calculate the remainder when r is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3400)\/1275*(-15)\/560?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149224450 divided by 38810.\nAnswer: -3845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 6*h**3 - 5*h**3 + (2*h + 1 - 1)*(2*h**2 + 0 + 0) + (12*h - 11*h - 5 + h**2 + h**2)*(1 + h - 1) to u*h + g*h**2 + o + z*h**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/3))**(1\/4)\/(p**(1\/2))**4)\/((p**1\/(p**4\/p))\/(p**(-2\/27)*p*p**(-4))) assuming p is positive.\nAnswer: p**(-74\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 6. Give f(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -411\/4. Sort 2\/17, a, -3\/13, -3\/4.\nAnswer: -3\/4, -3\/13, 2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)*(5 + -2). What is the common denominator of -1\/4 and ((-1442)\/24)\/(-7) + o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/7 + 22*o**3 - 1965*o**2\/7 + 9150*o\/7 - 2000 = 0. What is o?\nAnswer: 10\/3, 5, 8, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26554*n - 51*n**2 - 26554*n + 106188*n - 26532*n + 39*n**2 - 26548*n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:33 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 - 4*n - 55. Let a(p) = 12*p**2 + 3*p + 53. Let f(v) = 4*a(v) + 3*d(v). What is the first derivative of f(h) wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000814078 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -3 (c) -0.1 (d) -0.127 (e) 73.7 (f) 1\/4 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8 (b) -2 (c) 5 (d) -1 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0 + 137*q - 1\/4*q**4 - 27\/2*q**3 + 0*q**2. Let s(p) = 0. What is p?\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.73 - -6. Let f = 6.23 + h. Round f to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 6*x - 50. Let z(l) = l**2 - l. Let m(h) = -i(h) + 5*z(h). Let n = 54 + -23. What is the remainder when m(8) is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -10 + (5 - 1) + (-4 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 944?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 48. Suppose -107 = b + 76. Let m = b + 279. What is the highest common divisor of m and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -196, -219, -242, -265?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 0.0631, -2\/5?\nAnswer: 0.0631","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5 + sqrt(68)*3 + 1 - (-1*1*sqrt(68) - ((sqrt(68) - (-4 + sqrt(68) + -1 + sqrt(68))) + sqrt(68)))))**2*-6.\nAnswer: -6534 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/458370 and -38\/993135.\nAnswer: 5958810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16 = -2*m, 8*m - 3*m - 16 = c. Suppose -4*h - 5*r + 25 = 0, -4*r + 25 = -m*h + r. Solve h*j - 6 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 10*h**2 + 11*h - 35. Let g be j(-8). Solve g*t = 3*k - 20, 23 = k + 3*k - 3*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.477 - -0.023. Which is the third biggest value? (a) -43 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 - 175. What is the third smallest value in l, -45, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*t = 188*t - 140 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 23 + -5 + 17 + -50.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 0, -3*d + 4 = -5*o + 20. Let n(r) = -23*r + 2. Let x be n(d). Suppose b = 4*b - x. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 149 = -3*x + 184, 0 = 4*x + 20. What is the remainder when 212 is divided by k?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/3)*l)\/l*l)**29\/(l**4*l**(-2\/9)))**15 assuming l is positive.\nAnswer: l**(1570\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 + 3.5. Sort -3, j, -0.041.\nAnswer: -3, j, -0.041","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2036 - 2039. What is the closest to -2\/3 in -0.08, a, 2\/7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/9)\/((-3)\/9). Suppose 0*d = i*d - 28. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjt. Give prob of picking 1 j and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 - 137. Suppose 9*h + k = 13*h. Find the second derivative of -3*t**h - 2*t**4 - 3*t + 2*t**2 + 3*t**4 - 3 + 7*t**4 wrt t.\nAnswer: 60*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 18 - 13*i**3 - 35 + 27.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7256 is divided by 70.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -891 + 891.1. Which is greater: 1.725 or i?\nAnswer: 1.725","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -479 + 479.5. Let n = 7 + -4. Which is the second biggest value? (a) y (b) -2 (c) 2\/15 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9613577189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 15*x**2 + 16*x + 15. Let q be w(-14). Let v(g) = 8*g**2 + 9. Is v(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(7) + sqrt(49)\/(sqrt(7) + sqrt(28)\/sqrt(4)) + sqrt(7) + sqrt(42)\/(sqrt(24)\/sqrt(4)) - (-4 + sqrt(7) + sqrt(28)\/sqrt(4)*5)))**2.\nAnswer: -20*sqrt(7) + 239\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9691.2 + -9769.7326. Let d = -88.23219 - a. Let p = d + 9.7. What is p rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 4 + 12 + 7 + 4*d**2 in the form o*d + q + m*d**2 and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 214896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 105, 100, 83, 48, -11, -100, -225?\n\"Answer: -j**3 + 2*j + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -223, -715, -1605, -3007, -5035, -7803?\n\"Answer: -19*u**3 - 28*u**2 + 9*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (57\/(-33))\/((-57120)\/(-833)) and 29\/3840.\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 3, i: 3, u: 4, q: 7}. Give prob of sequence irp.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -308\/5, -16?\nAnswer: -308\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.62 - 0.12. What is the second biggest value in 6, p, -5\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -36*u**3 - 24*u**2 + 24. Let a(o) = o**3 + o**2 - 1. Let r be (-2)\/(-4)*32\/16. Determine r*i(d) + 24*a(d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 17*h**2 + 69*h + 16. Give i(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41157, 82276, 123385, 164478, 205549, 246592, 287601?\nAnswer: 328570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -10*i**4 + i**2 + 83. Let m(y) = 2*y. What is v(m(p))?\nAnswer: -480*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 44*a**2 - 200*a - 124. Let w be h(-16). Let x(t) = 49*t**3 - 4*t**2 + 4. Let n(o) = -99*o**3 + 7*o**2 - 7. Determine w*n(c) + 7*x(c).\nAnswer: -53*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/20*(-2)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - -4*sqrt(99)*1)\/sqrt(9)*-4 + -2.\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 - 18 = 0. Let n be -3*(-1 + (-2)\/v). Suppose -n*r + 3*r + 12 = 0. What is the remainder when 34 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -24. Suppose -16 = c - b*c. Solve -2*w = -6, 2*z + 3*w - c = 7*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9050*t + 1 + 10*t**3 - 9050*t.\nAnswer: 10*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -44747309 and 1240.1.\nAnswer: -44746068.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 25. Let q(s) = -2*s - 15. Let y(o) = -3*f(o) - 5*q(o). Let z(a) be the third derivative of -a**4\/6 + 3*a**3\/2 - 19*a**2. Give z(y(k)).\nAnswer: 8*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 26, 58, 102?\n\"Answer: 6*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 804360957*c**2 - 197038956*c?\nAnswer: 1608721914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 l when three letters picked without replacement from {v: 3, l: 1, q: 1, u: 5, j: 1, x: 3}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a. Let p(c) = -10504523*c**2. Give v(p(f)).\nAnswer: -63027138*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s + 1361*s**2 - 18*s - 12*s - 14*s + 16*s.\nAnswer: 1361*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-15) + (-3)\/(-15). Let f be 4*((-1 - -2) + t). Suppose -f*b - 1 = -33. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1328889.66?\nAnswer: -398666.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*447\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1209173530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 60 - 5*j**2 + 3*j**2 + 119 + 172.\nAnswer: 4*j**2 + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/90)\/((48\/4)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 41192*b**2 - 114*b + 114. Let y(i) = 1791*i**2 - 5*i + 5. What is 5*s(z) - 114*y(z)?\nAnswer: 1786*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 14*o - 12*o + 3*o + o as v*o + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104022328 to the power of 1\/2, to the nearest integer?\nAnswer: 10199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103\/20 - -27\/5. Which is the nearest to -2\/3? (a) 3 (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**4 - 5*w**3 + 7*w**2 + w. Let g(q) = -q**5 + 5*q**3 - 6*q**2 - q. Let u(f) = 4*g(f) + 3*j(f). Solve u(v) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s = 36*s + 83*s - 2371808. What is the greatest common divisor of s and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 + 0 - 0. Suppose 2*d + 3*r + 38 = o, 5*d + 95 = 4*r + r. Let l = d + 20. Sort -4, -1, l in increasing order.\nAnswer: -4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 10. Let f be q(10). Round f to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -241*q + 417 + 76 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1066036 divided by 68.\nAnswer: 15677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -3\/149, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (7239\/508)\/((-6)\/(-2608))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -1 - 2. Let y(i) = 3*i**3 - 5*i**2 + 4*i + 1. Let m(s) = -17*s**3 + 26*s**2 - 20*s - 4. Let a(b) = 2*m(b) + 11*y(b). Determine a(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)*(1 + -3)\/(-86). Let i = 137\/172 - p. Factor 3\/4*c + 0 - 3\/2*c**3 + 0*c**2 + 0*c**4 + i*c**5.\nAnswer: 3*c*(c - 1)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 16*f**2 - f - 12. Let t be k(-16). Suppose -t*z = -9*z + 1590. Is 49 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(-4 + d + 4) + 3*d - 2*d - 4*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*v - 61*v - 52*v - 58*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -274301 divided by 180?\nAnswer: -274301\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1791776 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -48*f - 6. What is r(-9)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3040 + 232323?\nAnswer: 240413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1189 + 3566\/3. Sort 12\/13, 9, f.\nAnswer: f, 12\/13, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7670770?\nAnswer: 2, 5, 43, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34896.95l to millilitres.\nAnswer: 34896950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -6*r + 4*r. Suppose -2*w + 5*w - 144 = 0. Let y = r + w. Calculate the greatest common divisor of 88 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-13) - 2\/13. Let b(i) = c - 2*i + 0 + 7*i. Let f(h) = h**2. Give f(b(v)).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 2, s: 1, l: 1}. Give prob of picking 1 s, 1 r, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.076, -10417, -5?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2)\/(7 + -8). Let f(r) be the first derivative of 0*r + 0*r**2 + 1\/3*r**3 + k. Let w(c) = 2*c. Determine w(f(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 146 + -205 - -37\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292356 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-18)\/(-24)*2016\/648?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 25. Determine f(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4012 - 2473.3012. Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 - 3 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 30 = x, 2*m - 3*x - 2*x - 6 = 0. What is the smallest common multiple of m and ((-1)\/((-1)\/(-9)))\/(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 - -98. Let n = 20358 - 570117\/28. What is the common denominator of g\/(1 - 2) - 153\/(-272) and n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {j: 8, u: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 804237*o + 12*o**2 + 81*o**3 - 804237*o as p*o**2 + t*o + s + n*o**3 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 198*n + 197.\nAnswer: (n + 1)*(n + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*l = 3*m + 39, -l = m + 18. Let o be -1 + 1 - 195\/m. Let b(q) = -39 + 15*q + 48 - 22. Let z(u) = 7*u - 6. Determine o*z(j) - 6*b(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**6\/45 - 3*c**3 + c**2 + 33*c. Let r(o) be the second derivative of l(o). Let a(h) = -2*h. Calculate r(a(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i**3 + 710*i**2 - 48*i + 14. List the prime factors of p(-57).\nAnswer: 2, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286283 and 214915?\nAnswer: 75864995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxjxjjxjjjxxjjjxj. Give prob of picking 2 j and 1 x.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39*f - 345. Let r be h(-10). Suppose -60 = -3*l + l. What is the highest common divisor of r and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*w + 237, -3*z + 8*w - 4*w + 210 = 0. Let u(g) = -83*g - 221. What is the remainder when u(-8) is divided by z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*d + 5 = 0, -3*x - 29*d - 1 = -28*d. What is the nearest to 0.1 in 2, 2822, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(56)\/(-1*sqrt(8))) + (-1 + (sqrt(3) - (sqrt(3) + 1)) - ((sqrt(12) - sqrt(3)) + 4))**2)*4.\nAnswer: 44*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 515*k.\nAnswer: -515*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -637.7398560199 + -0.2600054801. Let m = 638 + c. Round m to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/3 - 410804*s**4\/3 + 5751439*s**3\/3 - 5340634*s**2\/3 = 0. Calculate s.\nAnswer: -410818, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 19, 32, 49, 70, 95?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + sqrt(11) + 0 - (sqrt(1100) + 2)))**2*2.\nAnswer: 360*sqrt(11) + 1982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - w**3 + 0*w**3)*(1 - 1 - 2*w**2) - w + w + 4*w**5 + (2*w**4 - 4*w**4 + 4*w**4)*(-9*w + 4*w - 23*w) + 4*w - 2*w**5 - 4*w.\nAnswer: -58*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12261 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34499725 divided by 17575?\nAnswer: -1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -179112.0947 and -5.\nAnswer: 895560.4735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357911?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -427724857 divided by -61103551\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 + 316091\nAnswer: 316092.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*-18*(-7)\/((-42)\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:21 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3 + 21. Let f = t + -6. Solve 5*m + 10 = 3*c, f = -0*m - 4*m + 3*c - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-88)*(-33)\/(-1584)*32.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.02, 293, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 7*g**2 + 11*g - 3. Let r be y(5). Solve r - 3 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 79699250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44298 is divided by 1477?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-354)\/(-826) + 26\/(-28) - 5\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -365405 - -222?\nAnswer: -365153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 184 = x - 3*s, 3*x + s - 102 = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3648) + sqrt(8208)*1)\/(-4*sqrt(48) - sqrt(27)\/(sqrt(9)*-1 - sqrt(9))))**2.\nAnswer: 30400\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(119) + sqrt(119)*-2 - sqrt(119) - sqrt(119)) - (sqrt(119) + (1*sqrt(119) - sqrt(119))*-1))\/(3*sqrt(28)\/sqrt(4) - (sqrt(343) - -2*sqrt(343))).\nAnswer: -4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 3*x**2 + 3*x + 7. Let v be w(-5). Let m = -6 + v. Let d be (2 + -1)*12*1. Calculate the greatest common factor of m and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -31*w + 47. Let b be g(5). Calculate the common denominator of 107\/54 and 48\/b*107\/(-16).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6720 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9307*d + 1028 - 9307*d - 1634*d**3 wrt d.\nAnswer: -4902*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 10*a + 20*c - 35, -73*c - 74*c = 3*a - 150*c + 24 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3439 + -24083\/7. Find the common denominator of (-79)\/(-5)*(-5)\/6 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588219, 588196, 588173, 588150?\nAnswer: 588127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**5\/20 - 17*q**4\/12 - 23*q**3\/6 - q**2\/2 - 1950*q. Calculate h(18).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**4 - 49*o**3 + 233*o**2 - 249*o + 39. Let w(p) = 9*p**4 + 48*p**3 - 234*p**2 + 247*p - 40. Let b(c) = 5*u(c) + 6*w(c). Let b(i) = 0. What is i?\nAnswer: -15, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -18, 4, 5, -2, -6, -4 in descending order.\nAnswer: 11, 5, 4, -2, -4, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 13*q - 2. Let w(u) = -8*u**2 + 2*u + 8. Let y(m) = 35*m**2 - 9*m - 36. Let b(h) = -18*w(h) - 4*y(h). What is b(r(g))?\nAnswer: 676*g**2 - 208*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 8*a**2 + 3*a**2 - 12*a**2 as f*a + m + s*a**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*l + 27 = 3*m, 5*m - 3*l = 84. Let q be (-6)\/m*10\/(-12). Which is the third biggest value? (a) q (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -1\/2*x**3 + 3*x + 0*x**4 + 0 + 0*x**5 + 0*x**2 + 1\/15*x**6. What is the second derivative of l(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -0.24, 161?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -167.1033 times 0.2\nAnswer: -33.42066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36573 by 12191.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454658218 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-78)\/(-26))\/((-25)\/(-3)). What is the third smallest value in 4, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let q be ((-8)\/2 - -7) + 37. Suppose -5*z + r + q = 6*r, 0 = -4*z + r + 7. Let b(y) = -y + y - z*y - y. What is b(c(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -7 - (0 + -1 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g + 1. Let i be s(1). List the prime factors of 12\/i*112\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/11, -0.19, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - -3.339. Let w = -8.0037 - -8.04. Let l = w - n. Round l to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -2*l - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6 - 2)*(4 + 3 - 4)*(-8 - 5*x + 8)*(-4*x + 0*x + 3*x) as v*x + g*x**2 + h and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 - -14 - (3 - 2)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 632081 < 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25299, -102185, -230657, -410715?\nAnswer: -642359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72736 at most -6980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + -34?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -q + 30. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2518 or 1923?\nAnswer: 1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i - 117. Let h(m) = -m**2 + 5*m + 114. Let t(b) = -7*h(b) - 6*p(b). Calculate the lowest common multiple of 22 and t(12).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360212744 by 4.\nAnswer: -90053186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3468?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, a: 2, j: 2, i: 4}. What is prob of picking 2 i and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 6 = 14*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 9*z**2 - 5*z + 10. What is b(9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnvnwvwncnnnnc. Give prob of sequence wv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 41. Let i be z(-19). Solve -5*q - 2 + 9 = -4*y, -2*y = -i*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yggg when four letters picked without replacement from {o: 2, g: 5, y: 9}.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.169126 and -0.054.\nAnswer: 0.009132804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 1. Let l be m(2). Suppose l*v - a - 167 = 0, 71 = 2*v + 2*a - a. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000079032 to 7 decimal places.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5623 - 86103. Round y to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.19 * 234913\nAnswer: -514459.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 2*u - 3. Let c be g(-1). Suppose -c*n = f - 37, n + 0*f = -5*f + 14. Solve -3*w - n = 0, -6 = 5*o - 3*w + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -1. Let o = -29\/2 + k. Suppose 1 = -3*i - 11. Which is the smallest value? (a) o (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(637)*-1)**2 + -4 + -6*sqrt(637)*-2*-1.\nAnswer: -84*sqrt(13) + 634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 673610443 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -55. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/3))**(-12\/11))**(-5\/7))**30 assuming i is positive.\nAnswer: i**(-1200\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.023 - -33. Let o = r + -6.177. Let z = 6.199953 + o. Round z to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2197*l**2*z**3 + 80*l**2 - 16*l*z**2 wrt z.\nAnswer: -13182*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11*r = -7*r - 544, 4*r + 387 = 3*k. What are the prime factors of k?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 15. Suppose -4*l - 3*c = 9 - 34, -39 = -5*l + 4*c. Suppose 12*p - l*p = 45. Solve h + w - p = 3*w, 8 = -4*h - n*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let z(i) be the second derivative of -6*i**4 - 8*i. Let y(p) = -36*p**2. Let h(t) = -5*y(t) + 3*z(t). Calculate x(h(v)).\nAnswer: 1296*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 20, -4, 5\/4.\nAnswer: -4, -1\/9, 5\/4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*2)\/(sqrt(288) + (2*sqrt(288) + sqrt(288) - sqrt(288))) - (sqrt(275)\/(sqrt(11) + sqrt(99)) - sqrt(25))\/(sqrt(60)\/sqrt(192)).\nAnswer: 61*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocrr when four letters picked without replacement from {g: 1, c: 2, n: 1, o: 2, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/((-68)\/(-145) - 4\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:35 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by -142\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -48. Let c = -17 + a. What is the greatest common divisor of 72 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**3 + 29*j**2 + 13*j - 2. What is u(-5)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 - 67. Suppose -4*c = -6*c + u. What is the remainder when c is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 8, -5, -81, 184, 1\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:05 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + 13 + -10 + 18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/2 - -37\/6. Suppose 5*v = 0, -7*v = z - 2*v + 51. Let o = 27 + z. Which is the third biggest value? (a) 4 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 3, p: 1, w: 1, z: 1, j: 3}. Give prob of sequence jju.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349438545?\nAnswer: 3, 5, 29, 37, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430982.41 take away 8?\nAnswer: -2430990.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-354679463.\nAnswer: -354679463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3 + 3*m + 21. Let x(p) = -2*p. Give x(j(q)).\nAnswer: -6*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490976?\nAnswer: 2, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 394*q**2 - 553*q + 62481. What is g(395)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*i - 5*l + 14, 0 = -3*l + 9. Let z(w) = 2*w + 33. Let y be z(-15). Let d = y + i. Solve d*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - 2*j + 22. Let y be s(5). Let w(i) = -6*i**2 + 84*i + 34. Is w(y) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.41 - 172.59. Let l = 179 + f. Put 5, 0.2, l in descending order.\nAnswer: l, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410801.35 rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (1 + 1))*1. Let y = 0.10324 - 0.00324. Which is the third biggest value? (a) 0.4 (b) 13 (c) y (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 23*i + 204000 = 0. What is i rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -80\/3 = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 16*a**2 - a - 16963 - a**2 + 16963.\nAnswer: 15*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 233410963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*y + 2, -3*y - 2*y + 10 = 0. Suppose -35 = -5*l - a*l. Suppose -210 = g - l*g + 2*q, -3*g - q = -150. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1805018067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -2*y - 3*y. Let a = y - -50\/3. Which is smaller: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14131 - 1?\nAnswer: 14130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.19188757 to three dps.\nAnswer: -7.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(3 + 1) + 8 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*c = 15, -5*o - 2*c - 145 = -139 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, l: 4, e: 5}. Give prob of picking 3 l and 1 c.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 126, -0.2, -0.02, -4 in ascending order.\nAnswer: -4, -0.2, -0.02, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/78 - (-14)\/(-273))*4\/(64\/76).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (70\/(-40))\/((-2)\/8). Suppose 3*w = f - 61, 4*f - w + 133 = g*f. Are 44 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -394. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.608, -58.6, 1\/3, 1\/6 in ascending order.\nAnswer: -58.6, -21.608, 1\/6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 170\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 5) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -674534.2 and -0.096.\nAnswer: -674534.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 134.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.052 - -5.948. Let m = o - -5. What is the nearest to -2 in -0.1, 2, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and (-10)\/(-6) + 10\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2. Let o(u) = 1750*u**2. Determine -1000*b(c) + o(c).\nAnswer: -250*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - y = 5*p - 75, -4*y - 3*p + 54414 - 54357 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057520473 to six decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.053\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 8. Let t = 5 + 0. Let x(p) = -p**2 + 4*p + 6. Let b be x(t). Calculate the highest common divisor of a and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(190)*-3*-4)\/(sqrt(30)\/(sqrt(9)\/sqrt(3)*-1)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0201 - -22.0201. What is the biggest value in -0.02, -2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -23. Let q = u + -138. Let z be 2 - (9\/6 - -2). Which is the biggest value? (a) q (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-28) - 3) + 1. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088342 is divided by 2077?\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 41 = -4*n - 3*m, -40 = -2*n + 4*m. Let l be (6\/(-3))\/(4\/(-42)). What is the greatest common divisor of l and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*n**3 - 465*n**3 - 478*n**3 + 1872*n**3 + 7*n - 429*n**3 - 6*n.\nAnswer: 56*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/455)\/((658\/(-196))\/47)?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9. What is the remainder when 25 is divided by (-9)\/(2*d\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 10:04 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -26*i**2 - 16. Let y(o) = 5*o**2 + 3. Let f = -7 + 10. Suppose -6*l = -l. Suppose 2*v + 8 - 40 = l. Give f*h(x) + v*y(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -81932.6?\nAnswer: -81932.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*f + 24 = 0. Suppose f*o - 1 = -3*b + 14, -36 = -4*o + 4*b. Let t(c) = -c - 4. Give t(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Suppose 3*q = 2*x - 4, 0 = -q + 5*x - y*x + 1. What is the units digit of (-4)\/(-8) - 19\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.23087 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -678 - -678.1. Suppose 134*g - 137*g = -3. Which is the second smallest value? (a) q (b) g (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, -2\/15, -8, 1\/2 in ascending order.\nAnswer: -8, -3.3, -2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484647 is divided by 603?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1727 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 103*j + 319. Let b be h(-7). Let m = 430 + b. What is the remainder when 90 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 0*n - 37*n + 37*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 1 - 8*n + 3*n)*(-2 + 5 + 2)*(-3*n + n + 4*n) as q + p*n + l*n**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*j - 5*j + 18 = 2*j, -38 = 2*y + 11*j - 3*j for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -8, -3195, -3 in ascending order.\nAnswer: -3195, -8, -4, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(5\/4))\/v**10)\/(v\/v**(-1\/4))**(-1\/11))**22 assuming v is positive.\nAnswer: v**(-223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j - 2. Let f(b) = 4*b**2 + 7*b - 7. Let r(a) = -2*f(a) + 7*u(a). Let w(i) = 2*i. Give w(r(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -8, -45, -110, -209?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 3\/82, -5\/2, -22, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90324351845\/13428 - 80718899\/12. Let y = 18\/373 + q. Find the common denominator of -1\/10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6, 4*o + 0*j = -4*j + 20. Find the third derivative of -99*k**o + 49*k**3 + 30*k**3 + k**3 wrt k.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 379052464*n + 17960096308058912.\nAnswer: 2*(n - 94763116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -688 + 687.6. Let q = -0.1 - -0.2. What is the third smallest value in q, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134314 (base 6) to base 7.\nAnswer: 51604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -1. Let o = i + -5.8. Round o to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5934350290.\nAnswer: 2, 5, 11, 23, 2345593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**2 + 8*g**2 - 22*g**2 + 5*g**2.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7462 - 1247656.\nAnswer: -1240194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 507061371 + 0.3.\nAnswer: 507061371.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 10*v - 1. Let y be n(-8). Let c = 24 - y. Let s = c - 13. Which is smaller: s or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101001110111 (base 2) to base 6\nAnswer: -51211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u - 3*l = 1053, 4*u - 3*l + 1369 = 0. Let z = u + 349. Solve -2*g = -6*a + z*a + 9, -2*a = -2*g - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j + 135 - 171 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163912.427 take away -6044?\nAnswer: 3169956.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z + 3960 = -0*z. Calculate the greatest common factor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51408871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.030096021 - 0.0301. What is l rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434225 (base 6) to base 2\nAnswer: 1000110001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7}. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 269 - -122. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 7 = 4*o - 19, o = -5*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157436 is divided by 706?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7396\/123011?\nAnswer: 7396\/123011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -408 + (-115780)\/(-280) + (-390)\/356*5\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 26 + 62. Let h be -158*109\/22 + (-4)\/k. Let j = h + -3157. Round j to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 659, 4, 62, -10 in decreasing order.\nAnswer: 659, 62, 4, -5, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206752 by -25844.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 7*o = -12*t + 555, -t - 233 = 2*o - 6*t + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263861*h**3*i - 2*h**2*i - 52*h**2 + 3*h*i + 54*h wrt h.\nAnswer: -1583166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -39.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtjjjnnccjjcwcjj. Give prob of picking 1 n and 2 w.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 99*h**2 + 2734*h - 80092. Calculate z(77).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from rprqrpiprpqqipxqxiio.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 122*s - 8665. Let i be r(71). Sort -7, -335, i, 0 in descending order.\nAnswer: 0, i, -7, -335","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 658 + -657. Let r(n) = 11*n**3 - 8*n**2 + 6*n - 6. Let a(s) = -s**3 + s**2 - s + 1. Give q*r(y) + 6*a(y).\nAnswer: 5*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46426088 - -46426067.518703. Let s = -20.48 - y. What is s rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:33 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 983 + 845 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 + 2155*u. Let o(c) = -5*c**2 + 2159*c. Determine 6*o(f) - 5*y(f).\nAnswer: -5*f**2 + 2179*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-2)\/(-5))\/((-44)\/(-165))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 849, -2\/7, -0.04, 4, -125\/36 in decreasing order.\nAnswer: 849, 4, -0.04, -2\/7, -125\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + -20. Let j = 39.99966 + f. What is j rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/12 + (-27)\/12 + 2. Let m be (u - 8 - -8)*11. Solve m*k = 48*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/13)*k)**(3\/17))**(-1\/7) assuming k is positive.\nAnswer: k**(-33\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 69*d**2 - d. Let q = 7 + -8. Let k be o(q). Let b = -34 + k. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1001843895, 1001843893, 1001843891, 1001843889?\n\"Answer: -2*b + 1001843897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - 0. What is the nearest to s in -4, -1, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89.6 and 20?\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -16, -5, 0.5, -2\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114440 (base 5) in base 13?\nAnswer: -1cb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.197331 years in decades?\nAnswer: 0.3197331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 314 + -485. Let h = -95.2 - g. Let a = -112.1 + h. Round a to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 188? (a) -1\/8 (b) 19.6 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w**3 + 89*w**2 - 36*w**2 + 1 - 3*w**3 + 19*w**4 - w - 53*w**2 to q*w**3 + s*w**4 + b + o*w**2 + k*w and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -42*(-11)\/((-154)\/(-12)). Let k(n) = 8*n**4 - 4*n**3 + 27*n**2 - 11*n - 2. Let a(o) = o**4 + o**2 + o - 1. Let h(f) = s*a(f) - 4*k(f). Factor h(p).\nAnswer: 4*(p - 1)**3*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -277 (c) -616\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 334*i**2 + 32*i**2 + 50*i**2 - 15*i**2. Let j(a) = 2*a. Calculate w(j(y)).\nAnswer: 1604*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -26. Let r = 27 - 12. Calculate the highest common factor of r and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 90983611, 181967221, 272950831, 363934441?\n\"Answer: 90983610*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -6 (c) -5 (d) -415 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17437 and 91133?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**6*x - 95230*d**3*x + 2*d**2*x - 123*d*x + 6722*d wrt d?\nAnswer: 360*d**3*x - 571380*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b + 110. Determine k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {i: 4, u: 3, a: 3, w: 1, t: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -483, -1136, -2053, -3234, -4679?\nAnswer: -6388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125 or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -12120222222112?\nAnswer: 12120222222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-6*7\/(-42)). Find w such that -3*w**2 - 108*w + 1 + 26 + i*w**2 - 132 = 0.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 * 0.062\nAnswer: -0.001116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*a + 0*a + 38*a = 22*a. Solve 3*h + 3*t = -2*h + 34, a = -5*t + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5586204, -11172408, -16758618, -22344834, -27931056, -33517284?\n\"Answer: -3*g**2 - 5586195*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*(1156\/51 - 23)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v - 2. Suppose 2*c - 3*c + 3*k - 10 = 0, 14 = -5*c + 3*k. Let y be f(c). Calculate the highest common factor of 75 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6, -20.2, 134.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4465 + -4470. Sort 0.2, u, 1\/3, 0.1, -3 in increasing order.\nAnswer: u, -3, 0.1, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (372 + (2 - -3))\/(2\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from wwwibbwywwwwmiwiwuww?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obdbtlobldbf. Give prob of sequence ll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2 (c) -0.1 (d) -26 (e) -4 (f) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52643 is divided by 52211?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(83\/332*1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 6. Let d be n(-11). Suppose -d*j = -v - 3*v + 2, -3*j - 3*v - 12 = 0. Let h = 3 + -2. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -144\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 42.5. Let q = 3 - 0.5. Let w = m - q. Sort w, 2, -2\/47 in decreasing order.\nAnswer: 2, -2\/47, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(4 + 2*x - 4) - x + 14*x + x - 1.\nAnswer: 12*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 4*l - 3 + 3 - 3*l + (-5*l - 2*l + 4*l)*(1 + 0 - 3) to the form k*l + z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 + 203. Put f, 9, 1\/5 in descending order.\nAnswer: 9, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0 + t**2 + 1\/2*t**3 + 0*t**4 - 1\/30*t**5 + 0*t. What is the derivative of s(h) wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 44 = l, -2*f + 133 = -3*l + 21. Let x = l + 17. Is -18 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132112729 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -314721\/2 - 1\/2*t**2 + 561*t = 0.\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - 2*sqrt(891))*3 - sqrt(891))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44984006 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.151*-0.3.\nAnswer: 0.0453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*c = 159*c - 636. Suppose -20*g = -25*g + 100. Solve 0*m + m = x + 2, g = -c*m - 3*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*f = -6, 0 = 2*k - 35*f + 32*f - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 196*g\/5 + 4802\/5.\nAnswer: 2*(g - 49)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.043, 1, -2, -319, 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.25 + 11.\nAnswer: 83.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 49133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 3. Let r be a(-7). Suppose d = 5*d - r. What is the greatest common divisor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 - 2 + 2)*(0 + x**2 + 0) + x**4 - 4*x**4 - 5*x**4 + 8 - 6*x**4 - 8 to z*x + k*x**2 + t*x**4 + b + h*x**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 6*i + 30. Suppose m = r + 3*m - i, 16 = r + 5*m. Calculate the greatest common divisor of 186 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16*-6*(-2)\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = 4*o. Which is the nearest to 2? (a) o (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (-91 - (-99 + 41))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 3*d - 160. Suppose -12 = -l - 12*v + d*v, l = -v + 6. Solve j - n = -l, 0 = 4*j + n - 12 + 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52797?\nAnswer: 3, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from hhhmlhhhhhmhlhhhwhh.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 24*p. Solve i + r - 11 = 6*i, 5*r - 5 = p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 112?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2.94 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -90. Suppose 0 = 2*b - 4*l - r, -3*b + 6*b - l - 96 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*n**5 + 48*n**4 + 2*n**3 - 12*n**2 + 2*n = 0. Calculate n.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 + 12*p - 4. Let o(i) = -6*i**2 - 11*i + 3. Let y(v) = -5*b(v) - 6*o(v). Calculate the least common multiple of y(-8) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38635 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: What is 5 - 10084665047669?\nAnswer: -10084665047664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 601 (c) -3\/5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t - 4. Determine v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(((-22)\/15)\/((-676)\/845)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*t = -5*c + 20, -t + 15 = -2*c. List the prime factors of 290\/4*(-4)\/c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**2*(f**(2\/7)\/f*f)\/f)**(-49)\/(f\/(f**(3\/5)*f)*(f\/f**(2\/13))\/f*f\/(f*f*f**(-2))*f\/(f**(1\/2)\/f)) assuming f is positive.\nAnswer: f**(-27527\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4\/11 (b) 1 (c) 3314 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3161*a + 5966*a**2 - 2745*a**2 - 4517*a - 958*a - 2*a**3 wrt a?\nAnswer: -12*a + 6442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 52*i = 50*i + 182, -1 = -i. Calculate the smallest common multiple of 36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, e: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/566538 and 7\/1504?\nAnswer: 9064608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*g**3 - 40 + 82*g - 20*g + 0*g**4 - 30*g + g**4 - 33*g in the form l*g**4 + i + z*g + k*g**3 + o*g**2 and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - c - 1. Let j(i) = 12*i**3 + 733*i**2 - 7*i - 5. Calculate j(l) - 5*t(l).\nAnswer: 2*l**3 + 733*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 5. Let m(d) = 5*d - 10. Let z(a) = -3*m(a) - 7*v(a). Does 16 divide z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.775573 kilometers?\nAnswer: 4775.573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -111*f - 17. What is the hundreds digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + i + 0*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 116401 divided by -1\nAnswer: -116401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 13 = -5. Let r(p) = -175*p**3 + p**2 + 5*p + 5. Is r(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*o**6 + 21*n*o**3 + 92*n*o**2 + 2*n*o - 2*o**6 wrt o?\nAnswer: 120*n*o**3 + 126*n - 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102212 (base 4) to base 2.\nAnswer: 10010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 932*b + 108578.\nAnswer: 2*(b + 233)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/1805)\/(300 - 304). Is -1 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68887550 + -68887499.000007. Let c = v - 51. What is c rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 41647630*o - 86726254230845.\nAnswer: -5*(o + 4164763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = 5*u, x + 5*u - 31 = 13. Suppose 9*z = 912 + 114. Calculate the greatest common factor of z and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*t - 33, p - 15 = -2*t - 3*t. Let i be (-1 - -4) + p\/(-40)*-8. Solve -i*s + 4*y + 9 = -7, 5*s = 2*y + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*k**2\/3 - 174604*k\/3 + 139696\/3.\nAnswer: -4*(k + 8731)*(5*k - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = -o. Let b(h) = -h**3 + 6*h**2 + h - 2. Let y be b(o). Let k(v) = 8*v - 1. What is the remainder when k(y) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.375 and 104.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04813024 rounded to 5 dps?\nAnswer: -0.04813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyy when three letters picked without replacement from wwkkwkyoykkk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.3, 2\/3, -23\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 88*r - 61. Let z = -496 - -466. Let n be i(z). Suppose 3*a - 13 + 1 = 0. Sort a, 11, n in increasing order.\nAnswer: n, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 10. Let y be o(7). Let g(q) = -q**3 - 2*q**2 + q - 1. Let z be g(y). Suppose -2*n - 1 = z*c - 7, 6 = 3*c + 2*n. Let d(v) = -v - 2. Give d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47*n**2 - 27*n**2 - 47*n**2)*(-n - 4 + 4) + 8*n**3 + 2 - 2 to u*n + g*n**3 + c + x*n**2 and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194088048, 388176095, 582264142, 776352189, 970440236?\nAnswer: 1164528283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1086.6486800215.\nAnswer: 1099.6486800215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 9. Let k = -19 + 11. Let s be t(k). Let n = 6 - 11. Sort -2, n, s in descending order.\nAnswer: s, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 1 - -3 - 0 - (-1704 - -1688).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-128))\/((-1377)\/864))\/((-60)\/(-2)).\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50 and 43\/5053.\nAnswer: 5053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**4 + 1\/50*n**5 - 1\/75*n**6 + 0*n**3 + 2*n + 0 + 0*n**2. Suppose b(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g + 38589 = -80617. Is g a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 1729.7676235.\nAnswer: 1729.9676235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -344?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 347763427, 695526856, 1043290285?\n\"Answer: 347763429*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1871374*n - 646114.\nAnswer: -1871374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 56 = 3*u. Let t(b) = -3*b - 19. What is the least common multiple of 9 and t(u)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 87*o - 3141. Determine c(-55).\nAnswer: -1381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -24?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 11*a - 7*b = 493293, a = -5*b + 98633. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 32*y = 12. Suppose 0*b = 4*b - 2*a - 4426, y*b - 4*a = 3312. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*z + 690410 + 2472608, -2*z = -3*k - 3163013. Let c = z + -4474514. Round c to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48114459 and 17820170.\nAnswer: 481144590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -265, -561, -985, -1543, -2241, -3085?\nAnswer: -4081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249123.\nAnswer: 3, 7, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251 is divided by 1037?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290513 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 33 - 3*b + 59)*(5*b + 1 - 1 + (-3 - 2 + 4)*(-6*b + 3*b + b)).\nAnswer: -21*b**2 - 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4306.2 + 3640.616. Let q = n + 665. What is q rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26953283 + 4?\nAnswer: -2695327a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -42*x**2. Let q(v) = -4335*v - 14382. Let w(a) = 114*a + 376. Let n(r) = 4*q(r) + 153*w(r). Calculate t(n(c)).\nAnswer: -436968*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27127 is divided by 544?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 0*r**3 - 2*r**3 + (6*r**2 - r**2 - 3*r**2)*(-3*r - 4*r + 5*r) + r**3 - r**3 - r**3)*(-51 + 93 - 5) - 2*r + 2*r - r**3.\nAnswer: -149*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:38 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*d**2*h**2 + 2*d**2 - 469*d*h + 361*d - 2571*h**2 - 799*h - 1 wrt d.\nAnswer: 60*d*h**2 + 4*d - 469*h + 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 2*u + 4*u)*(-u - 5 + 5) + (0 - 2*u + 0)*(-3*u + 4*u - 2*u) - 5*u**2 + 3*u**2 + 12*u**2 as z*u**2 + r*u + a and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v + 1645 + 2762 = 145*v - 534 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*p = -40, -2*p - 29 = -9*b + 8*b - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5670391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/3)\/(o*o**6*o))**(-2\/75))**(-28))**(-28) assuming o is positive.\nAnswer: o**(40768\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -602, -631, -708, -857, -1102, -1467?\n\"Answer: -4*z**3 - z - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -21, 13, -16, -6, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 30*w - 2. Let x be c(-30). List the prime factors of x + -4 + 5 + 574.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3343336998 to the nearest integer?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -168, -659, -1474, -2613?\n\"Answer: -162*o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*(a**(1\/6)\/a)\/a)\/a)*a**(-2))**40\/((a**(2\/3)\/a*a*a**(-4\/9)*a)\/(a**(-1\/4))**45) assuming a is positive.\nAnswer: a**(-689\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/2 + (3\/4)\/((-3)\/(-2328)). What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10679\/40 + 267. Let y(b) be the third derivative of -1\/8*b**4 - j*b**6 - 1\/10*b**5 - b**2 + 0*b**3 + 0*b + 0. Suppose y(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 249, 0.5, -2\/155?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*w + 1116, -w + 5*w - 1502 = 2*c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.7657 + -0.0637. What is b rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45213, 361856, 1221317, 2895006, 5654333, 9770708, 15515541, 23160242?\nAnswer: 32976221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 - 3424102.\nAnswer: -3424117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3008 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 196 = 17*t. Let i = 29 - t. Suppose i*d = 13*d + 48. Calculate the remainder when 44 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 7 - 3. Let d = 2 - -9. Suppose 4*j - 5*x = 8*j - 7, -5*j = 4*x - d. Solve 0 = f - j*f + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.16 + -18.16. Let m(y) = y**2 - 5*y. Let n be m(5). What is the nearest to n in -0.4, -1, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 41*s = -7380. Which is bigger: s or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 + 0*f**2)*(5 - 4 - 2*f + f**2 - 2).\nAnswer: -f**4 + 2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5\/4 (b) -2 (c) 44782 (d) -5 (e) -4\/9 (f) 0.5 (g) 4\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -731298716\/3 or -243766238?\nAnswer: -243766238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 2. Let s(d) = -4*d + 2. Determine 2*j(f) - 3*s(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 205837301 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 6, u: 1, t: 1, q: 4, c: 2}. Give prob of picking 1 t, 1 m, and 1 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4866874 by -61606.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.065*124347.9.\nAnswer: 8082.6135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 4*q - 3*q**2)*(-894*q - 2134*q + 442 + 692*q - 442) to the form i*q**3 + j*q + f + p*q**2 and give i.\nAnswer: 7008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.4 and -0.36.\nAnswer: -10.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51113.06 rounded to the nearest ten?\nAnswer: -51110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -79, -88, -97, -100, -91, -64, -13, 68?\n\"Answer: d**3 - 6*d**2 + 2*d - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 842 - 838. Sort f, -2, -4, 44 in descending order.\nAnswer: 44, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 83408*h\/7 + 869611808\/7.\nAnswer: 2*(h - 20852)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19385355, 19385356, 19385357, 19385358, 19385359, 19385360?\n\"Answer: u + 19385354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, v: 7}. What is prob of sequence vvj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 0.04\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201281\/26130 - -8\/2613. Calculate the common denominator of 27\/28 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 487.004826 - 487. What is d rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l**4 - 10*l**3 = 0.\nAnswer: 0, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.85701 months to decades.\nAnswer: 0.13214175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -199*a**2 + 49*a - 287. Is f(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l + 8. Let s be j(-6). Suppose -4*r - 2*m + s = 0, -2*r + 13 = -m - 19. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/5 + 18*a**2\/5 + 54*a\/5 + 54\/5 = 0. Calculate a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274 - -410. Calculate the least common multiple of 476 and b.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*h - 41*h - 44*h - 2 + 131*h.\nAnswer: 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z + 0*z - 2*z)*(3*z - 6*z + 4*z) - 35*z**2 + 2*z**2 + 5*z**2)*(-2*z + 6*z - 2*z).\nAnswer: -54*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 w when three letters picked without replacement from {w: 14, h: 1, d: 1, x: 2, z: 1}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 + 9204*n**2 - 9204*n**2.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 32 + 28. Let g be -1*(-1 + 2 - -1). What are the prime factors of w\/g + 6 + -6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2185*f**2 - 253*f - 515. Is 31 a factor of y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*i**3 + 2*i + 65*i**4 - 34*i**4 - 30*i**4 as p*i + x*i**2 + y*i**3 + z*i**4 + r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.7724 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14078 + -13286. Calculate the lowest common multiple of 36 and q.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {y: 1, d: 4, t: 4, b: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/7266 and -17\/132366?\nAnswer: 160295226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -187, 4, 0.1, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.3, -0.3, -170, 13, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -92, -389, -894, -1613, -2552, -3717?\n\"Answer: -s**3 - 98*s**2 + 4*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.97224 nanograms in micrograms?\nAnswer: 0.05497224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4865, 9925, 15275, 21059, 27421?\nAnswer: 34505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -1 + 25 + -24 + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 6*k**3 - 38*k**2 + 8*k + 24 = 0.\nAnswer: -2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 1:51 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, w: 4, y: 1}. Give prob of picking 4 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z**4 - 29*z**2 + 31*z + 7. Let h(v) = -13*v**4 + 19*v**2 - 21*v - 5. Let c(l) = 5*b(l) + 7*h(l). Let c(m) = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/9, 3.3, 1, -3.4, 0.07 in increasing order.\nAnswer: -3.4, 0.07, 2\/9, 1, 3.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60804 + 653*f**2 - 653*f**2 - 8*f**3.\nAnswer: -8*f**3 - 60804","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-4 - -3)*1). Suppose -f + m = -b, 6*b - 3*b = -5*f + 29. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 22 = 34 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7464 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)\/j)**(-2\/45))**(-36)\/((j*(j\/(j**(-2\/7)*j*j)*j)\/j)\/j*j**(1\/13)*(j**(-2\/3))**(-26)) assuming j is positive.\nAnswer: j**(-4870\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1321*x - 602*x - 650*x to p*x + u and give p.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22038007909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -17*x**4\/4 - 328*x**3 + 1119*x**2\/2 - 118*x - 1380. Find k, given that w(k) = 0.\nAnswer: -59, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/24 - 3*g**3\/2 + 2*g**2 - 163. Suppose 0*r + r = 0. Suppose -3*u + 2*u - 70 = -5*s, r = 2*s - 2*u - 36. Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-7)\/((-21)\/(-240)). What is the greatest common factor of p and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-6)*(-30)\/(-90)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -9. Let v be 33\/6 - q\/6. Suppose 4*z - 100 = -5*a, v*a - 3*a - 3*z - 60 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24823, 24826, 24829, 24832, 24835?\n\"Answer: 3*b + 24820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**6\/540 - 17*g**5\/270 + 5*g**4\/27 + 4*g**3\/3 - g**2 + 514. Solve n(q) = 0 for q.\nAnswer: -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 10*q + 2*q)*(q + 0*q + 0*q)*(2*q + 6*q - 4*q).\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40486962 and 0.3.\nAnswer: -12146088.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-3)\/(-2 - -3). Suppose 2*a + 4*w = -3*a + 2, g = 2*a + w - 2. Suppose -3*l - 2*f + 52 + 64 = 0, 0 = -a*l + 5*f + 52. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1278 - 907. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.1 - 1.6. Let b = w - 1.5. Let h = 6.99964 - b. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 688 and 105648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405981567.\nAnswer: 3, 45109063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1372 = 11*l + 3*l. Is 31 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7711*-64\nAnswer: -493504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 6*t - 5. Let o be u(4). Let k = 3 + 3. Does 13 divide k\/(o + (-42)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 28 = 3*m. Suppose 5*t = z + 73, 81 = 2*t + 3*t + 3*z. Let c = m + t. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64872)\/1752 + 18 + 19?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/764 and 85\/3056.\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = 31*f + 108 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 359*v - 8 = 358*v, 3*u + 4*v - 32 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11565, 11588, 11649, 11766, 11957?\nAnswer: 12240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = 14. Let w be (-1 - (0 + -1))\/p. Suppose 0*r + 2*r - 11 = -j, w = 4*j + r - 9. Solve 5*y - 2 = -g, 0 = g + 2*y + 2*y - j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2212300 - -5?\nAnswer: -2212262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 133*z - 559429 + 181522. What is the remainder when z is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4004 or 14587?\nAnswer: 14587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -783*c**3 - c**2 - 8*c + 3. Let n(k) = k - 2. Let r(j) = 3*n(j) + q(j). Let i be r(-1). Calculate the greatest common factor of i and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/816 and (-11174)\/2244 - (2 - 1)*-1*5?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) 3 (c) -2\/19721 (d) -38 (e) -4 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgn when four letters picked without replacement from rgggxxxxnn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -20800 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043298 take away 628238?\nAnswer: -628238.043298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**43*x**(3\/2)*x**(-20)*x*x assuming x is positive.\nAnswer: x**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-29)\/(-5) - 2) + (-1)\/(-5). Solve -a*l - 11 = -31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 272*n + 277*n + 50 = 0, s + 2*n = -19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 5*g**2 + g - 3. Let p be h(5). Let z be (-1639998)\/(-5) + p\/5. Suppose -f - z = 3*f. Round f to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42680 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 56209.225 to the nearest 10.\nAnswer: 56210","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -111947, -223942, -335987, -448082, -560227?\nAnswer: -672422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 86 + 10*c**2 + 14*c**2 - 101. What is the units digit of w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 238088 - 129197 = 0. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2810 and 50?\nAnswer: 14050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 560.0235927318 + 0.9763725682. Let q = 561 - b. What is q rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-1 - (-27)\/(-1)). What is the common denominator of 2\/(-24)*(-2136)\/(-32) and 153\/h - (-2)\/(-2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0)\/((-2)\/1). Let p be 1 + 2\/(s + -2). Let z = 699272 + -699272. Solve -q + p + 3 = z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + (sqrt(704) + (sqrt(704) + (sqrt(704) - (sqrt(704) - sqrt(704)*2)) - sqrt(704)))*-1))\/(1*sqrt(36)*5).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:59 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4 = -c, 29*c = 30*c + 4*w + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r**(-2\/3))**39\/((((r*r*r\/(r**(1\/7)*r))\/r)\/((r**7*r*r)\/r*r))\/(r**(-2\/3)\/r**(-5\/3))) assuming r is positive.\nAnswer: r**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/31, 1\/3, 0.\nAnswer: 0, 9\/31, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggnngnnnnnnnnnngn. What is prob of sequence ng?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-840)*9\/39\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3767, -7436, -11103, -14768, -18431, -22092?\n\"Answer: y**2 - 3672*y - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyzw. Give prob of sequence yy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (221 - 221 + h - 8*h**2 + h**3)*(-2*h - 4*h + 5*h)*(2 - 5 + 4) in the form b*h**2 + p + m*h + o*h**4 + t*h**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*(-15)\/(-135)*-9\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59265303.\nAnswer: 3, 19755101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115212, 230561, 345918, 461277, 576632, 691977, 807306?\nAnswer: 922613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*c**3\/5 - 124*c**2\/5 + 30*c + 72\/5.\nAnswer: 2*(c - 3)**2*(11*c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**18*f\/(f*f\/(f*f**(-3\/4)*f))*(f*(f*f**(-8))\/f)\/((f*((f\/(f**(-1)*f)*f)\/f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7579 - 60713\/8. Calculate the common denominator of m and 37\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7533245*v**3 + 8*v**2 + 469014.\nAnswer: -45199470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 - 7*o**3 + 2*o**3 - 4*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-40)*15\/1 and -19\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2 and ((-780)\/3424)\/(-13)*-4?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159742148 to the power of 1\/2, to the nearest integer?\nAnswer: 12639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + (sqrt(121) - -5*(sqrt(121) + 1*sqrt(121) - sqrt(121))))) + sqrt(121))\/sqrt(11).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1216 and 8512.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 215\/7. Is -1\/9 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009774 rounded to 5 dps?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/126)\/((-12)\/(-2723)). Let p = v + 104\/9. Factor -1\/4*m**2 + 0 - 3\/4*m**4 - 1\/4*m**5 - p*m**3 + 0*m.\nAnswer: -m**2*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 1 - (-2 - (-9 + 3 + 3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 19. Let x = 1 + -1. Let q(a) = a**3 + 8*a**2 + 8*a + 10. Let g be q(-7). Solve g*l - 22 = -3*h - 2*l, x = -l + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*q + 8, -q - 5 + 15 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/(-14))\/((-3)\/48). Which is the closest to -1\/3? (a) 2 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/18978078 and -76\/14911347.\nAnswer: 208758858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 4, t: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, 5322, -10\/7, 0 in descending order.\nAnswer: 5322, 2.7, 0, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 52\/(-28)) + -3. What is the closest to -1\/8 in 1\/6, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 652*o**4*x**2 + 240*o**4*x - o**2*x**2 - 2*o**2 + 72633*o*x**2 - 2*x**2 wrt o?\nAnswer: 15648*o*x**2 + 5760*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:18 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23032 - 33?\nAnswer: 22333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from vunulnunnlula?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404, -812, -1222, -1634, -2048, -2464?\nAnswer: -2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 26 + 29. Let t be (1 + q)*(-26)\/(-39). Solve z - 5*d = 5 - 31, -2*d + t = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -44. Let y be (4 - 4)*(-3)\/6 + -585. Let i = y - -689. Calculate the remainder when i is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 - 5*c**2\/2 - c + 3. Let x be a(5). Does 13 divide x*(-1 + -21 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160643 and 2968.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - -130. Let l = 186 - d. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 2*h, r - h - 4 = -1. What is g in 153*g**2 - 18*g + 8 - 2*g**r - 70*g**2 - 71*g**2 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/14 and -87\/2579354.\nAnswer: 18055478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4208 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 49705 + x**4 - 2*x**3 - 17*x**2 - 49705 in the form u*x**3 + m*x**4 + b + s*x + o*x**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -2)\/(-2 - -4). Let b(m) = -3*m**3 - 14*m**2 - 249. Let r(s) = s**3 + 5*s**2 + 83. Let o(c) = -4*b(c) - 11*r(c). Is o(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) + (-110)\/(-6). Let t be (-6)\/27 + 598\/j. Let o = -15 + t. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 - 3618*i - 3616 = 0.\nAnswer: -1808, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104961, 209917, 314873, 419829, 524785, 629741?\nAnswer: 734697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 9*o**2 - o + 9. Let k(y) = y**2 + 6*y + 9. Let u be k(-6). Let z be v(u). Find b such that 2\/11*b**3 + z + 2\/11*b**2 - 4\/11*b = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -181.32.\nAnswer: -1450.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 758785073 a multiple of 1538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -10. Let w be -2 + 1 + (-27)\/(-21). Let q = 37\/40 - 4\/5. What is the closest to -1 in q, r, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 6*b - 134 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 2*z)*(-z - 1 + 1) - 2*z**2 + 2*z**2 + 2*z**2 + (-3*z**2 - 2*z**2 - z**2)*(-1 + 0 - 1) + (103 + 401*z - 103)*(-2*z + z + 2*z).\nAnswer: 414*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, 1 m, and 1 x when four letters picked without replacement from {x: 1, b: 1, m: 1, a: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 12. Let n be i(-6). Let r be 2\/n - 40\/(-30). Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 4. Let z(t) = -t - 1. Let h be (6\/4 - 1)*4. Suppose 2 = -2*w + 12. Suppose -3 = w*r + h. Give r*o(f) - 4*z(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.997 + 0.003. Suppose 0 = -5*l + 2*l. Let i = 2\/41 + -51\/205. What is the closest to l in i, m, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**12\/w)\/w)\/w**(-3))**27 assuming w is positive.\nAnswer: w**351","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239838215?\nAnswer: 5, 73, 657091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192.84609 rounded to the nearest integer?\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 17 = -b. Let l(h) = -3*h. Let t(c) = c. What is b*l(z) + 4*t(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**12*x**(-12))**(-6\/11)\/(((x\/x**1)\/x)\/x**(-3)*x**1\/x*x**(2\/11)) assuming x is positive.\nAnswer: x**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -124723285 in ascending order.\nAnswer: -124723285, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*a + 2, 3*i = -i + 2*a - 8. Let z(s) = s - 4. Let h be z(2). What is the closest to i in h, 0.2, 2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 668*j - 325*j + 1762*j + 1912*j - 192*j to g + v*j and give v.\nAnswer: 3825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) -2\/7 (c) 171\/2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2663 * 0.5.\nAnswer: -1331.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11988070 and 1590?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 2787493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d = 128553 - 1304238. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 2 + sqrt(192) + 5 + -1 + sqrt(192)).\nAnswer: 40 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28208 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)\/((t*t**(6\/7)\/t*t)\/t*t))\/(t**(2\/3))**(-12\/11))**35 assuming t is positive.\nAnswer: t**(-820\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/5 - -1)*(-57925)\/(-4634).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*n = 5*u - 888, 5*u - 4530 = 2*n. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16665 and 684343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 623812 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5968*i**3 + 420*i*w - 2*w + 415825843 wrt i.\nAnswer: 17904*i**2 + 420*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -348855957.\nAnswer: -348855956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/7, -0.5, -133?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j - 7*j - 1 - 3 + 3*j. Calculate the remainder when 35 is divided by z(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, 3152\/37, -4\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*q - 276, -3*b - 414 = -3*q + b. Let u be 3\/(-15) - q\/10. Let d = 24 + u. Calculate the least common multiple of 3 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20*(20\/(-8) + 3). Suppose 2*h + 1 - k = 3*i, 5*i = 3*h - 16. What are the prime factors of (-215)\/(-10) + h\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**3 + 3*o**2 - 2*o - 5. Let c(s) = 5*s**3 + 2*s**2 - 2*s - 4. Suppose 0 = 3*u - r + 11, 0*u = 5*u - r + 17. Determine u*c(t) + 2*m(t).\nAnswer: -5*t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 1 - 1 - 23) + 16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-2) + 60\/(-40). Suppose -3*k = -2*t + 11, 8*t = v*t + 5*k + 35. Calculate the remainder when (78\/8)\/((-4)\/(-16)) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 2*r + 1. Let n be t(1). Solve 3 = -b, -3*h + 3*b = 2*h + n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*v = -4*v - 7, 4*l = 4*v + 16. Put -14, 3, 5, l in descending order.\nAnswer: 5, 3, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1 + 6*s**2 - 3 + 4*s - 7*s. Let h be x(4). Suppose 0 = 5*f - 6*f + h. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j + 21 = 0. Let i(a) = 6*a**2 - 7*a + 7 - 4*a**2 - j*a + 20*a. What is the remainder when i(-7) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (2 + 0 + sqrt(1377) - sqrt(1377)))*-1 + -1*(4 + 3 + 1*sqrt(1377)))**2.\nAnswer: 144*sqrt(17) + 1441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 5\/2 (b) 1\/3 (c) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17094333 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - 15) + 87 + -126?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 3*y + 5. Determine p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 138*y + 2228. Let o be l(19). Let h(k) = 3*k**2 - 3*k - 32 + 2*k - 2*k**2. Let z be h(0). Are z and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + -2. Let q = 62 + n. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 26*b**2 - 161*b + 1411. Determine r(11).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-4 - (0 + -1)) + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3932283390.\nAnswer: 2, 3, 5, 7, 18725159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 12:53 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/184 and (-1 - (-58)\/64)*972\/3312?\nAnswer: 2944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 17}. Give prob of sequence ve.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4966, -9876, -14686, -19396, -24006, -28516?\n\"Answer: 50*i**2 - 5060*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 16\/11*t + 2\/11 + 32\/11*t**2 = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44051 is divided by 8687.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106555 - 213097\/2. Factor -2*f**4 - 2*f**2 + 6*f - n*f**3 + 0.\nAnswer: -f*(f + 2)**2*(4*f - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -i - 2*i. Solve i = 3*g - 0*g + 4*h + 20, 5*g = h + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -30, -28, -26, -24, -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 31 - 68. Let i = 35 - t. Calculate the highest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4)*-1)\/(154512\/(-8584))\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*n + 14 = 0, -1509600*n - 12 = -1509603*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 13382.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12)*b)\/b**3*b**(-34)*b**(-8\/11)*b assuming b is positive.\nAnswer: b**(-525\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -36, 5 in descending order.\nAnswer: 5, 4, 2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from ntgttgtnt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7\/4, 3\/4, -1\/4, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17702003 and 8107?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2767241130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658452 is divided by 110562?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -17*d**7\/42 + d**4 - 16*d. What is the third derivative of m(l) wrt l?\nAnswer: -1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -472507 = -472551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -386 - -391. Solve 4*z - 5*z = -5*o, -a*o - z = 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11263 is divided by 756.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.36 in 0.4, 49213, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*r = 492*r + 987*r + 6416 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)*c**(-6))\/((c**7\/c)\/(((c\/((c**3\/c)\/c))\/c)\/c)))\/(((c*(c**(3\/7)\/c)\/c)\/(c*c**(-1\/8)))\/(c**(-2)*((c\/c**8)\/c)\/c)) assuming c is positive.\nAnswer: c**(-6539\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x**4\/5 - 1721*x**3\/5 - 4512*x**2\/5 - 2044*x\/5 - 256\/5 = 0. Calculate x.\nAnswer: -2, -2\/7, -1\/4, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(((-18)\/8)\/((-531)\/(-118))))\/(-622)?\nAnswer: 2\/311","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 1045 = -980 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/4 - 73767*s\/4 + 5680905\/2 = 0 for s.\nAnswer: 155, 24434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35330d (base 15) to base 3\nAnswer: -11210011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 5 = 0. Let f(x) = -x**2 + 16*x - 36. Let r be f(3). Solve -r*z = -y*c - 2 - 18, 2*z = -2*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 4828*d\/5 + 4829\/5.\nAnswer: -(d - 4829)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 1581.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s*t**4 - 2*s*t**3 + 2*s*t + 78*s + 69*t**3 wrt t.\nAnswer: -12*s*t**2 - 12*s*t + 414*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -24.5.\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**2 + 18*l + 6. Let j be b(-3). Let u = 89 - 26. What is the greatest common factor of u and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/20 + x**4\/4 + 5*x**3\/6 + 3*x**2\/2 + 2*x. Let f = -15 + 19. Calculate the remainder when 25 is divided by p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6426 and 217294.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 + 1523*v - 3060. Give c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 10, 24?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + q**2 + (-3 + 3 + 1)*(-2*q**2 + 6*q**2 + 5*q**2) - 2*q**2 + q**2 - 4*q**2 to m*q**2 + g*q + s and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 13) to base 16\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.312728698 to two decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 17*v**2 - 5*v + 20. Let r(n) = 4*n - 60. Let t be r(16). Is 34 a factor of y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9176252971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(121) - (4*sqrt(121) + sqrt(121) + sqrt(121))*3)\/(3*sqrt(275)) + 1.\nAnswer: -17*sqrt(11)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 819375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 - 4*u - 4. Let n(r) = r**3 - 8*r**2 - 2*r + 9. Let s be n(8). Let h(z) = -4*z**2 - 5*z - 5. Calculate s*c(a) + 6*h(a).\nAnswer: -3*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 10)\/(0 - -1). Let b be (4743\/36)\/17*(8 + q). What is the highest common divisor of 434 and b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -2\/289 (b) -0.5 (c) -49\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*3*1 + sqrt(84))\/(sqrt(12) + (-3*sqrt(108))\/sqrt(9)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5 - 10. Let c = 11 + z. What is the least common multiple of c and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 + 221. What are the prime factors of z?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -45.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**3 + 9*i**2 + 18. Let p(g) = 4*g**3 + 8*g**2 + g + 16. Let l(f) = 4*p(f) - 3*x(f). Determine l(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 4*i + 3*q - 24, 3*i + q - 18 = 0. Solve 0 = l - 5*s - 17, -i*l + 4*s + 2 - 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88779146?\nAnswer: 2, 47, 269, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*s**3 - 312*s**2 - 214*s - 36.\nAnswer: 2*(s - 18)*(3*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 779257.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 247.180685\nAnswer: 494.36137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -29 - 6*o + 6*o + 0*o + 6*o. Let q be w(6). Solve 6*s = q*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -4*z - 3*z. Let j(w) = -63*w. Let y(g) = 4*g. Let r(f) = z*y(f) + 4*j(f). Give r(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 24272.\nAnswer: 533984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 2*d**2 + 7*d**2. Let g(h) = 27*h + 132*h + 117*h - 261*h. Determine g(t(o)).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2744226)\/(-135) + (-7)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 e, and 1 o when four letters picked without replacement from wxoexxeewxwwxx?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s + 9. What is j(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4152)\/(-608)*4)\/((-6)\/(-4)). Let o = -14711\/836 + l. Calculate the common denominator of o and -17\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1074170 divided by 107417\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 14112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klk when three letters picked without replacement from klkkkkkklkkllkkkkk?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90684 = 78*q + 120*q. Is q >= 453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 2 b when four letters picked without replacement from {u: 4, m: 4, b: 2, f: 2, j: 2, w: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*j - 7 + 0*j**3 - 4*j**3 + 5*j**3 + 8 + 13*j + 352*j**2 in the form d*j**3 + u*j + r*j**2 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 68*d**2 - 149*d - 933. Give o(70).\nAnswer: -1563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24295, 24273, 24261, 24259, 24267?\nAnswer: 24285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 48. Let k(v) be the first derivative of -5*v**4\/2 - v**3\/3 - v**2 - v + 89. Determine k(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -3 + 22 - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -1\/4, 0.1, -22 in descending order.\nAnswer: 0.1, 0, -1\/4, -0.4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 389 + 191 = 105. Is c less than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38768 or 27151?\nAnswer: 27151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23783460 rounded to the nearest 10000?\nAnswer: 23780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {j: 2, e: 3, x: 1, u: 2, v: 3, f: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 3\/3*19. Suppose -30 = -3*s + q. Suppose 51 = 5*y + 2*n + 16, 2*y + 4*n = -2. Calculate the remainder when s is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -255, -902, -2177, -4290, -7451, -11870, -17757?\nAnswer: -25322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 + (-5)\/243))\/(51020\/(-61224))\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - a - 12. Let v be (-12)\/(-2) - 2 - -1. Let d be r(v). Factor -8 - d*n + 4*n**3 + 4*n**2 - 2*n**4 + 3*n**2 - n**2 + 0*n**2.\nAnswer: -2*(n - 2)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0\/(-2))*-13. Let j = l + 8. Let h(w) = w**2 - 11*w - 104. Let o be h(17). Which is the smallest value? (a) -3 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1. Suppose -70*c - 213 + 73 = 0. Let w(k) = -k**3 - 2*k + 1. Give c*v(h) + 2*w(h).\nAnswer: -2*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29143887.83 rounded to the nearest 1000?\nAnswer: -29144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -361707 greater than -361277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(486))\/((sqrt(128) - -1*sqrt(128)) + sqrt(128) + sqrt(128) - sqrt(16)\/sqrt(128)) + 0.\nAnswer: -144*sqrt(3)\/127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1515*-0.4\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*m - 485109 = -1917*m - 761*m - 3041*m for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*k - 40 + 1334*k + 51 - 11.\nAnswer: 1140*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = 3*z. Let l be z\/(-2)*1\/(1\/(-6)). Suppose -15 = 2*v + v. Sort l, 0, v.\nAnswer: v, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-7)*700\/(-6). Let k = w + -296. Let i be (-2 + 2)*(-2)\/4. Solve k*m + 20 + 0 = i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 178*h*i**3 - 234*h*i**2 - h*i + 6*i**3 + 100*i + 59 wrt h?\nAnswer: 178*i**3 - 234*i**2 - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*o + 59*o. Solve o*b = -4*b + w + 5, b - 4*w = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 121902*j - 1238341467.\nAnswer: -3*(j - 20317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 1030 + 4648. Let l = -315 - o. Suppose 3*g = t + 69, 3*g - 4*t - 59 = 10. What is the remainder when l is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000010312 (base 4) to base 7\nAnswer: -2142113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1707 - -250724.\nAnswer: 250723.8293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3 + 3625*k**2 + 2*k + 25249?\nAnswer: -6*k + 7250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - (2 + 0)) + -220 + 218?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8540\/(-122))\/((15\/(-2))\/(-3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*m + 6, 3*s - 186*m - 6 = -182*m. Suppose 9 = 11*q - 8*q. Sort s, 0, q, -2 in descending order.\nAnswer: q, s, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a - 7\/6*a**3 + 7*a**2 + 2\/15*a**5 + 0*a**4 - 12. Let x(d) be the second derivative of b(d). Differentiate x(c) wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n - 27*n + 39*n + 16 + 4*n**4 - 8*n**3 - 12*n**2.\nAnswer: 4*(n - 2)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 26*a + 285. Let l be k(-7). What is the third derivative of l*z**3 + 1160*z**2 - 2255*z**2 + z + 1155*z**2 wrt z?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111555607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + 3 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*p + 5 + 437*p - 5.\nAnswer: 279*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 842685 by 5.\nAnswer: 168537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1507, -1494, -1483, -1474, -1467, -1462?\n\"Answer: -t**2 + 16*t - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 338305 = -4*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2298 + 2309.104. Let s = 11.3 - c. Round s to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529812*i**2 - 274432*i**2 - 803054*i**2.\nAnswer: -1607298*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 r when three letters picked without replacement from rmcbrwn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105649 is divided by 1345?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16704 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: Let k be (3\/117)\/((21\/(-278))\/(-7)). Let z = k - 28\/13. Sort 10, 1, z, -4 in ascending order.\nAnswer: -4, z, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 836\/(-1463)*(1620\/16 + (-3)\/(-12)). Let y(t) = t**2 + 49*t - 520. What is y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -2269?\nAnswer: 2268.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.22339mg to nanograms.\nAnswer: 24223390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 921\/2 (b) 4 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 3, l: 3, v: 1, t: 2, g: 2}. Give prob of sequence gvt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8206*w**3 - 2*w + 21402 wrt w.\nAnswer: -24618*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*f - 6669 = -200*f + 85*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 15*l - 13. Let i be z(-14). Suppose -j + i = -7. Suppose 0 = -0*s - s + j. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.065 - 0.365. Let h(c) = 2 - 4*c**3 - c + 5*c**3 - 3. Let a be h(0). What is the third biggest value in a, y, -1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 + 38. Let h be (0 - 0 - 1)*50\/25. What is the least common multiple of -3 + (-5)\/(-2)*-5*h and f(0)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10820216 is divided by 24647?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12056566 (base 9) in base 4?\nAnswer: 112130121213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:07 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddfzfzffzfzfzfffz. What is prob of picking 2 f?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -23c79067?\nAnswer: 23c79068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01423791 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-234)\/4)\/((51\/18)\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3168 and 72?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-3)\/6 - (-1 + -6). Let t(b) = 2*b**2 - 10*b + 5. Let w(k) = k**2 + 2*k + 1. What is the remainder when t(a) is divided by w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 14, -1, -46, -133, -274?\n\"Answer: -2*q**3 + 3*q**2 + 8*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1446059 = 5*h - 4346065, -2900010 = -5*h + 5*n. Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216342*f + 3*f**3 - 1 + 216343*f - f**2 + 18*f**3 to t*f**2 + u + n*f + m*f**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -131, -240, -367, -518, -699, -916?\n\"Answer: -o**3 - 3*o**2 - 93*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314139728?\nAnswer: 2, 7, 47, 83, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874*d**3 - 393699 + 393699.\nAnswer: -874*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.63 + -3.37. Which is the fourth biggest value? (a) -1 (b) -4\/13 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 divided by 871?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 44408941 divided by 6\nAnswer: 44408941\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21430 + -11525?\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 + -24 + 14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 + 0.2. Let w = 313 - 312.6. Let g = -2481 - -2480.9. What is the closest to t in -0.5, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35.2, -1\/3, -2\/3, 44?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + 4*u**2 - 2*u - 2. Let i(k) = 2*k**3 - 6*k**2 + 3*k + 3. What is 2*i(r) + 3*y(r)?\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -27*k - 31. What is the tens digit of d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 18*t**5\/5 - t**4\/3 - t. Let d be z(-5). Round d to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -571, 2, 8, -36 in descending order.\nAnswer: 8, 2, -36, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 179 divided by -392\nAnswer: -179\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -35.7 (c) -16 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3*(-15)\/10. Let q be 14\/(-3) - (-6)\/9. Is q >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6100 - -8?\nAnswer: 6108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/12 + l**3\/6 + 13*l**2\/2 + 2*l. What is the units digit of m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**2 + 13*s + 12*s**2 + s**2 + 3*s**2 - 83. Is n(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10666593 to the nearest ten thousand.\nAnswer: -10670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/148 in 1, -1, 229, -7\/5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*t + 16, -7 = 2*s + 5*t - 6*t. Let b = 53 + -51. Put s, 5, -1, b in decreasing order.\nAnswer: 5, b, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6505860663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53714 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35727 + -17210. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16\/32*-7*(-6)\/84.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26340 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 166*0.29057\nAnswer: 48.23462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 - 717*o**2 + 39*o + 1445*o**2 - 729*o**2 to the form t*o**2 + w*o + c + y*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 450.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304488277?\nAnswer: 2399, 126923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7143 is divided by 397?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 524 divided by 131\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5*y**4\/4 - 4*y**3\/3 + 5*y**2\/2 + 4*y - 1851. Let i(m) = 16*m**3 - 11*m**2 + 14*m + 11. Give -4*i(c) + 11*u(c).\nAnswer: -9*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, 5*c + 6*n + 716 = 5*n. Let o be (-6)\/10 + c\/(-40). Solve -y - 1 = o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(2 + -3) - (-2395)\/(-420) and 86\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.769444 to three decimal places.\nAnswer: -0.769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1495 and 17940.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 - 18*u\/5 + 3.\nAnswer: 3*(u - 5)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 2*c + 10 = 0, -12 = 3*f - 2*c. Let q = -15 - 14. Let h = 31 + q. Sort f, -4, h.\nAnswer: -4, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 48612 = -27*b + 57*b. Which is bigger: 8101 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k - 1. Let z(o) = 5*o - 1. Let a(c) = -4*p(c) + 3*z(c). Give a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12795.361 rounded to the nearest one hundred?\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0132 - 2716.\nAnswer: -2716.0132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 7 + 9*z)*(12 - 3*z - 12) to the form m*z + h*z**2 + f and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*z - 12 = -80*z, 3*z - 14 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 - 131*w + 1. Determine l(-42).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*i + 1893 + 521 = 542. Which is greater: i or 189\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 21\/48 - 2. Let z be (-94)\/224 - (-12)\/42. Let a = b - z. What is the second smallest value in -3, -5, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3402*y**4 - 10204*y**3 - 13614*y**2 + 40816*y + 24 = 0.\nAnswer: -2, -1\/1701, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*l + 6*l = 1, -5*o = -l - 10. Solve -2*u = -5*u - o*j, -4*u + 5 = 3*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*n + 14 - 5, -n - 9 = -3*h. Let c be (h + -4)\/((-3)\/6). What is the highest common factor of 28 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-45) + (-2)\/(-5). Suppose -3*y + 2*f - 31 = 0, f = -2*y - y - 25. Let d = y + 14. Put o, d, -2\/3 in ascending order.\nAnswer: -2\/3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 12*w + 1. Let r be g(5). Suppose 0 = k - 6*k + 20. What is the highest common factor of r and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-83 - (59 + -142)) + (1 - 19)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2 - -2) + (-12 - -1))*-1. Let b be -1*4*(-6)\/8. Suppose -l*c = -b*c - 220. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16495 - 6578. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 0.5, -27, -135, 7, 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17601, -17758, -17913, -18066?\n\"Answer: j**2 - 160*j - 17442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27702.463 + 2.75?\nAnswer: -27699.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2 = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -9. Suppose 0*u - 977 = -2*u - 977. Let j be ((-3)\/18)\/((-8)\/(-6)). Which is the second smallest value? (a) u (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = 3*p, 3*p + 12 - 3 = 5*v. Let m(f) = f**2 - 4*f - 8. Let d be m(6). Solve v = -0*h - 4*h - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3154986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -23. Calculate the remainder when 19 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44403780 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128354.\nAnswer: 2, 29, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*y - 11*y**2 + 279*y as o*y + m + h*y**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051553 to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeq when three letters picked without replacement from {e: 14, q: 5}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 15 + 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 + 6*j**2 - 8*j - 6. Let r(z) be the second derivative of 7*z**5\/20 + 11*z**4\/12 - 5*z**3\/2 - 6*z**2 + 6*z + 101. What is 11*h(w) - 6*r(w)?\nAnswer: 2*w**3 + 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 778, 770, 760, 748?\n\"Answer: -h**2 - 5*h + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sashshs. What is prob of sequence shs?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*s - 2*s**3 - 331348*s**2 + 67*s.\nAnswer: -2*s**3 - 331348*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 34*x**3 + 22*x**3 + 13*x**3 + 5*x + 2. Let l be ((-4)\/(4\/5))\/(-1). Suppose 0 = 3*b + 3, -7*h - 11 = -3*h - l*b. What is n(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o**2 + 13*o**2 - 31*o**2 - 12*o**2. Let i(p) = 5*p. Let c(x) = -22*x. Let d(j) = -4*c(j) - 18*i(j). Calculate d(k(g)).\nAnswer: 94*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73882 (base 9) to base 12.\nAnswer: 24318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -3, -825, 7, 0, -56 in decreasing order.\nAnswer: 33, 7, 0, -3, -56, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, q: 6}. Give prob of sequence qkq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21\/20 - -9\/5. Suppose -m - 5 = 0, 0*s - 2*m = s + 6. Let t be s\/(-10) - (-2)\/(-20). Which is the third smallest value? (a) t (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-648)\/(-2835)*(21\/(-1))\/(-3)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305391 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.069 (b) 0.19 (c) 0 (d) -0.3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 29 (c) 6\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1009*m - 796*m - 532*m - 1278*m)*(m - 4*m - 3*m) to n + i*m + y*m**2 and give y.\nAnswer: 21690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/4))\/s**(-2\/11)*(s*(s*s\/(s**7\/s))\/s*s*s)\/s**(-2\/17) assuming s is positive.\nAnswer: s**(37\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 5*p**2 - 2*p + 3. Calculate l(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -89617 divided by 3\nAnswer: -89617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 11*v**2 + v - 8. Let p be u(11). Suppose -p*i + i = -8. Suppose 5*n - 155 = -0*n - 3*m, -i*n = -m - 141. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52311 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22607?\nAnswer: 13, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 7*v + 6. Let l be o(5). Let c(f) = -3*f. Let t be c(l). Calculate the greatest common divisor of t and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316 - -290. What is the nearest to -1\/4 in -5, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = 30. Let q = -1291\/3 + 431. What is the second biggest value in 1, p, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.577022 - 5\nAnswer: -2.422978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162131?\nAnswer: 197, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -98, -4, 0.1, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 870\/(-8) + (-2)\/8. Let x = d - -194. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 19) + 77\/14 - (-111)\/(-10)?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*y + 16, -j - 326*y = -328*y - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*p, 3*g - 7*p + 30 = -3*p. Which is the third biggest value? (a) -2 (b) -0.4 (c) -5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-147)\/(-30)) + 28\/(-280). Suppose 4*m - 16 = -0. Put 5, r, m in ascending order.\nAnswer: r, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/3 - w**3\/6 - w. Suppose 0 = 3*m - 2*m - s, -m + 5*s = 8. Suppose m*t + 4 = -2*t. What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 2*s - s. Let j(d) be the first derivative of 0*d - 1\/2*d**2 - 3. Give j(m(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let d = 7 - 3. Let q(n) = 21 - d*n + 0*n - 21. Give q(r(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 6*v - 7. Let k be 1*-1 + 3 + 1. Let p(z) be the third derivative of z**5\/60 - z**4\/4 + 2*z**3\/3 + 4*z**2. Let b be p(k). What is x(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:04 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133 - 77) + 1*(-17)\/(102\/(-96)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/((-2*sqrt(120))\/sqrt(10) - sqrt(12)))\/((sqrt(200) - (sqrt(200)*1 + sqrt(200) + sqrt(200)))*2).\nAnswer: sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 26 = -6*r. Suppose -i + 7 - 12 = -c, 0 = -r*c + 2*i + 22. Solve -3*a + 2*g + 24 - c = 0, 2*g = -3*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 9*x + 12. Let k be (16\/(-6))\/((-2)\/6). Let p be v(k). Suppose 0 = -p*i + 32 - 4. What is the least common multiple of i and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191855112.\nAnswer: 2, 3, 7993963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 19 = 5*u, -3*u = -2*d + 25. Suppose -3*k = 5*b - 24, -d*b + 18 = 2*k - 3. Solve -2*n + 5*x - k = 2*x, -n - 5 = 2*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2180\/(-15)*((-12)\/152)\/(412\/(-3914))\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = p + 36, -5*p = -2*w + 890 - 872 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39805 + -756297\/19. Let w = 0.2 - 0.6. Which is the nearest to 3? (a) w (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 16*z**2 - 11216*z - z**2 + 5*z**2 + 11218*z to the form k*z**2 + c + j*z and give c.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6) + 1)\/((-450)\/(-180)). Suppose -4*r - 14 = 3*m, 3*m + 1 = 3*r + 22. Factor -9\/5 + x*k + 12\/5*k**m.\nAnswer: 3*(k + 1)*(4*k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417647 is divided by 708822.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4. Let j = -0.1 - 0. Suppose 5*y + 20 = 5*r, 0 = -6*r + 10*r + 4*y. Which is the nearest to -1\/3? (a) j (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 677*t + 679. Let o be f(-1). Solve 0 = -o*s + 2*c + 33 - 41, 8 = -2*s - c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18 + 512190*f**2 - 512190*f**2 + 9*f**4 - 2*f**5 - 3*f wrt f?\nAnswer: -40*f**3 + 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -580 + 1132. Let s = m - 554. Which is the nearest to 1? (a) s (b) -0.4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6994\/15 - 465. What is the common denominator of m and 139\/306?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9313, 37341, 84051, 149443, 233517, 336273, 457711?\nAnswer: 597831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 19092396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87 - -2281?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 2\/2729, -3, -11, 2, 2\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose 3*r - 14 = -d. Solve -3*k + r*t - 7 = 0, -4*k = -5*t + 5 + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 5*r + 3. Let m be f(5). Let a = 0 + m. Suppose 1 = a*k - 2. Solve u + k = -2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 = -5*u, 5*u = -5*t - 3 - 17. Suppose m + 0*m - 7 = 3*n, -4*n - 8 = -m. Sort n, 4\/3, u.\nAnswer: n, u, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(95) + sqrt(95)*3))\/sqrt(5) + -5 + -1 + 5.\nAnswer: -1 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2608, -5211, -7814, -10417, -13020, -15623?\n\"Answer: -2603*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 632778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 99 = 5. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -11) + -1 + 1. Suppose u*h - 122 = -2*w + w, w + 126 = 4*h. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 397 - 196. Suppose 3*q - 2*q = 0, q + 1 = z. What is the common denominator of z\/(-1 - h\/(-210)) and 107\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b - 54. Let l be t(5). Is 1\/5 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/9 - 11486*d**2\/3 - 945214*d\/3 - 58199582\/9 = 0. Calculate d.\nAnswer: -41, 17311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29363455 is divided by 15528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130826 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)**(-18\/7))**(2\/37)*((c\/c**(-1\/5))**(-35))**20 assuming c is positive.\nAnswer: c**(-217596\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12906946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 + 40*i**3 + 173*i**2 + 51*i**3 - 173*i**2.\nAnswer: 81*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 21. Let z be r(-4). Let x be (z\/24)\/1 - (-6)\/(-48). Put x, -2\/7, -1\/7 in decreasing order.\nAnswer: x, -1\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -52, -2\/9, -1\/4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25247*m**3 + m + 3068*m**3 - m.\nAnswer: -22179*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(88\/(-33))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose -r + 2*p + 48 = 0, 5*r - 265 = w*p + p. Suppose 5*j = 3*j + r. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30013210330 (base 4) in base 6?\nAnswer: 152031124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-96))\/((-3)\/(-2)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 142567*l**2 - 5*l - 6. Let z be k(-1). Suppose 3*i - r = r + 85541, 5*i - r = z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 21*v**2 - 21*v + 20. Let h(a) = -a**3 + 4*a**2 - 3*a + 18. Let j be h(5). Determine g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 at most 58951\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n - 121*n - 51800 = 1236*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -13733 and -13609 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8708 (base 9) to base 3.\nAnswer: 22210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30052\/(-92205) - 2\/27?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9925952 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12756, -12432, -11888, -11124, -10140, -8936, -7512?\nAnswer: -5868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 53. Suppose -o - 5 = r + 8, -5*o - 58 = -b*r. Let l = o - -13. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2\/833969 (b) -0.5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3349\/8 - 418. Let x = 65 - 37. Find the common denominator of x and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-18 - (9 + -1 + -13))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 14. Let f(z) = -z + 5. Let s be f(n). Is 3\/((-1)\/17*s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 7*i - 7. Let o be d(2). Solve -o = 3*r - 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740229 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b + 30630 + 9753 = -551*b for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1079 and -41\/8.\nAnswer: 8632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -35. Suppose -2*u - 2 - 11 = i, -k = 4*i + 4*u. Sort -4, 4, i in decreasing order.\nAnswer: 4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**4\/12 + 11*b**2. Let y(z) = -z. Calculate 6*r(a) - 14*y(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 508.2 - 513.2. Which is the third biggest value? (a) -3\/16 (b) k (c) 3\/4 (d) 2\/3 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 + (2\/(-230))\/(381\/(-478155)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 41*c + 296. Let i(s) = -14*s - 98. Let n(z) = -8*i(z) - 3*l(z). What is the derivative of n(v) wrt v?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -3 - (-16 + 23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 26531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.408296 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4 - 24*b**3 - 50*b**2 + 132*b + 160 = 0.\nAnswer: -8, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:10 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l + 36 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 10:23 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -21. What is the derivative of t**2 + t - b*t - 105 - 4*t - 54 wrt t?\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/(-21) + (-624)\/(-14). Let m = g + -681\/28. Find the common denominator of -42\/11 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/23? (a) -0.4 (b) -0.3 (c) 1\/5 (d) 2 (e) -1.4 (f) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*310055\nAnswer: 155027.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**2 + 1. Let g be w(1). Let y = -11 + 11.2. Which is the closest to -3? (a) g (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -914, -1 in increasing order.\nAnswer: -914, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*h**4 + 63*h**4 - 3*h**2 - 20 + 3*h**2 wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/13? (a) -10 (b) 1\/9 (c) 1\/196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111715606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25450 and 8.\nAnswer: 101800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 132 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05639 and 149.\nAnswer: -8.40211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 0.11?\nAnswer: 41.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 88 + 484 = -2*u, 0 = -5*o - 3*u + 1406. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004763731 to 7 decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 5*f**2 - 7*f. Let l be v(4). Let u(b) = 2*b**2 + 15*b + 7. What is the remainder when u(l) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2451000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 80*k**2 - 2*k. Let f(a) = -4*a**2. What is v(f(o))?\nAnswer: 1280*o**4 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66246*v**3 - 66247*v**3 + 132492*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.2. Let v = 23493 - 23486. Sort -0.1, v, 4, x in descending order.\nAnswer: v, 4, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -3 (b) -0.04 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 1 + (3*sqrt(17) - sqrt(17))*-2)*-2)**2.\nAnswer: 56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*p**4 - 175424*p**3 + 7380156*p**2 + 1853260*p + 116000 = 0 for p.\nAnswer: -725, -1\/8, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -43?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-5 - -3) + -3 + -746). Suppose -18*z = 4*z - q. Calculate the greatest common factor of 34 and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -9)*3 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11395 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 4:25 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -30. Let j(t) = -t**2 + 10*t - 5. Let x be j(10). Sort i, -1, x in increasing order.\nAnswer: x, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:53 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, 2, 619\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 4*j. Let d(f) = 2*f**2 + 8*f. Let c(i) = -3*d(i) - 5*w(i). Let q be c(-4). Suppose -x + 7 + 1 = q. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 158\/40 + 477\/1590. Let t(c) be the first derivative of 0*c**2 - c - 22 - h*c**4 + 0*c**3. Differentiate t(k) wrt k.\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*s = -13, 5*s = -0*z - 3*z + 10. Solve 25 = z*l - 5*v, 5*l - 4*v + 2*v = 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from jjfjjfjfjfjfj?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5 (c) -134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-924)*-189*14\/(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 4569 - 8533 + 3952.\nAnswer: 2*b - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3320629 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22153 (base 6) to base 14\nAnswer: -11ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = -13*t + 56. Is t\/(1 - (-8854)\/(-8858)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11772.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i + 3*z - 2050, 2*i - 5*z - 789 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/20*2\/6)\/(108\/270)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 2*g + 5*g + (-g - 4*g + 6*g)*(-3 - 3 + 4) + (1 - 4 + 2)*(-1 - 2*g + 1) - 8 + 8 + 27*g - 2*g - 29 + 0*g - 12 to k*g + n and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + d - 64 = 279, 0 = 2*t + 3*d - 349. What is the remainder when t is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12891*r**4 - 10203*r wrt r?\nAnswer: -154692*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061294 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/38229, 48, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 522 + -519. Suppose -22 = 6*c - 4*c + 4*u, -d*u = 3*c + 18. What is the closest to c in -5, 1, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 20237 = 56*h. Let g = -273 + h. Calculate the highest common factor of 40 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)\/d*d)\/d)\/d)\/d**(1\/11) assuming d is positive.\nAnswer: d**(-34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-8)\/(-6 - -5). Let u be (-52)\/6*j\/2. Round u to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0, 30\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/5 + 202*h\/5 + 40 = 0.\nAnswer: -100, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563214 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 14*w**2 - 8*w - 2. Let a(d) = -7*d**2 + 5*d + 1. Let h(k) = -5*a(k) - 3*j(k). Is h(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 2*b - 1. Let m(n) = n**2 + 6*n + 9. Let y be m(-7). Suppose y = -4*z + 4. Let c be w(z). Solve 3*i = d - 12, 0 = c*i + 3*d - 1 + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35332 + -35292. What is the remainder when 16679 is divided by b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8\/3, 0.5, -2.7014?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*g + 7 - 15 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31644*27.\nAnswer: -854388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 211? (a) 684 (b) -0.07 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6\/5)\/((u*u\/(u*u**(3\/5)*u)*u)\/u) assuming u is positive.\nAnswer: u**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*k = 0, -2*k = -4*n - 0*k - 8. Put n, -8, -1 in ascending order.\nAnswer: -8, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**(-19))**31*(d*d*((d*d*d\/d**(-2\/3)*d*d*d)\/d)\/d*d)**(-16)\/(d**(1\/2))**(-9) assuming d is positive.\nAnswer: d**(-7777\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11 = 3*k + 10, 24 = 4*j - 4*k. Suppose 2*g = -3*g. Suppose r = 3*r - c - 10, -4*c - 8 = g. Sort j, -1, r in decreasing order.\nAnswer: r, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**7\/840 + a**6\/60 + a**5\/120 - a**4\/8 + a**3\/3 + 4*a**2 + 35. Let f(u) be the third derivative of x(u). What is f(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -738 - -738.0000563. Round d to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9479911 + -10.54798914. Let x = h - -5.6. Round x to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - 14*w - 1. Let o be i(5). Let m = -29 + o. Suppose -h = -4*p - 8, 5*p = -5*h + 5 + 10. What is the second smallest value in m, -3, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2, 0, -48 in increasing order.\nAnswer: -48, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*6\/10 - -54?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/50 - 29*j**4\/30 + 28*j**3\/15 + 483*j. What is i in l(i) = 0?\nAnswer: 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100129.95 rounded to the nearest one thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 170953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37680 > 37679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(-5*n**2 + 0*n**2 + 2*n**2) - 1 + 1 - 3*n**2 - 7*n**2 - 3*n**2 + 0*n**2 + (2*n + 0*n - 3*n)*(-n + n - 2*n).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 2*o + 75. Calculate i(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/36 - 34\/(-12). Find the first derivative of 8 + 12*j**4 + 2*j**3 - k*j**3 + j**3 wrt j.\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 16}. Give prob of picking 3 m.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5090*k - 14 = -5091*k + g, -2*k = 11*g + 206 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/20 - 5*q**4\/6 + q**3\/6 - 2*q**2 + 5*q. Calculate the least common multiple of w(10) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48319, -48317, -48315, -48313, -48311, -48309?\n\"Answer: 2*t - 48321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1438 * 3.6\nAnswer: 5176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)*b)**43)**13 assuming b is positive.\nAnswer: b**(1677\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from {k: 3, p: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 4*u. Suppose 0 = -2*s + 3*a + 9, -u*s - 2*a + 6 = -18. Solve -c = i + 2*i - s, -11 = -3*c - i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**(-33)\/(u**(-7)\/(u\/(u**9*u))))**(2\/67) assuming u is positive.\nAnswer: u**(-41\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2. Let i(g) = -g - 4. Let q(u) = 3*i(u) + 6*y(u). Let l(d) = 7*d. Give q(l(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009373 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/27)\/((-43)\/((-3741)\/(-58)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -53. What is the least common multiple of 10 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-5) - 1239\/(-770) and 81\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45\/22 + 5311\/2618. Let x = m - -264\/1547. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 9, o: 6, s: 2, v: 1}. What is prob of sequence ost?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616\/15 - -5*(-8)\/100.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81049370*p**3 - 8609702*p**2 + 5 wrt p?\nAnswer: 486296220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.029 - 0.171. Let h = 780\/7 - 112. What is the nearest to 7 in -0.5, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 56*u**3 + 2*u. Let n(h) = -h**2 - 9*h + 12. Let z be n(-10). Let f be x(z). Let w = 4991\/11 - f. Find the common denominator of w and 1\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -96. Let f = 49 - i. Calculate the remainder when 58 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 w when three letters picked without replacement from {r: 2, w: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823473*k**2 - 74695*k**2 - 272334*k**2 + 159607*k**2.\nAnswer: -1010895*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2216.58 - -168022.58. Let w = 165792.00006 - s. Let i = 14 + w. What is i rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:33 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:58 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (4*(sqrt(80) + 0))**2 + (sqrt(80) - ((2 + sqrt(80) - sqrt(80))*-4 - sqrt(80))) + -3 + sqrt(80)*-3 + 0.\nAnswer: -4*sqrt(5) + 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 - 3*o**2 + 2*o + 1. Calculate l(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 63*k + 52. Suppose -2*t - 74 = -3*c, 5*c - 5*t = 7*c - 81. What is the hundreds digit of j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000022 (base 3) to base 6.\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from zmzizsisqiismqbsmss?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/7 - 206*h**4 - 11616*h**3\/7 - 34928*h**2\/7 - 46624*h\/7 - 23328\/7.\nAnswer: 2*(h - 729)*(h + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42108, 84164, 126154, 168066, 209888, 251608, 293214?\nAnswer: 334694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z. Let j(q) = -q**2 - 2*q + 2. Let w be j(-2). Let g(v) = 4*v**w + 3*v - 3*v - 3*v**2. Give g(m(a)).\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-40) - (4 + (-38)\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 8*f - 3*q = 4023, -3*f = -q - 2012. List the prime factors of f.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/10*(-520)\/(-1456).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*696 - (-4 + 11). Suppose 8*z - 2673 = -m. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z - 2*z = -528. Calculate the remainder when 789 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48709*u - 8127?\nAnswer: 48709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/180971 and -26\/204043?\nAnswer: 51214793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10101100010110101110 (base 2) to base 16\nAnswer: ac5ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9175674, -9175664, -9175640, -9175596, -9175526, -9175424?\nAnswer: -9175284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46875402419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(-6)\/(-24)*(-8)\/10. Suppose -1 = s*c - 7. Suppose 0*z = c*z + 15. Let n(v) = -v**3 - 3*v**2 + 8*v + 4. Give n(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1922 or -1921?\nAnswer: -1922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242605452 and 456.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/5 - (-7)\/(385\/22). Solve -3*u - 3*q = 2*q + 3, -2*u = q + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - (-143 - -92))\/74\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -501 - -493. Which is the nearest to m? (a) 4 (b) 0.1 (c) -1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (1 - (10 + (-1 - 13))) + (4 - -1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 15. Let m = i - 19. Let r(o) = -o**2 - 7*o - 4. Calculate r(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/5 + 459*u - 225776\/5 = 0. Calculate u.\nAnswer: 103, 2192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -11, -4, 0, 2, 3444 in descending order.\nAnswer: 3444, 3, 2, 0, -4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 - 3885936*b**2 + 3*b**3 - 4692824*b**2 - 299968*b**2.\nAnswer: -6*b**3 - 8878728*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.003? (a) 0.09 (b) -1\/27 (c) -0.09 (d) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0 + (-3 + 0 + 4)*(1 - 7 - 1))*(249*l + 564*l + 922*l + 1354*l - 826*l) as z + j*l and give j.\nAnswer: -20367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11959.\nAnswer: 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6*t + 6083 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 684672895 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 16 = 5*s. Is s smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88677 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 5, -8, -3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -111*x. Let t be b(-6). Let w = t - 13949\/21. Find the common denominator of 5\/21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33.54 (b) -0.5 (c) 2\/11433 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/7, -30, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11747711*s**4 + 43*s**3 + 760262064 with respect to s.\nAnswer: -46990844*s**3 + 129*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 1) + (1 - 13 - (45 + -35)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1083 - -0.06076. Round j to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d + 21. Let p be g(-4). Suppose -4*x - 1803 = -p*b, -4*b = 3*x - 1586 + 125. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 30*s**2 + 4*s - 7. Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 13*d - 7. Let k be (-12 - -15)*(-13)\/(-3). Calculate f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/3)\/((-3)\/(-6)). Suppose 0 = j*l + 4*s + 40, 5 = l - s + 16. Is ((-310)\/4)\/(7\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107177014?\nAnswer: 2, 7, 47, 23269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134158.\nAnswer: 2, 67079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*p - 10 = 0, -10 = 3*y + 12*p - 7*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.4 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9701 - 5350. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 6:26 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 567 - 564. Solve 13 = n*t + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 104*r**2 + 11*r + 13. Let k be 4*5\/(-30)*9. Is v(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 177*a - 20886*a**2 - 1\/2 + 821516*a**3 = 0.\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 35*f**2 - 37*f + 51. What is the remainder when s(36) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/43, -0.4, -2, 141\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*o + 290651 = 0, 5*r - 5*o - 215076 - 75579 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19865 + -19865. Solve 228*t - 206*t - 44 = c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, n: 2}. What is prob of sequence nj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgppizpzgpzzgzzzzz. Give prob of picking 2 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*w = -36, 2*d + 3*d + 36 = -2*w. Let r be (d\/12)\/((-3)\/6). Which is greater: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-9 + 8 + -1 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99, -351, -903, -1905, -3507, -5859, -9111, -13413?\n\"Answer: -25*t**3 - 77*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -186\/7, -1\/51, -56?\nAnswer: -186\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000354472 rounded to five decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(9) + sqrt(99)\/(sqrt(11) - sqrt(11)*-2) - sqrt(225)*1)\/(1*(sqrt(12) + sqrt(3))*3) + -4)**2.\nAnswer: 88*sqrt(3)\/9 + 4009\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/22)\/((2\/(-2))\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 8. Let h be z(8). Let v be (-6)\/(-8)*(4 - h). Factor 3*j - 3*j**3 - 3*j**v + 4*j**2 - j**2 + 0*j.\nAnswer: -3*j*(j - 1)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by -497\nAnswer: 148\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.5 (c) -5 (d) 3\/8 (e) -859 (f) -20\/9 (g) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.665 and 0.5.\nAnswer: -1.3325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 + 10 = 3*t, -5*t - 2*q = -32. Let y be ((-2)\/(-3))\/(t\/18). Which is the nearest to 3? (a) 5 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77387393729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Let w(d) = 79412*d**2 - d. What is w(f(r))?\nAnswer: 317648*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 19*i - 7. What are the prime factors of h(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5 + 3*d**4 + 15*d**3 + 9*d**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -10*q - 8. Let m = 4880 + -19517\/4. Solve 51\/8*b - m - 3*b**q = 0.\nAnswer: 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v + 43 - 148 = 35. What is the closest to 0 in -0.4, v, 0.5, 4.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, d: 10}. Give prob of sequence zdd.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181.0002484 + 181. Round w to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*o**3 - 9136*o*v**2 - o*v - 9135*v**2 - 55*v - 1 with respect to o.\nAnswer: 39*o**2 - 9136*v**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z + 8. Let s(m) = m**2 - 12*m + 14. Let r be s(10). Let o be t(r). Suppose -3*d = o*l - 82, -19 = 4*d - 3. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17562 is divided by 1491?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 29*h + 14. Calculate g(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 19338630?\nAnswer: 19338630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*u + 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 77. Solve 5*p = -3*l - 2 + d, -2*l + 4 = 5*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 855 + -854.5. Which is the nearest to -4\/11? (a) 0 (b) -0.1 (c) i (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 2*a + 4*k, -116 = 28*a - 26*a + 2*k. Let s be (a\/20 - -3)\/(12\/760). Solve -6*h**2 + s*h**3 - 14\/3*h + 4\/3 + 14\/3*h**4 - 8*h**5 = 0 for h.\nAnswer: -1, -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2 - 3*y + 5. Let w be r(6). Suppose k - w = -3*b - k, 3*b + 3*k = 234. Round b to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -127\/3. What is the second biggest value in x, 4, -3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = t - 17, 0 = -4*j + 2*t - 12 - 14. Let p = -0.8 + 0.3. Sort p, j, -1 in increasing order.\nAnswer: j, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.046698?\nAnswer: -0.0140094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12) + 138\/120\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 40 (b) 6\/19 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 128*j**2 + 9*j - 9. What is r(1)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -728, -1619, -2676, -3899, -5288?\nAnswer: -6843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.78 + 12.8. Let t = q - 0.02. Let b = -1633 - -1633.02. Put t, -4, b in decreasing order.\nAnswer: t, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.215 - 0.07. Let n = 0.045 - q. Let y be 0 - 2 - 16\/(-10). What is the nearest to y in 5\/4, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252 - 3274\/13. Let m = -0.137 - -2.647. Let l = m + -0.51. Which is the third smallest value? (a) i (b) l (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/180 and 87\/16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -223, -302, -371, -436, -503?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 53891669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 6*x + 3. Suppose -2*m + 2*l + 2 + 0 = 0, -3*m = -2*l - 8. Let j be w(m). Put 0, j, 4 in decreasing order.\nAnswer: 4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21419*h**4 + 23*h**3 - 21*h**2 + 3303498.\nAnswer: -85676*h**3 + 69*h**2 - 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -7 - 2. Is 2\/(2\/u) - -416 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 56 = 4*l, 1363*l - 1360*l = 3*o + 6. Solve p - 4 = -p + 2*d, -3*p + 4*d = -o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**2 + 18868183*o - 32027331.\nAnswer: 10*o + 18868183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9685939 or 96859383\/10?\nAnswer: 96859383\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -33. Is (-122)\/y + 8\/12 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40205621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -113*t + 150*t - 124838. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023 = -q - 2*q. Let j = 560 - q. Suppose -3*h - 30 = -j. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 - 81. Let v be (-25 - -7)*(-2)\/4. Calculate the highest common factor of v and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b6 (base 16) in base 6?\nAnswer: 31450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59433251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1383.61 and -0.275.\nAnswer: 380.49275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**8\/588 + 422*j**7\/245 - 50243*j**6\/105 + 32864*j**5\/35 + 99856*j**4\/21 - 5487*j**2. Find f such that i(f) = 0.\nAnswer: -1, 0, 2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14233 is divided by 1776?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 88, 182, 362, 658?\n\"Answer: 5*h**3 - 2*h**2 + 9*h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, z: 2, e: 1}. Give prob of sequence ej.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741278257 to the power of 1\/3, to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -6643369.3.\nAnswer: -6643372.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3*z - 72*x**3 - 96*x**2*z**3 - 3*x**2 - 5368*x*z**2 + 2*x - z**3 wrt x?\nAnswer: 12*x*z - 432*x - 192*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1323.0668 to 0 dps.\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/4)\/((-120)\/(-72))*-2. Let f = 25 + -15. Suppose 2*z + 5*c - 25 = f, -4*c + 52 = 4*z. Solve -z = w*o + 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62102497.\nAnswer: 62102497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/3 - 2012*k**2\/9 + 43534*k\/9 + 15184\/3 = 0. What is k?\nAnswer: -1, 73\/3, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/36 + 47\/180. Which is smaller: 9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndfnnddfu. Give prob of sequence uuuf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-304 - 812 + 297)*(-14*h**3 + 8*h**3 - h**4 + 7*h**3) in the form d*h**4 + y*h**3 + x*h**2 + i + q*h and give y.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82563, -165176, -247789?\n\"Answer: -82613*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1331) - sqrt(1331)) + sqrt(11) + -3)*3.\nAnswer: -9 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87825\/19792 + -1\/9896. What is the common denominator of f and -107\/1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 289*i**2\/2 - i + 39. Does 16 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1988*184217\nAnswer: 366223396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -510 and -0.4.\nAnswer: -510.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k. Let h(i) = -242*i**2. What is h(p(l))?\nAnswer: -2178*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**4 + 8*f**4 - 3*f**4)*(0*f + 3*f - 7*f).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 3*m)*(-58 + 0*m**2 + 63 + 3*m + 2*m**2).\nAnswer: 4*m**3 + 6*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = t - 4*t. Suppose 3*c - 2*c = -3*l + 273, t*l - 3*c = 455. Suppose 0 = -4*w - k + 79, -3 + l = 3*w - 5*k. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 323.2 and 21309.\nAnswer: 6887068.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 12. Suppose c + f = 4*c. Suppose -3*q + 2*q = -c. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*z - 22*z - 16104. What is the highest common factor of z and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -4*c. Let i = 14 - 15. What is the smallest value in c, -3\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3.437, -2\/3, -1\/3, -4 in decreasing order.\nAnswer: 3.437, 1\/3, -1\/3, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62320 and 419881.\nAnswer: 33590480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -i - 2*s, -95*s = -4*i - 96*s + 38 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142 + -144. What is the third biggest value in s, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 2, c: 6, t: 9}. What is prob of picking 1 n, 1 t, and 1 s?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let p be 10\/3*(-54)\/(-15). Suppose b + p = 5*b. Solve n - b = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -10001?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.2, -3\/2, 2\/17, 2\/9 in descending order.\nAnswer: 2\/9, 2\/11, 2\/17, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 40 - 11 = -5*t, -5*t + 48 = 2*c. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 2 + 8*q + q**2 - 3. Let t be x(7). What is the third derivative of 0*h**t + 4*h**2 - h**6 - 3*h**6 + 8*h**6 wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + 0*l**3 - l**3 + (0 + 0 + l)*(-199*l - 4*l**2 + 197*l - 5*l**2).\nAnswer: -7*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -120*o + 264. What is the units digit of i(-46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5))**(26\/7))**(-2\/59)\/(((w*(w**(-1\/3)\/w)\/w)\/w)**14\/(w**(-3\/5)*w*w**(-1\/2)\/w)) assuming w is positive.\nAnswer: w**(78347\/2478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:36 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (70\/(-21))\/(2\/(-6)). Suppose 5*t - g = 3*t. Let j = 8 + t. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15949751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*g**2 - 5890*g**3 - 681*g**2.\nAnswer: -5890*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 5*j**4 - 2 + 0*j**4 + (4*j**3 + j**3 - j**3)*(-5 - 2*j + 5).\nAnswer: -6*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, d: 1, i: 1, q: 4, r: 2}. Give prob of picking 1 q and 1 e.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816263 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Find the third derivative of 0*k**2 + 3*k**2 + k**4 - q*k**4 - 5*k**2 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842286104 rounded to the nearest 100000?\nAnswer: 2842300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 9313 (c) 1\/8 (d) -2\/15 (e) -2\/5 (f) 57\/8 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*l = 14 - 258, 5*c = 2*l + 326. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -812462 - -458228699\/564. Find the common denominator of c and -17\/16.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 139, 298, 515, 796, 1147?\nAnswer: 1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005966125 rounded to 6 dps?\nAnswer: 0.000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.806389 kilograms in tonnes?\nAnswer: 0.001806389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 231795345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(8) + -3*sqrt(288)))**2.\nAnswer: 7\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-34)\/10 - 1) + -7 + (-143)\/(-13). Which is the nearest to 27? (a) -4 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 107, 203, 301, 401, 503?\n\"Answer: z**2 + 93*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + b - 4 = -b, 0 = 4*v - 4*b - 8. Suppose 0 = -14*z + 7 + 29 + 6. Solve -v*p + 2 = 4*q, q - z*p + 23 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (-1 + (-217 - -221 - (1 - 5)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6797*h + 1755. What is the hundreds digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -56 + 96 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (30 - 70) + 15 + (-8 - -5 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*((k*k\/(k\/(k**3*k)))\/k*k)\/k*(k**0*k)\/k*k)\/(k**4\/k**(-3\/5)))**(-30) assuming k is positive.\nAnswer: k**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2773, -10, -6, -129 in ascending order.\nAnswer: -129, -10, -6, -0.2773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10*110\/2. Suppose -f + 4*g = -4, -g - o = -f - 3*g. Calculate the highest common divisor of 40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.17, -21, -10, -2, -2\/17, 0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*s**3 - 11*s - 50*s**3 + 12*s + 41*s wrt s.\nAnswer: -174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x**3 + 12*x - 930. Let m(t) = -13*t**3 - 6*t + 466. Determine 7*m(a) + 4*o(a).\nAnswer: a**3 + 6*a - 458","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rru. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n - 2*m + 264, 4*m + 174 = 3*n. Suppose -4*b + 2 = -10. Suppose k + b*k - 66 = -w, -3*k = 3*w - n. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 14. What are the prime factors of j*(19\/(-2) - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6062, 6058, 6052, 6044, 6034, 6022, 6008?\n\"Answer: -z**2 - z + 6064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-43)\/k)**(3\/10)*k*(k**(1\/3)*k*k)\/k*k*(k\/(k\/((k*k**(-3\/2)*k)\/k)))\/k)**(-1\/82) assuming k is positive.\nAnswer: k**(341\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2883 - 2876. Let u(o) = -5*o + 0*o + 0 + 9*o**2 + 4 - o**3 + 3. Let t(d) = 4*d**2 - 2*d + 3. What is h*t(q) - 3*u(q)?\nAnswer: 3*q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 4748?\nAnswer: 4748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 15 = 5*v + o, -5*v + 4*o = -25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7026323\/5 >= -1405265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:12 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 1. Let g(f) = -f**3 + 8*f**2 - 9*f + 7. Let n be g(7). Let p = -4 - n. Sort p, s, 4 in decreasing order.\nAnswer: 4, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15*i - 3. Let l(z) = -136*z - 28. Calculate -3*l(a) + 28*o(a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 14. Let l = x - 2. Suppose 3*m = -3, -2*y + l*m = -0*y - 15. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/11 - 64*r**2\/11 + 50*r\/11 + 372\/11.\nAnswer: 2*(r - 31)*(r - 3)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -10) + 0\/(-1). Suppose 0 = z*l + 2*s - 10, 4*l + 16 = 5*l - 4*s. What is the second derivative of y**4 + 10*y + 7*y**4 + l*y wrt y?\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126059 and 17871?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3\/57*2 + 50103284\/4522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5289 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*u - 3*x, -3*u + 4*u = 2*x - 7. Suppose 5*z = 2*g + 20249, 0 = -u*g + g - 4. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1052477 - 1052477 + 656*d**2 as s*d**2 + j*d + h and give s.\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*w + 23 = -3*c, -c - w + 7 = 0. Suppose 12 = -0*j + c*j. Suppose -2*l + 2 = -8. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.35537792 and -23.\nAnswer: -28.35537792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-2*(8 - 7)). Let k = 103 - -32. Calculate the highest common factor of k and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v**2 - 33*v - 1. Let o be k(-4). Let a = 99 + o. Solve -a*h = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20617603 to the power of 1\/2, to the nearest integer?\nAnswer: 4541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6823 = -68*k + 4193. What is the remainder when k is divided by 80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(9\/5)*a*a*a)\/a*a*a**(-1\/4)*a)\/(a**0*a)**(-36) assuming a is positive.\nAnswer: a**(871\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeveeeeeeeveee. What is prob of picking 2 e?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1570592*l + 1570592*l + 3660*l**2.\nAnswer: 3660*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231002 by -5.\nAnswer: -231002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/221 or 1.127?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1849984885 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18913 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: Divide -154618338 by -2089437.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 12:23 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*s - 55, -5*c + 82 = 4*s + 17. Let n = -4 + 7. Let j = -1 + n. What is the smallest common multiple of j and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bac when three letters picked without replacement from bclllhlbaclchcala?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -13. Let j be (-224)\/42*(-1)\/2*3. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 194810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let d(b) be the third derivative of 43*b**4\/3 - 119*b**2 - 2*b + 2. Determine p(d(f)).\nAnswer: -236672*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:32 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 2 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17793131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3108881l?\nAnswer: 310.8881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + 2c119a?\nAnswer: 2c1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 plus 27?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 12*z - 44. Does 33 divide u(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1849*n**3 + 60*n**2 - 6*n + 5876. Let h(b) = b**3 - 10*b**2 + b + 3. Let c(m) = -6*h(m) - k(m). What is the derivative of c(q) wrt q?\nAnswer: -5565*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from jsasraasassajasssar?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13897*i**3*n**3 - 151*i**3*n**2 - 12163*i**2*n**3 - 110*i*n**3 wrt i.\nAnswer: -83382*n**3 - 906*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148294 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5414168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11527 divided by -682\nAnswer: 11527\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/17)\/u)\/(((u\/(u*u**(1\/8)*u*u))\/u*u)\/u))**(10\/7) assuming u is positive.\nAnswer: u**(1525\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1235 - -74286?\nAnswer: 75521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -78. Let j = -2957 + 2975. What is the lowest common multiple of r and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*18\/(108\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133174212*u**2 - 108726371*u.\nAnswer: 266348424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 + 3 + 28 + 3 and (-32)\/(-18) + (-6)\/(-27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + o + 19, -o + 11 = 5*k - 0. Suppose -97 = -3*v - 2*y, k*y + 0*y - 93 = -3*v. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -616 - -3953. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(4\/19))**(15\/11))**(-3\/8))**(-1\/39) assuming x is positive.\nAnswer: x**(15\/5434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228981*a*r - 121807*a wrt r.\nAnswer: -228981*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/4 + 9*k**4\/4 - 27*k**3\/2 - 24*k**2 + 72*k = 0. What is k?\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -85 (b) 847270 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/(3432\/3276).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(((-6)\/(-86))\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29596402 to the power of 1\/2, to the nearest integer?\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 19\/28)\/((-33440)\/385 + 86)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3757693\nAnswer: 1\/3757693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4012\/(-65416) - 15\/(-130)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78\/6642317 or 1?\nAnswer: 78\/6642317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 157829005 times 0.2\nAnswer: 31565801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*f + 3*b - 0*b, -5*f - 3*b = -27. Suppose -5*y + 24 = -3*x, -y = 4*x - 3*x. What is the remainder when f is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*s - 7, s = -5*r + 5 + 4. Let m be 32\/28 - 2\/14. Solve -3 = r*l + m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2. Suppose 0 = -o - 0*o + 14. Let k be 2\/(-7) + 116\/o. Let d(u) = -10*u**2 - 8 + k. What is d(b(h))?\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4920 by 6.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -524*s + 1146. What are the prime factors of b(-30)?\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2107*t**2\/3 + 107455*t\/3 + 34 = 0.\nAnswer: -2\/2107, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(204\/35547*41).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106834, 106833, 106832?\nAnswer: 106831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 2 r when four letters picked without replacement from {x: 4, g: 5, r: 3}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/((-3)\/507) + -5. What is the greatest common divisor of 738 and m?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/2 + 18185*o**2\/2 - 45443*o - 127260 = 0. Calculate o.\nAnswer: -2, 7, 18180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -256.01?\nAnswer: 256.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 + 7884*x - 21153936.\nAnswer: 3*(x - 2216)*(x + 12728)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 495781*y**2 - 34*y - 524.\nAnswer: 991562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 7*k**2 - 9*k - 10. Let y be d(-8). Let x be 3*(10\/3 + y). Sort x, -4, -5 in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3227 divided by 10?\nAnswer: -3227\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.049 + -0.049. Let a = -10 + r. Let j = a + -7.5. Round j to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189450\/5179 - 10114115783\/321098. Let w = 31534 + b. Let h = -623\/8 + 329\/4. What is the common denominator of h and w?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157313 is divided by 314.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-6))\/((-9)\/(-24)). Suppose u*r + 22 + 141 = 3*j, -59 = -j - r. What is the greatest common divisor of 38 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784662.\nAnswer: 2, 3, 19, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**7*o)\/o))**(1\/20) assuming o is positive.\nAnswer: o**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88875 by -3.\nAnswer: 29625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -839*n - 1089. Let j(g) = 4*g - 8. Let i(m) = -2*d(m) + 2*j(m). What is the first derivative of i(w) wrt w?\nAnswer: 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -30, 599 in descending order.\nAnswer: 599, 3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320881.\nAnswer: 11, 31, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*u + 42 - 10 = 0, -5*o + 31 = -2*u. Suppose -3*i = o*i. Let w = -0.3 - 0.7. Which is the nearest to i? (a) w (b) 4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406 (base 11) to base 5.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {f: 1, t: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 31 + 56)*(-t**3 + t**3 + 3*t**3) + (0*t**2 - t**2 - t**2)*(0 + 0 - t) in the form p*t**3 + s*t + n + o*t**2 and give p.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**2\/2 + 17*x + 16. Let v be 0 - 2*2*-1. Let l(c) = -c - 6. Calculate v*i(s) + 11*l(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4eda + 4?\nAnswer: 4ede","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3607524, 3607507, 3607486, 3607461?\nAnswer: 3607432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Suppose f*i = i + 296. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*z**2 - 306*z**2 + 963*z**3.\nAnswer: 963*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8475.68 and -0.586.\nAnswer: -8476.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/25*160\/408)\/(-2)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1020010222021212?\nAnswer: 1020010222021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156*l**5 + 186*l**5 - 173*l**5 + (-3 + 3 - l**3)*(0 + 0 + 2*l**2) + 3*l**5 + 0*l**5 - 2*l**5.\nAnswer: 168*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 12 - (-113 - -106).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c = 5*c + 96914 + 28474. What is the greatest common factor of c and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-16) + 2\/16*-2. Let t be 1\/1*n\/(-1). What is the second derivative of t*d**2 + 19*d**2 - 71*d + 52*d wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(45\/(-11115)*-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -488b (base 13) in base 10?\nAnswer: -10255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 7)*-5 - (0 + 2). Is -3*o\/(-18) + 4116\/24 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = g - 6*g + 459, -4*g + 366 = 2*s. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33946 (b) 32\/61 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*v - v. Suppose -6*a + v = -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: What comes next: -21, -36, -75, -150, -273, -456, -711, -1050?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(192) + sqrt(21)\/(sqrt(7) - (sqrt(28)\/sqrt(4) - sqrt(7))).\nAnswer: 4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/5 + 65458*a**4\/5 + 2354468*a**3\/5 + 18699028*a**2\/5 - 44723302*a\/5 + 23604346\/5 = 0. Calculate a.\nAnswer: -32693, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c - 22*c + 0*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-6)*(5 + -3). Suppose 0 = -o*m + 4*c - 36, 0 = 3*c - 0 - 9. Let q(f) = 2*f + 35. What are the prime factors of q(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309827181?\nAnswer: 13, 97, 1038721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 1421*n\/2 - 2834.\nAnswer: -(n - 1417)*(n - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -74579*m + 37514*m + 36272*m + 1 as d*m + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(-1*sqrt(539)*3 - 4*sqrt(539)*1)**2 + -3) + -1.\nAnswer: -211301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -567077540 divided by -3?\nAnswer: 567077540\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1815 and 3855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -251, -249, -247, -245?\n\"Answer: 2*q - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5*r)\/(r*r\/(r**(3\/5)*r))*(r*(r**(-1\/4)*r)\/r)\/r**6)\/(r**(-7)*r\/(r*r*r\/(r\/(r\/((r**8\/r)\/r)))))**(17\/5) assuming r is positive.\nAnswer: r**(211\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*n + 5. Suppose 2*i + n*i = -5*p, i - p = 6. Solve -12 = i*y - 4*v, -4*y + 16 = -8*y + 3*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z)*(-2 + 1 + 3)*(-1 + 1 + 2*z**2) + 4*z**3 - z**2 + z**2.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7070655 and 55\/11313048.\nAnswer: 56565240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16691, -33370, -50051, -66734?\n\"Answer: -w**2 - 16676*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -18, -5, -2, 0, 7122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 44444102213?\nAnswer: -44444102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76148.\nAnswer: 2, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*k)**(-21\/8) assuming k is positive.\nAnswer: k**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - (-59)\/(1298\/1434)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 7*s**2 + 9*s - 1. Let c be m(6). Suppose 5*o = -2*n + 33, -3*o + n = -5 - c. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44022 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqxqrqrqxx. What is prob of sequence rq?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o + 9*o**4 - 67*o**2 + 126*o**2 - 57*o**2 as z*o**4 + x + c*o**3 + i*o**2 + j*o and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/746 and -29\/1698856?\nAnswer: 633673288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 212?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 173617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/36)\/(2\/(-6)))\/(199\/199)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*w + 42 + 10, 0 = -w + 4. Let p be 4 + -3 + 2 + -6. Let t = p + 11. Solve -4*c = -t*c - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 216 + 76 = 0. What is the remainder when 51 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 4*i**2 + 4*i - 2. Let l(t) = -t**3 - 4*t**2 - 3*t + 2. Let w(m) = -4*b(m) - 5*l(m). Let q be w(-4). Is 2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171472536 divided by 9\nAnswer: -19052504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 + 22)\/(3*1). Let l(m) = m**3 - m. Let n(h) = -4*h**3 + h**2 + 4*h. Give z*n(d) + 2*l(d).\nAnswer: -2*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384753315 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 + 0.04. What is the second smallest value in 6, 1, h, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467960513.\nAnswer: 17, 659, 41771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.988 months?\nAnswer: 0.0499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(42)\/sqrt(6)) + -5)*-1 + -3 + (1*sqrt(189))\/(sqrt(48)*-2 + sqrt(48) - sqrt(3)).\nAnswer: -3*sqrt(7)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c*w**3 + 2*c*w**2 - 128*c - 20*w**2 - 6 wrt w?\nAnswer: 12*c*w**2 + 4*c*w - 40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5830436 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -2 - (-56)\/2. Suppose 5*v + 14 - 79 = 0. Let k = b - v. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3164613 is divided by 1288.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:30 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*l + 4773 + 12256 = 3408 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4122 + 186 = 6*h. List the prime factors of h.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 48.25?\nAnswer: -48.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641947 is divided by 694?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -48*b**7\/35 - 101*b**5\/60 + 1060*b**2 + 2*b. What is the third derivative of l(w) wrt w?\nAnswer: -6912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 714528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1.5, 5, 20.88?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 657453 + -891.393863.\nAnswer: 656561.606137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1916822 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9619099 + -9619112.099917. Let g = -13.1 - b. Round g to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72504 - 72433. Suppose -2*m = 6 - 0. What is the remainder when u is divided by -6*m\/6*5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 16. Let p be o(-5). Suppose 3*k = 3, -3*m + p*k = 6*k - 19. Solve -4*y - 8 = 0, -2*n - 2*y + 5*y = -m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, -2\/13, -0.03, 73 in ascending order.\nAnswer: -5, -2\/13, -0.03, 0.4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 564*g - 559*g - 10. Find the second derivative of -3*y**4 - 53*y - 5*y**g - 1 + 104*y - 47*y wrt y.\nAnswer: -36*y**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -310, -55, 322, 827, 1466?\nAnswer: 2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 201 - 404 + 2*u**3 + 2*u**2 + 205 - 3*u in the form v*u + j + t*u**2 + o*u**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 10*k + 7. Let t be b(2). Solve -7*l = -t*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 - (-38)\/(-14). Let s = j + 5. Solve 0 = 3*c - s*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -139. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*o + 626*o + 26*o in the form s + j*o and give j.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + sqrt(2057)*-1 + 5 + -2)*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5)\/p*p**2*(p\/p**(-16))\/p*p**(-17) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (254\/381)\/((-2)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88, 17, -164, -509, -1072, -1907, -3068, -4609?\n\"Answer: -9*m**3 - m**2 - 5*m + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-58)\/(-1247) - (-32661)\/587466 - (-4)\/(-46). Let j(h) = -h + 3. Let n be j(4). Is w at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u**3\/9 - 1400204*u**2 + 28354204*u\/9 - 700104 = 0.\nAnswer: -787617, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2390258 and -57\/646958.\nAnswer: 399173086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.2118393 to 1 decimal place.\nAnswer: -125.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 39 - (-3 + 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1370 and 21372.\nAnswer: 106860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10715467 is divided by 2333?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a**3 + 2*a - 1. Let y = -10 + 12. Suppose -2*k + 4 = y*k. Is 9 a factor of c(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 20*g + 17. Let w(r) = -11*r - 8. What is 6*v(u) + 13*w(u)?\nAnswer: -23*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 17*p - 22*p + 6, 5*c + 2*p - 14 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41582495 to the power of 1\/2, to the nearest integer?\nAnswer: 6448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060*x**2 + x + 1105*x**2 + 2116*x**2.\nAnswer: 4281*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18874 + -18869. Solve -3*u = -2*l + 17, -5*l - p*u = -4 - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 40*j + 87. Is 15 a factor of r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let s = q + 3. Let d(t) = t**3 + 2*t**2 - 4*t + 2. Let c be d(0). Solve -5 = 2*x + 5*v, c*x - s = -2*x + v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -303b - 34956?\nAnswer: -37995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 39*m**2 - 1. Let w be g(2). Calculate the greatest common divisor of w and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbxxxbxxxxbxbb. Give prob of picking 2 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t + 11. What is the hundreds digit of v(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1000266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b. Let d be 2 + 2*-6 - 1. Let v = 16 + d. Let n(y) = -6*y + v*y + 3*y + 2. What is a(g) - n(g)?\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 5. Suppose -r*a = 5 - 13. Suppose 228 = a*l - 5*j, -3*l + 140 = -0*l + 4*j. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 272763*r**2 - 3 + 0 - 272767*r**2 - 2*r**3. What is n(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*d + x, d + 12*x = 9*x. Let t(h) = d*h**3 + 825*h - 11 - 10*h**3 + 8*h**2 - 815*h. Determine t(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 9*y + 4. Let o(q) = q**2 - 4*q - 6. Let c be o(6). Let a = c - 2. What is the lowest common multiple of f(-8) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2679090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14693506 divided by 2\nAnswer: -7346753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let a(v) = 2*v**2 - 2*v - 2. Let j be -1 + 2 + 8\/4. Let z(i) = -2*i**2 + 1 + 3*i + 0 + 2. Let o(l) = j*a(l) + 2*z(l). Determine b(o(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b569 - -1c?\nAnswer: 6b588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + 8. Let z(j) = 4*j - 8 + d. Let x(s) = 3*s**2. Give x(z(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 28*z**3 + 5*z**2 - z - 5. Let d be b(-1). Let j be 328\/6 - 3\/(-9). Let s = d + j. What is the remainder when 54 is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -j - 5*t, -j + t = 3*t - 35. Let g = j - 74. Let o be (-3)\/(-6) + g\/(-6). Solve -f + o = -0*r - r, -4*f + 15 = -r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13909, -13906, -13901, -13894, -13885, -13874, -13861?\nAnswer: -13846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 133?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-6)*8\/4. Suppose k*z = -33 + 143. Calculate the smallest common multiple of 14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*d = 209996, 4*d - 100696 = -3*t - 415688. Round t to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + 0.96. Let m = 0.64 + 4.36. Which is the nearest to q? (a) 2\/9 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 393260 and 140450.\nAnswer: 1966300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4531, -1\/2, 4\/7 in ascending order.\nAnswer: -1\/2, 4\/7, 4531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028893.651 - -115.5?\nAnswer: -1028778.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 23842.64 to the nearest ten.\nAnswer: 23840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5220 and 4785?\nAnswer: -24977700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44677*h*z**3 + 10004*h*z**2 wrt z.\nAnswer: 268062*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 322*r**2\/9 - 13430*r\/9 - 12482\/3.\nAnswer: -2*(r + 3)*(r + 79)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66\/53 (b) 5 (c) -2\/3 (d) 2 (e) 2149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -16 - (7 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -596306386, -596306387, -596306388, -596306389, -596306390, -596306391?\n\"Answer: -q - 596306385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**3 + 1. Let i = -32 + 34. Let p(w) = 0*w**i + 5*w**2 - 4*w**2. Calculate b(p(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5093.\nAnswer: 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*r**3 + 12*r**2 + 130*r - 42*r - 45*r - 43*r + 8*r**4 - r**5 = 0. What is r?\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/30 and 131\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -25*o - 748. Let y be g(-30). Solve -16 = b - 3*d, -2*d - 27 = y*b - 7*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 7*h**2 - 6*h + 2. Let i(t) = -5 + 18*t + 1 + 22*t**2 - 4 - 10*t**3. Let o(l) = -2*i(l) - 7*z(l). Let y = -11 + 17. Calculate o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 3*c**3 + c**3)*(-2*c**2 + c - c) - 3*c**2 + 3*c**2 - c**5 + (-2*c + 2*c - 2*c)*(-c**2 + c**2 + 2*c**4) - 12*c**2 + 2*c**5 - 23*c**2 - c**2.\nAnswer: -7*c**5 - 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 - 4*y + 2. Let u be b(3). Let w = -5 + u. Solve -3 = 2*c - 3*r, w*c + 2*r - 6 = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67.23 + 1.77. Let z = -77 + x. What is the fourth biggest value in 4\/5, z, -1\/2, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.7, 22.8 in decreasing order.\nAnswer: 22.8, -1\/3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29128372 or -145641859\/5?\nAnswer: -29128372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-1*(1 - 3)). Let k = 58 - 58. Solve 0 = -l*h - k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6\/11 (b) -0.4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c - 12. Suppose 3*l = u - 18, u + l - 43 = -u. Let x be u\/(-27) + 1 + (-158)\/(-18). Solve -4*f = c*v - x*f - 11, -2*v + 9 = f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 7*p + 539. Let o(y) = 7*y - 76*y**3 + 6 + 6*y**2 + 3 + 2*y**2 + p*y**3. What is o(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -49*s - 6. Let k(z) be the second derivative of 490*z**3\/3 + 119*z**2\/2 + 7254*z. Determine 119*j(d) + 6*k(d).\nAnswer: 49*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/3, -62.6, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/93744 and 133\/108?\nAnswer: 93744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, -6, 2\/23, -0.35?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 169 + 2*h**2 - 537 + 161 - 2*h**4 + 171 in the form x*h**4 + a*h**3 + c*h**2 + o*h + t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 181*t - 177*t + 33, -5*t - 4*x = -13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.05, -3, 15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*h + 2, -6*k + k - 26 = -4*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*v + 73*v - 195*v = -1160 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m + 6. Suppose 0 = u + 4*r - 31, u + r - 38 = -2*u. Calculate the smallest common multiple of u and (5\/(-3))\/((-2)\/m).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 568 = 4*o, -2*h - 5*o + 469 = 98. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 318*b**2 + 103*b**2 + 0*b**3.\nAnswer: -b**3 + 421*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2154 + -33.3.\nAnswer: 2120.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94109*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 70*p = 262*p - 14892. Solve -6*d = -3 + p for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21152580 and 8461032?\nAnswer: 42305160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -151756 divided by 13796\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**6\/1800 - r**5\/200 - r**4\/60 + r**3 + r. Let h(l) be the second derivative of p(l). Factor h(z).\nAnswer: -(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from gggirgggxgiggrrr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6169 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4706625?\nAnswer: 3, 5, 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40582985 is divided by 4469.\nAnswer: 4465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3) + (-10693)\/408 + 25.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*z + 78*q*z + 196*z + 3 with respect to q.\nAnswer: -2*q*z + 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 419477.7 - 419499.700013. Let n = l - -22. What is n rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4869 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 36 = -0*n. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1189105.182 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + g - 1)*(-7*g**2 + 14*g**2 + 192*g**2) to k*g + x*g**2 + h + z*g**3 and give z.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -141*s - 106. Determine k(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45845803.\nAnswer: 19, 373, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j**2 + 35*j**2 - 76*j**2 - 389*j + 16.\nAnswer: -2*j**2 - 389*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260*u**3*z**3 - 18*u**3*z**2 + 35*u**3*z - 36*u**2*z**3 - u**2 - u*z**3 - z**2 wrt z.\nAnswer: -1560*u**3 - 216*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f - 272 = 106*f - 2752 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 366080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 18*k + 11. Let j be x(-9). Let a be 2\/(-4 - j\/15). Solve a*b - s + 0*s - 20 = 0, 2*s + 30 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/756 and -85\/441.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 25754, -3.\nAnswer: -3, 44, 25754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 5*c - 2. Suppose 2 = w - 0*w. Let y be b(w). Suppose y*i - 5 - 35 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 28 = -17. Suppose 0*z - z = c - 9, -z = 2*c - 12. Let k = z - h. Let x(j) = -j**2 + 1. Let b(w) = -6*w**2 + 2*w + 3. Calculate k*b(q) - 4*x(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + 1013*a + 4. Let z(l) = -3*l. Determine z(j(i)).\nAnswer: 9*i**2 - 3039*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 12) + -20 - -34.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3832130, -7664262, -11496398, -15328538, -19160682?\nAnswer: -22992830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17296615*r**2 - 19329207*r?\nAnswer: -34593230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0073, -2, -1\/4, 0.4, 0.2, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1453159 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -11*j + 0 + 0*j**2 + 13\/6*j**3 + 7\/6*j**4. Find the second derivative of n(i) wrt i.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1800, -1859, -1958, -2097, -2276, -2495, -2754?\n\"Answer: -20*t**2 + t - 1781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-62790)\/(-329700) - 2\/10. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -74\/5 (b) 0.2 (c) 3\/49 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -68, -94, -138, -206, -304, -438, -614?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 1. Let w be ((-3)\/l)\/((-1)\/(-4)). Let r = w + 4. Solve -c = c + r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 114\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**9\/241920 - k**8\/40320 - k**7\/4032 + k**6\/480 - k**5\/10 + 24*k**2. Let s(w) be the third derivative of t(w). Factor s(b).\nAnswer: (b - 3)*(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 2*b**4 + 2*b**4 + (-b**3 + 3*b**2 - 3*b**2)*(0*b**2 - 4*b**2 + 2*b**2) - 6*b**3 - 2*b**5 + 214 - 153*b**5 + 154*b**5 - 58.\nAnswer: 3*b**5 - 6*b**3 + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/3))**(-22)*(r\/r**(-1\/2))**(-1\/12)*(r**0)**28*(r**(-1\/4))**(-15) assuming r is positive.\nAnswer: r**(-793\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t**2 + 0*t)*(-2*t - 3*t + 3*t) + 0*t**3 - 3*t**3 + 2*t**3 + (5*t**2 + t**2 - 4*t**2)*(-3*t + 5*t - 4*t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 20*u - 37 to the form p*u + h and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33*(-22)\/13068)\/(12\/27)*1*248?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*k**2 + 6 + 534*k**2 - 1134*k**2.\nAnswer: k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -138, -221, -318, -435, -578, -753?\n\"Answer: -g**3 + 2*g**2 - 74*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/5 (b) -0.4 (c) -129 (d) -0.2 (e) 1\/6 (f) 1\/458 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29926 is divided by 2992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1515 and 18483.\nAnswer: 92415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518285 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 3*h**2 - 2*h**2 + 5*h**2 - 5*h**2 - h**2 - 10*h**2 + (4*h - 5*h + 3*h)*(-2*h + 2*h - 2*h) + h**2 - h + h to y + u*h**2 + v*h and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80741.5 litres in millilitres?\nAnswer: 80741500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1231256.\nAnswer: 6156280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 620*m**3 + 4*m**2 + 14 - 14.\nAnswer: 620*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.502994 milliseconds to weeks.\nAnswer: 0.000000205858125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*s**3 + 101*s**2 - 16 - 101*s**2 wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73.03642mm?\nAnswer: 7.303642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 83 + 1\/3*q**3 + 0*q + 3\/2*q**2. Solve l(i) = 0 for i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5674810, 11349615, 17024420, 22699225, 28374030?\nAnswer: 34048835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = q - 0*q. Let d = -12 + 17. What is the smallest common multiple of d and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -983\/6 (b) 0.1 (c) -0.5 (d) -0.4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4440)\/(-340) - 13)*60\/(-4)\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101223222 (base 4) to base 7\nAnswer: 421104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -102, -98, -96, -96, -98, -102?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-112) + 3645\/1134\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llxllllllxx?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*b = -27, 46*b - 1 = -2*i + 45*b. Put 846, i, -3 in increasing order.\nAnswer: -3, i, 846","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((88\/957)\/(-8)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/7, -0.05, 4, 10 in descending order.\nAnswer: 10, 5, 4, -0.05, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5899 + 21194. What are the prime factors of h?\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408913770 and 24.\nAnswer: 1635655080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 9 - 3*j**2 - j**3 + 4*j + 0*j. Suppose 7*l - 12*l = -5*x + 45, 2*x = -2*l + 2. List the prime factors of w(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(-115 + 30 + 25)*(-j**2 + 2*j**2 + 0*j**2)*(1 - 4 - 1).\nAnswer: 960*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -18075?\nAnswer: 9037.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsrqqsnqsnsnsrn. Give prob of sequence qrn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -542, -543, -544, -545, -546?\n\"Answer: -f - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let z be ((-35)\/10 - 1)*68\/6. Let d(c) = 8*c. Determine z*w(o) + 6*d(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48961881 divided by -3187.\nAnswer: -15363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 5. Let s = g + -5. Which is the third smallest value? (a) 0.4 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**2 - 13772*h + 6895*h + 6895*h + 28*h**2.\nAnswer: -2*h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vhhhhhhvhxhhhqhdh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 0*t + 3 - 3.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2756000 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-10) - 4\/(-10). Let w be 6\/(j\/(2 + 2)). Let x be w\/4*(-24)\/9. Sort 5, 2, x in descending order.\nAnswer: 5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840 is divided by 507?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8916588nm?\nAnswer: 0.0000000008916588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3725724*k*o**4 - 681*k*o + 102*k + o**4 wrt o.\nAnswer: -44708688*k*o**2 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7726*p**2 + 677*p - 338*p - 345*p.\nAnswer: 7726*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 3, -5, 1, 4, -3 in increasing order.\nAnswer: -5, -3, 1, 3, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -123?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -36*u - 2. Suppose 5*z = -6 - 14. Let q be j(z). Suppose 4*t - 2*t - 144 = -4*d, -4*d - t + q = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555326 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15 + 3*n**2 - 6 - 2*n**2 - 4*n - 6.\nAnswer: (n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)*c*c**(-18)*(c**(-2\/5)*c*c)**(-3\/28) assuming c is positive.\nAnswer: c**(-1873\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y**3 + 12*y. Let n(z) = z**3 - z. Give -2*l(u) - 22*n(u).\nAnswer: 12*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3693 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 41, 50, 59, 68?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 - 19*d**2 + 17*d**2)*(-89*d**2 - 5*d**3 + 89*d**2).\nAnswer: 50*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*p + 8. Solve 2*y - p*a + 7 = y, -5*y + 20 = a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.22712 and -2765974?\nAnswer: 2765976.22712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-34 + 33 - -3) - (-5 - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*r = 11*r + 164 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/9 (c) -5 (d) 48\/23 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 458 in -0.2, -2\/3, -22.3, 12, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/130 and -11\/50.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267808760.\nAnswer: 2, 5, 6695219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1039336*0.03.\nAnswer: -31180.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/40 - (-21)\/36. Let w = 0.12 + -0.15. Sort 2, y, w, -46 in decreasing order.\nAnswer: 2, w, y, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**4 - 4*a**4 - a**4)*(332 - 3149 - 3780) as m + o*a**3 + b*a**4 + u*a + i*a**2 and give b.\nAnswer: 13194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15516.23 milliseconds to seconds.\nAnswer: 15.51623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a + 1. Let g(f) = 18*f**2 + 5*f - 3. Determine g(q) + 3*z(q).\nAnswer: 21*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9 and 13184836.571?\nAnswer: 13184837.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5466)\/(-911)*8\/(-16704)*-3\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 3*a - 87. Does 13 divide b(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(171 - 167).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -61 - 80 + 71 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*m - 591*m + 2226*m**2 - 2225*m**2 + 36*m.\nAnswer: m**2 - 885*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 61874.\nAnswer: 18562.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/22*(-6544)\/(-4908).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275936743?\nAnswer: 71, 3886433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 1, z: 4, q: 3, j: 1}. Give prob of sequence qzv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyy when three letters picked without replacement from {z: 4, y: 4, v: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(2\/(-1))\/2. Suppose -4*k + 60 = d. Let a(h) = -2*h**3 - 4*h**2 + 6*h - 3. Calculate the remainder when a(-4) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10200 and 6800?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -66*g + 629. Let o be s(8). Is o at most as big as 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 1. Let o = -29 - -28. Let f(h) = 154*h**2 - 4 + 6*h - 152*h**2 - 2. Give o*f(q) - 6*u(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 24615*y - 221543. What is p(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2299) - (sqrt(2299) + 0) - sqrt(19)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -326 + 325.999999926. What is y rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5148 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 126501457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 = 0, -5*s = -0*s + z - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*w - 514*w = 104 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 107*j - 111. What is r(7)?\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130591 = 55*f - 97274. List the prime factors of f.\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2035*f**2 - 900280*f + 163620.\nAnswer: 5*(11*f - 2)*(37*f - 16362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 982.4 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*p)*(p**3 - 5*p**3 + 3*p**3) + 2*p**2 - p**4 - 2*p**2 + (p + p**3 - p)*((3*p - 4*p + 3*p)*(-4 + 0 + 3) - 4*p + 5*p + 7*p).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 + 64*r + 4. Let j(t) = -8*t**2 + 55*t + 4. Determine 7*j(f) - 6*m(f).\nAnswer: -14*f**2 + f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/65 + (-112)\/(-30). What is the nearest to x in 2\/13, -5\/4, -4\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -906 + 5411\/6. Suppose -4 = -j - 6. Find the common denominator of c and (-1)\/j*(-54)\/(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1071\/85)*((-224)\/24 - -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose -4 = -x - j. Let t(g) = -g**3 - 27*g**2 - 50*g. Let z be t(-25). Solve z*c = x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p*p*p**(-3)*p))\/p**(-2\/17))\/(p**(-3\/4)\/p**(9\/5)) assuming p is positive.\nAnswer: p**(1927\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2268*y - 58871. Give c(-26).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50647783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -289ba7a (base 12) in base 5?\nAnswer: -4042413130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.9 times 0.01?\nAnswer: 0.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14 - l + 18 + 18 - 15. What is the tens digit of p(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163025 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -459131712 divided by -208?\nAnswer: 2207364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 7. Let y = -12.2 + 15. Let s = -2.9 + y. What is the third smallest value in s, z, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 5560*b**3 + 4006056*b**2 + 197179840*b + 2515390592.\nAnswer: 2*(b + 26)**2*(b + 1364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9276940 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204040034 + -31?\nAnswer: -204040120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71897 take away -17889?\nAnswer: 89786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306\/126 - 4\/(-7) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from {u: 1, h: 1, c: 1, v: 1, l: 1, p: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -2621223104?\nAnswer: 2621223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 7055 + 3816 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 32960*g\/3 + 8419250\/9.\nAnswer: -2*(g - 49525)*(g + 85)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-352)*(-94)\/47.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.0527\nAnswer: 0.00527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:36 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g\/g**(3\/7))\/g)*g*g)\/g**(1\/8))\/((g*g\/((g*g*g**(1\/8)*g)\/g)*g)\/((g\/((g\/g**(-10))\/g*g)*g)\/g)) assuming g is positive.\nAnswer: g**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.812 + -3.1. Let z = n - -0.287867. What is z rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 40*l + 10. Let u be b(-20). Calculate the highest common divisor of u and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1308 greater than or equal to -1308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86104 divided by 1073.\nAnswer: 86104\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2303893 and -4.\nAnswer: -9215572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -32?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230889685, -461779368, -692669051?\nAnswer: -923558734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5562722299 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 810128 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606 and 5549142?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d - 349. Let v be k(39). Suppose -4*u - 5*h + 471 = 0, 183 + 56 = v*u - h. What is the remainder when u is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4904, -21016, -48342, -86882, -136636, -197604?\n\"Answer: -5607*x**2 + 709*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let g be 4 - (-2 + 4*9\/12). Suppose -w - s = 5*f, g*f + w = 2*w + 2. Solve f = 3*u - 2*u - 5*t + 20, -2*t = -2*u - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217595 is divided by 340?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 11*k**7\/14 + 7*k**4\/4 + 31*k. What is the third derivative of v(u) wrt u?\nAnswer: 1980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -5 (b) -120\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1194a?\nAnswer: 11945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501 (base 15) to base 14.\nAnswer: 5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14215455 divided by 5\nAnswer: 2843091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.766 + 0.234. Which is smaller: u or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41386278 is divided by 247822.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 7*c - 4. Let n be q(8). Suppose 15*d = 19*d - 12. Suppose 0 = r - 4, 109 = d*b + n*r. What is the remainder when b is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Suppose 2*f - 11 = -u. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 76 - 436 = 0. Suppose 3*o = o + 6. Let l be (h\/4)\/(o\/(-8)). Calculate the highest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1674206 divided by -27446\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 996\/72 + (-4)\/(-24). Solve 0 = -n - 5*d - 9 + 11, -5*n = d + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 144c - 4a?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5 - 6 + 2 - 2*p. Let t be h(-5). Is 1\/8 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15 = l. Let k(y) be the second derivative of y + 0 + 0*y**l + 1\/12*y**4 + 1\/2*y**2. What is the derivative of k(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13986 + -13985.93849. What is c rounded to 3 dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411 and 3?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 213.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -570\/21222161 or -1?\nAnswer: -570\/21222161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Let f(u) = 2*u**3 - 2*u**2 + 5*u + 2. List the prime factors of f(j).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = h - 12, -5*f = -7*f + 4*h - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 336*r + 2014. Let c be o(-6). Let n(k) = -k - 3. Calculate n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/5)\/((-4425)\/44250)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 314 + -312. Solve 0*p = n*p + 8, -8 = 4*j + 5*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197.36 + -20.16. Let u = 167 - s. What is u rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -5)\/((-2 - 1)\/3). Solve -6*r = -i*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -228934, -228933, -228932?\n\"Answer: d - 228935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i + 2. Let l be h(-3). Suppose l*j = -0*j + 28. Suppose 30 = 5*c - 40. Calculate the highest common factor of c and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + 148. Let f = 352 - n. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3249807 * 5\nAnswer: 16249035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 326 = -106. Suppose 2*u + 2*h = 24, u + 0*u - 3*h - z = 0. Solve 0 = j - 3*l + 10, 10 = 4*j + 4*l - u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*z + 589884, z + 10*z - 294892 = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9339 divided by 6?\nAnswer: 3113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-255)\/(-10)*(64\/3)\/4. Suppose u = k + 26. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194873.\nAnswer: 7, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 + 287. Suppose 1110 = 8*c - s. Let j = c + -93. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/2 + 182*t + 365\/2 = 0.\nAnswer: -1, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 11 - 11 - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2.3 (c) -0.12 (d) -0.5 (e) 2\/19 (f) -1 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjdjcuj. What is prob of sequence cuy?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -12 - (-138 - (-135 + 91))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*c + 9, -c + 0 + 2 = 3*f. Suppose h + 2753 = c*a, 2*h - 7*h = a - 535. Let b = 3 + a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:40 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iri when three letters picked without replacement from {r: 15, i: 4}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007061044 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 4:39 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -462*r + 968. Calculate the remainder when a(0) is divided by 457.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x = -78 + 663. Solve -x = -32*u + 37*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 527, 1677, 3819, 7259, 12303, 19257?\nAnswer: 28427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 533*g**6\/10 - 164*g**4\/3 - g**2 - 724*g + 3. What is the third derivative of b(i) wrt i?\nAnswer: 38376*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1585287648 to the nearest integer?\nAnswer: 39816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b, -2*c + 4*b = 2*c. Let a be ((-3230)\/(-154) - c) + -3. Let o = 83\/11 - a. Calculate the common denominator of -19\/15 and o.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5 + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 15*y**3 + 1527*y**2 - 312*y - 625. Give n(-102).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from yppdipyzdiyr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 3*v + 17, -5*v - 3 = p + 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 49*d**3 - 10*d**2 - d**2 - 82*d.\nAnswer: 49*d**3 - 5*d**2 - 82*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1648 (b) 5 (c) -30 (d) -2\/9 (e) 7 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 11. Calculate w(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -315.000197 - -315. Round k to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 28*v + 133. Calculate w(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -0.07, 1, -65 in decreasing order.\nAnswer: 1, -0.07, -22, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3116, 3117, 3118, 3119, 3120, 3121?\n\"Answer: u + 3115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1208*d**2 - 39*d**3 + 15*d**3 - 1208*d**2.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 62.02703 weeks?\nAnswer: 37513947744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*b**2 - 395*b + 13931 wrt b.\nAnswer: -32*b - 395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245143, -490369, -735615, -980881, -1226167, -1471473?\nAnswer: -1716799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4022020125 + -6?\nAnswer: 4022020116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let t(f) = -1588016*f + 16. Let b(u) = -2*t(u) + 80*v(u). Let h be b(21). Round h to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.204036ug to kilograms.\nAnswer: 0.000000006204036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21357819 divided by 21.\nAnswer: -1017039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 5\/24, 90\/133, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*72\/(-56)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(7\/(2380\/(-64))). Let s = x - -583\/56. What is the smallest value in 2\/11, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9449*x**5 - 32*x + 9?\nAnswer: -188980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20062.4kg in micrograms?\nAnswer: 20062400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13248 is divided by 491?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/(-4) - (-1)\/(-4). Let p = t + -5. Let a = p + -2. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002724 minus 0?\nAnswer: 5002724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3424 - 3418. Solve 5*o - 2*n - 10 = 0, 4*n = z*o - 10*o + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 8*v + 10. What is the hundreds digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 4\/3*v**3 - 3*v + 3\/2*v**2 + 0. Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-10))\/((-5)\/(-575)). Let x = 130 - j. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 819056285\/19091732 - 2004220\/55143. Let x = 1\/3116 + p. What is the common denominator of -1 - (200\/6)\/2 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 6*n**2 - n**2 + 3 + 2 wrt n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388864486 to the nearest integer?\nAnswer: 19720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21959.\nAnswer: 7, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 91*r**2 - 92*r - 57. Give n(92).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52225702 and 1619.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1901 and 168.\nAnswer: 319368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22485851849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 6*s + 5. Suppose 0 = 4*w + 3*j + 53 - 17, 0 = -5*w + 3*j - 18. Let q be n(w). Suppose -38 + 8 = -q*h. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymccymcm. What is prob of picking 1 c and 1 m?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrddzoirz. Give prob of sequence ri.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 21 = -39. What is the second derivative of -30*s**2 + 16*s + 8*s**2 + d*s wrt s?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*26\/((-208)\/174)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2855 and -47\/489918.\nAnswer: 2449590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -c + 41, -5*c - d = d - 219. What is the remainder when 84 is divided by c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1)\/4*2\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1100000100111110101 (base 2) to base 4\nAnswer: 1200213311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 38 + 25)*(2*k + 2*k**4 - 4*k**4 + 0*k) + 3 - 3 - 2*k**4.\nAnswer: 176*k**4 - 178*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-12)*-2*3\/(-132).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 6:58 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - -13) + 31303 - (10 + 15\/(-3))?\nAnswer: 2, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 3324.79231844?\nAnswer: -3325.29231844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6470 = w - l + 2016, 6*l = -3*w + 13326. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = -48*c + 80 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1908*o = 1912*o. Let u(y) be the first derivative of 0*y**4 + 9 - 9\/5*y**5 + 2*y**3 + o*y + 0*y**2. What is the third derivative of u(c) wrt c?\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 13, x: 1}. What is prob of picking 2 a?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghm when three letters picked without replacement from xmyggmmhgmh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 2.1119434\nAnswer: -27.4552642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -996, -1491?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103210642 + 103210642 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5469796.\nAnswer: 2, 19, 71971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23511358827 rounded to 6 dps?\nAnswer: 0.235114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) -0.4 (b) -3\/7 (c) -1 (d) 0.2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5093030.3 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 396*o - 25. Let a be b(9). Let p = a + -2403. Is (-6 - -8) + (p - (-1 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 1224341453?\nAnswer: -1224341460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44669, 178766, 402261, 715154?\n\"Answer: 44699*n**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176884.\nAnswer: 2, 44221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (54\/2)\/3. Suppose 4 = 4*k - d, -k + d + 4 + 0 = 0. Let v(g) = g + 55. Let f be v(k). What is the highest common divisor of f and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d (base 16) to base 7.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -381*a**6 - 659*a**4 + 24*a**3 - 2892164*a**2 + 2 wrt a?\nAnswer: -45720*a**3 - 15816*a + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 8:11 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/5 (b) 5 (c) 2\/3 (d) -0.4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 22 = -22*f - 11*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 2*w. What is the remainder when j(-2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58, -59, -58, -55, -50?\n\"Answer: r**2 - 4*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1146, 2298, 3470, 4668, 5898, 7166, 8478?\nAnswer: 9840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 0.4 (c) 2\/21 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - k**2 + 3*k**2 + (15 - 11 + 25)*(k - k - 2*k**2).\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30 + (105\/7)\/3. Solve -6*d - 2*i - 22 = -2*d, t = -5*d - 4*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-30))\/((-4)\/(-10)). Let f = 33.8 + -26. Let x = f - 3.8. Which is the biggest value? (a) 3 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k**5\/3 - 7270*k**4\/3 + 6494*k**3 + 92946*k**2 + 123588*k - 95904 = 0.\nAnswer: -333, -3, 6\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(4 - 5) - -2*(-68)\/(-24). Which is the nearest to -1\/2? (a) -0.184 (b) 0 (c) r (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -47. Solve y*i - 11 = 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 1121247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g - 4*g + 5*g - 7*g. Let i(v) be the first derivative of -v**4\/4 - 2*v**3 + 7*v + 3. Let u(p) = -i(p) - 3*r(p). Calculate u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2907 + -668. Suppose -11*k = -p + 17. Suppose -1423 + k = -3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -78 + 70 + (-2125993 - -1). What is y rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2*((-39)\/(-3) - -2)*21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y. Let s(m) = -2049*m. What is s(q(f))?\nAnswer: 20490*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 19657*a**3 - 2*a**2 + 10. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 680*b**3*f**3 + 597*b**3 + 2*b**2*f + 1250*b*f + 430*f**3 + 2 wrt b.\nAnswer: 4080*b*f**3 + 3582*b + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + q + 1. Let h be 4*((-28)\/(-2))\/(-7 + 3). Let w(m) = 12*m**2 + 7*m + 7. Calculate h*p(z) + 2*w(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 38*u - 200. Calculate s(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/3*2 + 850. Let k be 2\/(3 + d\/(-284)). Suppose 3*v = -3*s + 138, -8*s = 3*v - 3*s - k. What is the greatest common factor of 110 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 5, 4, 0, -3, 68 in descending order.\nAnswer: 68, 5, 4, 0, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 5. Let p(b) = -5*b - 8. Let v(t) = 8*i(t) + 5*p(t). What is the remainder when 22 - (435\/(-58) - 6\/(-4)) is divided by v(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/14 - 3) + 4 - (-6886590)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -376. Suppose -w - 225 = -4*b. What are the prime factors of b?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79717 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34652280 and 31764590?\nAnswer: 381175080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 60.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1954*k + 5. Let p be l(5). Let y = -14675 + p. What is y rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/3 - n**4 - 32*n**3\/3 - 20*n**2 - 32*n\/3.\nAnswer: n*(n - 8)*(n + 1)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30073, 120267, 270595, 481063, 751677, 1082443, 1473367?\n\"Answer: b**3 + 30061*b**2 + 4*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 26. Let l be w(6). Suppose -456 = -l*n + 4*o, n - 4*o = 230 - 2. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22885038?\nAnswer: 2, 3, 11, 59, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*1)\/sqrt(9) - (5 + sqrt(2)*1))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) -1.2 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m*q**4 + 94134*m*q**2 + 3354*q**4 - 2*q**2 wrt q.\nAnswer: -216*m*q + 80496*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -18872?\nAnswer: 18869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12bd8 (base 14) to base 15\nAnswer: -da85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 150, 209, 264?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2517810880 to the nearest one million.\nAnswer: -2518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 247 - 250. Suppose -i - 4*u + 6 = -12, -2*u = 3*i - 14. Which is the closest to i? (a) r (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 11. Let m be d(5). Suppose -4*k + 120 = -m. Find c, given that 36*c + 2 - k*c + 5*c**2 - 5*c**2 + c**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7336 divided by 14.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 230557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + 4*u. Let d be 2\/(-5)*(-10 - 0). Let l(v) = 14*v**2 - 52 + 11*v + 52. Give d*l(n) - 11*o(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56282 is divided by 417.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97.26963 decades?\nAnswer: 9.726963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -639 times 0.3\nAnswer: -191.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from 18430201693.\nAnswer: 18430201676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16\/104 - (115\/(-13) + -9)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 71. What is the closest to -3 in -0.3, 0.5, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + -3 + 13 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40161 is divided by 13340?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 - 21 = 5*w, -3*w = 9. Is t\/(-36) - 3431\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53910 and 210?\nAnswer: 377370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 134.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2017 - -2017.02594. Let n = -52.874 + 52.9. Let k = n - q. What is k rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14161690207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1*10\/(-5). Suppose 4*l - 19 = -5*d, -a*d + 14 = 2*d + 2*l. What is the units digit of (-1 - -7)*d\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a + 2*a**5 + (-2*a**2 + 0 + 0)*(5*a**3 + 10*a**3 - 9*a**3).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -383 - -8?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qryyqyyqxrxrxqyqrbr. Give prob of sequence rx.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101302302 + 1?\nAnswer: -1101302301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 21. What is the lowest common multiple of v and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 145 = -3*r + 2*h, 2*h - 98 = -2*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*u**3 + 276*u**3 - 204*u**3.\nAnswer: -57*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48203 (base 10) to base 2.\nAnswer: -1011110001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 4. Let o be m(2). Suppose -3*s + 6 = -o. Let y(j) = -j**2 + 7*j + 11. Let k be y(8). Sort -4, k, s in decreasing order.\nAnswer: s, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11422, -1\/3, 2\/3, 5 in decreasing order.\nAnswer: 5, 2\/3, -1\/3, -11422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 31)*10\/90*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w**2 - 2*w + 2. Let p(d) be the third derivative of 7*d**5\/4 + 9*d**4\/8 - 9*d**3\/2 - 11*d**2 + d. Give -4*p(f) - 54*q(f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 219023, 875972, 1970849, 3503654?\n\"Answer: 218964*t**2 + 57*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*m**3 - 2*m + 11186*m**2 - 3*m - 11185*m**2 to z*m**3 + r*m**2 + n*m + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 200485.8 millimeters in centimeters?\nAnswer: 20048.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3101.5 - 3128.5. Which is the nearest to -1\/34? (a) z (b) -4 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 49. What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and -0.81749541.\nAnswer: -0.88749541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 37 = -3*a, 0*a = a + 2*h - 12. Suppose -42 = 4*j - a. List the prime factors of (-2 - -4)*-1 - j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/6 + -3. What is the closest to 2\/3 in -0.5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -85*((-1)\/(4\/544) - (-2)\/2)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/34*(-8)\/(-130)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.5, 462.86, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93429576263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 8 = 15*o. Let i be -8 - 20*15\/(-40)*4. Solve -3*k + 2*j + i = 0, 0 = -0*k - o*k - 2*j + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197 + -169. Suppose -3*b + f + s = 0, 0*b - 3*b = -4*f - 31. Solve -1 = -h - 0*h - l, b = 3*h + l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/3 - 665188*w\/3 - 2660816\/3.\nAnswer: 4*(w - 166301)*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*-11071115\nAnswer: -23249341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**4)\/j*j**(-2\/13)*j*(((j**(-1\/4)\/j)\/j)\/j*j)**30*j**0*j**5\/j*(j\/(j\/j**(3\/2)))\/j**5 assuming j is positive.\nAnswer: j**(-808\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -5*f. Suppose -4*g = -d - f, 3*g - 5*d + 19 = -0*d. Let j(o) = 2*o - 2. What is the smallest common multiple of j(3) and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 217*x**2 + 49*x. Let a(c) = 9*c**2 + 2*c. Suppose 5*q + 20 = 4*l + 2, -5*q = -2*l + 14. Give l*n(o) - 49*a(o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205354.\nAnswer: 2, 102677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -19814*t**2 - 84*t + 81. Let d(c) = 6606*c**2 + 28*c - 27. Let m(o) = 3*b(o) + 8*d(o). What is the second derivative of m(j) wrt j?\nAnswer: -13188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254783181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 48*y - 130. Let a be d(-45). What is the remainder when 47 is divided by (-7)\/3*(a + -2)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8*v - 16 = 0. Suppose -2*z = -0*z - v. Which is the third smallest value? (a) -3\/2 (b) z (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**2 - 14*v + 2. Let b(z) = 2*z - 4. Let h be b(-3). List the prime factors of j(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-9))\/(6\/18). Put i, -17, 2, -3 in decreasing order.\nAnswer: 2, -3, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-3)\/(42\/4). Let x = -36 + 36.1. Which is the closest to 2\/7? (a) n (b) -4\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 8. Suppose -a*b - h + 4*h = -44, 5*b - 93 = -h. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(-6)\/((-24)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -531631 less than -3?\nAnswer: 531628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133604 and 13676?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-79068)\/21)\/(-4) - 14\/49 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Let l(a) = a**2 - a - 2. Let q(p) = -6*p**2 + 5*p + 1. Let k(u) = 10*l(u) + 2*q(u). Let h(t) = -1. Let j(y) = -6*h(y) + k(y). Give o(j(n)).\nAnswer: -4*n**4 - 48*n**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1397.77371 to the nearest integer.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 185*h**2 + 4 - 385*h**2 + 198*h**2 + 0*h**3. Calculate t(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28056 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1905102670 and 1565?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/171)\/((-24)\/(-9))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2205)*1 + -1*sqrt(2205) + -4 + -4)**2.\nAnswer: 1008*sqrt(5) + 19909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180497*i + 4014750 wrt i?\nAnswer: 180497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(2) + 0) - ((((sqrt(180) - 3*sqrt(180)) + sqrt(180) - sqrt(180))\/sqrt(9))\/sqrt(10))**2) + -4.\nAnswer: -12 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 + 123451 - 18*i**2 - 123451 - 4*i**3 + 7*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/2 at most 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1044\/(-54)*(-3)\/4. Let j = -13 + u. Which is the second biggest value? (a) -16 (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*b + 1923 + 1324 + 1857 = -230*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(sqrt(1300) - (-1 + sqrt(1300))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 - -75. Let v = -26 - o. Suppose -3*z + 2*z + v = 0. What is the remainder when 62 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44454879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59199509 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 6, 8 in decreasing order.\nAnswer: 10, 8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -1360.\nAnswer: -1360.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srssosscr. Give prob of sequence ssrc.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 1252*p + 84 = -1250*p, -3*k - p - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34538.2ml?\nAnswer: 34.5382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-3)*t**(-2\/3)*t*(t**(2\/11))**(-5\/3) assuming t is positive.\nAnswer: t**(-65\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2450\/(-4)*-11*(-120)\/(-75). Suppose o - y = -5*i, 15072 - 4302 = 5*i - o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1007*w = -965*w - 294. Which is the fourth smallest value? (a) -19 (b) -8\/3 (c) 2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 1. Let j be w(4). Suppose -4*s + s - 5*i - 31 = 0, 2*s = 2*i + 6. Let p be ((-15)\/(-5) + s)*30. Calculate the greatest common factor of p and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*j = j - 12, 6 = 2*o - 2*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/4 - 4368*i**3 - 38167583*i**2\/2 - 38154480*i - 76300225\/4 = 0.\nAnswer: -8735, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 15.5, -116 in descending order.\nAnswer: 15.5, -5\/2, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 10180210*v - 25909168911025.\nAnswer: -(v + 5090105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6530 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97947 greater than 293845\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -150507 less than or equal to -150510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 997032870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - 22472106?\nAnswer: -22472070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeaeeeeeeeee. Give prob of picking 3 e.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/9))**14)**(-15)\/(((h\/(h\/(h\/(h\/(h**(2\/5)*h)))))\/h)**(-8)*h*h**(-7)*h*h**(-5)*h) assuming h is positive.\nAnswer: h**(-517\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + t + t + (33 - 23 - 19)*(-20*t + 8*t - 31*t) - 3*t + 4*t + 0*t + 2*t - t + 0*t + (-4*t + 4*t + 2*t)*(0 - 3 + 1).\nAnswer: 384*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3292, 5, 1\/89, 0.3, 4\/3.\nAnswer: -1\/2, 1\/89, 0.3, 4\/3, 5, 3292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s*s**(-1\/4)\/s)**(2\/45)*(((s**4\/s*s)\/s*s)\/(s*(s\/(s*s\/(s\/(s\/((s**2*s)\/s))*s*s)))\/s*s))**(2\/43) assuming s is positive.\nAnswer: s**(19\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q + 2. Let j be h(-4). Let m be j + (-116)\/(-4) - -3. Is m\/10 - (-1 - 90) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 11*v = -8*q + 11, 2*q + 193 = -29*v + 164 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -118?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 148*v**2 - 42*v + 45. Calculate the remainder when p(1) is divided by 108.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 7) to base 3\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j**2 + 0*j + (1 - 1 - j)*(-4*j + j + j) - 118*j**2 - 18*j + 18*j)*(2*j**2 - j**2 - 2*j**2).\nAnswer: 115*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 19 - 7, 22 = 2*m + o. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78437 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c - 3. Let g(r) = r + 1. Let k(a) = -a**2 - 5*a. Let z be k(-4). Let v be 6*((-1)\/(-12))\/(2\/z). Let b(h) = v*m(h) - 6*g(h). Give b(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -866609 + -4?\nAnswer: -86660d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let x be f(6). Suppose x = z + 3. Differentiate -d + 3 + z - 6 with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let t(k) = -15*k**3 - 11*k + 12. Let u(s) = -22*s**3 - 16*s + 17. Let c(p) = -7*t(p) + 5*u(p). Determine 3*a(o) + c(o).\nAnswer: -5*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -50. Let j = y + 25. Suppose 4*h - 12 = k, k + 2*k = -j*h - 4. Solve 4*i = h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 8, -3*t + 1373 = -2*k. Suppose -14*u + t = 137. Suppose h - 3*p + 4 = 0, -3*h - 2*h - p = -28. Solve i - 2*i = -h*o - u, 0 = -i - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 303 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = -3*r. Let o(n) = 9 + 9 + n**2 + 9 - 29 + 7*n. Determine o(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-16*s - 29*s + 25*s)*(106*s**4 - 10*s**4 - 28*s**4).\nAnswer: 4080*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1215 (b) -32241 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-55 - (-8996)\/182).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240 - -242. Let p(l) = l**2 - l + 4. Let z be p(3). What is the greatest common divisor of z and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10188*i**3 - 6624 - 4047*i**3 - 1814*i**3 wrt i?\nAnswer: 12981*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*w - 21919 = -11552 + 20186 + 27680 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1451065 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 4:10 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*j = 0, 5*h = -2*j - 0*j - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -642 - -729. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 301\/5. Is 1 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 + u**4\/3 + 7*u**3\/6 - 7*u**2\/2 + u. Let k be (-34)\/(-10) + (-6)\/15. Let z = 8 - k. Calculate g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*a + 6*a**2 - 24*a - 4 + 6 - 17*a**2 to the form v + m*a**2 + t*a and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145*d**4 + 1496*d wrt d?\nAnswer: 1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22387 and -0.2.\nAnswer: -4477.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 49. Let c be w(18). Put -1, 19, c in descending order.\nAnswer: 19, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbcebuuocnubbenbbo. Give prob of sequence bcb.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.5, -25\/4, -1951, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5626 - 5624.2. Let u be (80\/(-39) - -2)*3. What is the third biggest value in -3, u, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 793 divide 13826299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - 0.26. Let d = g + 0.319. What is d rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s - 2*s**2 - s**2 - 136*s + 2*s**2.\nAnswer: -s**2 - 115*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p + 35 = -46*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*f = 1687 - 913 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:03 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 864347537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**(-5\/17)\/((h*h\/h**(-7))\/h**(4\/11)) assuming h is positive.\nAnswer: h**(-1450\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*c**4 - 3*c**3 - c + 4*c**4 + 0*c in the form l*c**2 + v*c**3 + w*c**4 + r*c + f and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, 0, -12, 3 in ascending order.\nAnswer: -12, 0, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(128)*-2.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*l + 7. Let x(b) = 1 + 0*b**2 - b**2 + 5*b**2. List the prime factors of x(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + g - 7 + 5 - 3.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3 + 3 + 3*s - 2*s**3 - 2*s**2 - 3. Suppose -12 + 2 = 5*c. What is the units digit of h(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431 + -198. Let k = n + -146. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -786, -259868 in descending order.\nAnswer: -5, -786, -259868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.31 - 1.11. What is the nearest to -2 in 1, 2\/3, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26250.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 118*l - 2. Let j(q) = -1305*q + 1. What is c(j(y))?\nAnswer: -153990*y + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*(-2)\/2)\/(1 - 0). Let v be (-141 - 4\/(-4))*1. Let g be (24\/v)\/(3\/30). Are g and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1464 and 5015176.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/38 and 61\/5358.\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 10:26 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404352186.\nAnswer: 2, 3, 7, 19, 47, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 394895 < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*((p\/p**(-1\/3))\/p)\/p*p)**(-1\/14)*p**6\/p*p**6)\/(p**(3\/7)*p\/(p\/(p\/(p*p**2*p))*p))**(7\/8) assuming p is positive.\nAnswer: p**(2333\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14575.\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -75443059*1\nAnswer: -75443059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d3d9b + -5?\nAnswer: -1d3da2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(1 + 4\/(-3)). Suppose 17*k - 22*k - 2373 = 4*y, 2*k + 5*y + 956 = 0. Let z = k + 482. Calculate the highest common factor of z and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 8*k**2 + 58*k - 404. Give p(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-560)\/6 - (-3)\/9. Let l = 207509\/37350 + -1\/4150. What is the common denominator of l and (0 - -1) + y\/(-15)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30121203232 (base 4) in base 3?\nAnswer: -20010010201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301024 (base 6) to base 13.\nAnswer: 41272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1055, 3898, 8523, 14930?\n\"Answer: 891*u**2 + 170*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/13)*y**(-2\/39)*y**(2\/19)\/((y\/y**(-6\/5))\/y) assuming y is positive.\nAnswer: y**(-5956\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107303 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 9566, 3295.\nAnswer: -8, 3295, 9566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j - j)*(-1 + 0 + 3)*(3*j - 5*j + 4*j)*(-j**2 + 0*j**2 - j**2).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from {j: 3, w: 1, p: 5, g: 1, t: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -7)*(-1)\/(-4). Is 19 a factor of -2 + 4 + p + 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*f - 4069540 - 4022375 = 0. What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 2*a**7\/105 - a**3\/6 + 5*a**2\/2 - 11. Let z(j) be the second derivative of r(j). What is the derivative of z(d) wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 2:01 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -464*a. Let u(p) be the third derivative of -2*p**4\/3 - 1709*p**2. Determine 6*l(s) - 176*u(s).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 r when four letters picked without replacement from rrrhrrrrhhr?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 5566*n + 284024.\nAnswer: 2*(n - 2731)*(n - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 19*m - 22. Let v be c(-8). Let x = -3 - -6. Suppose -3*p - x*d + 123 = -0*p, -5*d + 97 = v*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, 0.5, 0.1, 34, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 12. Suppose 0 = -8*s + 4*s. What is the units digit of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(832) - (sqrt(117) + 2)) + (2 + (-5*sqrt(13)*-6)**2)*4)*-5.\nAnswer: -234020 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*s - 35597 = -123*s - 5824 + 18411 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -4\/5 (c) -1 (d) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -210*l**2 - 421*l + 1. Determine s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 84819*x.\nAnswer: 3*x*(x + 28273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143088 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 17 = -8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -222012220220 (base 3) to base 8\nAnswer: -1757753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwuwovoomumwwmmmmmoo. What is prob of picking 1 u and 1 m?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q**2 + 4*q - 5. Let d be w(10). Suppose 3*p = -4*v + 5*v + d, 2*v = -4*p + 1230. Suppose -4*t + 78 + p = 0. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:19 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098727.\nAnswer: 7, 17, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 - 5*j - 3407. Let n = 1 + -1. Give t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 42*j**3 - 40*j**3 - 4*j**4 + 83*j**3)*(7 - 3 - 2).\nAnswer: -8*j**4 + 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -1986340?\nAnswer: 9\/198634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 2*g**2\/7 - 1290*g\/7 - 13050\/7.\nAnswer: 2*(g - 29)*(g + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 122*p**2 + 7*p + 7. Let o be i(-1). Let r = o - -166. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-598))\/(1\/2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 1, l: 5, o: 2, u: 10}. What is prob of picking 1 n and 1 b?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20c6 - -1479?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29384 divided by 7346\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4972*108124.\nAnswer: -53759.2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 233702 (base 12) in base 8?\nAnswer: 2121462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-620 + 703 + 764 + 1051 - 401 + 997)*(-1046 + 1046 + 20*i**2).\nAnswer: 49880*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (199 + 2)*(-7 + 222\/18)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649440 a multiple of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/4 + w**3\/3 + 49*w**2\/2 + w + 5. Differentiate d(f) wrt f.\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61588 and 890.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43177 smaller than -43180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exhgreggfhhx. What is prob of sequence re?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, 237, -26.\nAnswer: -26, -1, 17, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6415\/1744 - -108\/109. Calculate the common denominator of l and -69\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110203023 - 112030?\nAnswer: -110321113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 5*v - 4. Suppose 80 = 7*n + n. Suppose -n*z + 9*z + 5 = 0. What is j(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {v: 3, m: 6, x: 2, k: 2, f: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 = -4*h - 145. Let a = -148 + -7. Let f = -147 - a. What is the remainder when h is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(9 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 - 13.4. Let d = n + 16.82. Let k = -0.08 - d. Which is the smallest value? (a) k (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2582*n**3 + 2*n**2 - 8*n + 5. Is o(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*u + 1720 - 1430 - 7397 = 10*u for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 30 = -5*t. Let x = 10 + -6. Suppose 39 = 3*q - 4*g, -3*g + x + t = q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2 - 29. Let k(j) = 9*j**2. Calculate k(d(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1124 + 1244. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/6)*f\/(f**(1\/7)*f*f)*f*f**(2\/11)*f\/(f*f**(-5)*f))\/((f**(-2\/17)\/(f**(-2\/3)\/f))\/((f*f**(-1\/6)*f)\/(f*f\/f**(-4)))) assuming f is positive.\nAnswer: f**(-1104\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1 + -2 + -10 - ((37 - 74) + 103))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**3\/6 + 7*x**2\/2 - 3*x. Let f(o) = -o + 3. Calculate the remainder when f(2) is divided by i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 + 36*h\/13 + 38\/13.\nAnswer: -2*(h - 19)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 22 = -27. Find c, given that -3*c + 2*c**3 - 60 + 60 + 6*c**2 - p*c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*o + 25. What is the least common multiple of 4 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -12. Let t = z - 16. Suppose 2*n - t*n + 32 = 0. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*k**3 + 39*k**3 - 17*k**3 + 2*k**4 - 6*k - k**2 - 6*k**4 wrt k?\nAnswer: -96*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 3*z**2 - 5*z**2 - z**3. Suppose 3*n + 16 = -20. Let c be y(n). Solve c*f - 2*f = 4*t + 2, 5*t = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/4)\/(12\/(-2130)) a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryurruyrvurrv. Give prob of sequence yr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -3*b**5\/20 + 4*b**3\/3 + 14*b. What is the second derivative of m(y) wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11420031241 (base 5) to base 14.\nAnswer: -1adbb35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*m + 2868*m - 987*m - 948*m - 8 - 3.\nAnswer: -3*m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 6*c**2 + 4 - 8*c**2 - 3*c**2 - 5*c**2 as k*c + r + w*c**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -47 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 + 163. Let d(y) be the second derivative of -y**3\/6 + 2*y**2 + y. Let s be d(c). Let l(m) = -m - 1. Give l(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53+-192454471\nAnswer: -192454524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i + 3*v + 52, -16 + 89 = 2*i - 5*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + o**2 - 31793*o + 2 + 31793*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z**2 + 0 + 0. Let l(c) = 75 - 75 - 60*c + 27*c + 34*c. Determine l(j(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109.972 - -0.028. Let i = a - 109.9999874. Round i to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2889, -7, -3\/7, -1, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 13. Let w(t) = 16*t - 66. Let l(n) = -11*c(n) - 2*w(n). Let u be l(10). Let m(b) = -2*b**3 + 2*b**2 + b. Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 129?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 199, 411, 687, 1015, 1383?\nAnswer: 1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51589322 and 4403?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 - 41858*a**3\/3 + 145532519*a**2 + 29833954636*a\/3 + 508001158564\/3.\nAnswer: (a - 20963)**2*(a + 34)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 96382.\nAnswer: 481910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 4:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17*(4 - (-2 - 3 - -17)). Let b = f - -138. Factor 21\/4*y**b + 0 - 9\/2*y + 9\/4*y**3.\nAnswer: 3*y*(y + 3)*(3*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**7\/350 - 13*y**6\/600 - 7*y**5\/150 + y**4\/30 + 4*y**3\/15 + y**2. Solve m(h) = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*i - 637*i + 3087 - 727 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 3*u**2 - u. What is the remainder when (-673)\/(-9) + 2\/9 is divided by h(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o + 4. Let c be i(-6). Suppose 0 = -0*b - b + c. What is the remainder when 30 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -32. Suppose n = 11*q - 10*q - 5. Suppose -68 - 127 = -q*j - 5*t, 3*j - 116 = -2*t. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1541 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - 27) - (800 - 765)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63842239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 0.4, -3, 1\/5, -5 in ascending order.\nAnswer: -5, -3, 0.11, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7681050 divided by 9?\nAnswer: 853450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011884612 to 6 decimal places.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 0.5, 0.4, -0.2, -0.26, -12, -2\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Is 11 a factor of 3 + (1 - h) + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + 2*t - 276, 645 = 5*m - 4*t. Calculate the greatest common divisor of m and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-7) + (9 - (-1112)\/(-448)) and 81\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*z - 28, 2*s + 35 = 5*s + 5*z. Suppose 15 = s*j - 2*x, 6*j - j = 3*x + 10. What is the least common multiple of j and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -23\/5, 5, 11, 0.01891, -1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:06 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3\/210978187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*n - 535153, 58*n - c = 63*n - 535156. Suppose -31*w + n = -300526. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -97, 0.11 in descending order.\nAnswer: 0.5, 0.11, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 11 - 31)*(11*l**4 + 10*l**4 - 4*l**4) + (0*l + 3*l**3 + 0*l)*(3*l - 3*l + l) to v*l**2 + f*l + u*l**4 + b*l**3 + a and give u.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3.8 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 45*y**2 - 80*y + 122. List the prime factors of x(-37).\nAnswer: 2, 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545 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: Simplify ((g**6)**(-10\/13))**(-21\/5) assuming g is positive.\nAnswer: g**(252\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -28. Sort 4, d, -3 in ascending order.\nAnswer: -3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 237. List the prime factors of u.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 23*l**6\/10 - 49*l**2\/2 - 118*l. Find the first derivative of p(a) wrt a.\nAnswer: 276*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518926.\nAnswer: 2, 23, 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3400415 - 34?\nAnswer: -3400452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3141 is divided by 110.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (53\/(-4))\/((-3)\/12). Suppose -2*j + g - 1 = 0. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-9)*12\/16. Differentiate 3 + 6*n**o + 6 + 1 - 1 with respect to n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16937*f**2 + 6*f - 3. Let d(a) = -a**3 + 6*a**2 - 3*a - 4. Let v be d(5). Let g be i(v). Let t = g + -1609765. Round t to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 9*z + 24. Let c be j(-11). Let m = -12.4 - -17.5. Let d = m + -5. What is the closest to d in c, -1\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 3:25 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 2561*a + 5126.\nAnswer: -(a - 2563)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 16*p + 40. Let v(u) = 2*u**2 - 32*u - 81. Let s(z) = 5*h(z) + 3*v(z). What is the remainder when s(20) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-1 + -3)) + -12 + 32 + 14\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 136\/(-51)*9*(-2)\/39. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*d**4 - 12*d - 1 wrt d.\nAnswer: 1992*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1803, 3621, 5445, 7275, 9111?\nAnswer: 10953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 - 7*s + 11. Let h(u) = 6*u**2 - 8*u + 13. Let b(d) = 7*f(d) - 6*h(d). Let v(y) = -13*y**2 - 5*y - 3. Give -5*b(z) + v(z).\nAnswer: -8*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1720\/(-2580)*(-51)\/(-2 - -3)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -24 + 26 - (0 + 0). Let o(a) be the first derivative of 0*a - 2\/3*a**3 + 12 + 0*a**v. Let f(h) = -17*h. Give f(o(u)).\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*b = 0, -4*b + 10 + 0 = 3*u. Suppose 0*t + t = -5*x + 23, -2*x = 5*t. Calculate the least common multiple of u and ((-20)\/(-1))\/((-2)\/t).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 13, r: 6}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + 3) - (34 - 28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 + -195. Solve -14 = -4*j - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*h - 48 + 40, 5*w = 2*h - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:49 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q + 33. Let b(y) = 3*y + 19. Let w(r) = 5*b(r) - 3*m(r). Let t(h) = 5*h**2. What is t(w(d))?\nAnswer: 45*d**2 + 120*d + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 765504961*p**3*r - 232745*p**3*w + p*r*w - 24*r*w wrt w?\nAnswer: -232745*p**3 + p*r - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 - 4*y**3\/3 + 2*y + 2. Suppose -1 = -k + 4. What is the units digit of z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3783 or 3865?\nAnswer: 3783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 + 24?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -3, -16, -45, -96, -175, -288, -441?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 14, o: 1}. What is prob of sequence ou?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*w**3 + 2*c**3*w*z - 35*c**3*z - 17*c*w**2 + 8*w**3*z wrt w?\nAnswer: -42*c**3 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**3\/6 + 10*m + 47. Let z(d) = -2220*d - 2. Determine k(z(a)).\nAnswer: -2220*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 13. Suppose 20 - 100 = -5*a. What is the remainder when 10 is divided by r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*c = -5 - 45, 0 = 4*p + c - 61. Let m = 22 - p. What is the third derivative of m*u**5 - 6 + 10*u**2 + 6 + 9*u**2 wrt u?\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 4*n**2 + 5*n - 2. Let l be d(3). Let x(g) = g**2 - 2*g - 5. Let v be x(l). Suppose -v*w = w. Solve j - 1 = -w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4)**(-33\/4))**(-18) assuming v is positive.\nAnswer: v**594","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 11}. Give prob of sequence vvk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338116 and 632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 5. Does 17 divide r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, 1, -30, -6, -2, 3, 0 in increasing order.\nAnswer: -193, -30, -6, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 1. Let f(g) = -21*g**2 + 18. Let l(r) = -f(r) - 18*w(r). Let s(b) = 8*b - 37*b + 30*b. Determine l(s(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1) + 0 - -2. Suppose -p*r + 523 = -652. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (96\/(-15))\/((-56)\/(-480)). Let s = 9334\/175 + d. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3919 (base 11) in base 14?\nAnswer: -1c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2485 + -26428?\nAnswer: -28913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*l + 474*l = o - 9, 0 = -16*o + l + 84 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfv. Give prob of sequence fx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*l + 20, -2*c - 2*l - 10 = 2*c. Let h be 0\/(3 - (c + 1)). Suppose h = t - 2*g - 143, g + 1 = -1. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 1, w: 11, k: 3, n: 1, u: 1}. What is prob of sequence kabu?\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7 - 65. Let u = -15 + n. Determine v so that 0*v**5 - 7*v**2 - 6*v + 4 - v**2 - 6*v**5 + 4*v**4 + 12*v**u = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3171298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -2)*1\/3. Let w be ((-32)\/(-12))\/8 - (-53)\/21. Is w < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-795)\/(-1908) - 30\/144*-70.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 171*t - 6 + 6 to m + v*t and give v.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 712 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0 + 3 + 2*j + 4*j**2 - 2. Let b be (1\/(-4)*-4)\/(-1). Calculate g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - 14452*g**2 + 0*g**4 - 8*g**4 + 14453*g**2 + 4*g + 2*g**3 in the form b*g**4 + h*g**3 + i + p*g**2 + f*g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5887605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445833261 is divided by 5002?\nAnswer: 5001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -6*d + 18, 16355*d + 5 = 16356*d for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. Let h be o(-5). Let m = 10 + h. Let z(q) = 5*q - 1. Let r(j) = -3*j + 1. Let p(c) = c. Let w(t) = -3*p(t) + r(t). Determine m*w(i) + 7*z(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.1 (b) 18 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 20*l - 80 = 0. Sort 1, -1, 5, l.\nAnswer: -1, 1, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -168. Sort 1, w, 12 in decreasing order.\nAnswer: 12, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10990000 rounded to the nearest one hundred thousand?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4524? (a) -567.4 (b) 0.2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7, y: 2, e: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -28 + 6*b**2 + 2\/3*b**3 - 14*b. Factor z(w).\nAnswer: 2*(w - 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 + (-12 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-2)\/5 + 0. Let i be (-2)\/(-3)*(-57)\/(-6). Let p = -23\/3 + i. Which is the second smallest value? (a) 2 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -70319*k - 632781. Let y be b(-9). Factor y - 5\/2*h**2 - 40*h.\nAnswer: -5*(h - 2)*(h + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24831 - -12416?\nAnswer: 37347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 18052562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 397725153 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732, 113, -504, -1119, -1732, -2343?\nAnswer: -2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, r: 1, i: 1, t: 1}. What is prob of sequence ri?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*j + 5*m, -2*j + 5*m - 115 = -7*j. Solve 13*c - 1 + j = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let u be -1 + 6 + -6 + 3. Find the second derivative of -5*a**m + 3 - 3 + u*a**4 + a wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 2. Let p = 132.7 + -196.6. Let i = p - -64. Sort i, 1\/8, j in decreasing order.\nAnswer: j, 1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000336 to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 822840729 a multiple of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftw when three letters picked without replacement from yyaafwfytytayattaayy.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -14. Let q = 41 + -38. Let w = -1\/8 + -1\/8. What is the closest to w in q, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**6\/6 + 139*g**4\/4 + 5*g**3\/3 - 43*g**2 + 464. What is the third derivative of a(x) wrt x?\nAnswer: 60*x**2 + 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 + 290*t**3 - 9*t**2 + 25*t - 24169247 with respect to t.\nAnswer: 8*t**3 + 870*t**2 - 18*t + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -334\/7, 2\/9, -1, 1\/2 in ascending order.\nAnswer: -334\/7, -30, -1, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 31*b**2 - 1 + 5*b - 6*b + 0 to c + u*b**2 + p*b and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 3, a: 1, j: 2, d: 4, g: 7}. Give prob of sequence drd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 26*i - 6. Let c be m(-9). Solve -4*s + 15 = -5*l + s, 3 = -c*l - 3*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from {h: 5, w: 2, t: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150947279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kopkpksk. Give prob of sequence kk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/60)\/(10\/(-1420)) and -101\/22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(153) + -2*sqrt(153) - sqrt(153)))\/sqrt(9))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j. Is -0.3 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*c + 0*c + 592 = 0, 2*c = -5*j + 728. What is the least common multiple of 472 and j?\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**5\/20 + g**4\/2 + g**3\/2 + 2*g**2 - 2*g. What are the prime factors of m(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001010111100001011 - 1100110?\nAnswer: 111001010111010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y. Let u(s) = -5*s**2 + 63*s - 63*s. Give o(u(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 10) to base 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*n - 3724 + 1867 + 1871 - 454*n.\nAnswer: -3*n + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*r - 3*r. Let t be (-722 + 720)*2\/(-4). Sort t, -27, r in ascending order.\nAnswer: -27, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -3\/55 (c) -0.1 (d) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357ba (base 14) to base 11.\nAnswer: 8a060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55.00233mg?\nAnswer: 0.05500233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 14*k - 10. Let p be y(15). What is the first derivative of 20 - 24*w**2 - p*w**3 + 0*w**3 + 20*w**2 wrt w?\nAnswer: -15*w**2 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 640 - 642. Let s(j) be the first derivative of 10*j**3\/3 + 3*j**2 + 3*j - 1. What is the tens digit of s(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 5. Let c be -9*-4*(-1)\/36*-3. Suppose 16 = -w - 5*x, -4*w + x + c*x + 56 = 0. What is the remainder when n is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1143 and 10\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 5498505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -18 (b) 0.1 (c) 3 (d) 2\/21 (e) -496\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*f + 4*r + 1, -3 = -f - 3*r. Suppose 18 - 6 = 3*m. Solve m*c + 2*l = -0*l - 12, 0 = -5*c - 5*l - f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60636, -60637, -60638, -60639, -60640?\n\"Answer: -u - 60635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 13*u**2 + 27*u - 39. What is the remainder when 454 is divided by g(14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -32. Let p = 14.6 + a. Let w = -2.96 + -0.04. Sort w, -0.5, p.\nAnswer: w, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.85 - 3. Let j = f + 0.1482. What is j rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/5 + 17226*t**2 - 123639615*t = 0. Calculate t.\nAnswer: 0, 14355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21535080 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7435, -2, -449.\nAnswer: -449, -2, 2.7435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -9*z**6\/5 - z**5\/10 + 932*z**3\/3 + 3478*z. Find the second derivative of k(a) wrt a.\nAnswer: -648*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-594)\/45 - 2\/(-10). Let x = 13 + i. Let t be (x + (-2)\/2)*-6. Solve -f = f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-3))\/((-45)\/54). Suppose 2*p + 5*m = -g, 2*p - 5 = m + 5. Suppose 6 = -p*a + 30. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00685866922 rounded to five decimal places?\nAnswer: -0.00686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -2.579, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*(sqrt(102) - (1*sqrt(102) + sqrt(102) - sqrt(102))))\/(sqrt(48)\/(sqrt(288) + sqrt(8))))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30116 (base 9) to base 16.\nAnswer: -4d43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.4, 11, -0.2.\nAnswer: -0.2, 0.1, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1214455*j**3*l**2 + 295*j**2 - 3*j*l**2 - 86*j wrt j?\nAnswer: 7286730*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -148*x + 20770. Give t(139).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10152, 20294, 30436, 40578?\n\"Answer: 10142*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -530, -597, 274, 2551, 6702, 13195?\n\"Answer: 78*r**3 + r**2 - 616*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -4 (c) -11\/820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**40*c)\/c))**(-4\/7)\/(c**(-1\/23)*c**(1\/20)) assuming c is positive.\nAnswer: c**(73579\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -10. Suppose -d + 34 = 3. Let c = d - 29. Solve 2*n + c*n - 4 = v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/5 + 421*y**2 - 44538*y\/5 + 229608\/5 = 0.\nAnswer: -2126, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -7*j**5\/40 + 8*j**3\/3 + 11. Let u(c) be the third derivative of y(c). Let q(r) = -4*r - 6*r + 11*r. Calculate q(u(m)).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, o: 9}. Give prob of sequence fofo.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-20))**(-39)\/(g**2)**(-1\/16) assuming g is positive.\nAnswer: g**(5929\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e0 - -50a1?\nAnswer: 4fc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-16) - (-4595469)\/(-552). What is u rounded to the nearest one hundred?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from pxxcnncpvucnp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -235, -261, -305, -373, -471, -605, -781?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/28 + 15\/4. Suppose -60 = -2*m + 4*d, 4*d + 0*d = -p*m + 90. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*b = 4 + 4, 3*j - b - 23 = 0. Suppose j*a = 2*a + 8. Suppose -a*p - 4 = -4*p. Solve -2 = i, -p*d + 5*i - 1 = -15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.71 - 519.29. Let m = i + 529.7. Put m, -1, -0.34 in increasing order.\nAnswer: -1, -0.34, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8*r**3 + 8 + 66*r**3 + 20*r**3 - 8*r**3 to t*r + n*r**3 + f + z*r**2 and give n.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 2)*(-97)\/(-11). Let u = k - -62. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + g + 13 = -0*g, 16 = 4*p - 4*g. Let h be 4 - 2*p\/6. Let t be (18\/(-30))\/(3\/(-60)). Solve -h*n - n = t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1620) + sqrt(1620)*-6)*1)\/(((sqrt(450)*-1)\/sqrt(9))\/(-4*sqrt(180))))**2.\nAnswer: 83980800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.3225 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/37 + -3801\/370. What is the common denominator of 22\/3 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 80*l - 2450. Calculate k(33).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 - 0.22. Which is the closest to u? (a) 0.2 (b) 0.4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:45 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603574.\nAnswer: 2, 47, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6747308 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13479077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**8\/3360 - y**7\/840 + y**5\/120 + y**4\/48 + 11*y**3\/6 - y**2. Let j(i) be the first derivative of h(i). Factor j(m).\nAnswer: -(m - 1)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by ((-8)\/(-20))\/((-3)\/(-150)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -356*q**2 + 700*q + 22. Determine w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 - 18*y - 33. Give v(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 7\/((-14)\/320). Let g = i + -159. Solve 3*w = g*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54.43 + -0.43. Let p = 63.5 - a. Round p to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71174 = -0*o + 2*o. Suppose 300*w - 133044 = 312*w. Let j = o + w. What is j rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 - 0.4. Let j = 0.14 + f. Which is the third smallest value? (a) 2 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1478186*o**2 + 2449351?\nAnswer: 2956372*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617783.\nAnswer: 173, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680824 is divided by 37819?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429445?\nAnswer: 5, 85889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 = 4*w - 12, 0 = -2*w - 2*c - 4. Suppose 4*t - 245 = -5*r - t, t = -w. What is the remainder when r is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 32 = -2*w, -9445 = 3*w + 4*o - 9504 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 - 938 + 4*v**2 + 935. Let c(w) = -36*w**2. Calculate q(c(a)).\nAnswer: -3888*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28881 + -28874. Solve 132 = b*g + 111 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 448, 1801, 4054, 7207?\n\"Answer: 450*y**2 + 3*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9397 is divided by 2334?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.3. Let v = -0.1 + t. Let s be (-4 + (-240)\/(-57))*(-2)\/(-4). Which is the biggest value? (a) v (b) -7\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5075\/2 - 2488. Is s at most 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 10) + 8 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60.19 - 58.19. Put q, 2\/5, -1\/6, 0.9, 8 in descending order.\nAnswer: 8, q, 0.9, 2\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 22*j + 393 = 0. Suppose 23 = 7*r - j. Solve -2*p = 4*x + r, 0 = -x - 0*x - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1532, 1483, 1402, 1289?\n\"Answer: -16*j**2 - j + 1549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from zznnbbnnnz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 11 + 11 - 29. Let b = 1 - -8. What is the smallest common multiple of q(-11) and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 25. Let s(u) = -3*u**3 - 4*u**2 + 4*u - 5. Does 26 divide s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -1503 - 541. Is -147 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -433, -867, -1301, -1735, -2169?\n\"Answer: -434*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/120 - n**5\/20 + 7*n**4\/24 + n**3\/2 - 26*n**2. What are the prime factors of q(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 166. Suppose -3*f = -0*f + h. What is the tens digit of (-84)\/f*(-30)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13218084 (base 9) to base 14.\nAnswer: c15951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71794.99 - -0.1.\nAnswer: -71794.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1233002 (base 5) to base 4\nAnswer: -11320333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 388399135.\nAnswer: -388399136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453712000 rounded to the nearest one million?\nAnswer: 454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*sqrt(51)\/sqrt(3)*-4)**2 - (sqrt(187) - (sqrt(187) - -5*sqrt(187)*-1))\/(sqrt(11) + -6*sqrt(176)).\nAnswer: -17408 + 5*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-7)\/2))\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 12*v - 1114. Let u be (-2)\/4*(-18 + 0). Calculate the greatest common divisor of u and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54800 is divided by 10549?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1152 - -2.0652. Let g = 3.5 - 1.9. Let y = -2 + g. Sort z, 4, y in ascending order.\nAnswer: y, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + u = 2*u, 2*m - 4*u - 14 = 0. Solve 3*i = 0, 0 = -0*a - a - 5*i - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36675852 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136290 and 354?\nAnswer: 136290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3649653 divided by -21.\nAnswer: 173793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4360 by 2.\nAnswer: -2180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 400*v**5 - 121*v - 18. Let a(k) = 133*k**5 - 40*k - 7. Let r(n) = -8*a(n) + 3*i(n). Find the second derivative of r(g) wrt g.\nAnswer: 2720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4803108 + 10?\nAnswer: 4803118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x - 76*x - 78*x - 80*x + 395*x - 78*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16742 - 16742. Let c = -0.5 - -0.8. Let v = -0.1 + c. Sort v, 1\/4, h in ascending order.\nAnswer: h, v, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3422749 divided by -311159.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (384\/28 + -12)\/(40\/105*1\/(-4))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -9*p**2 + 18*p - 1\/6*p**3 + 0. Let t be g(-18). Is t not equal to 1\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 + 1. Let u be v(-1). Suppose 10 + 0 = 5*b, 6 = -z + 4*b. Let y(o) = z*o + u*o - 2*o + 3*o. Let q(m) = 2*m**2. Calculate y(q(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.14, -4, 4\/3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4 - 5*d - 4. Let z(w) = -4*w**2 + 121*w - 22. Let p be z(30). Let j(v) = 9*v - 41*v + 16*v + 7*v + p*v. Give n(j(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, f: 2}. What is prob of picking 2 w?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o - 10*o - 5*o)*(4 - 3 - 17)*(-3*o**2 + o + o**3 - o).\nAnswer: 80*o**4 - 240*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -8. Let k(p) = -x*p**2 + 5 - p**3 + 6*p + 5*p**2 + 0*p**2 - 2*p**2. Let s = -14 - -10. Calculate k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 2501638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*d + 9. Calculate the remainder when (-58)\/(-4) - 2\/4 is divided by 1\/(d\/15 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 4*k - 4*k)*(2 - 2*k - 2)*(-4 + 1 + 2) to r + q*k**2 + h*k and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*p - 24, 0 = -5*p - 4*g + 16 - 4. Suppose -5*v + 5*r = 3*r - 885, -p*v + 705 = -r. Let f = -96 + v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.968829 rounded to 3 dps?\nAnswer: -0.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 51 - 95. Put 13, -3, n, 2 in increasing order.\nAnswer: n, -3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 7*f + 26, -323*f + 323*f + 9*x + 12 = 12*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 77 - 96 - (-13 + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -423320013?\nAnswer: -423320010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3364271, -6728553, -10092837, -13457123, -16821411, -20185701?\n\"Answer: -b**2 - 3364279*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 1. What is the smallest common multiple of 20 and t(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 5:25 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 242240560 divided by -80?\nAnswer: -3028007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2549.8558 + 2519.84. Let w = 0.0158 + i. Sort w, -3, 3\/4 in ascending order.\nAnswer: w, -3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-1)\/((-9)\/162). Let p = -16 + x. Suppose -3*l**p - l - 2*l**3 - 3*l**3 - 3*l + 11*l**2 + l**4 = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 450. Let q(u) = u - 225. Give 5*q(o) - 3*w(o).\nAnswer: 2*o + 225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/120 - t**3\/6 - t. Let c(o) be the second derivative of v(o). Let l(q) = -2*q - 3*q + 4*q. Determine l(c(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*s**6 - 2*s**5 - 3524*s**3 - 32897*s**2 - 9*s wrt s.\nAnswer: -13800*s**3 - 120*s**2 - 21144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.3 - 18091.\nAnswer: -18071.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/24)\/(2\/(-40)). Suppose u = -0*u + l. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*v - 5499, -v = 4*f - 5*f + 5489. Let a = f - 2612. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*c - 16. Let f(r) = -11969*r + 11969*r - 2*r**c. Let i(s) = 9*s**2. Calculate f(i(g)).\nAnswer: -162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 0.3, -14, -3\/7, 8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*k - 126*k + 174*k.\nAnswer: 236*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43785591?\nAnswer: 3, 17, 401, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 102509745 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -13*j**5\/20 + 5*j**2. Let b = 5 - 3. Let r(o) = -o + 2 - b. What is r(k(t))?\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) 4\/6501133 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (3*sqrt(5)*3 + sqrt(5))) + (sqrt(5)*-1 + 0 - sqrt(5)))**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 263778*i**2*m**3*q**3 + 679*i**2*m*q**2 + i**2*q**2 + i*m*q**3 + 3*m**3*q**3 + 3*m**2*q + 2*m**2 - m*q wrt m?\nAnswer: 1582668*i**2*q**3 + 18*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 6\/155 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6304, 24802, 55634, 98800, 154300, 222134?\nAnswer: 302302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 17*a**3 - 16*a**2 + 32*a - 9. Suppose 0*k + 3*k - 30 = 0. What is the lowest common multiple of b(2) and k?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 13*n**3 - 5*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsmmx. What is prob of sequence bs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 99*k + 94*k - 7 = 0, 0 = -360*n - 2*k - 364 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 5, 0.1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/7))**34*v*v**(-6\/13)*v\/v**(-5) assuming v is positive.\nAnswer: v**(2805\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 8513678 to the nearest one hundred thousand.\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10613*j**6*o**2 - 4*j**2*o**2 + 184*j**2 + 9 wrt j.\nAnswer: 1273560*j**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {c: 2, h: 1, j: 3, a: 2, i: 1, t: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*o + 1845 - 12555 = 0 for o.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 2461218*p**3 - p**2 + 2461148*p**3.\nAnswer: -70*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 9. Let i be n(-4). Suppose -2*z + 2*l = 0, -2*z = -4*z + i*l - 9. Is 12 a factor of ((-1)\/(-1))\/(z\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125 + 267a5?\nAnswer: 26680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79462219 is divided by 794622.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-10)*j)\/(j*j\/j**(5\/4))*j*j**(4\/9)*j*(j\/j**10)\/j assuming j is positive.\nAnswer: j**(-551\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -473 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((-4)\/2 - -3). Is k\/(-10) + 664\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -31*o**3 + o**2 + 21*o - 4. Determine a(3).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3173?\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*i, -3*c = -0*i + i - 4. List the prime factors of 4\/i + 44\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-80)\/15. Let a = p - -2. Sort 3, a, -5 in decreasing order.\nAnswer: 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-10)\/30. Suppose q - 8*q + 140 = m. Solve x - q = 4*j, 7*j = 2*j + x - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 159.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 1135 - 2*j - 1114 + 2*j as t*j + n and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**8\/336 + f**5\/10 + 5*f**4\/24 - 36*f**2. What is the third derivative of d(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -307, -482?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101010 - 1110?\nAnswer: 101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23683 is divided by 121?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogjtgo. What is prob of picking 1 j and 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:36 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 - 4*n + 2. Let p be d(-4). Let b(o) = o + 0*o**2 - 4 + 3 - o**p. Let a be (-134)\/(-335) - (-18)\/(-10)*-2. What is b(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (0 + 2))*7. Let l(q) = -3*q + r*q - 8 + q + q**2. Determine l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 229*q**2 - 1577*q - 170. Let g be k(-7). Let j = -0.2 - 2.8. Let h = -3.1 - j. Which is the nearest to h? (a) -3 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/20 - d**4\/6 + d**3\/3 - 2*d. Let o be 53\/424 - (-46)\/16. Give g(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddddrd. What is prob of sequence rdd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + -1 - (26 - (-3 - -35))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13144.53 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 + 5*o - 1. Suppose 17 = 2*z + 5*a, z - 7 = -6*a + 5*a. Calculate b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 3*o - 4. Let c be k(-3). Suppose -c*b - 2*j = -2781, 3*j - 6 = 6*j. Let l = b + -270. Calculate the greatest common factor of 41 and l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/1*12887\/(-167531).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, -55, 3 in descending order.\nAnswer: 22, 3, 1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-6))\/(8\/(-492)). Let l = 3118\/19 - t. Is l at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-980)\/(-28812)*98?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/6)\/((-2584)\/76).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254 and 1852.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -2215, -7461, -17677, -34519, -59643, -94705?\nAnswer: -141361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/13 + 540\/(-39). Let b = 3 + x. What is the least common multiple of 5 and 0\/1 + -2 - b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(-1272) + -34 + (-30634)\/(-816)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12103 + 12102.20016. Let x = 0.04 - 0.84. Let y = x - a. What is y rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88255 - 16?\nAnswer: 88238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 51, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -35 (b) -0.4 (c) 0.3 (d) 811\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3730 is divided by 3725.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896662 is divided by 948323?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 1263375 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17395\/6 - -2911. Find the common denominator of 65\/111 and y.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/10)\/((1680\/(-150))\/(-28)) + -13.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*q**2 + 68473*q + 17753886?\nAnswer: 66*q + 68473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 95395.67ug?\nAnswer: 0.00009539567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -715713990 rounded to the nearest 1000000?\nAnswer: -716000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 774507, -1.\nAnswer: -2, -1, 774507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 205*p. Let g(t) = -11*t. Let w(i) = 2*i. Let f(o) = -g(o) - 6*w(o). Calculate x(f(c)).\nAnswer: -205*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iti when three letters picked without replacement from {i: 17, t: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let y(n) = -12*n + 9. Let h(o) = 4*q(o) + 2*y(o). Let f = -104 - -90. Let c(a) = -4*a + 3. Calculate f*c(x) + 3*h(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.5 + 1.44.\nAnswer: 11.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42540 and 1680?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25460*(-63)\/168*(-1 - 1\/(-3)). Which is greater: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.8561 grams to nanograms.\nAnswer: 845856100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10918124?\nAnswer: 2, 7, 149, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-30)\/3042*-13)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -26*n**3 + 2*n. Let f(j) = -26*j**3 + 3*j. Determine -3*f(y) + 4*z(y).\nAnswer: -26*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -18*u + 13*u. Suppose -4*l - 13 = 2*t + t, 6 = 3*l - u*t. Is l >= 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, c: 9, q: 1, o: 1, s: 2}. Give prob of picking 2 e.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8379*b + 2395 wrt b.\nAnswer: 8379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-3)*(-5)\/10*(-672)\/28.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) 211 (d) 2\/1057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b - 645*b**3 + 645*b**3 - 2 - b**2 - b**4 + 1 to f*b + s + d*b**3 + x*b**2 + i*b**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(1482\/(-1768)))\/(3*(-48)\/36).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -73*x - 172. Let p(g) = 18*g + 43. Let n(c) = -2*o(c) - 9*p(c). Let f(h) = -26*h + 636. Let l be f(25). List the prime factors of n(l).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*16\/(-240).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4 - 1013*b**2 - 4*b - 2119?\nAnswer: 12*b**2 - 2026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 18*x - 50. Let j(y) = -1. Let s(n) = b(n) - 5*j(n). Let i be s(20). Let f(r) = -r - 14 - 19 + 28. Calculate f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -95, -146, -217?\n\"Answer: -10*m**2 - m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 413*o**4 + 229*o**3 + 8*o**2 + 2610605 wrt o.\nAnswer: 1652*o**3 + 687*o**2 + 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.141 - -0.131. Let j = 0.66 - f. What is j rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = f. Suppose -5*b - 4*l + 7671 = 0, -1635 = -f*b + 5*l + 6045. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.003 times -13?\nAnswer: 13.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let h(d) be the first derivative of 230 + 3*d - 9\/2*d**2. Give h(y(f)).\nAnswer: 18*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 12 - -9) + 22 - 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62492, -62430, -62286, -62018, -61584?\nAnswer: -60942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8071, 7640, 7183, 6688, 6143, 5536?\n\"Answer: -2*u**3 - u**2 - 414*u + 8488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337083080?\nAnswer: 2, 5, 8427077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*(w\/w**(1\/2))\/w*w*w)\/w))**(-3\/13))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20672 and 4199?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 3*q + 2. Let d(j) be the third derivative of -4*j**5\/15 + 2*j**4\/3 - 11*j**3\/6 + 7*j**2. Give -2*d(z) - 11*p(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:47 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 99, 240, 437, 690, 999, 1364?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.042 + 4.958. Put 0.35, 0.3, o in increasing order.\nAnswer: 0.3, 0.35, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108834890 * 0.04.\nAnswer: -4353395.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)**22*(y**(-1))**(-19))\/(((y\/(y*y**(-1)*y)*y)\/y*(y*(y**5*y*y)\/y)\/y*y)\/((y\/y**(-7)*y)\/y*y*y**(-4))) assuming y is positive.\nAnswer: y**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 2, u: 1, j: 1, c: 2, q: 1}. Give prob of sequence ujz.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1 - 5 + 20*z - 10*z**2 - 8*z + z**3. What are the prime factors of p(9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:40 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*y**5 + 207758*y**3 - 8922*y + 398.\nAnswer: -140*y**3 + 1246548*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 483845, 967701, 1451557, 1935413, 2419269, 2903125?\n\"Answer: 483856*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - -0.22. Let b = -2126 - -2159. Which is greater: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53717484.\nAnswer: 2, 3, 17, 19, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2) + -2)**2*-5 + -4*(sqrt(18)\/sqrt(3))\/sqrt(3).\nAnswer: -55 - 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + 3 + 5 + (sqrt(13) + (6*sqrt(65)\/sqrt(5))**2)*1.\nAnswer: sqrt(13) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 - s**2 - 132 + 301.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264) - (sqrt(3264) - 4*sqrt(3264)) - -3*sqrt(1836))\/(-4*sqrt(6)\/(sqrt(4)\/sqrt(2)*-4)).\nAnswer: 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5828*d - 11655. Determine a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -23. Let j = p - 12. Let o be j\/((-8)\/(-12) - 1). Solve -f = -v + o, 4*v + f - 2 = 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2. Suppose -10 = -4*x + 6. Let l(o) = 19*o**2 - 4. Let v(c) = -18*c**2 + 3. Let k(w) = x*v(w) + 3*l(w). Calculate z(k(r)).\nAnswer: -225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, d: 1, w: 2, m: 7, r: 1}. What is prob of picking 2 m?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 10*g + 9. Let z be l(9). Suppose -5*c + 88 = o, -67 = -o + 2*c - z*c. Let f = o + 1. Calculate the remainder when f is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28986969 is divided by 2226.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8712, -17705, -26996, -36591, -46496, -56717?\nAnswer: -67260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 34 = -31. Suppose -5*u + s = -c - u, -u = -2*c + 2. Solve 5*p - c = 3*h, 3*h + 0*p = p + 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 744 = -21*x - 2*i, 4*i - 1504 = -4*x. List the prime factors of x.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 7, y: 7}. Give prob of picking 2 l.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3540*k**2 - 118*k + 59. Let q(b) = -177*b**2 - 6*b + 3. Determine 3*n(j) - 59*q(j).\nAnswer: -177*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**3\/2 - n**2 + n + 1. Let u(a) = -5*a - 5. What is 5*h(f) - 2*u(f)?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 3)*(-6 + 6 + 7*u).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -235797452 equal to -235797450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/5)\/(98\/(-980)). Suppose 0 = v - u*v. Solve v = -3*i + 4*d + 8, -i = -4*i + 3*d + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + -91. Let x = 165 + w. What is the greatest common divisor of 90 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1585, -7\/4.\nAnswer: -1585, -7\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9)*-2)\/(2\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3321 - 160*m + m**2 + 3118 - 39.\nAnswer: (m - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20\/3, 5, -1\/4?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 7*t**4\/3 + 125*t**3 + 562*t**2\/3 - 176*t - 416\/3 = 0.\nAnswer: -52, -2, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940 a factor of 1211485266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 0)*(1 - 0). Let n be 6\/h + 8\/(-5). Which is the nearest to -1? (a) -4 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - g + 3 = 0, 3*d + 0*g - 6 = -2*g. Suppose -2*t + 3*r + 17 = d, -t + 4*r + 19 = -2*t. Does 2 divide (2*t)\/((-10)\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 6*p - p + (2*p - 3*p + 0*p)*(-7 + 2 + 4))*(7 + 4 - 2) + p - p + 8*p.\nAnswer: 80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93862735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 smaller than 1056\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8377139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1369\/60 - 71\/3. Find the common denominator of d and -33\/368.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.71 - -0.69. Let l = g + -1.4. Let i be (1\/(-9))\/((-151)\/302). Which is the nearest to i? (a) l (b) -3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 24. Let m = u + -7. What is the lowest common multiple of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*g + 62 = -d, -5*g + 115 = 4*d. Let l = -20 + d. Solve -l*x + 2*j = 7*j - 10, -6 = -5*x - 4*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.517133 rounded to two decimal places?\nAnswer: -8.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 + 0)*(56*q - 28*q - 44*q) + (-4 + 5 + 1)*(3 - 2*q - 3) - q + 0*q - q - q + 2*q - 2*q as u + y*q and give y.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/76*4\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 + 4*n - 4. Let m(l) = 5*l**2 + 3*l - 3. Let b = -12 - -16. Let w(d) = b*m(d) - 3*j(d). Let p(f) = f. Determine w(p(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7679663, 15359322, 23038981, 30718640, 38398299?\nAnswer: 46077958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 6*j**2 + 2*j + 14. Let q be k(-6). Find the first derivative of -12*o**2 + 6*o**2 - 5*o**q - 18 wrt o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1995, 4137, 6281, 8427, 10575?\n\"Answer: n**2 + 2139*n - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -506 - -498. Let u = 502 - p. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-16)\/400*10. Solve 2*i - 16 = -4*a, z*i = 23*a - 18*a - 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20\/49, -0.3, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txttttzxxtxtzzxtx. Give prob of sequence zzxz.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54619 and 208934493.\nAnswer: 208989112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 8*x + 2*z, -8*z = 3*x - 5*z + 30 - 9 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -4545847.\nAnswer: -6\/4545847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 165\nAnswer: -19\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 68. Suppose 13*f + f - 308 = q. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 4876063.\nAnswer: 11\/4876063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 6. Let k be b(6). Suppose -5*u + 247 + 98 = k. Suppose u - 9 = 4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h**4 - 1\/420*h**7 + 1\/240*h**6 + 0*h**3 - 8*h**2 + 1\/120*h**5 - 1\/672*h**8 + 0 + h. Factor p(v).\nAnswer: -v**2*(v - 1)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-22)\/m)\/(m\/(m*m**(1\/21))))**(-3\/8))**(14\/9) assuming m is positive.\nAnswer: m**(241\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 6*f**2 - 6*f. Let t be o(-5). Let m(p) be the first derivative of p**3\/3 - 5*p**2\/2 - 5*p - 17. Calculate m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -394.8 - -392. What is the third biggest value in 3\/7, -0.3, 0.1, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1859117 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**3 - m**2 + 3*m**3 + 15*m**3.\nAnswer: 6*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z - 4. Let x(a) = 16*a + 59. Let c be x(-4). Let o be -6*c\/40*-4. Give d(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x - 7. Let y(l) = l**3 + 6*l + 8. Suppose -15 = -3*r - 0*r. Let n(s) = r*y(s) + 6*z(s). Differentiate n(o) wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110797\/28 + 3957. What is the second smallest value in -0.2, 1\/9, 2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1136 times 2\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-72))\/((-1)\/(-9)))\/((-108)\/(-32))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2456*j - 2455*j - 3*s - 16 = 0, 2*j = 5*s + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -229, -239, -253?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/7)\/((h\/(h*h**(-1\/5)))\/h))\/(h**13*h**(-7\/5)) assuming h is positive.\nAnswer: h**(-408\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(55)\/(sqrt(88)\/sqrt(8))*-5)**2 + 5.\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 1010?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let o = 2.08 + j. Round o to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16680*r**3 - 33380*r**3 - r + 3*r + 16669*r**3.\nAnswer: -31*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 - 303 + 32*x - 17*x + 52 - 17*x.\nAnswer: -2*x - 423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 6*u. Suppose -12 = -4*z, -2*k - 2*z = -k - 14. Let t be r(k). Suppose 0 = -3*o + 4*o. Solve -4*s + v + t = o, -7 = -4*s + 2*v + 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -528\/7 + 75. Let i = 3131 + -3135. Are i and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**3 - 67 + 232*n - 501*n + 66 + 181*n to the form d*n + q + j*n**2 + m*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 2, n: 6, h: 2}. Give prob of picking 1 f, 1 l, and 2 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 28209*t**2 + 66241728*t + 331914240.\nAnswer: 3*(t - 4704)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**3\/6 + o. Let y = -13 - -12. Calculate f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 3, p: 2, g: 1, b: 9}. Give prob of sequence btb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3531 * 3.\nAnswer: -10593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 14*w**2 + 29*w + 55. Calculate the remainder when k(-17) is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 1728, 5410, 12490, 24078?\nAnswer: 41284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Let o(j) = j**2 + j - 5. Let r be o(5). Suppose -5*t = -r, -3*x - 5*t - 9 = -4*x. Let i(c) = -4*c + x*c**2 + c**2 + 4*c. What is u(i(g))?\nAnswer: -2450*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qffqmd. Give prob of sequence mfqd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose -s*d = -1 - 3. Suppose -2*z = -5*v - z + 313, -3*z = -d*v + 133. Is 31 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-4 - (3 - 4)). Let x = m + 5. What is the first derivative of -36 + x - 4*v + 18 + 8 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17609.\nAnswer: 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19122377?\nAnswer: 37, 516821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 639 - 636. Solve -k*m + 11 = -9*w + 5*w, -5*w = -3*m + 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 9790 + 1010. Suppose 5*g - n = 5*u, 0*g - 5*u - 1752 = -4*g. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:39 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3432*t + 351. Let b(j) = -39*j + 4. Give -351*b(k) + 4*x(k).\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000085 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -279728 divided by -279728?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(6 - 23 + 7) + 0 + 4 + 0)*(o - 5*o + 0*o).\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.128 (b) -2\/15 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 8*a**2 - 4. Let q be c(8). Let l be (-1)\/2*16\/q. Suppose 2*m - 5*m + 4*u = -29, l*u - 35 = -3*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(35\/140)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/342 and -73\/180?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105575973 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4*24\/(-16))\/(69\/(-4))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a1451bd + 0?\nAnswer: -1a1451bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -934*d + 953*d. What is the greatest common factor of d and 222?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/10 - 3778*a**3\/5 + 11337*a**2\/5 - 11338*a\/5 + 7559\/10.\nAnswer: -(a - 1)**3*(a + 7559)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, u: 1, n: 1, y: 11}. Give prob of picking 1 u, 1 y, and 1 n.\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 429 and -3107.\nAnswer: -1332903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t + 678. Let k be a(26). Solve -k*n = -435*n - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 14*b - 16. Let v be o(-12). Suppose 0 = -6*s + v*s. Solve s = -2*p + 1 - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = -3. Let h(r) = -r**3 - 6*r**2 - 6*r - 4. Let f be h(-5). Let c = f - u. Put c, 0, -2 in descending order.\nAnswer: c, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 1\/3*k**3 - 1 + 0*k + 0*k**2. Let r(l) = -5*l**2. Calculate j(r(t)).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + 0.04. Let i = 488 - 484. Which is the third biggest value? (a) -1.6 (b) h (c) i (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 2. Let o be k(-9). Let f = -3 + o. Differentiate 1 + 1 - 1 - f*w - 7 wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -1\/25362?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 - 9*g - 1. Let s be r(-6). Calculate the greatest common divisor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c4 (base 16) to base 8.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 3)\/(-4)*4. Let x(z) = 0*z + 7*z - i*z. Let h(t) = -2*t. Determine h(x(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6264121 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 6 = 2*i - 22*a, 3*a = 5*i - 27. Solve -20 = i*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 779764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b - 5*a - 12, b = 3*a + 9. Determine v so that 15*v - 3*v**2 + b - 129 + 13*v + 6*v**2 - v = 0.\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -61*y + 40*y - y**3 - 7*y**2 + 9 + 31*y. Give m(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 77 + 23*u - 407*u**2 - 32*u + 405*u**2.\nAnswer: -2*u**2 + 8*u - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332465*t - 4 + 6 - 47042*t - 19340*t.\nAnswer: -398847*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2694*o**5 - 20*o**4 + 5388*o**3 + 40*o**2 - 2694*o - 20 = 0.\nAnswer: -1, -10\/1347, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -49. Let i = x - -34. What is the smallest common multiple of 10 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491 = -4*l - 0*l + h, -h + 616 = 5*l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let s = 1 - i. Calculate the remainder when 27\/5 + s\/5 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 828, 6650, 22566, 53628, 104888, 181398, 288210?\nAnswer: 430376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201002102211 - 11?\nAnswer: 1201002102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, 3, 0.11, 0.16, 2\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 - z**3 - 20*z**3 - 9*z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 117 + 18. Find the second derivative of 344 - 344 - 8*v + t*v**4 wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*n**4*n)\/n*n)\/(n\/n**9))\/(n\/(n\/(n\/n**(-9\/2)))*n*n*n**11) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 equal to 657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 9:10 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g - 50*g - g + 34*g**2.\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 20954968*f\/3 + 13969976.\nAnswer: 2*(f - 10477482)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**2 - 22*r + 20. Determine h(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**4\/4 + 5*z**3\/3 - 6*z + 2. Calculate r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4066598 times 5\nAnswer: 20332990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*p - 11*p + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2155324 > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by -140\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 5*f + 2. Let t be v(-3). Suppose -s + t*d + 1 = -10, 5*d = -3*s - 7. Factor s - c**2 - 2*c**3 + 0 - 2*c**2.\nAnswer: -(c + 1)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -29*r + 4. Let c(n) = 58*n - 8. Let l(i) = -3*c(i) - 7*v(i). Is l(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -26 + 8*18\/(-36). Let k be 1 + -1 - (-32 - 1). Let c = k + z. Solve i + c*v + 4 = -3, i + v = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -1440.\nAnswer: 1439.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 4, u: 2, c: 1, f: 1, i: 2, r: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 - (-12 + (-10979 - -16)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/42 - -7 - (-40)\/(-24)*148\/532?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - (3 + (-29 - (-4 + 3 + -14))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11537 + 11706. Suppose 4*j = 16, -3*k = -6*k + 2*j + 94. Calculate the remainder when s is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 2 q when four letters picked without replacement from ddkdddkqdqqdkk?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 16 = -56. What are the prime factors of r*(7 - 1148\/(-21))?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981817241?\nAnswer: 3, 23, 28721989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*x + 60*x + 150*x)*(46 - 115 + 46)*(x - x + x).\nAnswer: -3818*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10506 and 252762?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -3294149800608.\nAnswer: -3294149800602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 1979160.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*k + 3*k = 19, 5*t = -3*k + 29. What is the first derivative of 2*s + s**t - 45 - 5 + 9 wrt s?\nAnswer: 4*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (106\/24)\/(2 - 1)*3 and -1\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 96a?\nAnswer: -96f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2012*i + 362*i + 3732*i + 604*i as t + w*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55 + 1448.56?\nAnswer: 1448.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 537*t**3 + 9*t**2 + 47*t + 28. Let z(h) = 269*h**3 + 4*h**2 + 21*h + 12. Give -6*l(m) + 14*z(m).\nAnswer: 544*m**3 + 2*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54552.\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 42*l + 47*l - 42, 4*a + 5*l = 46 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -65. What are the prime factors of 417 + j\/1 + 10?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -2 - -1)\/(-5 - -4). Solve n + 3*n = p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 + 13*m + 3. Let p(n) = -3*n**2 + 7*n + 2. Let v(b) = 3*c(b) - 5*p(b). Let z be v(-5). Let o be (-9)\/6*z\/18. Solve 5*y - 7 = o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 6. Let h(a) be the third derivative of 15*a**4\/8 - 55*a**3\/6 + 10*a**2. Let m(d) = 6*h(d) - 55*l(d). Let u(r) = r. Give u(m(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 138, 180, 206, 216?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 6126 - 5896 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 5\/3, 1\/6, -2.1, 126, -4\/5, 0?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43158, 43175, 43192, 43209, 43226, 43243?\nAnswer: 43260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 59. 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: Suppose 0 = -0*t + 2*t - 58. Let a = 48 - t. Suppose 3*h + a = 5*q + 2*h, 2*q - 2*h - 6 = 0. Calculate the highest common divisor of 12 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 2326*b - 243765. Determine q(-110).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7138217294166829\/57340 - 124489314508. Let s = 966175\/22936 - 337\/8. Let j = s + w. Calculate the common denominator of j and -13\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-210)*7\/((-21)\/(-12))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4205, 730, 1.\nAnswer: -3, -1, 1, 730, 4205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 22*g - 35*g. Let p(l) be the first derivative of 4 + 0*l**3 + 0*l**4 + 4\/5*l**g + 0*l**2 + l. What is the derivative of p(n) wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 4. Let q(l) = -1. Calculate c(x) + 2*q(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:58 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -686 - -689. Let f(y) = -y + 8. Let n be f(6). Suppose i - 60 = -n*o + d*i, 0 = 5*o + 4*i - 105. Calculate the remainder when 74 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4336, 8655, 12974, 17293, 21612?\n\"Answer: 4319*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/5 + -2)\/1. Let u = 11.66 + -11.96. What is the second smallest value in j, u, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Let k(z) = 2*z**3 - 2. Let o be (6\/(-5))\/((-120)\/(-200)). Give o*j(g) - k(g).\nAnswer: -2*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 3*v - 11. Let i be z(-2). Suppose 19 = 6*t - i. Solve 25 = -4*q - 5*f, q - t*q + 15 = -3*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - 6*b**2 + 5*b + 6. What is a(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590510 divided by 1?\nAnswer: 1590510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: a066aa (base 11) to base 5\nAnswer: 403304332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 20 = 20*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -68061.275 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*f - 0*f + 4*a, 2*a = f - 20. Let q(g) = 10*g - f*g + 10*g. Let j(s) be the first derivative of -8*s**3\/3 - 640. Determine j(q(u)).\nAnswer: -128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 4*g**2 - 98*g + 489. Calculate o(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-20)*2954\/(-1477)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-28)*z)\/z*z**(-9)*z)**(1\/10))**25 assuming z is positive.\nAnswer: z**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -0.0442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i**2 - 2*i + 1. Let r be x(1). Let b = r - -37. Suppose 137*q + 21 = 140*q. Calculate the remainder when b is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*y + 79826, -4*n - n - 39919 = -2*y. Suppose 191957 = 5*i + y. Suppose 9*k = 13*k - i. Round k to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (17 - 41 - -3) - (14 + 0).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.36*-11.\nAnswer: -14.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 594.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 1, m: 1, x: 1, s: 1}. What is prob of picking 1 m, 1 u, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96.38 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + 4*a - a - 2*a + 2 - 2 - 7*a + 3*a + 2*a + (2*a - a + 0*a)*(-4 + 4 - 1) - 3 + 3 - 2*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - w**2 - w**2 - w**2. Let g(r) = -r**2 + 436*r + 2649. Let u be g(-6). Let i(z) = -3*z**2 - 2*z. Calculate u*i(q) + 2*o(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/13, 122, -0.0389?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -283 * 2827668\nAnswer: -800230044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 354, 1403, 3158, 5631, 8834?\n\"Answer: 2*n**3 + 341*n**2 + 12*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228 + 2*m**2 - 228 + 13*m to the form i*m + a + l*m**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 1.34. Let o = a - -0.05. Let w = 0.1 + o. What is the third biggest value in -4, w, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**4 + x**3 + 2*x**2. Let u(m) = m**4 + m**3 - m**2. Let i(l) = -q(l) + u(l). Find the third derivative of i(f) wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 2, -6, -18, -34, -54?\n\"Answer: -2*s**2 + 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 + 0*a + 7*a + 17*a**3 - 5*a + 2*a**2 as k*a + s*a**3 + i + z*a**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21687444 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -248, -0.2, 420?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 170 - 102. Solve -3*m + 32 = -u*w, 439*w - 2*m - 12 = 443*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - 3. Is -12 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*-3*((sqrt(2057) + -2*sqrt(2057))*1 - (2 + (sqrt(2057) + (1*sqrt(2057) - sqrt(2057)) - sqrt(2057)) + sqrt(2057)))*-4)**2.\nAnswer: 304128*sqrt(17) + 28449792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 9. Let j be q(12). Suppose j*n = 18*n + 45. Solve 11 = 3*z - 5*p, -n*z + 19 = -3*p + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 32. Suppose -2*y - u + f = 0, 3*u + 1 - 15 = -y. Let n = -1 + 2. Put n, 4, y in increasing order.\nAnswer: n, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -1, -36.702?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 292, 295?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (2 - 10) - -11. What is the smallest common multiple of -30*(w + -3)\/(-5) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -9.6. Let o = k + 9.2. Which is the second smallest value? (a) -2\/15 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891) + (sqrt(891) - (sqrt(891) - (sqrt(891) + 0 + sqrt(891)))) + 5 - (-1*sqrt(891)*5 + sqrt(891)))**2.\nAnswer: 720*sqrt(11) + 57049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.19 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(168) + sqrt(168)*4)\/sqrt(12))\/sqrt(2).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2215, 8891, 20025, 35617?\n\"Answer: 2229*x**2 - 11*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((7 + -12 - -6) + 5) - -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63395 is divided by 3800?\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*s + 475 = -107*s. Calculate the remainder when s is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 18 - 32 = 0. Suppose u*b - 11 = -1. Solve -k - 2 = -b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*p - 690, 2*p + q - 2*q - 686 = 0. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25268 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -142c4 + 0?\nAnswer: -142c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3820\/13 - 294. Let s = 5.93 - -0.07. Let h = -6.5 + s. What is the closest to -0.1 in h, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2871*h + 2874*h = 17, 3*h - 2 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2037810865 by -5.\nAnswer: 407562173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72424 and 671548248.\nAnswer: 6584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171974855 is divided by 64?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x. Let t(w) be the third derivative of -w**4\/8 - 18*w**2 + 2*w. Give 5*g(c) - 6*t(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5979 - -5975. What is the closest to t in -35, 2, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 1, r: 1, i: 2}. Give prob of picking 1 z and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 10:16 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21356 is divided by 166?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuyfyfouyuofyyyyu. Give prob of sequence uuou.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 21430*r**3 + 23616965*r**2 - 1403064960*r + 21432913920.\nAnswer: 5*(r - 2112)**2*(r - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -3, 0, 5, 12?\n\"Answer: b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -29*w**2 + 4*w - 2. Let t(g) be the first derivative of -28*g**3\/3 + 5*g**2\/2 - 2*g - 6578. What is -5*s(q) + 4*t(q)?\nAnswer: 33*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v + 25*v - 21 - 31 = -13*a, -4*v + 116 + 164 = -2*a for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28248 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 9) to base 15\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 32. Let o(z) = 4986*z - 1669*z + 10 - 1659*z - 1663*z. What is o(c)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2)*(-4 + 2 - 2)*(3 - 4 + 2)*(-l**3 - 3*l**3 + l**3).\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4475\/43 + 5758465\/55341. Let d = -3182\/9009 - o. What is the common denominator of -27\/8 and d?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11))**(3\/7)\/((i*((i\/((i\/i**(1\/7))\/i))\/i)\/i*i)\/i**(-19)) assuming i is positive.\nAnswer: i**(-1545\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148241752*l + l**2 + 184 - 184 + 148241687*l.\nAnswer: l**2 - 65*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2633509 and 2633651 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:53 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 1. Let m be (0 + -2)\/(64\/(-36) - -2). Let u(n) = 36*n - 9. Let r(o) = m*i(o) - u(o). Let g(s) = s**2. What is r(g(a))?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {d: 3, v: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*p + 6*p. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 18 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 342*f - 340*f, -2*r = 5*f - 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8289325 to the power of 1\/2, to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by (-16)\/(2*(-2)\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 15. Solve 0 = -h*v + 7 - 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 2 - 2)\/(-1). Let r be (k + -7)\/(-4 + 2). Let b(x) = 4*x + 2. What is the units digit of b(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4832\/5 greater than -1220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-3)\/(-5))\/3). Let y(b) = -38*b + 78. Let z be y(2). Suppose 0 = -5*f + 9 + 1, g*w = z*f + 31. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9824 - -9788.9. Which is smaller: o or -0.08?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 12*y**2 + 50*y + 36.\nAnswer: -2*(y - 9)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10264, 10261, 10260, 10261, 10264, 10269, 10276?\n\"Answer: l**2 - 6*l + 10269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 49179\/(-9))*(339 + -348).\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -26*z + 9. Let g(w) = -51*w + 21. Calculate -4*g(c) + 9*q(c).\nAnswer: -30*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i - 1 + 1)*(4 + 3 - 6) + 0 - 3*i + 0 - 2*i + 2*i - 2*i + 7 + 3*i - 7 - 4*i + i + i)*(-i**2 + 3*i**2 - 15*i**2).\nAnswer: 78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, t: 2, k: 4}. What is prob of picking 2 u and 2 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 2:59 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 19. Let g be x(8). Let p(j) = -j**2 - 3*j + 3. Calculate p(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 32\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 2\/171 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -74a75 + 1?\nAnswer: -74a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9728 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07866 and 4.\nAnswer: 0.31464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 30855?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 515220300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 5 - 5 + 4 + 5*a + 2*a**2. Let r(q) = 3*q**2 + 5*q - 5. Let y(i) = -4*g(i) + 5*r(i). Is 2 a factor of y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1\/10 (b) -335 (c) -1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3 - -1) + -22 + 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44909 at least as big as 44872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/120*6*(-42)\/21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 - -439. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17477826, -34955654, -52433484, -69911316, -87389150, -104866986, -122344824?\nAnswer: -139822664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -165195.62 to the nearest 100.\nAnswer: -165200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 12. Let d(v) = -6*v**2. Determine y(d(h)).\nAnswer: 18*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34814 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 + 130*i**3 - 28734*i**2 - 1749330*i + 42457932 = 0.\nAnswer: -99, 19, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2408733 + 628830 = -9*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -29*a**3\/6 - 12*a**2 - 10*a - 24. Let y(p) be the first derivative of o(p). What is the derivative of y(v) wrt v?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245103 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46667 and -195?\nAnswer: 9100065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1017*o - 341*o - 303*o - 2119*o - 4686*o to k*o + w and give k.\nAnswer: -6432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 4*a - 72714 = 5*f, 0 = f + 3*a - 36359. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*d**4 + 7*d**4 - 3 + 4 + (-3*d**2 + 0*d**2 + d**2)*(0*d**2 - 4*d**2 + 2*d**2).\nAnswer: 31*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55, -56, -57, -58?\n\"Answer: -v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p = 55*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**6\/20 - 9*x**5\/20 + 8*x**3 - 136*x. Factor y(c).\nAnswer: -3*c*(c - 2)*(c + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 w, and 1 o when four letters picked without replacement from {o: 3, j: 5, w: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmccbm. What is prob of sequence lbmm?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 3*p**2\/2 + 34*p - 1. Suppose -50 = 3*l - 21*g + 17*g, -3*l + 3*g - 45 = 0. Let n be j(l). Solve -5 = -a - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5419*y**3 + y**2 + 2*y + 2. Let a be v(-1). Let d be (a - (3 + 0)) + -3. What is the units digit of d\/(-66) - (2 + 20\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 181.5919t?\nAnswer: 181591900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 45546666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4 - 38. Let b be 24\/v - 42\/(-147). Solve -4*a + b = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-8))\/((-15)\/(-24))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*g - s = -121*g - 86, -14*g - 3*s = 622 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -5, 5, -588, 4, -1, -2 in decreasing order.\nAnswer: 106, 5, 4, -1, -2, -5, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 12. Let i be y + 6 - 0\/2. Solve i*k + 0*s - 25 = 4*s, -4*s = -3*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 397535046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 50 = -4*b - 53, 0 = -2*b - 2*i - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 11) to base 12\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f**4 + 3*f**3 - 7*f. Let q(k) = 35*k**4 - 5*k**3 + 14*k. Let y(b) = 5*a(b) + 3*q(b). What is the second derivative of y(s) wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:18 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 10:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (3 - -42) - -19?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 87*a**2 + 12*a + 2. Let m(t) = -14*t**2 - 2*t - 1. Let k(o) = -6*m(o) - u(o). Let l(b) = -4 - 2*b**2 + 3*b**2 + 3. Determine -3*k(s) - 12*l(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -15*b**5\/2 + 85773*b**4\/2 - 122281431*b**3\/2 - 959949321*b**2\/2 + 663182457*b + 1081973508 = 0.\nAnswer: -44\/5, -1, 2, 2863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*l - 4 = 0, 0 = 2188*l - 2184*l + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from rrrqqrrrrqqq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -56\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 466162399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -5*2\/2. Let h be -3*2 - (-7 - 6). Solve -h*g = -w*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61674 (base 10) to base 2.\nAnswer: 1111000011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/(-21) + 1)\/((-128)\/224) and 31\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8183232\/385664167 - -2\/240589. Calculate the common denominator of c and -22\/687.\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3857.6932 to the nearest integer.\nAnswer: 3858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*o**6 - 71*o**4 - 562*o**2 + 3*o?\nAnswer: 3000*o**3 - 1704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2846, -5700, -8542, -11366, -14166, -16936, -19670, -22362?\nAnswer: -25006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-70) - 118\/(-14). Suppose 0*l = l. Solve l*z - 2*z - k = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/4*(-224)\/(-588).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 221197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.42l in millilitres?\nAnswer: 142420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101215.\nAnswer: 5, 31, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*w**5 - 1116*w**4 + 16*w**3 - 2*w**2 - 317191*w wrt w?\nAnswer: -420*w**2 - 26784*w + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -38497 != -1695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/12)\/(3*(-4)\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*f - 5*d, d - 7 + 2 = 0. Suppose -3*c = c - 8. Suppose 3*p - 9 = f*z - 6*z, -c*z = 3*p - 6. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 12*w - 30. Suppose 0 = w*z + 13*z - 3750. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**3*t**4 - 3*d**3 + 3*d*t**3 - 54*d*t - d - 3 wrt t?\nAnswer: 20*d**3*t**3 + 9*d*t**2 - 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.2 + 2.8. Let k = 11 + 4. Let q = y - k. Is q bigger than 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 1928\/4 - 5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5865 + -5846. What is the greatest common factor of 513 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 74 = -29*t + 35*t + 1124 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/60 - 323*n**5\/30 - n**4\/12 + 323*n**3\/3 + 6*n**2 - 817. Let y(l) = 0. Calculate l.\nAnswer: -1, 1, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**2 + 27*a - 5. Let x(m) = 16*m**2 - 41*m + 8. Let r(g) = 8*k(g) + 5*x(g). What is the second derivative of r(n) wrt n?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 15 = n. Let c be n - (2\/2)\/(-1). Solve 0 = 3*g + z - c - 10, g + 5*z = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 112*h**2 + 27 + 89*h**2.\nAnswer: -23*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1475584 - -4?\nAnswer: 1475588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 437475 and 111720?\nAnswer: 171490200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 2*o**2 + 3*o**2 + (4*o**2 - 5*o**2 + 4*o**2)*(33 + 5 + 0) + 2736*o + 56*o**2 - 2736*o.\nAnswer: 168*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1\/3 (c) 0.1887 (d) 13 (e) 2 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 less than or equal to -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 7. Let c(v) = -12*v**2 + 35*v + 25. Let x(n) = 7*n**2 - 17*n - 12. Let t(m) = -3*c(m) - 5*x(m). Let a be t(21). Calculate p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 2)*(-101*x - 2*x + 766*x - 172*x).\nAnswer: 4419*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.3, 31515, -56?\nAnswer: 31515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w + 0*w)*(-2 + 2 + 2)*(2 - 2*w**3 - 2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0 + 0*c + 2 - 2*c. Suppose 2*g + g = 3. Let s(k) = g + 2*k - 4*k + k. Calculate f(a) - 3*s(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (14 + -7) - (9 + (117 - 45)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o - 8. Let b be m(9). Suppose -3*d + h + b = 0, -h + 74 = 3*d - 0*h. Calculate the remainder when d is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469\/135 less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/650)\/(((-2)\/(-40))\/(11\/22)). Solve 0 + 2\/13*t**5 - m*t**3 - 8\/13*t**2 + 2\/13*t**4 + 16\/13*t = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 875\/49 + (-3)\/(-21). Suppose z - 11 = p. Calculate the remainder when z is divided by -3 + 17 + (-3)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 19*r**7\/7 + 59*r**3\/6 - r - 47. What is the second derivative of y(u) wrt u?\nAnswer: 2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84485 + 221?\nAnswer: -84264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1636951 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539544530.\nAnswer: 2, 5, 7, 7707779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:04 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23264, -94519, -213270, -379517?\n\"Answer: -23748*h**2 - 11*h + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 7, v: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(5*(1*sqrt(9072) - sqrt(9072)) + ((sqrt(3087)*-2)**2 + sqrt(3087) - (sqrt(63) - ((sqrt(567) - (sqrt(567)*-2 + sqrt(567)))\/sqrt(9))**2))).\nAnswer: 54*sqrt(7) + 37800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*u + 73 = -2*u, -3*b = 4*u - 23. Suppose b*p - 18*p + 40 = 0. Is 171\/2 - 4\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((-7)\/(-21)*9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 1. What is v(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.17. Let k(r) = -r**3 - 15*r**2 + 16*r. Let n be k(-16). Which is the nearest to -1? (a) 5 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 + 3*k**2 + 7*k - 3. Let o be d(-6). Solve 2*s + 1 - o = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -59006\/3 in ascending order.\nAnswer: -59006\/3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 9. Let d = -11 + 4. Let u(s) = 55*s**3 + s - 1. Calculate the remainder when u(1) is divided by i(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53639953*v**5 - 6237*v**2 - 647 wrt v?\nAnswer: -3218397180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1793*m**2 - 4 - 9*m + 1672*m**2 + 9*m.\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*i - 5*i = 776, -5*w = 3*i - 1924. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**4*x + 209*m**3*x**3 + 5*m*x**3 - 8*x**3 + 3 wrt m.\nAnswer: -24*m**2*x + 1254*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6\/19, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Let t(k) = 1. Let d(b) = -b**2 + 4*b - 10. Let l(j) = d(j) + 5*t(j). Calculate l(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.8 (b) 0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6891619129 to the power of 1\/3, to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2085\/(-1946)*63\/30.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -75.9, -5, 5, 4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(605) + -3 - (sqrt(605) - (sqrt(605) + (sqrt(605) + sqrt(605) + -2 - sqrt(605))**2)) - (3 + sqrt(20) + (4*(-2 + sqrt(5)))**2)).\nAnswer: 87*sqrt(5) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v + 487 + 130 = -607 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 6*p**2 - 7*p + 1. Let n be d(7). Let a = 4 + -11. Let i = a + 50\/7. Is n at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 28 - 8 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q - 13*q - 22*q + 60*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95\/4 + 23. Let i = 92 - 1105\/12. Which is the nearest to 0.1? (a) i (b) -1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15485, 322, 5 in decreasing order.\nAnswer: 15485, 322, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -4 + 2*k**4 + 0*k + 1\/2*k**2 + 1\/3*k**3. Calculate c(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + -1. Let g = 0.3 - a. Let y = -87 + 82. What is the second biggest value in g, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let j = 14 - 12. Suppose p = -2*w - 6, 0 = 4*w - w - j*p + 9. What is the nearest to 0 in 1\/9, r, w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38334659 and 20909814?\nAnswer: 230007954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204 - 3470\/17. Let p = -10387\/4 + 2597. Sort -3, a, 0.3, p in increasing order.\nAnswer: -3, a, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -43.5. Put c, -2, 3\/2, 0.5 in ascending order.\nAnswer: -2, c, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**4\/6 + 8*g**3\/3 - 7*g**2 - 42*g. Factor a(m).\nAnswer: -2*(m - 7)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 3, l: 4, t: 1, h: 1, o: 4}. Give prob of picking 1 h and 2 o.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 2. Let o = 297 - 293. Determine w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.82 + 3.02. Let n = 175 + -881\/5. What is the biggest value in n, -1, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 7 = -5*r + 4*k, 0 = k. Suppose 246 = 9*q - r. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.5 - 163048?\nAnswer: -163070.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.062 (b) -2\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -550.43741709 + -0.4.\nAnswer: -550.83741709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -5, 1, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 42. Let w be 48\/(-30) - x\/(-15). Which is smaller: w or 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.402 + 0.598. What is the second smallest value in a, 1\/3, -0.67?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38\/789973 or 0?\nAnswer: 38\/789973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8952, 15079, 25290, 39585?\n\"Answer: 2042*c**2 + c + 6909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**5 - 147*g**2 - 4*g**5 + 67*g**5 + 18*g**5 wrt g?\nAnswer: 4620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrr when three letters picked without replacement from yrwrryyyrrllgry.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 29\/5, 1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 53588685.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxr when three letters picked without replacement from bxrrrnl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 4 (b) 0.3 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859 + 1716 - 113*v - 857.\nAnswer: -113*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63573?\nAnswer: 3, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1513 and 73.\nAnswer: -110449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2\/10)\/(2\/(-10)). Let p be ((-1)\/(-3)*m)\/((-56)\/(-336)). Let u(h) = h**3 + 7*h**2 - 5*h. Calculate u(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 900412570 and 4130.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60678, -0.2, 3 in decreasing order.\nAnswer: 60678, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - (-2628 + -13 + -2) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00403168693 rounded to 7 decimal places?\nAnswer: 0.0040317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/3 - 734*i\/3 - 22244 = 0.\nAnswer: -201, -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/35*(-7)\/18. Which is the biggest value? (a) 0.3 (b) -2.4 (c) -5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1940\/17, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -32*a. Let w(t) = -2*t. Determine u(w(l)).\nAnswer: 64*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 divided by -800?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21517914 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-86)\/9*(-9)\/24 and 4\/(-6) + (-734)\/(-84)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.3, 0.13, -3\/2, -24 in descending order.\nAnswer: 0.3, 1\/7, 0.13, -3\/2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13329450 and 42654240?\nAnswer: 213271200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377)*-1*5 + sqrt(1377)))**2 + ((sqrt(153) - (sqrt(153)*1 + sqrt(153)))\/sqrt(9) + sqrt(17) + 4)**2.\nAnswer: 34441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4802*j**2 - 2502*j**2 - 2309*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:19 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2aa6 + 2?\nAnswer: -2aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4 - 152\/3*d**2 - 20\/3*d - 72*d**3 - 20\/3*d**5 - 116\/3*d**4 = 0. What is d?\nAnswer: -3, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 16*t**2 + 56*t + 60. Determine b(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168 - 170) + (1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 3*o**2 + o - 2. Let g be q(2). Suppose g*i + 404788 = 3604788. Round i to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 0*u**3 - 2*u**3)*(1 - 3*u**2 - 1) - u**5 + u**5 + u**5 + (0*u**2 - 4*u**2 + 2*u**2)*(2*u**3 - u**3 - 3*u**3) - 22*u**5 - 82*u**5 - 18*u**5.\nAnswer: -111*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 178*u**2 - 326*u + 4571. Calculate l(-176).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 18*k - 27 + 29*k - 14*k - 29 in the form b*k + w and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -2 in ascending order.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148980501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1*(2 - 1)). Put p, 4, -1 in ascending order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/8 + (-4736)\/1536?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34949539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -3*w - 11. What are the prime factors of w?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 7*y**5\/90 - 509*y**4\/36 - 146*y**3\/9 - 5*y**2 - 13*y. Let v(c) = 0. Calculate c.\nAnswer: -2\/7, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 4553373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w + 36 = 0. List the prime factors of w\/8*8\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12024 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4077796 is divided by 1359147?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-48)\/(y\/y**(1\/19)*y*y*(y*y*y*(y\/(y*y*y\/(y*y**(-3\/10))*y))\/y*y)\/y) assuming y is positive.\nAnswer: y**(-503\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 15*t**4 + 1535*t**3 + 31535*t**2 + 173485*t - 130130 = 0.\nAnswer: -77, -13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 26*x**2 - 9*x + 25. Calculate h(26).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/24 - 55*v**2. Let a(i) = 4*i - 3*i + i. Give a(j(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 17. Suppose -19 = -b*y + 5*d - 4, -5*y - 2*d - 6 = 0. Let c(i) = -i**3 + i**2 + i + 3. Let a be c(y). Solve 3 = -0*j - a*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1558411\/28 >= -55657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105614 + 176?\nAnswer: -105416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0009? (a) -2\/9 (b) -0.3 (c) -6 (d) 324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 388*r**2. Let p(w) = 534*w. Give j(p(i)).\nAnswer: 110640528*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/9 + -3)\/(1\/(-276)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -16*n + 113. What is the smallest common multiple of 22 and n?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67635711 (base 8) in base 7?\nAnswer: 235231401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioi when three letters picked without replacement from {i: 7, o: 3, e: 8}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z + 3*y + 44, -5*z + 4*y = -150. Let x = 158 - z. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3 + 20*g**2 - 125*g + 491. Calculate w(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -25. Suppose 3*h + 9 = l. Suppose -h*w + 0*w + 18 = -3*r, r - 4 = 0. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 21. Let b be o(0). Let v = -182 + 184. What is the tens digit of b\/v*72\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1450, 2976, 4578, 6256, 8010, 9840?\nAnswer: 11746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92290512641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 342540557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850622321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2280 - 5*b**3 + 2288 + 3*b - 149*b**4 + 2*b**2 - 4570 + 4*b**3 - b**3 to the form p*b**2 + t*b**4 + c*b + m*b**3 + s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -19. Let q = m + 10. What is the derivative of -18*t - 2*t**2 - 5 + q*t wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192\/11 or 18?\nAnswer: 192\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {q: 5, r: 2, e: 13}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2. Let m(a) = -2*a + 2. What is m(w(g))?\nAnswer: 8*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18609*m**2 + 20*m - 5247. Let i(k) = -9296*k**2 - 11*k + 2622. Let n(w) = -11*i(w) - 6*o(w). Find the second derivative of n(z) wrt z.\nAnswer: -18796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46353, 1, 0, 4 in descending order.\nAnswer: 4, 1, 0, -46353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -q + 582 - 581, -5*w - 3*q = -3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*q - 6 + 34*q - 68*q)*(-33*q**2 + 5 + 116*q**2 - 82*q**2 + q).\nAnswer: -2*q**3 - 8*q**2 - 16*q - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.55. Let r = -81 + 81.65. Let u = g + r. Which is the closest to -0.5? (a) 2 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 474 = 1684. Round h to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 757 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94852.6 + 94853. Let p = 0.07 - 11.07. Which is the third biggest value? (a) w (b) -4\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -16*t - 5 + 2 - t**2 + 8. Is h(-15) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 8:57 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4 and -29\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 18. Suppose -3*j = c - 18. Suppose 5*r + 7 - 3 = q, 5*q = j*r - 22. What is the third biggest value in -2, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -650. Suppose -3*w = 2*w - j. Calculate the highest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 + 170136*g**4 + 340284*g**3 + 6*g**2 - 340281*g - 170142 = 0 for g.\nAnswer: -1, 1, 56714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -1862.76185454.\nAnswer: -1867.76185454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*w - 181 + 143 - 11*w - 8*w to o*w + m and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21396 + 10698 + 10698 + 15*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3938 - -6393. Is h a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77627 and 54857.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -20. Let l = 12.34 + r. Let h = l + -0.24. Sort -4, 4, h in ascending order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 2. Let l be w(4). Suppose 4*r + 15 = -b - 57, -l*r - 3*b - 46 = 0. What is the units digit of -177*(-5)\/(-2 - r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212833\/9 + (-60)\/270 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728*0.3.\nAnswer: -218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 + u**4\/6 + u**3\/2 + u**2. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 344182 + 86045 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -119*c - 39. Let n be a(2). Is n not equal to -276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3651 - -3654. Put v, -5, -220 in ascending order.\nAnswer: -220, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -53*r**3 + 6*r**2 - 6*r + 37. Let f(u) = 105*u**3 - 11*u**2 + 11*u - 73. Let d(a) = 6*f(a) + 11*q(a). What is the derivative of d(x) wrt x?\nAnswer: 141*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k + q - 3, -2*q - 24 = -4*k. Let a = 5 - 10. Let b = 8 + a. What is the least common multiple of b and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1461\/331, -1\/3, 56 in increasing order.\nAnswer: -1461\/331, -1\/3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10650 by 71.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*sqrt(114) + sqrt(114))*-3*1)\/((sqrt(216)\/sqrt(64))\/sqrt(9)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -552.588 + 333.6985. Let b = i + 219. What is b rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 9. Let h(u) = -u**2 - u - 1. Determine -c(s) - 5*h(s).\nAnswer: -s**2 + 5*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/9*k**2 - 22\/9 + 2\/9*k**3 + 46\/9*k.\nAnswer: 2*(k - 11)*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-8) - 1046\/(-8). Suppose -c + 21 + 27 = 0. Suppose 3*j = p + c. List the prime factors of j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2256093\/4 - -1699550\/3. Let j = -2492 + i. Find the common denominator of 107\/18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -53.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 167785 + 657434. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305411.177 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 39*x - 1. Calculate d(45).\nAnswer: 1754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a - 339328 + 1404939. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-4\/3)*h))\/h**0)**(-7) assuming h is positive.\nAnswer: h**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485997 is divided by 931.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybyffpyywfyybbwp. What is prob of sequence fp?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/19)\/u*u\/u**(3\/5)*((u**(-1\/3)\/u)\/u)**(10\/7))\/(((u\/u**(-3)*u)\/u*u**(-2))\/(u**1\/u**2)) assuming u is positive.\nAnswer: u**(-1721\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2738778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 146 - 1021 = -5*y, -1170 = -5*y + 5*p. Let z = 939 - y. Is z a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1))**(-30)\/(j\/(j\/j**(-1)))**43 assuming j is positive.\nAnswer: j**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*k + 201, -249 = -4*a - a + 3*k. Let q = 28 - a. Is (-355)\/(-4) - 5\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (510\/42 + -10)\/(35\/441)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0059 * 4\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/3 in -0.3, 0.5, 7, -1, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -39?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -12*n + 129. Let o be 1661\/209 - (-35)\/665. Give r(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -52 (b) 1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*x**5 - 56*x**4 - 2*x**3 + 79*x**2 + 55*x + 3?\nAnswer: 9600*x**2 - 1344*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -306 + 302. Put 207, 8, r in descending order.\nAnswer: 207, 8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 27*k**2 + 7*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168 (base 12) to base 2.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 a when three letters picked without replacement from xmssamm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, 0, 52 in increasing order.\nAnswer: -8, -6, 0, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**3 - 3 + 28951531*x - 28951531*x.\nAnswer: 20*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 7 - 23. Let o(k) = -3*k. Let g be o(-2). Suppose 0 = -b + g - 4. Solve -b = -2*c, u*q + c + 3*c = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 6. Let r = 108 - 107.6. Which is the nearest to 1? (a) r (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 - 3. Let i = -1.4 - x. Which is the second biggest value? (a) 0.2 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1433*o + 714*o + 78 + 716*o. Let w(q) = -3*q. Give h(w(z)).\nAnswer: 9*z + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/24 - k**3\/2 - k**2. Let n be 48\/144*(8 - -7). Let j be t(n). Solve 4*l - 2*l = j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 11 + 3, -2*j = 4*y - 16. Suppose -135 = -5*a - y*h, 2*a = 4*h + 22 + 8. Suppose 134 + a = l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 1188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, x: 2, y: 2, g: 6}. What is prob of sequence gyg?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 + 2 = 0. Let v(s) = s**3 + 5*s**2 - 3*s + 6. Let g be v(i). Let p be 14\/g*(-12)\/56. Do p and 2\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 1. Let g(p) = -2*p + 4. Determine 3*g(s) + 8*l(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -228, -77, 604, 2085, 4636, 8527?\nAnswer: 14028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2431706t in nanograms?\nAnswer: 243170600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1031, 0, 446 in decreasing order.\nAnswer: 1031, 446, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*t*v**3 + 216*t*v**2 + 96*t*v - t - 90 wrt v?\nAnswer: -654*t*v + 432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(-6))*j**(2\/7)*j**4\/j**(-1\/3) assuming j is positive.\nAnswer: j**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 23*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66, 459, 1498, 3501, 6786, 11671, 18474?\n\"Answer: 53*u**3 + 5*u**2 + 7*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*l = 45*l + 100*l + 3514 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + -5*sqrt(875) + sqrt(35) - sqrt(210)\/(sqrt(66)\/sqrt(11)))\/(2*sqrt(700)*3*4).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {m: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 19 = -u + 2*u, -5*t = 5*u - 35 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -11.5, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -67*-378\nAnswer: 25326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -25, -67, -143, -265, -445, -695, -1027?\n\"Answer: -2*v**3 + v**2 - 9*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 - 16179712*l\/3 + 32359432\/3 = 0 for l.\nAnswer: -8089858, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(15\/7))\/q)\/(q\/(q**11*q)*q) assuming q is positive.\nAnswer: q**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-d - 2*d + 2*d + (6 + 14 - 5)*(-8*d - 2 + 9 - 6)).\nAnswer: -121*d + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -25*k - 1\/6*k**4 + 2\/5*k**5 + 0 + 1\/2*k**2 + 0*k**3. Give j(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 3, d: 4, w: 4, u: 1}. Give prob of picking 2 c and 1 d.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -2*r + 78. Let a be -45 + 4 + r - 1. Let h = a - -59. Solve -5*c - u = -9, -5*c + u = -4*u - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 - 31?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/2)\/g)\/g**(5\/3))**(-3\/8) assuming g is positive.\nAnswer: g**(25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/5 - 20*b + 576\/5.\nAnswer: 4*(b - 16)*(b - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/8*36\/7. Suppose -5*f + 0*v + 54 = -3*v, 2*f - 3*v - o = 0. Calculate the remainder when 35 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4187 - 10847 = 180*c for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2 + -1)*-1. Solve s + 0*s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3524833, -7049664, -10574495, -14099326?\nAnswer: -17624157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/9 - 2*b**4 - 14*b**3\/3 + 2*b**2\/9 + 20*b\/3 = 0?\nAnswer: -5, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klj when three letters picked without replacement from jukmkkl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -560*b**2*q - 835729*b**2 + b - 5675*q wrt q.\nAnswer: -560*b**2 - 5675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4236*q + 32 = -4232*q - 4*i, 2*i - 704 = -178*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.5 + -161. Let t = 85 + o. What is the second smallest value in -0.2, t, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(5\/(-4))*(-45)\/(-671580)*910?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbkkkb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15a7 - -1?\nAnswer: 15a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3975 - 2354. Let k = 5647 - d. Let g = k + -28229\/7. Find the common denominator of g and -41\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n + 10. Let s be k(2). Suppose s*y - 7*y = -91. What is the third derivative of -y*p**2 - 117*p**4 + 129*p**4 + 3*p**2 wrt p?\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.87049 years in centuries?\nAnswer: 0.8387049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 886. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-6))\/m)**(-34)*(m*m**(-7)*m)**(11\/4))**30 assuming m is positive.\nAnswer: m**(11415\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -44 - (-14 + 7) - (-3 - 3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9462161 is divided by 1892427.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 1 (c) -0.4 (d) 2\/7 (e) -50 (f) 2\/5 (g) -6.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by 4423?\nAnswer: -239\/4423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*d + 4*w - 1, -d + 3*w + 13 = 0. What is the biggest value in 0, d, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 41403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8*p + 5*p = 3433, 0 = 3*p + 3. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 61. Does 14 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.58918mg in micrograms?\nAnswer: 6589.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23376, 46697, 70016, 93333?\nAnswer: 116648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -34254?\nAnswer: 3425d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let u = o - 0. Let p = 2.256 + -5.256. Which is the closest to u? (a) 0.24 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 5, -40627?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-225)*(1 + 2). Which is the closest to 2\/9? (a) 6 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {p: 3, j: 1, y: 6, q: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 37. Solve -17 = 5*w - z*y - 0*y, 5*y = 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c - 621 = 0. Let g = 406 + c. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 0*i + 14 + 3*i - 4*i. Let y be ((-4)\/6)\/(-1*(-2)\/(-24)). Let j be o(y). Solve h - 4*h = 2*b + 6, -5*h = -2*b - j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 greater than or equal to 232660\/1279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/344)\/(1\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1069\/126 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16944 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 6:11 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*c + 59*c + 7*c**3 - 15 + 5 with respect to c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8547899 <= 8547898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.9, -3\/8 in descending order.\nAnswer: 1.9, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 583916 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 112*s**2 - 2*s - 1. Let n be t(-1). Suppose 0 = 5*a + 28 - n. Suppose -30 = -9*z + 4*z. What is the remainder when a is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59108 - 22229. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r**2*r)\/r)\/r)**(-1\/78)*r**(1\/5)\/(r*r\/(r\/r**(-2\/41))) assuming r is positive.\nAnswer: r**(-6211\/7995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 655760009 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 409137792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*(-1539)\/(-114). Let b(y) = 2*y - 4 + 31*y**2 + 3*y + y**3 - 21*y**2. What is b(g)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -134?\nAnswer: 5\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 + 7. Let v(c) = -2*c**2 + 3. Let m(q) = 7*v(q) - 3*y(q). Let r be ((-2)\/(-3))\/(6\/9). Let k(o) = o - r + 2 - 1. Give k(m(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.22 - -24.298975. Let z = 0.175 - 0.254. Let g = w + z. What is g rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(-41)*((l**2*l*l*l*l*l)\/l)\/((l**(-5)*l)\/l))\/(l**3*l\/l**(-3\/4)*l)**(7\/8) assuming l is positive.\nAnswer: l**(-739\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 2*w + 70. Give b(-7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 4, -3, 0.507, 0.17, -19, 0.03?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*s - 75 = -22, 3*j = 3*s - 45. Is 7959 + (j\/(-8))\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041462*x - 1041464*x + 3 = -t, -x - 1 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 770 + -763. Let l(n) = 27*n - 188. Let p be l(b). Which is smaller: p or -8\/169?\nAnswer: -8\/169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.13 and -743?\nAnswer: 749.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4564932?\nAnswer: 2, 3, 157, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i - 10. Suppose 7*z = -7*z + 7*z. What is p(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559844 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543451?\nAnswer: 223, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 17*o**2 - 11*o + 15. Let s(k) = k**3 + 32*k**2 + 17*k - 29. Let m(u) = -5*g(u) - 3*s(u). Calculate m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 - -312. Let j be (p\/(-3))\/((-76)\/57). What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14, 4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10000223 + -10?\nAnswer: 10000213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*j**2 - 378*j**3 + 384*j**3 + 2*j - 2*j as g*j**2 + t*j + s*j**3 + l and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 1406 - 42 + 212 + 220*t - 220*t.\nAnswer: t**2 + 1576","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {x: 9, a: 7, h: 3}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80002049*q**2 - 78891589*q.\nAnswer: -160004098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -1\/16*i**3 + 25*i**2 + 0*i + 0 + 3\/64*i**4 + 1\/320*i**6 - 3\/160*i**5. Suppose a(n) = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + -15 - (-1 + -23264) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 14*h**2 + 2*h - 11. Let m be u(14). Suppose m*r = 22*r. Suppose 5*b - 5 = -5*y, r = -0*b + b + 2*y. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/8, -0.3, 1.35, 2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/9 - 358*a**2\/3 + 942*a - 7406\/9.\nAnswer: 2*(a - 529)*(a - 7)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 2*a - 1. Let z be (-4)\/(((-8)\/22)\/2). Suppose 3*m - 2 = z. What is the remainder when m is divided by o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58.0632*-0.1013\nAnswer: 5.88180216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 92, 221, 386, 581, 800, 1037?\n\"Answer: -o**3 + 27*o**2 + 13*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**5\/60 - g**4\/12 + 11*g**3\/3 + 16. Let u(f) be the third derivative of i(f). Determine u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(29\/(2175\/(-60)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5882625 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 15 - 3 = 0. Let h(w) = w**2 + 4*w - 4. Let l be h(m). Solve 3*y - y + l = 0, 0 = g + 2*y + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 2. Let p(f) = -f**3 - 7*f**2 + 9*f + 10. Let g be p(-8). Solve -g*r = 1 - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 47. Let d(s) = 10*s - 142. Suppose 0 = -3*t + 5*t - n - 19, 39 = 2*t - 5*n. Let u(x) = t*l(x) + 2*d(x). What is the units digit of u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/3489 - -20912\/38379. Let i = 0.06 - -0.04. Let f = 1 - -2. Which is the nearest to i? (a) 1 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-19)\/(l*l**9))\/(l**(7\/2))**(-12) assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96577828 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2270 and 15710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 = 11. Solve 3*t - l = -4*b, -t + 25 = t - 5*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000083708 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/6753 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -254, -2, 0.3, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3757, 3756, 3755, 3754?\nAnswer: 3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 62 = 4*c, 0 = f - 4*f - c + 79. Suppose -9*l + 48888 = f*l. What are the prime factors of l?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261)\/145 + (-88)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148 - 145. Suppose 0 = -k*u + 3*h - 122412, 80093 = -2*u - 4*h - 1491. Round u to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1339*j**5 + 812*j - 2 wrt j.\nAnswer: 26780*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-37345)\/825 - -35.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*q**4 + 385180*q + 2144285 wrt q.\nAnswer: -36*q**3 + 385180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 641.\nAnswer: -8\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**4*w + 28042*t**3*w + 136020*t*w wrt t.\nAnswer: -36*t**2*w + 168252*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15528, 31059, 46590, 62121?\n\"Answer: 15531*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6049*i**2 + 6135*i**2 - 18408*i**2 + 6060*i**2.\nAnswer: -164*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + sqrt(55)\/sqrt(5))**2 - 4*((sqrt(99) - sqrt(11))**2 + sqrt(11)) - (-6*(-3*sqrt(891) + sqrt(891)))**2.\nAnswer: -128436 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, -11, 36646\/7?\nAnswer: 36646\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6539.1 from -0.3.\nAnswer: -6539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**4 + 1350*o**3 + 124737*o**2 - 1539450*o = 0.\nAnswer: -311, -150, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*k - 23 = k, -2 = 2*d - 4*k. Suppose 18 = d*o + 4*n, n = 5*o - 2 - 6. Solve -3*l + 5 = -4*z, z + o = 2*l - l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4465\/2 bigger than 2234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171967493, 343934981, 515902465, 687869945?\nAnswer: 859837421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 3*g - 2. What is o(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 174703479 to the power of 1\/2, to the nearest integer?\nAnswer: 13218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*n + 2*d, -6*n + d = -2*n - 37. Suppose 0 = -6*r + n*r + 12. Let j(u) = u**2 + 3. Let p(z) = 4*z**2 + 14. Calculate r*p(a) + 14*j(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + ad1?\nAnswer: ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 5. Let y be 600\/144 - (1 - 25\/30). Let h(j) = -4*j - 19. Calculate y*h(a) + 18*c(a).\nAnswer: 2*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 - 16\/(-3). Let z be 90\/(-25)*2\/u. Let f be (4 + -5)*(-1 + 1). Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-12)*d**(-2\/27)*(d*d\/(d\/(d\/(d*d**4)))*d)**(1\/52) assuming d is positive.\nAnswer: d**(9047\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 - 135 = -94*v - 273 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/1880 and -63\/22.\nAnswer: 20680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -6 (c) 0.096 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -739.931 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (2 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 57*l**2 - 74*l + 54. Let m be n(-8). What is the greatest common divisor of 38 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/7))\/j*j)**(1\/9)*(j*j\/(j*j**2))\/j**(-6\/7) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10039, 19899, 29573, 39061, 48363, 57479?\n\"Answer: -93*w**2 + 10139*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0 + 1\/4*t**4 + 2*t + 2\/3*t**3 + 1\/20*t**5 + t**2. Let w = -15 - -13. Give f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 21 = -c. Suppose c + 17 = 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)\/((-1)\/5). Suppose 30 = -t*q + 130. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1105552011 + -2?\nAnswer: 1105552005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1058 - -485. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2*(2 + -10). Suppose 0 = -2*a + 5*s + 44, 0*s - s = 3*a - q. Suppose -4*c + a = -3*i, 0*c - 3*c = i - 22. Solve 2*o - 14 = -c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5\/3 (c) 0.06 (d) -0.3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 6*g + 10. Let x be d(7). Suppose -p = -x*p + 4. Suppose 2*j - 5*c = 24, 3*j + 2*c = -p*j + 2. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 630*x + 1. Let t(y) = -y**3 - 19*y**2 + 2. Let k be t(-19). Is u(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 35*p**3 + 14*p**2 + 201*p + 133. Is d(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 5911.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:12 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 505734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(684)*1 + -4) - (sqrt(684)*-2*-3 + -5*(sqrt(684) - (2 + sqrt(684))))) + -3)**2*2.\nAnswer: 960*sqrt(19) + 87602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2)*(-7 + 456\/64)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 - 80. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 30762 = 12*n + 30768, 0 = -4*z - 3*n - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4)*6 + (sqrt(2) - (sqrt(72) + sqrt(2))*-3) + -2)**2.\nAnswer: -112*sqrt(2) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*z**3 - 101*z**3 + 53*z**3.\nAnswer: -556*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*g - 25*g - 15 + g**5 + 9*g**5 + 25*g**5 + 5*g**5 + (-4*g**3 + g**3 + g**3)*(-1 + 3*g**2 + 1).\nAnswer: 34*g**5 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369622, -739216, -1108810, -1478404, -1847998, -2217592?\nAnswer: -2587186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d. Suppose -9 + d = -3*q. What is the derivative of 2*m**2 + 5*m**2 - 3 - q*m**2 wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 13751?\nAnswer: 13\/13751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 204 - 194. Calculate the smallest common multiple of 9 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(13\/(-104)*(0 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7363755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + r + 11. Let z be n(0). Calculate the highest common divisor of 121 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(0*a - 2*a + 0*a) - 27685*a - 2315*a + 40492 - 31546*a - 40492 - 17719*a.\nAnswer: -79263*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 21 - 7. What is the common denominator of a + 284\/(-20) - (-3)\/1 and -5\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.3 + -22. Let k = x - 1.1. Let o = 1 + k. What is the closest to 0 in -5, o, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 32 = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m**(-5)\/m)\/m))**(-40)*m*(m*((m\/m**4)\/m)\/m)\/m*m*((m*m**(-20))\/m)\/m assuming m is positive.\nAnswer: m**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g + 1. Let c be f(-3). Suppose -w + 40 = 2*z + 3*z, c*z = -5*w + 32. Let x = z + -6. What is the least common multiple of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211002 (base 3) in base 12?\nAnswer: -173b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 2*o**3 + o**3 + (-5*o + 5*o + 4*o)*(0*o**2 - 2*o**2 - 3*o**2) + 2*o**3 + o**2 - o**2)*(0*o + o**2 + o + o).\nAnswer: -17*o**5 - 34*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267655501*k**3 - 3348622.\nAnswer: 802966503*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p + 0 + 0)*(2*p - 1 + 1) - 2*p**2 + p**2 + 2*p**2 + 2*p**2 + 3 - 8*p + 8*p)*(p**2 - p**2 - 3*p**3).\nAnswer: 3*p**5 - 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(8)*2.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/3 - 2\/(-6). Suppose 3*j - d = 459. Suppose 2*h = 3*t + 569, 0 = -h + 2*t + j + 129. What are the prime factors of h?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 7176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -1.7, -1, 4, -427, -4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8 = d + 173, -v + 49 = 3*d. Let p(b) = 35 - v + 2*b + b**2 - b. Let k(t) = -3*t**2 - 6*t - 4. Determine -k(g) - 5*p(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 6, 95, 3\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + -8.5. Let g = 12 + l. Let s = -20\/33 + -2\/33. Which is the closest to g? (a) 2\/11 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*b - 3*x - 15 - 101 - 6, 0 = -43*b - 3*x - 2706 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**20\/a)*a)\/a)\/a*a**5 assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13243)\/(-1558))\/((17\/(-136))\/(6\/(-8)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 6*u - 3. Let j be o(-6). Let v = j - -5. Let d be 1*(2\/v + 63). Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53\/2 - -27. Let v = -433\/14 - -61\/2. Let q = -0.6 - -0.4. Which is the closest to q? (a) w (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g + 965614 = -575198. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(19)*-4 - (sqrt(76) + 3))**2.\nAnswer: 132*sqrt(19) + 9205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - -2. Solve i = -4*i - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9095781 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -61417250 to the nearest 10000.\nAnswer: -61420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.7548 - -1.7548. Put 1, -1\/7, g, -0.1, -6 in increasing order.\nAnswer: g, -6, -1\/7, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 65 = -10*b - 5*i, -5*i = 14*b - 13*b + 19 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)*(-1 - -4). Suppose 2*p + 122 = 4*g, 0 = -p - w*p - 12. What is the tens digit of -3 + (1 + 0)*g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214161 divided by 214161?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o + 0*o**3 - 1 - 6*o**2 + 1 - o**3 + 2. Let v be s(-5). Let r(t) = -t**3 - 5*t**2 - 3*t + 2. Calculate r(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - -5. Let f = -43 + o. Let l = 283\/6 + -47. Put l, -3, f in descending order.\nAnswer: l, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26697 - -9917. Let f = w + 28851. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 20 + 12*p - 20 - 8*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1071 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25808 and 63.27.\nAnswer: 1632872.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18162 + -13667. Which is greater: 4496 or q?\nAnswer: 4496","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5242973 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let y(m) = -2*m + 5*m + m - 5*m. Give y(h(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 20. What are the prime factors of r(-15)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796607 is divided by 969.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -24*a + 970. Determine v(41).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 2:33 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/78862363 and -34\/11.\nAnswer: 867485993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) -26 (c) -3\/8 (d) -0.3 (e) -18\/5 (f) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586226607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 10 = 5*d - 6*a, 3*d + 2*a + 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -731*x + 38. Is 25 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + ((sqrt(56) - (sqrt(56) - (1*sqrt(224))\/sqrt(4) - sqrt(56)))\/sqrt(2) - (sqrt(224)\/(sqrt(200) - sqrt(8)) + -1))**2 + -2.\nAnswer: 7*sqrt(7) + 359\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.3551l in millilitres?\nAnswer: 412355.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Suppose 6*b + 78 = 9*b. Suppose 2*t - 2*v - 3*v + 30 = 0, -2*t - b = -u*v. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59909 is divided by 214.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5198899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(612) + -1) + 1 + sqrt(612) + -5 - sqrt(612)*1*2*2))**2.\nAnswer: -384*sqrt(17) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6960, -13915, -20870, -27825?\n\"Answer: -6955*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1471, -2813, -4137, -5443?\nAnswer: -6731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1381.3 + 1382. What is the third smallest value in -1.1, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/12 - 7*m**2. Let w(u) = -4*u**2. Calculate c(w(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3383098 litres in millilitres?\nAnswer: 338.3098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -m - 3*m. Suppose m*s - 3*s - 200 = 0. What is the second derivative of 25*u + 9*u - s*u - 17*u**3 wrt u?\nAnswer: -102*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-561)\/(-2431)*36\/(-27)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 85.912 and 4.\nAnswer: 89.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0*g**2 + 1\/12*g**4 + 0*g**3 + 0 - 3*g. Let r(z) be the second derivative of -7*z**4\/12 - z. What is j(r(c))?\nAnswer: 49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -13*u**2. Let m = 1 + 3. Suppose -2*z - 14 = -2*l, -m*l - z = l - 5. Let t(c) = 7*c**l - 7*c**2 + 2*c**2. What is r(t(o))?\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 18\/10 - (-22 + (-194282)\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 414?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.539 + -7.739. Let n = 1 - 0.5. What is the nearest to -2\/3 in n, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - a + 1 + (4*a + a - 3*a)*(8 - 3 + 4)*(-11 - 1 + 2).\nAnswer: -181*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4336.292 decades to centuries.\nAnswer: 433.6292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -446, 0.2, -5, 0, 176\/9 in descending order.\nAnswer: 176\/9, 0.2, 0, -5, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9982 is divided by 4980?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -34. Let u = -6 - r. Let w(f) = f + 1. Let s be w(3). Solve 0 = 4*m - 2*l + s*l + 2, 0 = 3*m + u*l - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -279, -1077, -2263, -3705, -5271, -6829, -8247?\n\"Answer: 22*w**3 - 326*w**2 + 26*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 3295*t - 3291*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152020 = -3875*s + 107605 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609*x + 576*x - 1634*x + 640*x.\nAnswer: 191*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3160525, 6321052, 9481581, 12642112, 15802645, 18963180, 22123717?\n\"Answer: u**2 + 3160524*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 4101966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2420 - 19*t + 24*t - 1965 + 3982 as g + c*t and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.1, 2102\/3, -2052, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1108\/429 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5 + l**2 + 4*l**2 + 25*l**4 + 11*l**2 - 80 - 10*l**4 - 7*l - 14*l**4 wrt l?\nAnswer: 60*l**3 + 12*l**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*r**4 + 4*r**4 + 15122 + 2*r**2 - 1606*r + 1605*r - 1085*r**3 - 2*r**2 wrt r?\nAnswer: -8*r**3 - 3255*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1488 and 264.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 8*c**2 - 4*c. Let k be s(-4). Round k to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226209146.\nAnswer: 2, 3, 29, 7047179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2695 - -2699. Solve -2*f + 15 - 26 = z, -7 = u*f - 3*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-5 - -4)*1. Let f be g*(2 + 1 - 4). What is the common denominator of -114*2*f\/20 and -39\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76320*r - 76350*r + 1320 = 0 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 25 = 12*i. Let n(a) be the third derivative of 3\/40*a**6 + 0 + 1\/112*a**8 + 0*a**4 + 1\/20*a**i + 0*a + 2*a**2 + 3\/70*a**7 + 0*a**3. Factor n(d).\nAnswer: 3*d**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 1. Let o be 3 + -3 - (0 + -1). Let w be c(o). Let j be 10\/w*6\/(-5). Solve -j + 1 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/95 - 126\/(-15). Solve 3 + 5 = k*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/279 - 224\/3069. Let n(h) = -h**3 + 7*h**2 + 8*h + 3. Let w be n(8). Suppose 5*t - p + 4 = 0, 0 = w*t - p - 2*p. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 344066904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -454 * 71.5\nAnswer: -32461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 340844 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 (base 8) in base 6?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 89 = -2*j, 4*f + j + 44 = -22. Let b = 5 - f. Let o = -26 + b. Put 16, o, 0 in increasing order.\nAnswer: o, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + 4. Let c(s) = -5*s**2 + 4. Let i(m) = -m**3 + 6*m**2 - 6. Let d = 14 - 8. Let x be i(d). Let p(y) = x*w(y) + 5*c(y). Calculate p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1902 is divided by 113?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:30 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 - 79. Solve v = 3*w - 5*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zod when three letters picked without replacement from {o: 1, u: 4, y: 5, n: 1, d: 1, z: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + -1)*2\/(-4). Let r be v*(-1 + 0 + 2). Suppose -4*p - 8 = 0, 0 = 4*w - 0*w - p + 2. Sort w, r, 0.\nAnswer: r, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**3\/3 - 7*g**2\/2 - 2*g. Let d(k) = 2*k - 8. Let p(a) = 5*d(a) - 6*i(a). What are the prime factors of p(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1952 + -1964.646. Let n = r - -12.6. What is n rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -88.982. Let b = 9.882 - q. Let c = b - 10.1. Is c != 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 81 - 83 + 0*a + 6*a. Let d(r) = 11*r. Determine v(d(t)).\nAnswer: 66*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/138804 and 115\/6456?\nAnswer: 277608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r + 102. Let h be b(-11). Solve 0*s = -2*s - 8, h*k = -s + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. Suppose r - 22 = 5*w, 3*w - 3 = -r - 13. Let k(f) = 0*f**2 + f**r - 2*f**i. Let j(z) = -z**2. Give j(k(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 4, f: 2, y: 2, c: 3, n: 1}. What is prob of sequence cngg?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -27. What is the lowest common multiple of 10 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 8 = 17*s - 7*s + 2*w, -2*s = 3*w - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/40027428 and -143\/11436408?\nAnswer: 80054856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 135585, 7.\nAnswer: -2, 7, 135585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 = -5*m, 4*m - 8 + 16 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7030*0.3\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 84996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9883 to the nearest 100.\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = -3*f. Let r = f - -12. What is b in -4 + 7*b + b**3 - r*b - 9*b**3 + 22*b**2 + 0*b**3 = 0?\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*f + 22*f - 5*f - 11*f)*(4*f**3 - 2*f**3 + 3*f**3).\nAnswer: 240*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -469 - -234. Let y = h + 260.8. What is y rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10846.466 plus 2?\nAnswer: -10844.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51749758 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*u - p - 2, 3*u + 2*p - 2 = 0. Suppose u = -h + 6*h - 50. Are 10 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-6\/23))\/g*g*g*(g**15\/g)\/g)\/(g**(1\/7)\/g**28) assuming g is positive.\nAnswer: g**(6942\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -905*i**4 + 3*i**3 - 7*i + 200847?\nAnswer: -3620*i**3 + 9*i**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418*f - 421*f - 18 - 2 to j*f + w and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4076*n**4 + 4*n**3 - 158397*n wrt n.\nAnswer: -48912*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 4755 - 615 = 0. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 159*p**2 - 3402*p - 2112.\nAnswer: 3*(p - 22)*(53*p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and -3.086?\nAnswer: -120.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**2 + 969*i - 9561. Give b(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/4 + 5*v**3 - 10*v**2 + 14*v + 3. Let c = 957 + -972. Is h(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgn when three letters picked without replacement from nbjjnngwnn.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2668*d + 22400. Give l(8).\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let m(z) = 4*z**2 + 4 + 28*z - 12*z - 14*z. Give m(f) + 6*x(f).\nAnswer: -2*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + u - 301*u**3 + 307*u**3 + 2 + u**2 to w*u + r*u**2 + h*u**3 + y and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347 - 330. Let d = -10 - -27. Calculate the greatest common factor of i and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*4\/30*(-170)\/(-204)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m - 10 + 4*m**3 - 3*m - 2*m**2 + 0*m**3 + 13 as d*m**2 + r*m**3 + j + y*m and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**3 + 6*a**2 + 6*a + 11. Let s be f(-4). Let x = 371 + s. Calculate the least common multiple of x and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and 244471452.\nAnswer: 244471451.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 - 6*j + 1. Let k = 6 - 11. Does 4 divide t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/49, 0.2, 0.1, -3, 3, -4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/155 or -2?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -294 and -479.\nAnswer: 140826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 41. Let a = 39 + t. Suppose -a*h + 104 = -h. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/261 + 6250\/90 + -10.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5514?\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/(-3)*((-1024)\/48)\/4. Solve h*q + 40 = 148*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20186 is divided by 384?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -129, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-867)\/(-50864)*(-8)\/(-6)*(-8)\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 94*o. Let l be w(49). Let y(z) = z**3 - 4*z**2 - 7*z. Let d be y(8). Let b(x) = -1 - 1 + l*x - d*x. Calculate b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 58*i**2 + 36*i - 1473. Give c(-59).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 6:26 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*1*sqrt(1584) + sqrt(1584) + 2 + 1 + -3)**2.\nAnswer: 6334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 47. Factor 0 + 0*f**3 + 1\/2*f**4 + 0*f + 0*f**q.\nAnswer: f**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by 2\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose c*v = -5*v - f - 2599997, 2*v = -4*f - 1039988. Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 - 3 + 3)*((3 + 4 - 5)*(2*n - 7*n - 5*n) - 4*n + 5*n + n)*(-2*n + 0*n - 2*n) to u*n**3 + w*n**2 + o*n + s + g*n**4 and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 21*x - 112. Calculate y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 737868 and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7673529.\nAnswer: 3, 2557843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, -2\/9, 144\/167?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 5:08 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 4:04 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2 = 0, 0 = -5*a - 166*v + 170*v + 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106252459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -7301*u**2\/2 + u + 3. Let g be a(1). Round g to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/2 + 16815*l**2\/2 + 4303287*l - 21726560 = 0. Calculate l.\nAnswer: -502, 5, 17312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22013291 to the nearest integer?\nAnswer: 4692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*d**4 + 1672*d**3 + 839*d**2 + 105*d.\nAnswer: -d*(d - 105)*(4*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/70*273\/(-91))\/((-2)\/10)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99616661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3554*h = -3531*h - 458597. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7267031773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*t - 4*n, 4*t - 4*n = n + 17. Let o = -7 + t. Suppose 0 = 2*y - 3 - o. Solve 0 = b + 5*u - 16, 4*b + y*u + 0 = 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + (3 - 5))*73 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 47*g - 180. Let d be p(-42). Suppose 4*n = -5*w + 3 + d, 4*w - 18 = n. Solve 5*b = 3*s + 3 - 1, 3*b - s = n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 1\/9*i**3 + 0*i + 3 + 0*i**2. What is k in x(k) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 253814*t - 1269050. Calculate f(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t + 103*t + 5*t - 51*t + 1.\nAnswer: 80*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h + 22*h - 100*h**2 - 8*h + 49*h**2 wrt h.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 - -22 - (810\/(-4))\/(-5). Suppose -4*p - 132 = 4*a, 2*p = -a + 8 - 37. Let c = a - y. Sort c, -0.2, -6\/7 in descending order.\nAnswer: -0.2, c, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779251.\nAnswer: 953, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40040, -79464, -118888, -158312, -197736, -237160?\n\"Answer: -39424*m - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 = -13. Let t = 3 - f. Does 4 divide (-5)\/t*40\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 8*c**2 - 9*c + 17. What is the remainder when 15 is divided by y(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*j)*(j + 5*j + 4*j) + 14*j**2 - 8*j**2 - 79*j**2.\nAnswer: -93*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -404, -1\/77, 1\/9, 9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-729)\/(-24) - (-6)\/(-16). Solve -m = -4*r + 10*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50 + -2*(2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 821574789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -58*x**2 + 31*x**2 + 32 - 13*x + 26*x**2. Let t be u(-15). Suppose i = 3*s + 3*i - 264, -t*s + 5*i + 195 = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*h + 6209, -3*a + 7*a - 3*h = 4963. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {u: 1, p: 2, f: 6, m: 2, l: 3, t: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*a + 9 = -121*a + 3*l, 4*a + 15 = 5*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250499 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a**4 - a**3\/3 - a**2 - a + 1. Let b(c) = -c**3 - 2*c**2 + c + 1. Let l be b(-2). What is the units digit of n(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 2 = o + 8*g, 2*g - 1 = -5*o. Which is the third smallest value? (a) 2\/21 (b) 2\/3 (c) o (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Suppose 15 = 4*s - 5*a, -9 = 5*s - n*s + 3*a. Suppose 2*r - 3*t = 1 + 17, s = -2*r + t + 10. Solve -r*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.890496nm to kilometers.\nAnswer: 0.000000000001890496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-715)\/5850 + (-13 + 12 - (-27)\/30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-16 + 76 + -42)) + -75\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 362964860 divided by -2?\nAnswer: -181482430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**3\/5 + 3221*s**2 + 44312*s\/5 + 28203\/5 = 0.\nAnswer: -7\/4, -1, 4029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43806 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 283, -848 in descending order.\nAnswer: 283, -3, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**4 - 5*m**3 + 6*m**2 - 4*m + 4. Let n(h) = -5*h - 2*h**4 + 18 + 2*h - 5*h**3 - 15 + 7*h**2. Let v(s) = 4*n(s) - 3*o(s). Solve v(t) = 0 for t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-12)*580377\/70. Let t = 9678 - b. What is the common denominator of -25\/16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**6\/3 + 8*z**5\/5 + 2*z**4 - 4*z**3\/3 - 5*z**2 - 4*z + 10. Solve t(h) = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10167 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f + 21 = 0. Let z be -4*f\/(-2)*-1. What is the highest common divisor of 42 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/6 - 9*t**3\/2 - 4*t**2. Let a be o(7). Are -3\/8 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -35*t + 5. Let i(q) = 11 - 3*q - 6*q - q - 33*q - 27*q. Calculate -3*i(x) + 7*r(x).\nAnswer: -35*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*v + 5, 4*v + 4*r + 3875 = 3859 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408720 and 340470.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/42 + ((-242)\/6)\/(-1). Let k = s + -7. Calculate the highest common factor of k and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 37*a - 348. Calculate g(25).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/360 + 5*b**4\/24 - b**3\/2 + 12*b**2. Let c(k) be the first derivative of r(k). Differentiate c(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -262?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51511994 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (3 + -19) - 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734*y**3 + 1464*y**3 - 3 - 397*y - 733*y**3 + 4 - 189*y.\nAnswer: -3*y**3 - 586*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2\/2)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:03 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - 4*u - u, 23 = d + 5*u. Suppose 3*b = -2 + d. Sort 1\/4, b, 2\/9, 4 in decreasing order.\nAnswer: 4, b, 1\/4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 6*d**2 + 5*d - 7. Calculate s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15676, 31538, 47460, 63472, 79604?\nAnswer: 95886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 356, 501, 756, 1133, 1644?\n\"Answer: 2*u**3 + 43*u**2 + 2*u + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - t = -195, -5*i = -2*i + t - 145. Let o = i - 29. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + i)*(-5 + 5 - i**4 + (-2*i**3 - 3*i + 3*i)*(-2*i - 2*i + 2*i)).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 4*b**4 - b**4)*(1 - b - 1 + (2*b - 2*b - 2*b)*(-1 + 3 - 1)).\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26*s + 451. List the prime factors of i(-11).\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 734079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -422\nAnswer: 7\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -835, -904, -959, -994, -1003?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 256343229*q**2. Let y(x) = 4*x. Give k(y(m)).\nAnswer: 4101491664*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let u(f) = 1381*f**2 + 3828*f**2 + 28 - 56 + 28. Give u(v(c)).\nAnswer: 20836*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u**2 + 79*u**2 + 90*u**2 - 31*u**2.\nAnswer: 224*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -126055 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73 - 75 - (0 - -1)) + 57 + -46?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 b, and 1 o when four letters picked without replacement from cbocozxxccxzbcc?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57662 and 21555104?\nAnswer: 237106144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6989890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3*i - 5*i**2 + 3*i**2 - 1 + 0*i to the form l + y*i + t*i**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 16 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + -1*4*(-3 + sqrt(2299) + 5 - (4 + sqrt(2299) + 1)))**2.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -4*3\/(-54). Let b = -5\/18 + d. Find j such that -1\/2*j**2 - 4*j + b*j**4 - 2 + 5\/2*j**3 - 1\/2*j**5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 11*h - 54.\nAnswer: -(h + 6)*(h + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by 2\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569339309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m - 5. Let q be (m - -2)\/(38\/36). Let l = q - 145\/133. What is the smallest value in l, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-1 + (2 - 3). Let b(n) = 4*n + 6. Determine b(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - (-2 + -3)) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 6*c**2 + 6*c - 4. Determine m(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1*(3 - 2). Let k(w) = 23*w + 17. Let g(c) = 8*c + 6. Let j(r) = 17*g(r) - 6*k(r). Calculate j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/149, -0.11, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*v - 24. Suppose -y + 5*h = -420, -2*y + 905 = v*h - 0*h. Suppose -11*c - y = -16*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3976655 and 6955.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 25. Let b be t(15). Let g(a) = a**2 + 7*a**2 - 4*a**2 - b*a**2. Let z(h) = 0*h**2 + 4*h**2 - h**2. Determine 10*g(u) + 4*z(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 272 + 24497?\nAnswer: 24759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -340\/37, -0.3, 1\/3, -5?\nAnswer: -340\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181 + 341. What is the greatest common factor of w and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (-3 + 9 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**4\/4 + 10*c**3\/3 - 9*c**2\/2 + 1. Let v be p(9). Suppose 2*i - 51 - 147 = v. What is i rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 8*k - 13. Let n(p) = 4*p**2 + 8*p + 12. Let z(u) = -5*m(u) - 6*n(u). Let w be z(9). Solve 3*d = 0, -3*d = w*v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 11618*a + 397354. What is h(-34)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*l**3 - 1510*l**2 + 2330903 wrt l.\nAnswer: -777*l**2 - 3020*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.81 in 0.11, 2\/3, 4, -3, -50?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = k + 190. Which is the nearest to 1\/3? (a) -1\/23 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcmij. Give prob of sequence vi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3\/2 + 1485*h**2\/2 + 14649*h = 0. What is h?\nAnswer: -19, 0, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/(v**(1\/6)*v*v))**(-2\/113) assuming v is positive.\nAnswer: v**(-17\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1*(-1)\/((-3)\/6). Let c(m) = 11*m**2 + m - 2. Let g be c(w). Let h be (-2*44\/g + 2)*2. What is the closest to 1\/4 in -5, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b - b. Let f(u) = -5*u**3 + 1. Let r be f(b). Let s = 4 + r. Solve 4*i + 2*q + 1 + 1 = s, 2*i - 8 = 2*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 + 4*o**3 + 140*o - 117 - 334*o**2 + 386*o**2 + 93 = 0 for o.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -647\/12 + 197\/4. Suppose -17*x = -20*x + 2160. Let y = x + -725. Which is bigger: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8592579 is divided by 113.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.3 + -6. Let r = 0.01253 + -1.01253. Sort -0.4, g, r, 0 in ascending order.\nAnswer: r, -0.4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6067, 7231, 8399, 9571, 10747, 11927, 13111?\nAnswer: 14299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n + 2. Let g(y) be the third derivative of y**5\/60 - 712*y**2. Give r(g(q)).\nAnswer: -9*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8364 divided by -123?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 278, 518, 864, 1352, 2018, 2898?\nAnswer: 4028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6528*p - 6541*p + 11492. Calculate the highest common factor of 612 and p.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 7*u. Let o be y(-7). Is 38 - (o + 1)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-3)*i)**(-42))**(-1\/9) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*n = -7*v + 59791, -2*n + 23914 = 2*v. What are the prime factors of v?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w - 1 - w + 6*w - 5. Let a be h(9). Suppose 15 = -3*u, a*z + u - 53 - 317 = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:07 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1\/(6 + 60474\/(-6048) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 12}. Give prob of sequence lcc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let a(t) = -139*t**2 - 33*t + 6457. Calculate k(a(f)).\nAnswer: -278*f**2 - 66*f + 12914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 3 - o - 3 + 3*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349700670.\nAnswer: 2, 3, 5, 11, 59, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, 6\/5, -7\/6, 1\/12 in decreasing order.\nAnswer: 6\/5, 0.3, 1\/12, -0.5, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2 (c) 0.123 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55011.\nAnswer: 3, 11, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -206, -770, -1904, -3806, -6674, -10706?\nAnswer: -16100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.082 - -4.918. Let p = 7\/36 + -4\/9. Let k = -2 - -4. What is the closest to p in k, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 + k + 48 - 3*k + 42 + 41 + 19 + 0*k.\nAnswer: -2*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -71997156 divided by -71997156?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28622695873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1394 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**3 + 479*r**2 - 80*r - 19. Determine a(-80).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 52 = -25*c. Suppose -4*d - 2*u = -122, 50*d + c*u = 47*d + 90. Suppose 6*p - 2*p - 128 = 0. Is p not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 20459*l**3 - 19*l**2. Let g(j) = -2273*j**3 + 2*j**2. Calculate -38*g(k) - 4*n(k).\nAnswer: 4538*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1611892, -3223781, -4835666, -6447547, -8059424?\n\"Answer: 2*z**2 - 1611895*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60916177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - 2*o**2 + 5535 - 11078 + 27*o**3 + 5543 as d + m*o**2 + p*o**3 + u*o and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, e: 7, o: 5}. What is prob of picking 2 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -4)*(-1)\/(-6). Let w = 12 + -7. Let r = w - 3. What is the smallest value in a, -5\/2, r?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6419494\/(-559440) + 12\/(-30). Let x = j - 1\/6993. Find the common denominator of 21*18\/63 + 19\/5 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1453, -5779, -12907, -22759, -35257?\n\"Answer: 13*x**3 - 1479*x**2 + 20*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514899?\nAnswer: 53, 101, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4305 is divided by 771.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - u - 26 = 0, -2*s + 28 = 24*u - 27*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8299601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.3 + -11. Let f = 1.7 + g. Sort f, 0.4, 8 in increasing order.\nAnswer: 0.4, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 4*i + 3. Let u(r) = -6*r**3 + 27*r - 21. Suppose 4*w + 4*a + 57 = -39, 5*a + 66 = -3*w. Let d = -25 - -21. Give d*u(k) + w*n(k).\nAnswer: -3*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 85897 + 48803 = 0. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41982, 41984, 41980, 41970, 41954, 41932, 41904?\n\"Answer: -3*t**2 + 11*t + 41974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = 0. Let c be 0*3\/(-12) + p. Solve -g + 2*l = -5, -2*g + 3*l + 4 + 2 = c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8964\/(-20916))\/(5\/10*2\/77)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/54546 and 95\/509096.\nAnswer: 1527288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - u + 80 = 0. Suppose -2*r - u*r = 0. Let f be ((-12)\/(-8) - -3)\/(14\/28). Solve r*v - 3*v + f = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 17 = h, 3*q = h + 6 - 5. Let f = 9 - -9. Let n = f + h. Solve -3*u + n*y + 26 = 0, 0 = -u - 3*y - 2*y - 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6553? (a) 4 (b) -5 (c) 0.4 (d) 0.41 (e) 1 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, -0.25, -1\/26?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 4*f + 5*f)*(251 - 532 - 453).\nAnswer: -1468*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.006 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/3*(-2)\/(-4). Let i(k) = 3*k + 4. What is the remainder when i(5) is divided by p\/9*3*11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2 - 7. Suppose -w*p + 7 + 8 = 0. Suppose -p*c = -c + 2*d - 52, -c = -d - 16. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 12*r**2 + 4*r**2)*(4*r + r + 0*r) + 3*r**3 + 7*r - 7*r.\nAnswer: 73*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(468)).\nAnswer: -24*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 3*q**4 + q**3 + 11*q**2 + 12*q + 4.\nAnswer: -(q - 2)*(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -54.5. Let r = 8 - 8.3. Which is the nearest to r? (a) 0.2 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from uuhuyiuuiyuuuuuuuuy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -4 - (19 + -31 + 31 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7792, 3, 1\/2.\nAnswer: 1\/2, 3, 7792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 0 + 0*i**3 + 0*i**2 + 1\/12*i**4 + 3*i. Determine g so that b(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 - 728*k**3 + 2160*k**2 - 2152*k + 716 = 0. Calculate k.\nAnswer: 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtzzrczciztzm. Give prob of picking 2 r and 1 m.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 533880*f - 17814240900 = 0. What is f?\nAnswer: 66735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -17. Find the third derivative of 220*h - 220*h + 8*h**5 - d*h**2 wrt h.\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + 174*p**2 - 1761*p - 443. Calculate s(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3905246924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 7*j - 9. Let t be p(4). Suppose 4*w - 5*r = 274, -t*r + 464 - 174 = 4*w. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28294821 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296*r**2 + 17*r**3 - 15*r**4 - 697*r**2 + r**4 wrt r.\nAnswer: -336*r + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u - 130. What is o(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*v + t, -75868*t + 75872*t = -4*v - 48 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5628 divided by 5628?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-57)\/19608*4*(-6)\/(-4).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 279, 276, 273, 270, 267?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (32 - 29) - -11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3415379 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37a09010 + -4?\nAnswer: 37a09009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30\/17, 1.45, -12.5, -0.5?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + sqrt(2880) + sqrt(2880)*1*6)\/(6*(sqrt(64) - (sqrt(64) - ((sqrt(64) - -1*sqrt(64)) + sqrt(64) + sqrt(64))))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274986150 divided by 175710?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + (-41 - -43) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-546)\/(-30))\/(((-1)\/(-8))\/(-4*45\/(-288)))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1423, -944, -541, -214?\n\"Answer: -38*m**2 + 593*m - 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 23 + 22 + 3*k**3 + 0.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/323646464 and 83\/44752?\nAnswer: 323646464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2. Let n(r) = -77*r**2 + 3*r + 3. Let m(l) = 152*l**2 - 5*l - 5. Let t(i) = 3*m(i) + 5*n(i). Give t(j(g)).\nAnswer: 284*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 58*(-3)\/42. Suppose 4*g + 19 = -2*b + 5, 5*g + 16 = -4*b. Let q = 0.7 - 0.4. Sort b, j, q.\nAnswer: j, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**2 - 81*a + 81*a - 39*a**2 + 114*a**2 - 16*a**2.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, 1\/2, -2\/15, 26, 48?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4270.93 to the nearest ten.\nAnswer: -4270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -302 - 18. Suppose -f*i - 8034 = -20394. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -15 + 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 625, -4, -2, 4 in decreasing order.\nAnswer: 625, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06629941 rounded to five dps?\nAnswer: 0.0663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299*s**3 - 5*s + 57?\nAnswer: 1794*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 0. What are the prime factors of 3 + -2 + -1 - o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q + 12. Suppose -4 = -q*u + 20. Suppose 0 = -4*z + 12, -2*f - 3*z + 8*z = -21. What is the highest common factor of u and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643905683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*-1*(-17)\/(17\/(-30)). Let q = 473 + f. What are the prime factors of q?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, p: 5}. What is prob of picking 1 g and 1 p?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/210*(-4)\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = 12*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42057 divided by -3.\nAnswer: 14019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-20)\/4))\/7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004372797 rounded to 5 decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 - 30*i + 136 = 0.\nAnswer: -34, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12\/25*(-95)\/57\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 - 7*o**2 - 2*o + 5. Calculate g(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6.99. Let t = 0.99 - z. Is t at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**4\/12 + f**3\/2 + f**2. Let i be r(4). Let o be -2*((-3)\/(-2) + 0). Sort 5, i, o.\nAnswer: i, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**8\/168 - 41*r**7\/35 + 743*r**6\/12 + 1489*r**5\/10 - 4898*r**4\/3 + 3844*r**3 - 1022*r**2. Solve x(o) = 0.\nAnswer: -3, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -1, 1, 2, -2\/5 in decreasing order.\nAnswer: 2, 1, -2\/5, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62498472 is divided by 897?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0*k**3 - 192*k + 0*k**2 - 1\/6*k**6 - 5\/6*k**4 + 0*k**5 + 0 + 1\/42*k**7. Find the third derivative of a(f) wrt f.\nAnswer: 60*f**2 - 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 0)*(-3*q**4 + 138*q**2 - 167040*q**3 - 1 + 167040*q**3) to the form l*q**3 + z*q**4 + p*q**2 + b*q + m and give p.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*c = 4*f + 12, c - 12 = 4*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.3. Let q = d + 0. Let p = 16.2 - 16. Which is greater: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -11. Let d be (6 - 0)\/(3\/2). Put d, c, -2 in descending order.\nAnswer: d, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 3619*p - 39572. Calculate o(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23 + 3 + -6 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4*3*29*20. Let k = -425 - r. Solve -k*y + 4*y + 30 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 + 1579*j**4*n*y**2 + 4*j*n*y**2 - 2*j*n - 2*j*y**2 - 285*y wrt j?\nAnswer: 40*j**3 + 18948*j**2*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + f858b?\nAnswer: f8593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 577630718 a multiple of 1983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32338310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 200 + -201.13. Let p = -0.13 - n. What is the nearest to p in 2, 2\/3, -2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002755100474 rounded to seven dps?\nAnswer: 0.0002755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00078187 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19540 - 22165. Which is bigger: -1\/5 or n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-30) - (-1362)\/15. Suppose -396 = -2*k + 4*p, 0 = -f*k + 88*k - 2*p + 390. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 - 15*k**4 + 10*k**3.\nAnswer: 5*k**3*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113987969.\nAnswer: 43, 823, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - -0.16. Which is the closest to 0? (a) x (b) 3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.35072 to zero dps.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4605a2 (base 11) to base 2\nAnswer: -10110010111001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(5 + 3 + sqrt(68)) - (-2 + 0 + sqrt(68) + sqrt(68))*-3))**2.\nAnswer: -204*sqrt(17) + 2669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-15) - ((-65)\/15 + 6). Let q(b) be the first derivative of n*b + 1\/6*b**2 - 2\/9*b**3 + 40 - 1\/12*b**4. Find s such that q(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 10511 in increasing order.\nAnswer: -5, -2, 10511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*l = 3*n - 21, 4*l = -5*n. Solve n*b = 2 - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a86a0 (base 11) to base 16.\nAnswer: -3119c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 64, 135, 234, 361?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/60 - o**4\/6 + 13*o**3\/6 - 3*o**2 - o. What is d(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6416*d**3*j**6 + 2*d**3*j**3 + 2*d**3*j**2 + 5971*d**3*j wrt j.\nAnswer: -769920*d**3*j**3 + 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**2*u**4 + 2*s**2*u**3 + 4625*s**2*u**2 - 4032*s*u**3 wrt u?\nAnswer: 96*s**2*u + 12*s**2 - 24192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -377152 (base 8) in base 6?\nAnswer: -2444534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/1*(-30)\/9. What is the smallest common multiple of 20 and 2\/10 + 178\/v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26964)\/(-450) - (-2)\/25 - ((-64)\/4 - -20).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 2*n - n)*(-6*n + 8*n + 3*n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100) + -1 + sqrt(1100)*-2*5)**2 + 0 + (sqrt(99) - (sqrt(99) - (-5*1*sqrt(99) + sqrt(99))))\/(-2*-1*sqrt(9)).\nAnswer: 218*sqrt(11) + 133101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 2, w: 2}. Give prob of sequence ww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 11 = -0. Let o be 3\/(9*2\/192). Let d = o - t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -102, -123, -142, -159?\n\"Answer: i**2 - 26*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6397*t - 780. Is x(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, p: 1, q: 3, f: 6, t: 5}. What is prob of sequence pf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + -18 + 21 - (2 + 21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 152 - 5?\nAnswer: 14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4361 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456474284 to the nearest integer?\nAnswer: 21365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 266*f**2 - 18875*f - 737. What is s(71)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 23*w - 14. Let f be q(11). Which is the nearest to 3? (a) f (b) -5\/3 (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 10*b = 196. Suppose -l - 1 + 5 = 0, -5*a = 5*l + 320. Let v = a + b. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.449 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 5*p + 3, 4*c = -p + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttddtttddjt. What is prob of sequence tdtj?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*3\/45*(62 + (-4 - 60))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-613*a - 72*a - 222*a + 97*a - 505*a)*(8*a + 2*a + 0*a) to r*a**2 + t + s*a and give r.\nAnswer: -13150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345 + -1036\/3. What is the biggest value in -2.6, 0.4, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 151886969?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 + 237 + 7*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.35 and 7858561.\nAnswer: 7858556.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 5*r + 6. Let w be y(-4). Let v = -0.7 - -55. Let s = v - 54. Which is the nearest to w? (a) 2 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Suppose 86 = 4*o - 2*q, x*q + 80 = -2*o + 6*o. What are the prime factors of -3 + (-1)\/(-1)*o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272419 divided by 38917.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010653922 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11406455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*f**2 + 980*f + 588.\nAnswer: 4*(f + 7)*(32*f + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k - 2. Let n = -5 + k. Is 25 - (0\/n + -2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/9 - 272*v**2\/9 - 984*v = 0. What is v?\nAnswer: -82, -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-4)\/(12\/9). Suppose l = 3*i + p + 17, -3*p = 4*i - 4*p + 11. Which is the second smallest value? (a) -3\/5 (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367.25 + -911.33.\nAnswer: -544.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.045 - -13. Suppose 245*g - 69*g + 58*g - 234 = 0. Which is the second smallest value? (a) 3 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:47 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20408 is divided by 822.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 9. Let l = t + 5. Let v = 2 + l. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**8\/3360 - q**7\/560 + q**6\/240 + q**5\/15 + 2*q**2. Let z(t) be the third derivative of l(t). What is x in z(x) = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 3.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 569144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3149794 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 18*g - 228 = 11*c, 23*g + c + 128 = 25*g - 5*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuj when three letters picked without replacement from {j: 3, u: 3, k: 1, y: 3, v: 2, t: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 5*n**5 - 3*n**5 + (4*n + 8 - 8)*(3*n**4 + 2*n**4 - 2*n**4) + n**5 + 0*n**3 + 0*n**3 + (0 - n + 0)*(-2*n**4 + n**2 - n**2).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21459038 and -0.9.\nAnswer: -19313134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4121)\/(-156))\/((-363)\/39543178). Let x = c - -2877683. Let f = x - -1\/121. Does f = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let o = -1214\/5 - -243. What is the closest to d in o, -5, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2054 and -64\/9.\nAnswer: 18486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) -0.23 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23323057*g**5 + 17*g**3 + 32*g**2 - 10067235.\nAnswer: 1399383420*g**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181 + 180. What is the second smallest value in g, 0.5, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 5 in decreasing order.\nAnswer: 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 9. Let d be (-2 + -9)\/(1\/1). Let a = -18 - d. Is n(a) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.71899726 to three dps.\nAnswer: -5.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 216 + -217. Let p(g) = -3*g - 13. Let s be p(-5). Which is the nearest to 0.1? (a) 4\/3 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138403.\nAnswer: 138403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -39)\/(22*6\/(-8))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -17 + 1 + 3 - -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 24*v**2 - 30*v - 5. Let u be j(25). What is the common denominator of (-1659)\/540 - (u\/18 - -7) and -15\/362?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m**2 + 18*m**2 - 11*m**2 - 6*m**2. Let s(b) be the second derivative of b**3\/2 + b. Give s(r(u)).\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -513 + 518. Suppose 85 = k*s - 60. Solve 4*m = 5*l - 17, -4*l = 3*m - s + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48619745 to the nearest integer?\nAnswer: 6973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/7)\/(f\/(f*f*f*f**(-4)*f*f))*(f\/((f\/((f\/(f*f\/(((f**(2\/3)\/f)\/f*f)\/f)))\/f*f))\/f))**(-15) assuming f is positive.\nAnswer: f**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 143*v - 661. Let j be t(-5). What is the second biggest value in -1.6, -8, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94902 and 2562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596490678 divided by -42.\nAnswer: 14202159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99586877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8012, 9169, 10328, 11489?\nAnswer: 12652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-92)\/6)\/((-14)\/(-21)). Let j = 17 + h. Let n(b) = b**3 + 6*b**2 + b + 7. Calculate n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r + 5*c - 20, -c = 4*r - 118. Suppose 10*f - r = 8*f. Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000038305 to 7 decimal places.\nAnswer: -0.0000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*n - 9, 0 = 2*t + t - n - 17. Suppose 6*s - t*s - 121 = 0. What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*2*3 + (sqrt(700) + 2*sqrt(700) + sqrt(700))**2 + sqrt(49)\/(sqrt(7) + sqrt(28)\/sqrt(4)*2).\nAnswer: 19*sqrt(7)\/3 + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 80 = -4*i, -q - 24 = -i - 0*q. Let l = 388 + i. Suppose 0 = -g + 3*p + l, 2*g + p - 841 = -0*p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/15 + (-28)\/(-6). Put s, 0, 2 in descending order.\nAnswer: s, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 435 and 1410.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215\/1426 + -4\/31. Let q = 272 - 3211\/12. Calculate the common denominator of n and q.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(0 + 0 + 2*n) + (40*n - 73*n + 45*n)*(1 + 2 - 1).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 123037.6g?\nAnswer: 123037600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 8:17 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 7*a**2 - 18*a**2 + 10 - a**2 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:56 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - l. Let g be s(1). Let x be 58\/3 + g\/3. Calculate the common denominator of 25\/22 and 0 + -1 - 22\/x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261 + -249 - (20 + -3) - 67\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:20 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, -0.0465145?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122050391 is divided by 114709.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 <= -93562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -6 + 2 + 2 + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -482300 greater than -482299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*p**4 + 1903*p**2 - 12036 wrt p?\nAnswer: -56*p**3 + 3806*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. What is the remainder when 31407\/435 + (8\/10 - 0) is divided by 0 + 2 + a - -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = -k, 3 + 3 = 3*d. Let v be 290000\/(k - (-2)\/100*49). What is v rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**4\/4 + 5*t**3\/3 - 5*t**2\/2 - 3*t - 4. Does 7 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42750 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -13 (b) 4 (c) 23 (d) 0.521 (e) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 651, 265, -135, -555, -1001, -1479, -1995, -2555?\n\"Answer: -p**3 - p**2 - 376*p + 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**6\/2 - 9*t**5\/5 - t**4 - 128*t + 2. Solve l(b) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*w - 1 + 1)*(31*w + 28*w - 12*w) to the form p*w**2 + s*w + x and give p.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11700 (base 12) to base 10\nAnswer: -23472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86890.91mg in kilograms?\nAnswer: 0.08689091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b08 (base 13) in base 12?\nAnswer: -b303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -4.7. Let f = -44 - -58. Let x = 9 - f. Put x, j, -5\/2 in decreasing order.\nAnswer: j, -5\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -115*j + 462. Let p(f) = -676*f + 2772. Let x(r) = 34*o(r) - 6*p(r). Find the first derivative of x(b) wrt b.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 1112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 8. Let a = 5.8 + w. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5590*y - 409. What is the tens digit of o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247340.\nAnswer: 2, 5, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 374*z - 379*z - 10573450, 5*z = 5. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19772*o*p**2 + 2403*o*p - 4*o + 19*p**2 - p + 1 wrt p?\nAnswer: -39544*o + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 210 = i. Let w(u) = -u**3 - 13*u**2 - 6*u - 16. Let r be w(i). Calculate the greatest common factor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) + -2)*5 - sqrt(21)\/(sqrt(1008)*-2))**2.\nAnswer: -3605*sqrt(3) + 1211041\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37309670 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53\/378 - -55\/378. Which is the closest to -1\/7? (a) -0.5 (b) 3\/31 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 9 - (4\/(-16) + 72\/32).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + 12. Let w = 114 + c. Suppose -69 = -k - 2*k - 3*h, -2*k + 44 = h. Calculate the highest common divisor of k and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*x + 2*v, -4*x - 9*v - 55 = -8*v. Let c be (-3 - (x - -6))*(-15)\/(-4). Which is greater: 46\/3 or c?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*b + 5*l + 22, 5*l = -10. Suppose -2*p + b = -2*q, -3*q + 1 = p - 2. Suppose p*g - 1 = 17. What is the remainder when 9 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36381665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 11 - 1, 24 = m - 5*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (2726\/4)\/(95\/133 - 6\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 25*p + 3 + 3292*p.\nAnswer: 3317*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by (-110)\/(-4)*(-20)\/(-650)*182?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -5*(sqrt(539) + 0) + sqrt(539)).\nAnswer: -20 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -109, -111, -113?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/8 - 105*p**2 + 3*p\/8 + 105.\nAnswer: -3*(p - 1)*(p + 1)*(p + 280)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + 0 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/9))**(-13))**19\/((a**(-2\/5))**(-18)*((a\/a**(-1\/3))\/a*a)**(-13)) assuming a is positive.\nAnswer: a**(-8189\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3196018 and 3010.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 453330 divided by 230\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 6497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 4*p**2 + 11*p**2 as j*p + x*p**2 + n and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 5*w - 2 + 0*w + 0*w. Let g be b(8). Calculate the highest common divisor of 56 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 9*b**2 - 2. Let o = 11 + -2. Let j be z(o). Let u = 0 - j. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 2. Let i(j) = j**3 - 2*j + 3. Let m be (39\/33 - (-6)\/(-33)) + -6. Let g(k) = -k - 2. Let t be g(m). What is t*y(f) + 2*i(f)?\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -2.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 560\/20020 + (-2)\/11. What is the fourth smallest value in g, 5, 0.2, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -221018*c**3 - 682*c + 592285262?\nAnswer: -663054*c**2 - 682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 11*x + 3. Give k(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -170840889?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-33 - -38) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13552 greater than -13544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d - 203. Let i be j(-26). Solve -3*v = v + 5*a, -9 = i*v + 4*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 7. Let n(f) be the first derivative of f**2 + 10*f + 91. Determine 7*b(u) - 5*n(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + (-12 - (0 - -10)) + 36?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -27. Let j = o + -1.09. Let y = j - -1.09. What is the closest to -0.1 in -2\/7, y, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1182190616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 11, 2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11000100110111?\nAnswer: 11000100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ccb - -1?\nAnswer: 1ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 3882*m**3.\nAnswer: 3882*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/63653758 and 89\/2?\nAnswer: 63653758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/42164576 and -145\/79656.\nAnswer: 126493728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 6*g + 6. Let q be h(6). Suppose q*v + 2 = 7*v. Solve 1 = f - 7*l + v*l, 5*f - 5*l = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -28 + 25 - (-1 - 3)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-9)*u)\/(u\/u**(-10\/7))*(u**(1\/4)*u)**(-1\/11) assuming u is positive.\nAnswer: u**(-2939\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -9*d**4 - 56*d**3 - 93*d**2 - 54*d - 8 = 0.\nAnswer: -4, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 + 247. Solve -4*c = -6*c - 4, 4*f + 4*c + s = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32981 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 980401141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*g**2 + 188*g**2 - 95*g**2 - 2*g**3 + 109*g + (-5*g + g + 2*g)*(0*g**2 + 2*g**2 - 4*g**2).\nAnswer: 2*g**3 + 2*g**2 + 109*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 925*h + 20. Let f(b) = -925*b - 17. Give -6*f(w) - 5*l(w).\nAnswer: 925*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 24*w**2 - 109*w - 29. Let g be l(9). Let y(k) = k - 3. Let n be y(7). Suppose n*d - 4*j + g = 11162, 2*d + j = 5114. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -101. Let r(l) = l**3 - 5*l**2 + 4. Determine r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2075073216 to the nearest integer?\nAnswer: 45553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyduuudduudvunuu. What is prob of sequence dy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 + 24c9?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192 - -445. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*b + 3*l, 5*b = -2*l - 187 + 199 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 16*v = 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.2975 tonnes in kilograms?\nAnswer: 828297.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 - 119 = -2*s. Let r = -29 - s. What are the prime factors of r?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/4500*4)\/(-1 - (-20)\/36).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10534.62 + -10383. Let q = 153 - r. Round q to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426243 by -3.\nAnswer: 142081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -45. Let u be (48\/36)\/((-8)\/f). Suppose 0 + q**u - 1\/3*q + 2\/3*q**2 = 0. What is q?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5472) + -2*sqrt(5472)))\/(2*((sqrt(2) - (sqrt(2) + sqrt(72)*2)) + sqrt(2))).\nAnswer: -36*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156548000 rounded to the nearest 1000000?\nAnswer: 1157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 25\/336*d**8 + 0*d**6 + 0 + 13*d**2 + 0*d + 0*d**3 + 7\/12*d**5 + 0*d**4 + 0*d**7. What is the third derivative of n(b) wrt b?\nAnswer: 1500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 19*u**2 + 25*u - 24. Let y(r) = r - 19. Let m be y(-2). What is the hundreds digit of z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 6*x - 152. Put 0.5, -104, x in ascending order.\nAnswer: -104, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 * 5\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 383. Let n(b) = -4*b**2 + 23*b. What is u(n(p))?\nAnswer: -4*p**2 + 23*p + 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39 - (1\/(-4))\/(5\/(-100)). What is the remainder when 375 is divided by w + ((-26)\/(-7) - 8\/(-28))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3311011 + 5?\nAnswer: -3311003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 26 - 1. Let j(i) = -i**3 + 5*i**2 + 5. Calculate the smallest common multiple of (1\/1)\/(2\/6) and j(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/132 and -85\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/5)*b\/(b\/(b*b**(-2\/21)\/b*b)))\/(b**(-2\/7)*b**7))\/((b*b**(-1\/2))\/b**(3\/5))**(2\/5) assuming b is positive.\nAnswer: b**(-2609\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**4 + 971*o**3 - 13 - 487*o**3 - 484*o**3 + 71 + o + o**2 as x*o**2 + b + p*o**3 + n*o + s*o**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5792 and 1267.\nAnswer: 40544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3629566540 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -92, -132, -168?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144381352 divided by 50536.\nAnswer: -2857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 302123209*n - 94752484 wrt n.\nAnswer: 302123209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -371\/8 (b) 4 (c) 2\/3 (d) 0 (e) -3 (f) -3\/19 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - (-31)\/5. Suppose -2*s = -o - 2, 2*o - k = -5*s + 8. Solve o*t + 4*i = 16, 5*i = 2*t + t + 31 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -9\/40*k**6 - 13\/5*k**5 + 0 + 0*k + 9*k**3 - 85*k**2 - 69\/8*k**4. Determine i so that g(i) = 0.\nAnswer: -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 214 and 87?\nAnswer: 18618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**20)\/w**(2\/17))\/((w**(-16\/3)\/w*w)\/(w*w*w**(-1\/6))) assuming w is positive.\nAnswer: w**(-1219\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 125\/(-20))\/(3\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -240 or 4\/7441?\nAnswer: 4\/7441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2356942 or 0?\nAnswer: 1\/2356942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*r + 13, 0 = 3*d + 5*r - 4. Let o = 0.973 + 0.027. Which is the closest to -0.08? (a) o (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162960?\nAnswer: 2, 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddztztdztdddttttttz. What is prob of picking 2 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -3 + -1)\/(6\/30). Which is smaller: 95\/6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/652170 and -27\/610.\nAnswer: 39782370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.155284 or -2\/765?\nAnswer: -2\/765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sessn. What is prob of sequence sns?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/21)\/b)\/(b\/(b\/(b*b\/(b\/b**(2\/111)))))*(b**(5\/3))**(-39) assuming b is positive.\nAnswer: b**(-17407\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-663)*130*(-17)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 20*s + 67. Let w be p(-15). Is -7 + (-15)\/(-2) + (-5188)\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 5) + (-7126973)\/(-2375657). Let c = k - -1848260948\/235190043. Let o = c + -84\/11. Is o > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 + 111 = 31*z. What is the second derivative of z*c**3 - 9*c**2 + 11*c - 96*c + 10*c**2 wrt c?\nAnswer: 78*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004\/132*(240\/(-84) + 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 47 - 402 = 5*d, 4*d - r = -361. Which is smaller: -89 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/32 and 95\/372.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p + 89. Let f be j(-7). Suppose f*n + 16 = -q + 3, 5*n = -5*q - 5. Which is the second biggest value? (a) q (b) 6 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 3*k - 7 = 14*a, -a + 14 = -5*k. Calculate the common denominator of 35\/6 and 0 - (a - (-465)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2996*j - 2988*j - 24 = 0. Solve -j*x + 10 = -5*x - 4*y, -3*x = y - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -1\/6 (c) -197559 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62881421 and 19.\nAnswer: 1194746999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*i = -173*i + 29 + 19 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -61288782621.\nAnswer: 61288782621.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 123, -0.3, -1\/5?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -22. What is the nearest to a in -2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*a, 2*b + 2*a = 518. Let j = b - 151. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 13 = 5. Let u = -3 - g. Let x be 0 + (1 - (-8)\/(-5)). Which is the smallest value? (a) u (b) 1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (567\/168)\/(3\/((-24)\/(-10))) and -89\/13702.\nAnswer: 68510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29812 + 29814. Which is the smallest value? (a) 5\/3 (b) 1\/3 (c) u (d) -2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 2*m**2 - 5*m + 3. Let c be d(3). Let y be ((-7)\/3)\/(c\/(-18)). Let j be 2\/14 - (-4)\/y. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13586 is divided by 4526.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 57*b + 111. Let p(k) = -2. Let s(u) = a(u) - 7*p(u). What is the first derivative of s(v) wrt v?\nAnswer: 2*v + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 5. Let x be c(4). Suppose -x*z = -372 + 123. What are the prime factors of z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9654824.52 to the nearest 10000.\nAnswer: -9650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31804*m**4 - 557669?\nAnswer: -127216*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*i + 373*i + 9200 = -361*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330 (base 6) to base 16.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29565, -121049, -273521, -486981?\nAnswer: -761429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1381656*j + 1381649. Calculate z(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**4\/16 + j**3\/4 - j**2\/4 - 6. Determine w, given that u(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17317082, -34634161, -51951228, -69268277, -86585302, -103902297?\n\"Answer: l**3 - 17317086*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (2 + sqrt(700) + -1)*1)**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1205316\/(-27)*(-18)\/7. Suppose -3*z - 5*z = -n. Suppose x = 4*x - z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7528220 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 637239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) 4 (c) -0.196 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33140435*j**4 - 98638*j + 317?\nAnswer: -397685220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**3 - 6*l**2 + 7*l - 1. Let q be d(1). What is the tens digit of q\/39 - 134064\/(-117)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114981 + 2*v**2 + 5*v**3 + 6*v**2 + 114981.\nAnswer: 5*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.14 + 818418810.\nAnswer: 818418807.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 19. Let o be x(-19). Let t be -5*(-4 + 8 + -5). Solve o = t*j + 6 - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 5, k: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {l: 2, a: 1, c: 2, x: 2, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 21*i - 108. Let j be b(14). Put -1, j, -2, -86 in increasing order.\nAnswer: -86, j, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/((m*m\/(m**(-5)\/m)*m)\/m*m*m))\/m))**(-28\/5) assuming m is positive.\nAnswer: m**(-308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13384290 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**4 + 2910*v**3 + 390*v**2 + 9758486*v wrt v.\nAnswer: -36*v**2 + 17460*v + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/85 + -20\/17. Let g be (0 - 1) + (-15)\/(-21). What is the closest to g in 1\/2, v, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8304, -31 in decreasing order.\nAnswer: -2, -31, -8304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 22\/3 - 1\/3*q**4 + 35\/3*q + q**2 - 11\/3*q**3 = 0.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3726*d**2 + 8254*d wrt d.\nAnswer: -7452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 180*k**3 - k**2 + 5510*k - 436. What is the derivative of i(c) wrt c?\nAnswer: 1080*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -32\/5. Let v = 29489 + -29487. What is the closest to v in -0.04, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 16\/(-4) + 136\/1. Solve -133 + m**4 + t + 3*m**4 - 8*m**3 + 4*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 20 + 55 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -151?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**2 - 7*x + 6. Let d be u(6). Let n(l) = 48*l + 180. Let k be n(-3). Calculate the greatest common divisor of k and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 4. Let a(v) = 2*v + 1. Let s be a(-3). Let k be ((-1)\/(-1)*0)\/1. Let c = s + k. What is p(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38513 divided by -1400\nAnswer: -38513\/1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37934\/9 - -4210. Let h = 437\/90 + j. Let t = -2\/15 + h. Which is the smallest value? (a) t (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88847 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 - -1 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/3 - 2*t\/3 - 96 = 0.\nAnswer: -16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 12, -0.22, 0.06, 57?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*43.5\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 968480, 3873918, 8716314, 15495668, 24211980?\n\"Answer: 968479*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8863011.\nAnswer: 3, 41, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1225b + 4?\nAnswer: -12257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 33 = -3*q - 68, 0 = -3*q + 12*j + 84 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/3, 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5727*h. Let j(m) = -m. Give j(l(g)).\nAnswer: 5727*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -1.02. Let v = 3.96 + g. Put 3\/8, -1\/3, -4, v in ascending order.\nAnswer: -4, -1\/3, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445202741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.59 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*y + 3*u, -16*y - 17 = -18*y - 5*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1302, -1\/7, -8, 4 in increasing order.\nAnswer: -1302, -8, -1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - h)*(-18*h + 12*h - 16*h).\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1659*p**3 - 1983?\nAnswer: 4977*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5 + 104195962*h**4 + 5146116*h**2 + 6*h wrt h?\nAnswer: 60*h**2 + 2500703088*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*t - 27 = 0, -2*i - 2*t + 0 = 2. Let y(o) be the second derivative of -1\/42*o**i + 0 - 4*o + 0*o**3 + 1\/7*o**2. Solve y(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 9 = -3. Let q be 15\/17*(-262)\/(-3). Let h = q - 77. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -178.7 and -0.794?\nAnswer: 141.8878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 3*w - 4*w - 3*w + 55. Let z(d) = -10*d + 55. Let q(f) = -3*o(f) + 4*z(f). What is the first derivative of q(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2192 + 1937 = 724*i - 118 + 627 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 261*p**3 - 500*p**3 - p**2 - 5*p - 16 + 247*p**3 + (4 - 4 - 2*p)*(-p**2 + p**2 - p**2) in the form b*p**2 + h*p**3 + k + w*p and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 + -126. Let z = 349 - q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 2717012.\nAnswer: -2717012.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, p: 2, v: 4}. Give prob of picking 1 p and 1 v.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -289\/67492?\nAnswer: -289\/67492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/3753 and 17\/9012420?\nAnswer: 3758179140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9095.37486 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 156. Let y(m) = -7*m. Determine y(d(h)).\nAnswer: -7*h + 1092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11440 + 1?\nAnswer: -11437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3675 + -0.36748293. What is m rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 11*y**2 + 18442*y - 202854. Give l(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = -15*k - 18*o - 41, 3*k = 2*o + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntn when three letters picked without replacement from {t: 4, w: 1, b: 2, n: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggp. What is prob of sequence gp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -36*q + 28. What is the units digit of u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - i**3 + 2*i**3 + (8*i + 8*i - 7*i)*((-2 + i**2 + 2)*(-1 + 1 + 1) + 3*i**2 - 3*i**2 - 2*i**2 + 2*i**2 + 4 - 4).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86618?\nAnswer: 2, 7, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 3:11 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -41.1. Is 0.35 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493*y**3 + 1483*y**3 - 658774 + 658774.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15959783 is divided by 160.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 12*m + 1. Let s be k(12). Suppose 0 - s = -t. Let p(o) = 7*o**3 - o**2 + o - 1. What is the units digit of p(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -120. Let z = w + -56. Calculate the lowest common multiple of z and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15681*w**2 - 139*w + 35 wrt w?\nAnswer: -31362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6149346*k - 5626415?\nAnswer: 6149346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -478*w**2 + 951*w**2 - 474*w**2. Let s(v) = -v**2 - 2*v. Let f(i) = -7*i - 2*i**2 - 2*i - 2*i**2. Let b(h) = 4*f(h) - 18*s(h). What is b(j(p))?\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 10. Let v = -8.95 + 4.95. Which is the third biggest value? (a) -5 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/7 - 10\/35. Suppose -x*b + 27 = -0*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/4)\/((-3)\/8). Suppose -c = -2*c + 9. Suppose -c = -5*d + f. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)*-3*24\/(-72). Solve -m = 23*r - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7639949 is divided by 3819968?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 25*k - 222. Let r be n(9). Put -2, r, -17, -1 in decreasing order.\nAnswer: r, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*c + 155*c = 26230 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15219497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 577307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 11*z**2 + 10*z + 8. Calculate the remainder when m(-12) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2079, -2078, -2077, -2076?\n\"Answer: i - 2080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddffoddwwodf. Give prob of sequence fw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 53 + 23)*(-1 + 2*z**3 + 1).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 + -3.3000468. Round c to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7)\/c)\/c*c\/(c*c**16)*(c**(9\/4))**(-35) assuming c is positive.\nAnswer: c**(-2705\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/(3\/478446) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = r - 9, -2*n - 25 = -3*r. Let l = 30 + -27. Suppose 0*p = -l*p + 99. What is the highest common factor of r and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 20 = -3*l, 45 = 4*l - 4*n - n. What is the least common multiple of l and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.42, 1\/6, -0.1, 0.464, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in -0.579273, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -9, -1, 23, 69, 143, 251?\n\"Answer: j**3 - j**2 - 6*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 - 52*o**4 + 338*o**3 = 0. Calculate o.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 65 = -9*z. Let q be 225\/(-30)*(1 - z). Suppose -4*n + 24 + 12 = 0. Calculate the greatest common factor of n and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 1\/9*w**3 + 1\/30*w**6 + 49*w + 1\/252*w**7 + 0*w**2 + 13\/120*w**5 + 1\/6*w**4 + 0. Factor o(t).\nAnswer: t*(t + 1)**2*(t + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0027 + -92.5973. Let i = -93 - n. What is the closest to -2 in -5\/4, 6, i?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*i + 12, -9 - 9 = -3*i + b. Let t be (4\/(-6))\/((-4)\/i). Let j(y) = 11*y + 1. List the prime factors of j(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30953690*x**4 - 3935073*x**2.\nAnswer: -742888560*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - 2*a**4 + a**4)*(-6 - 13 - 1 + (-1 + 1 - 2)*(-5 + 1 + 2)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1380 and 1094180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39 + (6 + 0)\/(2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/60 + 5*m**4\/24 - m**3\/3 - 5*m**2\/2 - 2*m. Let d(l) be the first derivative of u(l). Calculate d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33441 (base 6) in base 3?\nAnswer: -20110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 162 = 28*q + 20*q. Solve 258 = -q*j + 261 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711822.7 meters in kilometers?\nAnswer: 711.8227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 2*(119 - 4). Let n = y + -197. Calculate the remainder when 1\/(-2) - (-205)\/2 is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9027, -1\/4, -5?\nAnswer: 9027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 + 7*k - 1. Give r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2271 = 352*p - 15295 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d - 590 + 2361. Let j = 357 - d. Suppose 216 = m - f, -5*f - j = -2*m + 224. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -8*z**3\/3 + 7*z**2\/2 + 46*z - 109. Differentiate r(o) wrt o.\nAnswer: -16*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(sqrt(190) + sqrt(190)*2)*-6)\/((sqrt(120) - (sqrt(120) - (sqrt(120) - 2*sqrt(120)*-2)) - sqrt(120))\/(sqrt(900)\/sqrt(3) + sqrt(12))).\nAnswer: 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 6013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(336\/160)*15*(-92)\/(-8625)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113397025 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:21 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 3*v - 13 = 6*w, -2*w = -3*v + 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 70 = 41. What are the prime factors of d?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410425884 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -447 - -1669. Calculate the remainder when i is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2004 + 0.2004. Which is the closest to -1? (a) 1.16 (b) d (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18.0698148us?\nAnswer: 0.000000000209141375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q = -151*q + 1424*q - 36504 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.50198ns?\nAnswer: 0.00000000050198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -3.5874?\nAnswer: 3.4874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -2*f**3 - f**2\/2 + 2*f. What is the first derivative of h(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3387.\nAnswer: 1354.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*q**2 + 59*h**3*q - 122*h*q**2 - 652*h wrt h?\nAnswer: 12*h*q**2 + 354*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2328\/7 - 332. What is the nearest to -17 in i, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -18*d - 9. Let s(c) = -19*c - 11. What is -5*l(r) + 4*s(r)?\nAnswer: 14*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*f + 8752 - 40486. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-1 - -25))\/(509\/(-7126)). Let a(u) be the second derivative of 0 + 0*u**2 - 3*u + r*u**3. Let y(h) = h**2. What is y(a(c))?\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*y = -0*c + 3, -3*y = -3*c + 6. Which is smaller: c or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14751089.\nAnswer: 14751089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 15*t + 53*t + 130 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 11. Let o be l(-6). Suppose 5*s - 66 = -21. Solve o*g - 11 = s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-255)*(-60)\/(-20))\/(2\/4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.2 * 1.83.\nAnswer: -60.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.13 + -1.13. Let b = 0.52 - 0.02. Sort 1, q, b in ascending order.\nAnswer: b, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-27)*(-1)\/(-1). Let l = -0.13 + -3.87. Let h = 9 + l. What is the second biggest value in 4\/3, h, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -17236472?\nAnswer: -17236472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-11)\/(-99)*-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 12*n - 11. Let u be g(16). Let y = 132 + u. Suppose 2*o + 51 = y. Solve 0 = o*r - c + 2, 0 - 14 = -3*r + 5*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 18 - 185*c + 1 + 0 + 180*c. Give b(-7).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4*w**2 + 75716713*p**3*w**2 - 13*p**2*w**2 + 3*p**2*w + 2*p*w**2 - 582*w**2 - w + 2 wrt p?\nAnswer: 48*p*w**2 + 454300278*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -7, 27, -165, -6?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 5 + 0)*(-2 + 2 + 2)*(71*u**3 - 927 + 927) to the form h + t*u + c*u**3 + i*u**2 and give c.\nAnswer: 1704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-1 + 1 - j) + (-3 + 3 + 2)*(2*j + 2*j - 3*j) + 1 - 149*j + 285*j - 141*j.\nAnswer: -5*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/12)\/((-2)\/(-6)). Let k = -6 - j. Let m(y) = y**3 + 13*y**2 + y + 23. What is the least common multiple of m(-13) and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271\/5368 + -3\/88. Let c = 194\/671 - o. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0001 - -241.9999. Let m = 111 - c. Let u = m - -130.886. What is u rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(72) + 3*sqrt(72)))*-5 - ((sqrt(88)\/sqrt(4))\/sqrt(11)*-1)**2.\nAnswer: -2 + 115*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9982 - -9984. Determine g, given that -10\/3*g**2 + 0 - 4\/9*g - j*g**5 - 58\/9*g**4 - 22\/3*g**3 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/27*6\/38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -96\/5*k**2 + 512\/5*k + 8\/5*k**3 - 1\/20*k**4 - 8. Determine q, given that c(q) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 16, k: 2}. What is prob of sequence rrr?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 64 = 2*w - 2*h, 3*w + h - 118 = 0. Suppose 2*n - w = 10. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/30*(-1)\/6)\/((-23)\/(-14352)*26).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspppsnnpssndf. What is prob of sequence ps?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*h - 49. Let b = 22 - h. Solve b*v - 5 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 5. Let l(x) = x + 2. Let v be l(2). Let w be k(v). Solve -4 = w*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 + 354 + -2 + 3 - 31?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 580.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -25\/4*t**4 + 0*t**2 + 10\/3*t**3 - 3 + 0*t + 4*t**5 - 5\/6*t**6. Factor z(b).\nAnswer: -5*b**2*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 7 (b) 0.2 (c) -244 (d) 3\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -6794d?\nAnswer: -6793e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 13*q - 8. Suppose -8 = -4*r + 2*b + q*b, -5*r - 3*b + 26 = 0. Solve 0 = r*y - 4*w, 0*y + 32 = 5*y + 3*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22061040*u**2 - 66584489*u wrt u.\nAnswer: -44122080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {p: 1, s: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(495)\/(-1*sqrt(9) - sqrt(9)))\/sqrt(5) + 2 + 5 + (sqrt(11) - sqrt(44))**2 + sqrt(11) + sqrt(11) + sqrt(11).\nAnswer: 5*sqrt(11)\/2 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 7*s + 13. Suppose -31*q - 421 - 123 = 37*q. Give w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 6 + 9*p - 8 - 8.\nAnswer: 9*p - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.822 less than -1.50562?\nAnswer: -0.68362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6734, 51652, 173572, 410996, 802426, 1386364, 2201312?\nAnswer: 3285772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 3628144?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09568576 rounded to three decimal places?\nAnswer: -1.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 - 1)*(-2*t**3 - 3*t**3 + 2*t**3).\nAnswer: 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-4*(sqrt(88)*-1 + sqrt(88)))\/(sqrt(48)\/(sqrt(6) + sqrt(18)\/sqrt(3)) + sqrt(8) + sqrt(512)*2))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5032*s**2 - 259. Let x(z) = 39*z**2 + 2. Give -2*k(q) - 259*x(q).\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -1\/10*l**5 + 0 + 0*l**6 + 3\/70*l**7 + 0*l + 0*l**3 - 7*l**2 + 0*l**4. Find the third derivative of t(h) wrt h.\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663.295 years in centuries?\nAnswer: 76.63295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 bigger than 503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(46\/7)\/((-216)\/(-567))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2111.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 7*n**3\/6 + 3*n**2 - 90*n. Let q(f) = 13*f + 11. Give 11*h(x) - 6*q(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/6 + 2\/6. Let x be 2 + (-2)\/2 + p. Suppose u = 3*b - 6*b + 41, 4*u + x*b = 196. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 500238618?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145*25.\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence babb when four letters picked without replacement from bbbabbbbaatta?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -143, -212, -257, -272?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axa when three letters picked without replacement from aaaxassbxbxsbkbyk?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -23*q**5\/15 + q**2. Let g(a) = a**2 - 3*a. Let b(w) = 7*w**2 - 12*w. Let f(v) = b(v) - 4*g(v). Give z(f(u)).\nAnswer: -828*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - 10 - 5*-2. Solve 0 = -5*r + 15, -s - 2*r = -4*r + c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**6\/2 + 24*v**5\/5 + 33*v**4\/2 + 24*v**3 + 27*v**2\/2 + 29. Let i(w) = 0. What is w?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6142 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-387)\/(-15) + 2\/10. What is the highest common factor of o and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 6*b + 9*b. Solve -6 = b*s - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 7, -1 in descending order.\nAnswer: 8, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1397 and 635.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -399\/778?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 22710 = -5*n, -4*n - 5709 = -11*d + 10*d. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + j + 30. Does 15 divide o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from iiifiifiiiifiiii.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (63\/(-12))\/((-1)\/40).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -117 + 62 - g + 55. Let a(k) be the third derivative of 0 + 0*k**4 + 2*k**2 + 1\/12*k**5 + 0*k + 0*k**3. Give j(a(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7267, -19482.\nAnswer: -19482, 1, 7267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 984038 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 330, 73, -310, -819, -1454, -2215?\nAnswer: -3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 25*c**3 + 22*c**2 + 90*c - 3. Let u be o(-9). Let b = u + 39661. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1010001?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 17*y**2 - y - 15. Let n be g(-17). Suppose -n*b + 49 - 2 = 5*h, 0 = 3*b - 5*h - 8. Suppose 9*k = b*k - 60. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 101011?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from ijjjjymdd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - o - 2*o = -4, 0 = 5*o + 20. Let h be 0 + 3 - r - -13. Solve -h = 5*j - 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/u**(-1\/3))\/u)\/u)\/u**(-1\/5)*(u*u**(2\/5))**(-24))\/(((u\/u**0*u)\/u)**(2\/31))**(-41) assuming u is positive.\nAnswer: u**(-14146\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 4. Let x(n) be the second derivative of -n**3 - 2*n**2 - 11*n + 11. What is -4*a(s) + 3*x(s)?\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 15*q**2 + 50*q - 238. Calculate m(14).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64285 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 183536 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 27*o**2 - 4*o**2 - 11*o**2 - 12*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d. What is the units digit of n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.437 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 234019619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 55, 92, 135, 184, 239?\n\"Answer: 3*q**2 + 22*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 less than 2396495.3?\nAnswer: 2396035.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = m. Suppose m*r + 2*h = 5 + 7, 2*h = -4*r + 16. Suppose 0 = -3*l + r*l - 1. Calculate the highest common factor of 9 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 8.2. Which is the third smallest value? (a) s (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42212 is divided by 4194?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 + 83 - 83 + (5*p**2 - 3*p**2 - 3*p**2)*(-4 + 2 + 5) - p**2 + 6*p**2 - 3*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 10392*p - 188 = -10346*p, -5*p = 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 5. Let z(s) = -16*s + 28. Let r(y) = -28*y**3 + 2*y**2 - 2. Let u be r(1). Let n(m) = u*v(m) - 5*z(m). Let i(c) = -14*c. Calculate n(i(k)).\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3000797?\nAnswer: -3000802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3240)\/(-25) - ((-3)\/(-5) + -1). Let h be ((-40)\/(-25))\/(2 + (-258)\/p). Calculate the common denominator of -75\/2 and 20\/130 - 549\/h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5\/5 + 116*w**4 + 74981*w**3\/5 - 77198*w**2 + 93480*w = 0.\nAnswer: -380, -205, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -21*y**3 + y**2 + y. Let i(n) = n**3 - n**2 - 1. Let x be i(0). Let p be o(x). Suppose -24 = -4*q + 2*b, b - 3*b = 5*q - p. Solve q*d = 2 + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(64\/288 + (-40)\/18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009715889 rounded to six dps?\nAnswer: 0.000972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002953 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -7*k**3\/6 + 19*k. Let q(a) = 0*a + a - 3*a + 2*a - 3*a**2. Determine h(q(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 15. Let z be 1\/t - 9\/(-5). Which is the smallest value? (a) 6 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * 0.7.\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*y - 8 = -0*y, 3*u = 5*y + 20. Sort -3\/4, -3, u, -5.\nAnswer: -5, -3, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 116. Let r(y) = 0*y**2 + 0*y**2 - 7*y**2 - 25*y**s. Let l(u) = 3*u**2. Give r(l(c)).\nAnswer: -288*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 355*n**3 + 6*n**2 + 6*n - 61. List the prime factors of j(3).\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444431 is divided by 317?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 8201.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {i: 1, j: 14, c: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/20)\/((-40)\/(-12)). Let m(g) be the second derivative of 2*g + h*g**5 + 1\/12*g**4 + 1\/15*g**3 + 0*g**2 + 0. Factor m(s).\nAnswer: s*(s + 1)*(3*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489000258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4) + -2)*(2 + 0).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048148123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zprp when four letters picked without replacement from {t: 3, w: 4, p: 1, z: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104970 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-66) + 172\/(-22). Let i = -5 - s. Suppose 3*b - 33 = 5*p, 0 = -i*b - 0*p - 2*p + 12. Calculate the smallest common multiple of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -96122, -192244, -288366, -384488?\n\"Answer: -96122*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779.4788nm to meters.\nAnswer: 0.0000007794788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(28) - (sqrt(7) + -3 + -2)) + 4)*2*-6)**2.\nAnswer: -18144*sqrt(7) + 61056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -645 + 1504. Find the second derivative of k*h - 32*h**3 - 427*h - 431*h - 42 wrt h.\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 152.5, 4\/7, -3\/5, 6, 2, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o - 8 = 0. Let f be (o\/(-70))\/((-2)\/10). What is the nearest to -2\/5 in 0, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3335598 by -6.\nAnswer: -555933","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 909, 1363, 1821, 2283, 2749?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 1, q: 1, r: 2, v: 11}. What is prob of sequence bvr?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(4\/2*3\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 3316566.\nAnswer: 6633132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a - 10. Let p be z(9). Let i = p - -151. Calculate the greatest common factor of i and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-765)\/36) + (-1)\/4. Solve o*q - 31 = 54 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1826304, -1826310, -1826316, -1826322, -1826328, -1826334?\nAnswer: -1826340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 7*n + 10. Let z be s(-8). Suppose -z*y = -8 - 2. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 62838530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*c - 3*v, 0 = -3*c - 2*v - 12. Let q be (-2 - c*2)\/(-2). What is the nearest to q in -3\/7, -2, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-456)*(-5508)\/714?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 17*o + 4. Let i be u(-8). Put 3, 0, i in decreasing order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 3699306549374.\nAnswer: 3699306549360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817888 is divided by 146?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25182 = 2*b, 0 = 3*f - b - 13636 - 11546. Suppose f = -58*q + 60*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-2*z + 2 - 2)*(-4 + 3*z + 4)*(-5 + 0 - 2) in the form h + l*z**2 + t*z and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*g - 6694 + 1764, 5*g = -2*o + 12326. What are the prime factors of g?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - h + 8 + 0*h)*(-2 + h + 2)*(-h + h - 2*h).\nAnswer: 2*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21471 or 20736?\nAnswer: 20736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**7\/168 - t**5\/40 + t**3\/3 + 2. Let y(s) be the third derivative of j(s). Find the second derivative of y(x) wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/847)\/((-14)\/(-12)). Let n = -2031719955 + 34417336077389\/16940. Let b = x + n. Calculate the common denominator of b and -115\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 12*x + 12. Let m be k(11). Suppose 79 + m = 4*j. Suppose i - 37 = j. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82719412 is divided by 1723321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 4 (b) 2\/3 (c) 7 (d) -2.8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/176 and -91\/2420?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*n - 810 = 0, -2*c + 0*c = 5*n - 417. Let y = c - 67. Let b = y - 69. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 144 = -i. Suppose -2*x + 5*y = -733, -4*x + 1426 = -13*y + 11*y. Suppose x = i*q - 33*q. Is 30 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*1.9\nAnswer: -0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0 - 2 + 2*h + 5*h. Suppose 0 = z + 4*z - 25. Is o(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12379 and 2?\nAnswer: 24758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**2 + 2*i + 6. Let p = -312 - -311. Let h(q) = -q**2 - 1. What is p*b(m) - 6*h(m)?\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/3, 0.3, 106 in increasing order.\nAnswer: 0.2, 0.3, 1\/3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18773 is divided by 1112.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + (-14 - 20) + 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1008) - sqrt(7)) + 5 + sqrt(28) + -3 + 2)**2.\nAnswer: 104*sqrt(7) + 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*u + 23 = -11, 5*u = -x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/3 - (0 + -4). Let k = h + 48. Suppose 3*q - 11 = k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 + 84.21. Let z = f - 0.253. What is z rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/86*(23310\/(-280))\/(-333)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (3 - 8)) + 0 + 12 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (5 - -4 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 5*s + 8. Let p be b(4). Find the second derivative of 4*k + 10*k + 3*k**p + 6*k - 4*k wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2419547 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -20538789 to the nearest one hundred thousand.\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -989, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*h - 55, m - 2*h = 88 - 18. Suppose n + 99 = 5*t, 4*t + 5*n = 5 + m. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:59 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394 + 399. Calculate the remainder when 7 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -277 and -625003\/2264 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17258, 19406, 21558, 23714, 25874, 28038?\nAnswer: 30206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0 (b) 33.21 (c) 21.3 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 16. Let z be i(-11). Let m be z\/(-5) - (-8)\/(-20). Let f be (-4)\/(-6) - m\/(-9). Sort 0, f, -4 in descending order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 218*a**2. Let n(k) = 26 + 87*k - 88*k - 26. Determine n(c(y)).\nAnswer: -218*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 363463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20879361?\nAnswer: 3, 2319929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -6*k - 2*r - 1195, 0 = 5*k + 2*r - 1175. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 14)*(4 + 1 + 1)*(166*w + 10*w - 6*w) as d*w + t and give d.\nAnswer: 6120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -351 + 314. Let z = 37.002558 + w. What is z rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.384361l in millilitres?\nAnswer: 2384.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 53. Suppose -u*l + 7*l = 6. Calculate the least common multiple of 8*-1*-2*l\/4 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**2 - 245*d + 4800 = 0?\nAnswer: -64, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8082*r + 13 - 8124*r - 44)*(-r + 2 - 2).\nAnswer: 42*r**2 + 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, -0.5, -20, -31973?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 36*w**2 - 96*w - 150. Is h(-38) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1677 - 119 = n. Let h = 5363 + n. Let i = h - 11667. What is i rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*p - 12 = 0, -a + 10 = 3*a - 3*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 5, -264 in ascending order.\nAnswer: -264, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4183821654.\nAnswer: 2, 3, 43, 47, 97, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3564535?\nAnswer: 5, 13, 29, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*j**2 + 3*j**2 + 10*j**2)*(-3*j - 2*j + 6*j) - 154*j**2 - 34*j**3 + 154*j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.5 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -564 - -606. What is the greatest common divisor of 483 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 68\/3 of a hour?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q. Let r be k(-1). Let m(i) = i**2 + 6*i + 5. Let a be m(r). List the prime factors of (-2 - (a + -9))*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 12*p - 166. Let i be b(14). Solve 0 = -43*w + 41*w - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let c be r(7). Let p = 12 + c. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 25*z**2 + 4*z + 19. Let n(a) = -2*a. Give n(q(v)).\nAnswer: -50*v**2 - 8*v - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5161.292 millennia?\nAnswer: 51612.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5560*v**3 + 6092*v**3 - 11664*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -23*b + 9. Let a(j) = 2*j. Calculate 22*a(c) + 2*y(c).\nAnswer: -2*c + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9 + 13*16\/936?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-7))\/((-12)\/8). Let d = 38 + -116\/3. Let i = -0.48 - 0.02. What is the closest to h in d, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/236097 and 29\/777.\nAnswer: 1652679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/((u**(1\/7)*u)\/u*u))**(-27) assuming u is positive.\nAnswer: u**(1053\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-4.7\nAnswer: 2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1166 = 292. Let i = -482 + k. Solve 0 = 5*y - i*t + 2, -2*y - 5*t = -0*y + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*g - g + 35, -5*z = -5*g + 85. Let i = -12 + g. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, -5, 1, -3 in decreasing order.\nAnswer: 148, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95799 + 479007\/5. Factor -w*z**3 - 3*z**2 - 3\/5*z**4 - 6\/5*z + 0.\nAnswer: -3*z*(z + 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -297a0a (base 13) in base 7?\nAnswer: -11433116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -127*n**3 + n**2 - 6*n - 4. List the prime factors of w(-2).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11757 = 7*h - 3*z - 42364, -h = -3*z - 4375. Calculate the remainder when h is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -31, -2, -0.4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 197, 309, 429, 557?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/60 + n**4\/24 + 125*n**3\/6 + 23*n**2. What is the hundreds digit of f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60675.\nAnswer: 3, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = t, 0 = -4*t + t - 5*n + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 551 - 235. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 175 = 45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 2*u**2 + 5*u + 8. Let j be n(-3). Solve 0 = -2*y - j - 0, 3*l - 2*y + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 18. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 16912.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 2. What is w(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 181 - 97 = -136 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 10. What is the units digit of 21\/g + -8 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/13 + 184*l**4\/13 - 3942*l**3\/13 + 28944*l**2\/13 - 4320*l = 0.\nAnswer: 0, 3, 12, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 928.4431ml in litres?\nAnswer: 0.9284431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + v = 9, 2*c - 79*v + 80*v - 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 115*j - 343. Let n be s(3). Let y(h) = -h + 7. Let a be y(4). Suppose -a*t = v + 10, -2*t - 5*v + 1 = -1. Sort t, n, 1 in ascending order.\nAnswer: t, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -942*q - 1612 - 1321*q + 1612 as o + g*q and give g.\nAnswer: -2263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-5)\/(-20)). Let f be 15*((-6)\/(-9) - 1). Let y(w) = -w**3 - 4*w**2 + 3*w - 6. Let c be y(f). Solve -2*o = h - 11, b*h - c*o + 17 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98.1 - 98. Does f = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f - 1 = 5*h, h = -f + 11. Solve g + 3 - f = -5*u, -4*u - 4*g = -20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfffjbfj. What is prob of picking 1 b and 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64452 + 2?\nAnswer: -64450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29580)\/(-3480)*(-1)\/(-34))\/(1\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-391020)\/(-760)*(-20)\/(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + -3 + (2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3\/8 (b) 2\/13 (c) 0.04 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*f*q - 108*f + 5*q**2 wrt q?\nAnswer: 39*f + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103 and 3391?\nAnswer: -349273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22072344?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(2\/5))*w))**(-27)*(w\/w**(-1)*w*w)**(-34) assuming w is positive.\nAnswer: w**(-626\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -26 - 6*a - a**2 - a**3 - 11*a**2 + 2 - 4*a - 4*a. Let z be p(-11). Solve 3*k - 5*t + 8*t = -z, 0 = -t - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 483 = 53. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2229 - -2234. Let r(a) = 22*a - 94. What is r(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1147 from -213.5.\nAnswer: -1360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645 - 642 - 640 - 52*u + 1927.\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 0, -j + 1 = -a - 0*a. Suppose 3*s + 258 = v, -7*v = -3*v - a*s - 1032. Suppose v = u + 2*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-28)*(-978)\/2608?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*m + 6*m + 12, -2*m - 14 = 5*f. Is (-1206)\/(-22) - f\/11 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 - 3407*u - 1282656 = 0 for u.\nAnswer: -2976, -431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 7\/5, 21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 662058751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748, 856, 964, 1072?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from juttbjjwbtkj?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8759)\/(-2394) + ((-24)\/(-27))\/(-2) - 3.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965963 is divided by 18224?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 1. Let v(f) = 3*f - 2. Let s(n) = -v(n) + 4*y(n). Let a be s(3). Suppose -u + a = -0*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-2) - (-1)\/2. Let j(c) = c**3 - 3*c**2 - 3*c - 2. What is j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41 and 8783.33.\nAnswer: 8824.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*i)*(-137 + 137 + 72*i**4 + (-3 + 2*i + 3)*(4*i**3 - i**3 - 4*i**3)).\nAnswer: 140*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 + 2*j**2 - 3. Let q(d) = -6*d**3 - 3*d**2 + 4. Let f = -11406 - -11409. Calculate f*q(g) + 4*b(g).\nAnswer: 10*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*r**4*w + 37340*r**4 - 3*r*w + 2*r - 10*w + 1951 wrt r?\nAnswer: 72*r**2*w + 448080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crrc when four letters picked without replacement from qarawaqccrczaaraaq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:53 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19206 divided by -66\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 12*n + 4. Let v = 113 - 110. Suppose -556 = -v*l - 199. What is the remainder when l is divided by r(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 88bcb0?\nAnswer: 88bcb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = 18*y - 0*r - 4*r + 926 + 690, 0 = 2*y + r + 153 for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 92. Let c(h) = -h**2 - 9*h - 4. What is the remainder when 55 is divided by c(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 123 - 1288. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -755, -661, -567?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g + 3*g)*(4*g**2 - 13 + 10*g**2 - 12*g**2) in the form c*g**3 + j*g + m*g**2 + v and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**2 - 13*n - 7. Let v(h) = 3*h**2 - 6*h - 3. Calculate -2*a(x) + 5*v(x).\nAnswer: x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -2 (b) -2\/9 (c) 2\/3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:24 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 4*f = 25. Let d(q) = -2*q - 1. Calculate d(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 350604400, 350604402, 350604404, 350604406, 350604408, 350604410?\n\"Answer: 2*u + 350604398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2467 + -6?\nAnswer: -2473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:22 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dld when three letters picked without replacement from rvdnlrnv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 21684095?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -0.19\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 - 2.479. Let w = -7.879 - l. Let r = -3.03 + 0.03. Which is bigger: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*u + 5*u + 7*u + (3 + 4 - 5)*(u - 4*u + 0*u) as q*u + i and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 17*x**3 + 3*x**2 - 12*x - 13. Let b(s) = 9*s**3 + 2*s**2 - 6*s - 6. Let k(c) = 5*b(c) - 3*t(c). What is the tens digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/8 - 5*i**4\/2 + 29*i**3\/8 + 39*i**2\/2 - 63*i\/2 = 0. Calculate i.\nAnswer: -21, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*21\/(-4)*(-2574)\/(-3861). Let g be (-1 + 1)\/((-4)\/2). What is the nearest to g in 2, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10019 - 10022. Let q(a) = -3*a**3 + 2*a**2 + 7*a + 8. Let u(c) = -c**3 + c**2 + 2*c + 3. Determine r*q(y) + 8*u(y).\nAnswer: y**3 + 2*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*b = -2761, 5*i = i - 3*b - 3691. Find the common denominator of -103\/12 and i\/(-180) - 24\/108.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 15.9717?\nAnswer: -16.4717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10266 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88771.9 * -394.\nAnswer: 34976128.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9594*a - 38186. Give c(4).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 48932*u + 48930*u + 34, 112 = -4*m + 5*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Let y(o) = -9*o + 6. Let a be y(2). Sort -2, a, s in increasing order.\nAnswer: a, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29368720, 29368745, 29368770, 29368795, 29368820?\n\"Answer: 25*x + 29368695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-144)\/32)\/(6\/(-1)). Let a be 3\/(-7)*(-7)\/2. Factor -n*r**3 + 0 - 3\/4*r - a*r**2.\nAnswer: -3*r*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmff when four letters picked without replacement from kfmmdffdkdff?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-20076)\/3344 + 6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1847202 divided by 103.\nAnswer: 17934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -229*o**2 + 3*o + 6. Let d(b) = -4366*b**2 + 58*b + 116. Let f(m) = 6*d(m) - 116*i(m). Let n(t) = -13*t**2. Determine f(n(a)).\nAnswer: 62192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 8*o - 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, -66, 8\/3, 29\/4, 4, 3\/4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -48, -34, -4, 48, 128?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 82\/48 - (-41)\/(-123)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180) + sqrt(180) + (sqrt(180)*2 - sqrt(20)))\/(sqrt(64) - 1*-2*sqrt(64))*3.\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -26. Let p = 291 - g. Suppose -3*x = 66 - p. What is the highest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4158*k + 78981. Calculate c(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**5\/60 + s**3\/6 - 14*s**2. Let d(g) = -5*g**2 - 4. What is -d(n) - 4*x(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/60 and 163\/10549812.\nAnswer: 52749060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f = -10 - 42 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**4)\/h)\/(h\/h**(-1))*h**(1\/4)*h**(-3)*h*h)**46 assuming h is positive.\nAnswer: h**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*d + 223 - 221 = 0, 26 = 5*w - 2*d for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-19 + 0 + -14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 442490.5.\nAnswer: 442494.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50511305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 20. Suppose -w + 0*f - s*f = -18, -5*w + 2*f + 9 = 0. Suppose w*r - 4*a = 22, 1 = a + 2. Calculate the least common multiple of r and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckakbok. What is prob of picking 1 a, 1 c, and 2 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-341\nAnswer: -34.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/12)\/((-1)\/(-2)). Let f = -20 + -6. List the prime factors of -1 - f\/1 - r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -521, 3, 7 in descending order.\nAnswer: 7, 3, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -774550000 rounded to the nearest 1000000?\nAnswer: -775000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 25 = -5*t, v + 8 = -v. Let l be t - (-302)\/(-1)*1\/(-2). Let b = l + -99. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2356)\/(-155))\/(-38))\/((-8)\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 - 12. Let i = u - -312. Suppose -5*d - 8 = -3*b - i, -2*d - 4*b + 58 = 0. What is d rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106, -178, -234, -268, -274, -246, -178?\n\"Answer: v**3 + 2*v**2 - 85*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 1}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*-4*(-1)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -103, -202, -333, -496, -691?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -2*d - 19. Let f = d - -88. Let k(v) = 54*v - v**2 + 3 - 27*v - 27*v + v**f. What is k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4099*r - 2050*r - 2044*r. Let k(v) = 9*v**2 + 2*v. Give y(k(j)).\nAnswer: 45*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2112*f - 61. Let d(g) = 7*g**2 + 22*g + 9. Let w be d(-3). Is l(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 151, -31, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d**2 + d - 4. Let j(f) = 16*f**2 - f + 3. Determine 2*a(r) + 3*j(r).\nAnswer: 14*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scwwqscqqqqsqwqqwkk. What is prob of sequence cww?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16713.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 11. Let x be r(6). Suppose 0 = -x*v - 1 + 21. Suppose 55*j - 1126 = -411. Solve 3*s + 16 + 1 = -f, v*f = -s - j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 1.9. Let j = 0 + h. Let d = -0.1 - -0.1. Which is the third biggest value? (a) -0.4 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p = 3*b + 56*p - 107*p - 19, -p = -5*b + 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = z + 3*u, u = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -6.9.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2 - (-10)\/20. Solve -2*v + k = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*l + 135 = 0, 2*v + 4*l - 36 = 34. Suppose 0 = 5*q + v, -3*q + 398 + 12 = 5*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698, -1415, -2168, -2975, -3854, -4823?\nAnswer: -5900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w = -10. Suppose -c = -w*c + 288. Suppose 5*a - 2*n = -0*n + c, 4*n + 16 = 2*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 13. Let k = -17 - -24. Let x be t(k). Let c(f) = 2*f - 7. Let h(q) = q - 3. Let j be 1\/((-1003)\/(-3068) - (-2)\/(-8)). Calculate j*h(z) + x*c(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 14528*n - 1355172.\nAnswer: 4*(n - 3723)*(n + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 - 2*h - 4. Determine d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11059136.\nAnswer: 2, 11, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516218, -1032438, -1548658, -2064878, -2581098?\nAnswer: -3097318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5 - 7, -22 = -2*s - 4*n. Suppose 4 - 8 = -4*o, -j + s*o = -2. What is the third derivative of p**6 - p**2 + 5*p - j*p wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5421, -19733, -43643, -77145, -120233, -172901?\nAnswer: -235143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 2960*d**2 + 29696*d - 37. Give f(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*s**4 - 55*s**3 - 91*s**2 - 54*s**3 + 41*s**2 - 51*s**3.\nAnswer: -2*s**2*(8*s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from coccooec?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*r = 817 + 283 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2697 and 1.4.\nAnswer: 2698.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(35) + -2*sqrt(875) - sqrt(35) - sqrt(2240)*-1)*-2)\/(sqrt(30)\/(sqrt(30)\/sqrt(5)) + (sqrt(60)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j - 28*j + 28*j.\nAnswer: 39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17855071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 235 + -199. Calculate the lowest common multiple of 232 and h.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -338 (b) -3 (c) 1 (d) -0.13 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 312922 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -29. Let d be (8\/(-140))\/(4\/(112\/(-20))). What is the third smallest value in d, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 16\/31, 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -2\/13, -0.044, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 4*c = 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayya when four letters picked without replacement from yyyaayya?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 3:43 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5134303 - 0.4156?\nAnswer: -0.9290303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*684\/456.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32376?\nAnswer: 2, 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -9. Let y be 1656\/4*3*(-5)\/10. Let u = 619 + y. What is the closest to 1\/4 in u, k, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, f: 1, x: 12}. Give prob of sequence fux.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17032)\/44709)\/((-39)\/(-42)*-8)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 38\/7 of a week?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -47 - ((-6 - (-10 + 10)) + 11)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 932898.5 nanometers in centimeters?\nAnswer: 0.09328985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {u: 1, p: 1, q: 2, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**4 - 7*s**4 - 2 - 2*s - 2*s**2 + s**2 as w*s**2 + z*s**3 + k*s + i + g*s**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433410 (base 5) to base 11.\nAnswer: -10185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453557380?\nAnswer: 2, 5, 11, 19, 43, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 0.22, -40 in increasing order.\nAnswer: -40, -5\/2, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = 0, -128*y + 5 = -125*y + 4*n. Let f be 9\/3*1*1. Let c be 4\/3*f - 0. Calculate the highest common factor of c and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(66\/(-12) - -3))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35929 and 341.\nAnswer: 395219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*b + 1041*b - 800 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318348.3ug to kilograms.\nAnswer: 0.0003183483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2386 + -1033. List the prime factors of n.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 + 1. Let y(z) = z**3. Let m(t) = -s(t) + 3*y(t). Give m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4172 = -429*m + 280*m. Calculate the remainder when 0 - 1 - -477 - 1 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (3 - 16) + (1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-126)\/(-4) + (-4)\/8. Let j be (-2)\/(-9) + 25\/9. Suppose 29 + m = j*w. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1481516)\/(-36) - (-24)\/(-108)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2264 or 2316?\nAnswer: 2316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 519430935 and 4245?\nAnswer: 4245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, 8 in increasing order.\nAnswer: -3, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 7:45 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 9 + 6 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/330 and 157\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 56.18584mm?\nAnswer: 5.618584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102087362 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 2. Let f(t) = -10*t - 8. Let s(a) = 9*a + 7. Let o(m) = 6*f(m) + 7*s(m). Let p(q) = -3*o(q) + 4*x(q). Give p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -28*z + 7*z. What is the second derivative of 723*p + 0*p**4 + 3*p**2 - p**z - 807*p wrt p?\nAnswer: -12*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77771.37ml?\nAnswer: 77.77137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7730766 kilograms?\nAnswer: 773.0766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 26 - 87*i**2 + 45 - 2*i + i**2 + 2*i + (i + 0*i + 0*i)*(2*i + 3*i - 4*i) in the form r*i + v + d*i**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 617714353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 871 and 2479.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (6140\/80)\/((-1)\/(-4)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Suppose 0 = -4*c - c. Let n be f(c). Suppose n = 3*m - 4*m + 53. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + i - 1. Let f(h) = -h**2 + h + 1. Calculate -3*f(d) + t(d).\nAnswer: -d**3 + 3*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -31. Solve 2*b - w = -4*w + 19, -5*w - k = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1013454865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {a: 3, t: 2, f: 2, b: 4, o: 3, n: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*b - b + 510 = 0, -2*l + 202 = 3*b. What is the common denominator of l\/3*(-39)\/182 and 11\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -143241*d**2 - 56. Let u(f) = -7539*f**2 - 3. Give -56*u(v) + 3*x(v).\nAnswer: -7539*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/7, -47, -2, 1\/3 in descending order.\nAnswer: 1\/3, 1\/7, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -103 + -1209631569\nAnswer: -1209631672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:46 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyly when four letters picked without replacement from {y: 12, l: 6}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004030 (base 8) to base 3.\nAnswer: 111102102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (3*sqrt(133) + sqrt(133))*-2)\/sqrt(7).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1932 divided by -21\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57784*d**3*r**2 + 794*d**3 + 3*d**2*r + 1406*d**2 - d*r**2 - 50*d + r**2 - 28 wrt d.\nAnswer: -346704*r**2 + 4764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279880083 and 1877130.\nAnswer: 2798800830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -10 + -71*(-1686)\/6 - 12\/(-2)?\nAnswer: 3, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 + 6)\/(-14) - (-43)\/2. Solve 0 = u + 20 - x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225180695.\nAnswer: 3, 5, 277, 294869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 82011*f + 164016*f + 18*f**3 - 82005*f.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 - (6 + -7)) - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*5.308.\nAnswer: -2.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxtwhhltttwh. Give prob of sequence wh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5112435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-270)\/(-6))\/5 + -4. Suppose d*f + 58 = 103. Solve -5 = -4*s - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*(-70)\/42\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 w, and 1 z when four letters picked without replacement from lwlwwzll.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 4}. What is prob of picking 1 g and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dedd when four letters picked without replacement from ddddddddddddddddddde?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-42 - (-11 - 11)) - 44.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6*a - 27 = 0. Suppose -2*g - a*l + 237 = 15, 116 = g + 4*l. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (462\/336)\/((-10)\/(-80))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -21. Let k(w) be the first derivative of 23*w**3\/3 + 35*w + 598. Is k(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3 - 1 - 3 + 6*g + 5. Let i be k(-5). Let t = -20 - i. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 8. Let w be d(4). Let j be 1\/(2*(-2)\/(-20)). Suppose 3*h + 8 = j*t - w, 2*h = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03576 to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**2 + 0*h + 4\/3*h**3 + 23. Find the second derivative of z(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15572900 rounded to the nearest one hundred thousand?\nAnswer: -15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:52 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/358101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, a: 1, l: 4, z: 2, v: 1, y: 6}. What is prob of picking 1 a, 1 z, and 1 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1682*g + 9 = -1683*g, 2*c - 5*g = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 5*u + 23, -18*u = 2*j - 24*u + 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113471091 rounded to the nearest 10000?\nAnswer: 113470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1250122 and 2.1?\nAnswer: 2625256.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1974480)\/(-360))\/((-2)\/(18\/(-3) + 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -1 + 3)**2 + -2.\nAnswer: 40*sqrt(19) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 24*l**2 + 8*l - 68. Let k(h) = -7*h**2 - 3*h + 24. Let x(a) = -7*k(a) - 2*z(a). What is x(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -837884 or -837829?\nAnswer: -837829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76102, -76105, -76108?\nAnswer: -76111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 13*l - 5. Suppose -94 = 4*c - 5*w + 708, 2*w + 788 = -4*c. What is the common denominator of l and (102\/c)\/((-2)\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5952)\/(-144))\/31*1\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644935 smaller than 1644945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 4. Give j(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b**(-1\/8))\/(b\/b**(-10)*b*b**16) assuming b is positive.\nAnswer: b**(-185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1780, -5, 3, -4, 2 in decreasing order.\nAnswer: 1780, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2510682 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 49517 + 99059 - 49542 - 27*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -q - 18*p, -5*p + 1469890 = -3*q + 1469966 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67\/33 + 10\/33. Let 11\/3*q + 14\/3*q**2 + 2\/3 - i*q**5 - 4\/3*q**3 - 16\/3*q**4 = 0. What is q?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.16? (a) 5 (b) -1\/2 (c) 0.03 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 247089, 493498, 739907, 986316, 1232725, 1479134?\n\"Answer: 246409*d + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5479 + -5325. Calculate the highest common factor of 638 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3332818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522218197 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14*(-1)\/2 - -1. Let z(p) = p**3 + 6*p**2 - 4*p - 6. Let r be z(s). Let u = 33 - r. What is the greatest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34\/5, 2, -0.4 in descending order.\nAnswer: 2, -0.4, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*c**4 + 48*c**4 + 11*c**4)*(-1 + 1 + 4)*(-22 + 18 + 28) to a*c**3 + f*c**4 + s*c**2 + i + d*c and give f.\nAnswer: 4896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.2, -58, 2\/15, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(-9*x + 9*x - 5*x**2)*(5*x - 3*x - 3*x) + 3*x**2 - 3*x**2 - 3*x**3 to the form f + m*x**2 + q*x**3 + s*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 103574325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**4*o - 47*a**3*o**2 - 2*a**2 + 74*o**2 + o wrt a.\nAnswer: -120*a*o - 282*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - -108. Is (k\/3)\/((-2)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4802612579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c + 4. Let q be i(2). Suppose 3*k + 8 - 24 = 4*u, k - 5*u = q. Suppose 2*z - 25 = -k*f - f, 0 = -3*f + 15. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*x - t, -3 = -2*x + 3*t - 10. Let c be (6\/(-28))\/((-246)\/120 + 2). Is c greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35188 and 51547.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51.8 in -5, 0.04, 5, -9\/4, -1\/3, 6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from {t: 3, e: 1, x: 1, u: 1, v: 3, a: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 549 - 549.2. Let o = -1 - -0.9. What is the closest to o in n, -0.4, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:24 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 82*w - 235. Let l be z(44). What is the third smallest value in 5, 6, 0.1, l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787430.4 centimeters to kilometers.\nAnswer: 7.874304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 25.2. Let k = 2273 - 15941\/7. Let w = k - -27\/7. Put w, d, -0.3 in increasing order.\nAnswer: w, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 divided by 2?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 32. What is the greatest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28149 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 0*x - 8*x + 128 = -3*n - 0*x, -3*x + 6 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1539) + 0)**2.\nAnswer: -90*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 0.3.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 937.5337 hours in microseconds?\nAnswer: 3375121320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -27 - 270. Let b(j) = j**2 + 20*j - 123. What is the lowest common multiple of b(v) and 26?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 6*w**2 - 9*w. Suppose 2*z - 20 = -3*x - 14, -z = 3*x. Let a(d) = -6*d**3 + 7*d**2 + 9*d. Determine z*a(n) + 7*g(n).\nAnswer: -n**3 - 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = d + d. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1516*f - 40. Let o be i(9). Let p = o - 9223. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -124887 + 124887 + 24*j. Let s(f) = 30*f**2. Give r(s(p)).\nAnswer: 720*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -175*f + 2. Let q(b) = -4*b - 43. Let z be q(11). Let v = 82 + z. Is t(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15161?\nAnswer: 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/7 - 39\/14. Let n = 2 + m. What is the closest to -2 in -1, -1\/3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3731 is divided by 292.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2606986 = 7*m, 25*m = t + 23*m + 1303504. What is t rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = s + 8. Do s and -21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 22 + 18. Let c(m) = -m - 11. Let t(a) = -a - 8. Let s(g) = r*c(g) + 7*t(g). Determine s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5) + ((sqrt(160) - sqrt(40))\/sqrt(8))**2.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 + 1*sqrt(112))*-2.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29966, 29660, 29364, 29078, 28802, 28536, 28280?\nAnswer: 28034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight fifths of a millennium in decades?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:40 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286255, -286254, -286253, -286252, -286251, -286250?\nAnswer: -286249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2694 * -0.2773.\nAnswer: -747.0462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -752648*z**3 + 649507*z**2 - 2*z wrt z?\nAnswer: -4515888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = 5*y + 3*t, 5*t + 20 = 0. Suppose 2*d - 15 = 5*d. Let n(p) = p**2 + 5*p + 3. Let g be n(d). What is the highest common divisor of y and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1960\/9 + -1958\/9. Factor 2\/9*c**2 - p*c + 0.\nAnswer: 2*c*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1262*j - 12615. What is x(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 7*c**2 - 2*c - 1. Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*k**3 + k**2 - 218*k**3 - 177*k**3.\nAnswer: 70*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -805*a - 109. Let u be n(-3). Which is smaller: 2303 or u?\nAnswer: 2303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333*x**4 + 246050*x**2 - 78140032*x wrt x?\nAnswer: 3996*x**2 + 492100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/6, -2\/5, 5, 3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001755448 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34501 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: How many minutes are there between 12:23 AM and 10:35 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2296682915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1728)\/(-1056)*(220\/12)\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 3\/2, 2, -137\/106?\nAnswer: -137\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228 - 123 + 41*d - 119.\nAnswer: 41*d - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:32 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -17 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*r - 993, -4*r - 1272 = 4*z - 9*z. What is the greatest common factor of 56 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 1 x when three letters picked without replacement from rwwrrjrrrxrrrrrj?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21805100 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 12*x - 3618. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 - -208. Calculate the greatest common divisor of g and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n**2 - 11*n**2 + 16*n**2 - 4 - 9*n**2 in the form p + i*n + l*n**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 373138010?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*m - 2 = 4*m, -2*h = 4*m - 8. Factor 0*u**2 + h*u**2 - 3 + 3*u**2.\nAnswer: 3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -458 bigger than -457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 30609*u + 12987864.\nAnswer: -3*(u - 10611)*(u + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p = -36205 - 98735. Suppose p = 9*s - 714. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893273.4l in millilitres?\nAnswer: 893273400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020202011110000 + -11?\nAnswer: -1020202011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 4. Suppose -20*i = -8*i - 156. What is the remainder when i is divided by p(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-14) - (-390003)\/6. Round q to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h**2 - 13*h + 15. Suppose -39 = 4*j - 15. Let y(c) = -7*c**2 - 7*c + 8. Calculate j*q(i) + 11*y(i).\nAnswer: i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 4. Let s be t(-5). Let h(c) = c**2 + 6*c - 2. Let l be h(s). Let v = -2.97 - 0.03. What is the second smallest value in l, v, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*y**3 - 466*y**2 + 466*y**2.\nAnswer: -152*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 2*o - s, -5*o + 21 = 2*s. Suppose 7*f - 3*f = -5*q + 11, -2*f - o = -q. Let t be (2 + 55)\/(q - 2). What is t rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let s(a) = -4656*a + 12187 + 12179 + 12186 - 36552. Determine b(s(n)).\nAnswer: 65035008*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/7*y**4 - 24\/7*y**2 + 2\/7*y**5 - 16\/7*y**3 + 0 + 0*y = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.125 <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 2, s: 9, b: 1}. Give prob of picking 1 o and 1 s.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - (-31)\/(-4). Let i = 2.90898 + 0.09102. What is the second biggest value in q, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652604 is divided by 578.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 134. Calculate the remainder when z(0) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -65 (b) 1 (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824746, 1649502, 2474258, 3299014, 4123770, 4948526?\nAnswer: 5773282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 2. Let c(u) = u - 8. Let t be c(x). Let v(a) = 0*a + 3*a + t*a. Let d(m) = -2*m**2. Determine d(v(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = -2. Let t(x) = 3*x - 4. Let h be t(s). Suppose h*o = 23 - 8. Solve -o - 9 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118362323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-1)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61b2 + 5?\nAnswer: 61b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 4*y = 0. Suppose -93675 = -y*l - 15*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134491891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10948 = 32*v - 4*v. Let t = v + 414. What is the remainder when t is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.5 - -30.47. Put m, 40, 2\/23 in increasing order.\nAnswer: m, 2\/23, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*q + 28 = 0, 3*a - 2*q + 5*q + 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1728)*6)\/((sqrt(900) + sqrt(900)*-1 + sqrt(900))*1).\nAnswer: 48*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-70))\/(19\/1045*11)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*z + 234. Is 11 a factor of 0 - -9*(-88)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.30005 * -5\nAnswer: 1.50025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 1069 + 1523 = 295*l. Solve 5*r = -3*x - 21, 2*r + 2*x + l = -2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 31302?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29114477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -140. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 0*o**3 + 9*o**3 + (-3 + 3 - 3*o**2)*((2 - 3 - 1)*(-2*o + 2*o + 2*o) - o + o - o).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:37 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, 0, 2\/13 in descending order.\nAnswer: 5, 2\/13, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50224544*l + 86286497 wrt l?\nAnswer: -50224544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942 + 4448 = 245*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 15, u - 4 = 5*q + 3. Let p be -2 + (2 + -2 - u). Let r = 0 + p. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.56 - -0.44. Let j = m - 94.5. Which is the closest to -0.1? (a) 2\/7 (b) j (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 6*q**2 + 2*q + 10. Let i be y(6). Suppose -4*v = 0, -36 = 3*d - d - 3*v. Let h = i - d. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8044 - -14247. List the prime factors of g.\nAnswer: 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 27. Solve -3 + t = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10746, -10749, -10752, -10755?\n\"Answer: -3*u - 10743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 times 8976?\nAnswer: -493.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6590718 - 6590718 + 3*p - p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 309241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2912 - -2914. What is the highest common divisor of 58 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46\/11 + -4. Let c = -51 - -203\/4. What is the biggest value in c, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -6, 0, -5101 in descending order.\nAnswer: 2, 0, -3, -6, -5101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 160.4+-2287.26107817\nAnswer: -2126.86107817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.72419 hours in weeks?\nAnswer: 4.72454875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-22) - (-222)\/(-11). Let x be 2*(-2)\/l + 3836\/70. Suppose 3*k + 2*h = 9, -4*k + 12 = -5*h - 23. What is the greatest common factor of x and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 = 1. Suppose -5*y = -3*b - 48, -4*b + 2*b = t*y - 16. Is y\/((-18)\/(-172)) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 21 - 8*g + 6*g + 28 - 4*g.\nAnswer: -6*g + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = -5*r, -3*r + 4*g + 12 = r. Suppose 5*b = r*b + 6. Find the third derivative of -9*j**4 + 5*j**4 - j**2 + 3*j**b wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooxoxoxoooooooxx.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + p + p)*(47*p - 61*p + 58*p + 129*p) in the form j*p**2 + u*p + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 970 = -5*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*k = -133, -k = o - 58 - 60. Suppose -69 = -3*x + o. What is the remainder when x is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 10, j: 9}. What is prob of sequence kkkj?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d**(-1)\/d)\/d)))\/(d\/((d\/(d**(2\/19)\/d))\/d))*(d*d\/d**31)\/d*d**(2\/15) assuming d is positive.\nAnswer: d**(-9397\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448666333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 7. Suppose 0 = -108*g + 106*g + 22. What is f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - -30 - (-50 - -100)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2108 (b) 0.3 (c) 0 (d) -0.2 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -2*t**7\/105 + 7*t**6\/30 - 14*t**5\/15 + 4*t**4\/3 - 6*t**2 - 42. Factor n(u).\nAnswer: -4*u*(u - 4)*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 184 - 68 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/5 (b) 1\/4 (c) 1\/2 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57 and -29991599511.\nAnswer: -29991599568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/36*(-3 + (-7 - -6)). Which is the biggest value? (a) 3 (b) m (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4 + 2409921*f**3 + 21689451*f**2 + 65068515*f + 65068596 = 0. What is f?\nAnswer: -3, 803316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + b - 146 = 0, 5*b + 124 = 4*n + 4*b. Calculate the remainder when 119 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Suppose s - 2 = -s. Calculate the remainder when s is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -440 or -1318\/3?\nAnswer: -1318\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.033 + 4.033. Suppose 7 = -y - c, -17 = -y + 5*c + 6. What is the biggest value in p, 0.1, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138 + 146. Let v be m\/14 + 1240\/868. What is p in 0 + 3*p + 87\/4*p**3 + 27\/4*p**4 + 18*p**v = 0?\nAnswer: -2, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -46772050.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 - 154. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2 + 12*m + 55*m - m**2 - 67*m. Let r be (1\/(-2))\/((-4)\/(-8)). Let g(p) = -p**2. Suppose v = 5*v - 12. What is r*c(i) + v*g(i)?\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39854 and 4.\nAnswer: 79708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**5*z**2 - 21740*p**5*z - 42*p*z**2 + 2*p - 5*z**2 + z wrt p.\nAnswer: 20*p**3*z**2 - 434800*p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -605.4305 rounded to one dp?\nAnswer: -605.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 5, m: 6}. What is prob of sequence mkfk?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 12. Let a(g) = 4*g + 10. Let z(v) = 6*a(v) - 5*k(v). Let h(l) = -1206*l**2. Give z(h(p)).\nAnswer: 1206*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -7. Let x(b) = -114*b + 1 + 0*b**3 + 115*b + 10*b**3. What is x(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjmf when four letters picked without replacement from pjpsssjmpf?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/(-16) - 9\/(-72). Suppose p*a - 21 = -1. Let j(l) = -l**3 - l**2 - l + 7. Let s be j(0). Solve s*q - a*q - 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 18*s**2 + 13*s - 13. Let z(o) = -9*o**2 - 6*o + 6. Let c = -27058 + 27064. Determine c*k(f) + 13*z(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 21\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-146452)\/611 + (-28)\/91)*(-236)\/5. What is the highest common factor of 144 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -3\/5 (c) 7 (d) -0.4 (e) -3\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*m + 22, -10 = 3*m - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0)*(-4 + 9). Suppose -h*o - 3*t + 1505 = -1226, -3*t = -o + 539. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 29 + 3. Let m = 1 + -1. Suppose 0*k - 4*l + 4 = -2*k, m = 4*k - 2*l + 2. Solve -27 = 3*w - 4*n, -4*n = -z*w - k*w - 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60014998 divided by -60014998.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464606196.\nAnswer: 2, 3, 38717183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185762128*z**4 - 18217*z**2 + 989 wrt z?\nAnswer: 4458291072*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99\/38 - -21\/19. Let d = -1.5 + 2. Which is the closest to -3\/8? (a) d (b) x (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421 (base 12) to base 10.\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3721, 7430, 11163, 14938, 18773?\n\"Answer: 3*o**3 - 6*o**2 + 3706*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419584648?\nAnswer: 2, 53, 113, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 18*j - 6. What is the remainder when 204 is divided by t(16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 475, 3, 0, 2, 1\/7, 0.4 in ascending order.\nAnswer: 0, 1\/7, 0.4, 2, 3, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 16*z - 792. What is the tens digit of v(-79)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, 4, -1, 3, -27, -3 in decreasing order.\nAnswer: 239, 4, 3, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 60*f**2 + 18*f**2 + 11*f**2 + 13*f**2 + 13*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/192)\/((-3)\/(-30)). What is the fourth smallest value in -0.5, -5, r, -4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76255 by 101.\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-8)\/(-504)*-7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w - 6547 = -64*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((r\/((r\/r**6)\/r))\/r)\/r)\/r)\/r**4)**50)**37)**(2\/19) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72260000 rounded to the nearest one million?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 177 + 796 = 182*c. Sort 1, -3, 0.4, -4, c in increasing order.\nAnswer: -4, -3, 0.4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-35) - (-144)\/(-126)*-2. Solve -2*s = 11*h - 7*h + 2, i*h + 6 = 4*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 + 1 = 2*t, 4*t - 9 = -3*b. What are the prime factors of 1 - (b + -8)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -128. Solve v + 12 = -3*g, v - 20 = -v + s*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3816 - 5487. Let w = n - -2505. Suppose -10 - w = -4*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2994.1937 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, 6, -9 in ascending order.\nAnswer: -303, -9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t - 80 = 102 + 42 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*3\/9)\/(-3*742\/11448).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/14 - 108\/(-28). Let l(q) = 3*q - 9. Let z be l(t). Sort 0, -5, z in descending order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsggrrrgssrsrrgs. Give prob of picking 1 g, 1 r, and 1 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70084751.\nAnswer: 11, 1451, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28294838*t**2 + 14310066*t wrt t?\nAnswer: -56589676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-45) + 2 + 2\/(-10). Suppose 3*u - 531 = -3*q, 407 - 38 = c*q - u. List the prime factors of q.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 687*p - 3475 - 9578 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x**3 - 7*x**3 - 24*x**3 + (2*x**2 + 5*x**2 - 4*x**2)*(2*x + 2*x - 2*x).\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2884 - -135554\/47. Let n = r - 95\/376. Which is the nearest to -2? (a) n (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -164*u**3 - 4*u**2 - 17*u - 12. Let b(o) = -333*o**3 - 7*o**2 - 35*o - 21. Determine -4*b(t) + 7*x(t).\nAnswer: 184*t**3 + 21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 23. Determine o(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 a when four letters picked without replacement from jjnanmwnaman?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19494 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23560452 (base 9) to base 11\nAnswer: -6541601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 3, -1\/754, -2 in decreasing order.\nAnswer: 3, 1, 0.1, -1\/754, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(42\/(-9))\/7. Put b, 10, -1 in descending order.\nAnswer: 10, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1829217 and 71823.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4 and 9\/(-15)*-6 + -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.200072 - -0.2. What is x rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27779 is divided by 189?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3)*(-2)\/6. Let b(m) be the first derivative of m**2\/2 - m - 11. Give b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2)*d)**3 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 0 - 8) + (2 - 2). Let b = z - -14. Solve 0 = b*j + 2*j + i - 7, 6 = 4*j + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 + -172. Find the third derivative of -4*l**4 + r*l**4 + 4*l**2 + 9*l**3 - 12*l**2 + 12*l**2 wrt l.\nAnswer: -24*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k - 123. Let b be z(-9). Let i be 16\/140*(b + 17\/2). Sort 0, 9\/2, i.\nAnswer: 0, i, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -741766848*l**2 + 69*l + 964982 wrt l.\nAnswer: -1483533696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 4 = -5*q + 2*b, 0 = 2*q - 4*b. Let n be (q + 2)*-3*(-42)\/36. Let h(t) = -t**3 - 10*t**2 - 21*t - 1. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 3. Let r be j(-6). Let h = r - 14. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117186966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 - d + 8. Let q be x(0). Let n(m) = m**2 - 45*m - 3156. Let r be n(-38). Which is the nearest to q? (a) r (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -123.\nAnswer: -61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1874*m - 1333*m - 3246 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*t - 30*t - 7844. Sort t, -1, 5, 2 in descending order.\nAnswer: 5, 2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -93.5. Which is the third biggest value? (a) 1 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(3)*-2)*-4)\/(1*sqrt(200) + (sqrt(48) + sqrt(48) + sqrt(48) + sqrt(192)\/sqrt(4))\/sqrt(6))*2*-1.\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23 + 256 + 92 - 146*p wrt p.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 15) to base 8.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h + 17. Give j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10556 divided by 7?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989 = -81*l + 1120 - 3 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2958\/19 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -125*g**2 + 0 - 45*g**2 + 0 + 0. Let t(k) = -9*k**2. Give t(f(u)).\nAnswer: -260100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Find the third derivative of 116419*u**3 - 77769*u**2 wrt u.\nAnswer: 698514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 1\/3*b**3 + 0*b**5 + 0 + 0*b + 21*b**2 + 3\/20*b**6 + 0*b**4. Differentiate k(t) with respect to t.\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uurr when four letters picked without replacement from {u: 11, r: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 7. Let q be a(3). Let i(d) = -q*d + d**2 + 0*d**2 + 3 - 2 - 12*d. Does 13 divide i(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6101, 6102, 6101, 6098?\n\"Answer: -d**2 + 4*d + 6098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -109. What is the remainder when u is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f - 8*f + 3*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88, 736, 1820, 3340?\n\"Answer: 218*k**2 - 6*k - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1540*o - 2981 = 13959 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 4*b**6\/15 + 13*b**5\/5 - 10*b**4\/3 - 14*b**3 - 11*b - 4. Let a(f) = 0. Calculate f.\nAnswer: -7, -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqccqcqcc. Give prob of sequence cqq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 144 = -3*d - 4*m, 4*m - 20 = 0. Suppose -5*v = -d - 14. Let l = v - -91. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198724.\nAnswer: 2, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = 3*u, -4*x = -4*u + 3 + 5. Let k(a) = -1198*a - 27. What is the hundreds digit of k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 - 2*g**2 - g**2)*(10*g + g - 3*g) + 0*g**3 + 0*g**3 + 14*g**3 to m*g**2 + o + i*g + n*g**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 5*u - 19 = 0, 17173*u - 17178*u = 3*v + 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-518)\/148)\/((-2)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 10*u + 3. Let b(c) = -53 + 21*c + 20 - 11*c**2 + 14 + 12. Let f(g) = 6*b(g) + 13*t(g). Factor f(i).\nAnswer: -(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(4\/9))\/w**(-3\/2)*w**(-1\/6)\/w*w*(w\/(w**(-2\/7)\/w)*w*w)\/w*(w\/((w**1\/w)\/w))**(-9)*(w**(5\/2)*w)\/w*w**(5\/6) assuming w is positive.\nAnswer: w**(-598\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/4200 + g**6\/300 + 3*g**5\/200 + 15*g**3\/2 - 30*g. Let a(b) be the second derivative of u(b). Factor a(f).\nAnswer: f*(f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 15*d**2 + 4*d + 22. Let k = 2 + 13. Let s be o(k). Suppose s = 3*v - 86. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -4\/13 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -133, -196, -259?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 41318.6 and 417479.\nAnswer: 458797.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - i + 7, -5*o - i = -4*i - 30. Suppose -16*k = o*k - 11666. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 475, 1128, 1935, 2896, 4011, 5280?\n\"Answer: 77*c**2 + 422*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2218*l**2 + 6 - 10*l**3 + 2218*l**2 wrt l?\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/2 - 2*o**2 + o. Let a be m(-8). Let k(h) = -15 - 5 - h**2 + a. Let w(x) = -17*x**2. Give k(w(t)).\nAnswer: -289*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.02 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 460, 959, 1534, 2227, 3080?\n\"Answer: 7*m**3 - 4*m**2 + 462*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4\/3 (b) -16\/7 (c) -1\/8 (d) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t. Let a(n) = 12*n. Give a(g(v)).\nAnswer: -84*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - j)*(-1 + 1 + 8*j - 2).\nAnswer: 8*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - -0.21. Let z = 0.237 - b. Round z to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - r + 17, -2*t + 10 = 20*r - 18*r. Let g(p) be the third derivative of 0 + 0*p**3 + 0*p + p**2 + 1\/12*p**t. Let k(i) = 2*i. Calculate k(g(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 42*n = 1712. List the prime factors of n.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 19*d. Let v(m) = 152*m**2. Give a(v(y)).\nAnswer: 2888*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzmzzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by -18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = -15. Let o(h) = h**2 + 13*h + 20. What is the tens digit of o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2200*z**3 - 222*z**2 + 5?\nAnswer: -13200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 4)*(1 + 0 + 0)*(-4 + 4 + b) in the form w*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Let c be (j\/(-3))\/(3\/(-81)). Let z = 28 + c. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (226\/(-20))\/113*-920?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 56. Suppose -i - 1 = -g. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 156 = 4*u, -80*q - u - 107 = -83*q. Calculate the smallest common multiple of 17 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -492, -504, -520, -540?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283191743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 14, 37, 78, 143, 238?\n\"Answer: q**3 + 4*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14384 or -13994?\nAnswer: -14384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/28 + (7\/98)\/((-1938)\/17544).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 0*t**3 + 9*t + 11*t**2 + 3*t**3. Suppose -d = d - 12. Let b(a) = a**3 + 6*a**2 + 5*a. Determine d*c(l) - 11*b(l).\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -21, 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(2) - (sqrt(200) + sqrt(200)*1)) + sqrt(2)) + sqrt(84)\/(sqrt(48)*-5) - (sqrt(1764) + sqrt(1764)*2 + sqrt(1764))\/(sqrt(63)\/(sqrt(9)*1)).\nAnswer: -1087*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -119*w**2 - 2976*w - 13. Let m be n(-25). Solve m*a + 187 = 223 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuupp. What is prob of sequence up?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1765 = -176*b + 171*b. Let l = b + 357. Solve -12 = 4*i + 2*c + 18, 0 = 2*i - l*c - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.0752 litres to millilitres.\nAnswer: 13075.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334281?\nAnswer: 3, 111427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 92 - 78 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861636206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88738, -88732, -88716, -88684, -88630?\nAnswer: -88548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -7 (b) -2 (c) 53\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 669? (a) -135 (b) 1 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4925*g**3 + 43*g**2 + 96474*g - 18.\nAnswer: -29550*g + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 17450064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:16 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 944, 1, -7, 102 in ascending order.\nAnswer: -7, -3, 1, 102, 944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1162*c + 1163*c - 2326*c - 1. Let h = -22 + 18. Let b(v) = -2*v**2 + 4*v + 4. Let k(l) = h*r(l) - b(l). Let s(f) = -2*f. What is s(k(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(1\/8*4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-85)\/(-17))\/((-2)\/(-622)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1689.2 - -1685.2. Which is the second biggest value? (a) t (b) 2\/31 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/11))\/x)**(-11\/5)*(((x**(-29)*x*x)\/x)\/x)\/x*x**(-2\/47) assuming x is positive.\nAnswer: x**(-6966\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/5 + 26\/65. Suppose o + v*o + 134 = 3*r, -6 = 3*r. Let w = 133 + o. Calculate the greatest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*o = -4, 3*h - 4*o + o = -3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 1242*y**3 - 7*y**2 + 9*y**2 - 1245*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 10 = x + 3*f, f + 7 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdn when three letters picked without replacement from iqdkniqihniiqnihi.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 51*s + 466. What is the tens digit of v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.62 - -3.38. What is the smallest value in 0.2, d, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/75*1\/3*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -139\/5. Let n = -6 - -4. Which is the third biggest value? (a) n (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a9 (base 16) to base 8\nAnswer: -4251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8266 - -8272. Solve -3*q - 2*m - r = 0, 5*q = -15*m + 11*m - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 305, 991, 2325, 4523?\nAnswer: 7801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*m**3 - 1257*m**3 + 13338*m**3.\nAnswer: 13036*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**30)\/(a**(-3\/25)\/a))**(-8))**(11\/4) assuming a is positive.\nAnswer: a**(-18766\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 57, 0.195, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 115030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -114. Let u(a) = -a + 57. Let y(h) = 3*q(h) + 7*u(h). Let z be y(-9). Which is smaller: z or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544562.\nAnswer: 2, 29, 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 9*s + 4*o + 121191, -s - 3*o = -24242. What are the prime factors of s?\nAnswer: 24239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1120487282 to the nearest integer?\nAnswer: 33474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.9 - -0.1. Let b = 10 - n. What is the nearest to b in 4, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4.94. Let h = g + 1.94. Let z = 91 - 635\/7. What is the closest to z in 0.5, h, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Suppose 19 = 3*c - r*x + 2, -2*c - 5*x = -28. Let w = 119\/13 - c. Put -2, w, -4\/5 in ascending order.\nAnswer: -2, -4\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 + 7. Let z be y(8). Solve 8 = -5*j - z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103096845 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 3:02 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 29331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 2, 149.78, -4\/5 in descending order.\nAnswer: 149.78, 2, -4\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244273?\nAnswer: 17, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/17)*k**36 assuming k is positive.\nAnswer: k**(613\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 16970.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 j, and 1 p when four letters picked without replacement from {w: 5, j: 5, p: 2}.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*m**2 - 218*m**2 + 5 + 3 as b + k*m + a*m**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)*q)**(1\/4))**(7\/13) assuming q is positive.\nAnswer: q**(7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162.13 and 14.\nAnswer: -2269.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 18. Find the common denominator of -89\/60 and (246\/40)\/c - 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 11 = 0. Suppose 2*i - 21 = -2*y + 5, 0 = -y + i + n. Suppose 5*o + 2 = y. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22323 divided by 7.\nAnswer: -3189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -408*x**2 + 51*x + 65902 with respect to x.\nAnswer: -816*x + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*b - 2*b + 6*b - b)*(0*b + 0*b - 2*b) as l*b + m*b**2 + a and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15974.\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005637981 rounded to six dps?\nAnswer: -0.000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 7268?\nAnswer: -726a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7457122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-9 - -14) - ((-8 - -7) + -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - f**2 + 10*f + 30. Let j be h(0). Calculate the greatest common factor of j and 456.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*0*1\/2. Let s(p) = -p + c*p**2 - 37 + p**2 + 38. Let y(x) = 10*x**2 - 9*x + 9. Calculate 18*s(t) - 2*y(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 440 = 3*s - 4*s, s - 5*v = 442. Let g = s + -287. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1900) + 3 - (5 + 5 + sqrt(19)*-3))**2.\nAnswer: -260*sqrt(19) + 3311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 3 - 12*r**2 + r**2 - 3*r + 10*r**2. Let g be 4\/14 + 130\/35. What is the units digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 26499 (b) -2\/21 (c) 3 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19911.3g?\nAnswer: 19.9113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 + 0 - (3 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -873424.2 * -5\nAnswer: 4367121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 3*r**4\/4 - r**2\/2 - 2*r. Let y = 15 - 13. Suppose y*i = -4*t - 18, -4*t - 20 = 5*i + t. Determine l(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30.82 in -0.1, 5\/6, 3, -3\/5, 0.04?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384330, -384361, -384394, -384429, -384466?\nAnswer: -384505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/27 and -95\/8326?\nAnswer: 224802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1345, -1449, -1587, -1765, -1989?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 6 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from uuizzuiixxiiu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 2, f: 8, o: 1, h: 4, a: 2}. What is prob of sequence ygf?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + 144*b + 1133. What is p(-9)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3983698*a**3*b**3 + 19*a**3*r**2 + 5*a**2*b**3*r**2 + 20*a**2*b**2 - 2*a*b*r - 2*a*r**2 - 16*a - r**2 + 9 wrt b.\nAnswer: -23902188*a**3 + 30*a**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from pnbnrp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 528*i**2 - 1245*i - 4. Let r(d) = d**2 - 4*d - 1. Let z(c) = m(c) - 4*r(c). What is the second derivative of z(o) wrt o?\nAnswer: 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002295194 rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 398*u - 430*u + 256 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 43 (c) 5\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 + 0)*(-4)\/8. Let d be (-30)\/(p*(-2)\/160). Is 6\/(-27) + d\/(-18) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 421 and 6669061.\nAnswer: 6669061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9631878, -9631875, -9631870, -9631863, -9631854, -9631843, -9631830?\n\"Answer: z**2 - 9631879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/924)\/((-15)\/7 - -2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20328*z + 20331*z - k + 3, -3*k = 4*z + 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353925 is divided by 338476?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51584 and 640.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3024 by -168.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(1\/(-4)*1984\/620))\/(2\/(-2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 + 4*g**2 - 2*g + 3. Let k be m(3). Suppose -159 = -2*d - f, -3*d + 3*f + k = -f. Let y = d + -51. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -60. Suppose -179 = 3*n - 98. Let m = n + p. Solve 15 = -m*a + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52765 and 7930?\nAnswer: 1371890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -530 + 434 - k**3 - 6*k**4 + 9*k**3 + 4*k**4 + 28*k + 62*k**2 = 0.\nAnswer: -3, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 + -616. Let o = c - -1072. What are the prime factors of o?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:31 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3.02. Let t = -74940 + 1124098\/15. Which is the biggest value? (a) t (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27430003*i**4 - 15470*i**2 + 544 wrt i?\nAnswer: 658320072*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23919)\/1084328*34\/(-12)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*u + 3*u - 5*j, j + 4 = 0. Is (24\/9)\/(u\/54) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 444447 and -0.2.\nAnswer: -88889.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.06 (b) -11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3269356352 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*k - 5*t - 5, -4*k = -5*t - 51. Suppose 0*x + k = 3*x. Let w = x - -3. Solve -2*j = -5*j - 3*a - w, -2*j - 4*a = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:08 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28037095 and 107262?\nAnswer: 5959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4006932425?\nAnswer: 5, 43, 661, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 - l**4 + 0*l**4)*(362*l + 68*l + 223*l - 2).\nAnswer: -1959*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:36 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/176 and -113\/576?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799253.\nAnswer: 173, 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 29, 12, 3 in ascending order.\nAnswer: -1, 0, 3, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(209)*-1*2)\/((sqrt(66)*1*5)\/sqrt(6)).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 6*t. Suppose 343 = 3*r - 4*m, t = -4*r + 3*r + 5*m + 96. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58010186, -58010184, -58010182, -58010180, -58010178, -58010176?\n\"Answer: 2*o - 58010188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 0*i + i**2 + (-3*i**2 + 0*i**2 + 4*i**2)*(-66 + 73 + 171) as a + v*i + r*i**2 and give r.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/845, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*n**2 + 9 + 31*n**2 - 57*n**2)*(-4*n**2 + 6*n**2 - 3*n**2).\nAnswer: -3*n**4 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 8*c**2 + 9*c + 22. Let q = -74 + 65. What are the prime factors of l(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 1168?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 + 2*v**2 - 93*v - 497. What is b(0)?\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 716, -1\/3, -1, -4, -3\/7 in decreasing order.\nAnswer: 716, -1\/3, -3\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/7 + 48*n**3\/7 + 44*n**2\/7 - 48*n\/7 - 46\/7 = 0.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3222 divided by 1\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(81) - sqrt(81))\/(sqrt(48)*5))**2.\nAnswer: 27\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-204)\/1080*-70 - 2\/9. Solve 0 = -4*h - q - 3, 10*h - a*h - 7 = -4*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-114)\/(-2793))\/((-6)\/21))\/((-3)\/3*-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 3*t + 4 - t + 11 - 12.\nAnswer: 2*t + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -697, -1369, -2015, -2623, -3181, -3677, -4099, -4435?\n\"Answer: 2*q**3 + q**2 - 689*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 427681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 9) to base 6\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6659\/321 + 63\/107. Factor 0*z + 16\/3*z**2 - d*z**3 - 12*z**4 + 0.\nAnswer: -4*z**2*(z + 2)*(9*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 59 = j, -123*j - 358 = -118*j - h. Which is smaller: j or -29?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18980 and 2080.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 6. Let w be k(6). Suppose 12 - 1 = u + o, 3*o = -9. Let p = u - 0. Solve p + w = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 366\/27 + 80\/180.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339 is divided by 775?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + -0.36. Let f = 127 + -144. Let p = f + 16.97. What is the smallest value in p, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 3*k = -9, -560*h + k + 11 = -563*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25731\/(-20013))\/((-3)\/(-14)))\/(28\/2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -4. Let o(b) = b + 3. Calculate o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*v - 46*v - 4. Let f be 2\/7 - v\/(-7). Let r = -7 - -13. Solve -r*m + m - 20 = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*n + 23 = 0, -3*w + 5*w = 5*n + 5. Suppose -930 - 300 = -w*c. 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 ninth root of 44028 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(5 + (sqrt(125) - 4*sqrt(125)) + -4).\nAnswer: -10 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -1133929?\nAnswer: 1133929.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v - 71. Determine q(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.7135 (b) 1 (c) 66 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117112 in -7, -3, 1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*d - 4536 = -101*d. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/36*(32\/(-18))\/(-8).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 200 = 11*x. Find the first derivative of 42*j + 22 - 216*j + x + 85 wrt j.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80905676 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, j: 3, k: 9, f: 2}. What is prob of sequence jkkj?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7044, 14085, 21126, 28167, 35208?\nAnswer: 42249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*10\/112 - 10\/35. What is the nearest to t in 4, -2\/7, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 123. Suppose 2*w + 204 = 558. Suppose l - w = a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(v**2 + v**4 - v**2) - 2*v**4 + 8*v**4 + 4*v**4)*(-2 + 3 + 1).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.0019 - -15. Round x to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 44*o**2 + 3*o - 3. Let s(b) = -44*b**2 - 2*b + 2. Give -2*c(v) - 3*s(v).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -20*t**2 + 3*t - 16. Let n(v) = -19*v**2 + 4*v - 16. Let b(q) = 4*k(q) - 3*n(q). What is the first derivative of b(l) wrt l?\nAnswer: -46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**7\/70 + r**5\/20 + 3*r**2\/2 + 3*r. Let j(w) be the first derivative of l(w). Find the third derivative of j(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 160 = -14*n. Sort -12, n, 3.\nAnswer: n, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 50*t**2 - 231*t - 270.\nAnswer: -(t + 2)*(t + 3)*(t + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -408 + 14?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.5, 2, -33?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4 + (2 - 4 + 0)*(1 - 1 - 2) - 6 + 4 - 2)*(-4 + 8 + 1)*(-4 + 4 + 3 - f)*(5*f + 2*f - f).\nAnswer: -30*f**2 + 90*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -767, -1713, -3035, -4733, -6807?\nAnswer: -9257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20*-4*38*(-282)\/235. Suppose 0 = 11*s + 21*s - w. What is the highest common factor of s and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38803.\nAnswer: 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -11)\/(-3*(-2)\/(-4)). Suppose 0 = -2*a + a + 2*y - 4, 3*a - y = j. Calculate the least common multiple of 1 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 122*-3*1\/(-6). Let r = 47 + -10. Let l = j - r. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 920? (a) -26 (b) -9 (c) 0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13126 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-68)\/(-12)*(3\/10 - 0) and 127\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from lnzvnfzznjf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150.5 - 0.5. Let v = 159 - t. What is the second smallest value in 0.1, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2004, -8094, -18210, -32340, -50472, -72594?\n\"Answer: 2*a**3 - 2025*a**2 - 29*a + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4bc - -288?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in 3\/2, 88, -40?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -51*z - 815. Let f be y(-16). Let i(q) = 61*q**3 - 1. Give i(f).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424 (base 10) to base 6\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 44*n - 16 = 0. Sort n, 17, 5, -5 in ascending order.\nAnswer: -5, n, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 2026871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqxqqzzqz. Give prob of sequence xqzz.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1210*11 - (3 - -10 - 10). Suppose 6539 = 2*k - m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 2:00 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)*o*o)\/o**0*(((o\/o**2)\/o)\/o)\/o**(4\/3))**(-1\/39) assuming o is positive.\nAnswer: o**(28\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4139754?\nAnswer: 2, 3, 689959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5590, 7709, 9828, 11947, 14066, 16185?\nAnswer: 18304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(2) + sqrt(18)*-2.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -279\/2. Let z = 297 - 293. Which is the closest to 0? (a) 1 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (-2*sqrt(84)*1 + sqrt(84)) - sqrt(84))\/(sqrt(84)\/(-2*sqrt(7)) - sqrt(12)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*m**5 + 7*m**4 + 23935*m**3 - 2595778*m**2 wrt m.\nAnswer: 480*m**2 + 168*m + 143610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10020 (base 3) to base 12\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 + -882.495523.\nAnswer: -622.495523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 + 7*p**2 - 6*p - 2. Suppose 3*h + 22 = -2*b, -5*b + 0*b = 5*h + 40. Let y(x) = 9*x**3 + 13*x**2 - 11*x - 4. Determine h*y(m) + 11*d(m).\nAnswer: m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/(-75))\/((-2)\/(-10)). Suppose 0 = -5*w - k*f - 4, 6*f + 2 = -2*w + 4*f. Solve -b - b + 2 = w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04861607 - -0.3\nAnswer: 0.34861607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - z = -2*z + 8*h + 105, -20 = 2*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 5. Let o be 74\/(-14) - 14\/(-49). Let x(u) = 6*u - 6. Let z be ((-16)\/(-40))\/(3\/(-30)). What is o*r(v) + z*x(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4283 - -4626.4. Let q = 301 - b. Round q to 0 dps.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 - 1268*r - 7641. Let a be s(-6). Suppose 3*w + 15 = 0, -4*j = 5*w - w - 376. What is the greatest common factor of a and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204900 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16614*a - 3. Let i be z(4). Let k = i - -14045. Suppose 5*n = 2*w + k, -19015 = 2*n - w - 51214. Round n to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161612, 161604, 161594, 161582, 161568, 161552?\n\"Answer: -n**2 - 5*n + 161618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 3, s: 2, t: 2}. What is prob of picking 1 s and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 16 = m + 10, 0 = 2*m + 8. Calculate the remainder when 30 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(2*u + 1 - 1) + 77*u + 12*u + 27*u.\nAnswer: 118*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24833.395 take away 1?\nAnswer: -24834.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316*b - 4670 = -139*b + 47710 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 24 = 4*q, 3*r - 23*q + 1 = 3*r - 4*r - 24*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 836*o**2 + 11904*o + 79920.\nAnswer: -4*(o - 18)*(o + 5)*(o + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from kyxqynaqannq?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -28. Let v = -12 - o. Let u be (5 + v)*(-6)\/(-4). Solve 0 = -2*l - l - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtxu when four letters picked without replacement from {t: 1, u: 2, r: 2, x: 1, c: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, l: 6}. Give prob of picking 3 l and 1 z.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*a**6*c - 477936*a**4*c + 2*a**2*c + 3*a*c + 5056*a - 39 wrt a.\nAnswer: 5520*a**3*c - 11470464*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283386 (base 9) to base 6.\nAnswer: 3413210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 25*v - 456. Let z(c) = 231 + 2*c - 108 - v. Calculate z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyyyyzyzzzzzyylyey. Give prob of picking 3 z and 1 e.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 10*j**2 + 8*j + 11. Let d be k(9). Suppose -d*v = 3*v - 20. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 25*i - 196. Determine w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -25*m**2 - 18*m + 6. Let c be n(-3). Let t be 99\/c + 3262\/5470. Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 8 - 917\/84?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(2448) - sqrt(2448) - sqrt(2448))**2 + (sqrt(2448) - ((sqrt(2448) - (sqrt(2448) + 2)) + 3))**2 + sqrt(2448) + sqrt(2448))*2.\nAnswer: 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Suppose 0 = 5*h - 27 + 7. Let x(w) = -w + h*w + 0*w. Calculate x(o(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84)*6)\/(sqrt(300)*-6))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 5*u + 6. Suppose 2*c - u*c = 0. Suppose -f - 2*f + 3 = c, -4*f = 3*s - 10. Solve -3*i + 2*q + 6 = q, -4*i - s*q = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-40))\/(2 + -4 + -18)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.3 (b) -3 (c) 6\/37 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16269 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 65 = 5*p - 64, 3*h = -p - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218685681*x**2 + 104766269*x?\nAnswer: -437371362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 188226 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + o**2 + 11*o + 27. Let w be r(-3). What is the remainder when 344 is divided by (-23)\/(w\/4 + 5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88 - 33 - -33) + 16?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbb when three letters picked without replacement from abnbnakann?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebdbblbeblbbbbbld. Give prob of picking 2 d.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208) + (sqrt(208) - (3 + sqrt(208) + -2)) + sqrt(208))) + -1*sqrt(208)*-5)**2.\nAnswer: 32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*h + 4*k, -4*h - 21410*k + 21411*k = -19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 (base 6) in base 4?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 5*l**2 + 2*l + 6. Let q be m(-4). Suppose 0 = q*d - 524 - 596. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1158788 divided by -4.\nAnswer: -289697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*b - 6*v - 24, -4*b - 4*v + 64 = 0. Let f(o) = 6*o + 106. Is f(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 - -12 - 4\/(3984\/1012). Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(2\/(-184)*2). Is -23 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*x - 1110, 0*x - x + 442 = -2*r. Find the common denominator of -11\/8 and -2 + 2*r\/(-64).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p + 2*p)*(-1616*p - 100*p**2 - p**3 + 1616*p).\nAnswer: 3*p**4 + 300*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12091 and 24.\nAnswer: 290184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129\/10 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -72.062281?\nAnswer: 72.082281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 435945 to the power of 1\/2, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 12*z**2 - 20*z - 13. Let g be u(-13). Suppose -n - g = 31. Let t = 264 + n. List the prime factors of t.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1100)*-2 + sqrt(1100))*3 + -5)*-3*-2*2)**2.\nAnswer: 43200*sqrt(11) + 1429200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.42352 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 4. Let g be c(3). Let x(m) = m + 12. Let d be x(g). Suppose -d*t = 6 - 16. Solve 0 = -2*o - t, 5*p - 4*o = -15 - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 1 + 0*c + 5*c + 3. What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 + -229. Let q = j + -70.1. Which is the second biggest value? (a) -4 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34957, 34941, 34915, 34879?\nAnswer: 34833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkdagy. Give prob of picking 1 a and 2 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 644535\/(-27)*3 + -15. What is z rounded to the nearest one thousand?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 8*q - 3. Let y(w) = -2*w**2. What is b(y(u))?\nAnswer: -12*u**4 - 16*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*a**3*j + 3*a**3 + 2*a**2*j**2 + 6*a**2*j + 2*a - 638 with respect to j.\nAnswer: 60*a**3 + 4*a**2*j + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4079 + -0.0079. Which is the nearest to -2\/3? (a) 4 (b) n (c) -0.8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x + 56. Let y be (-8)\/x + (-52)\/133. Let h = 13\/57 - y. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.5 - -8. Let n = -4.5 - w. Which is the nearest to -5? (a) n (b) -0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20712 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, r: 5}. What is prob of picking 3 a?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/20 + n**4\/2 + n**3\/3 - 7*n**2\/2 - n. What is g(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000216 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.83 - 5.17. Which is smaller: s or -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/27)\/(11\/(-99)). Suppose 23 - 11 = q*c. Let o(r) = -r**2 + 4*r + 11. Determine o(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*p = -9*p, 3*p = -5*r + 4. Suppose -525 = -r*j + w, -5*w = -12 - 3. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 135, 143, 153, 165, 179?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 3. Let a(m) = 3*m - 8. Let i(u) = 4*a(u) - 10*b(u). Let x = -36 - -38. Let n(p) = 1. Give x*n(c) + i(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -4. Suppose h*b - 249 = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z + 6*z - 5 + 35 - 8*z + 9*z. What is b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10107?\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 231515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(475) + 3 + -3 - (-5*(-1 + sqrt(19)) - sqrt(38)\/(sqrt(6)\/sqrt(3)))**2).\nAnswer: -2836 + 260*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12548597471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-40) - 1204\/(-5) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*b + 125*b - 177*b - 293*b**2 in the form z + k*b + o*b**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 30. Let c(p) = -p**2 + 40*p - 24. Suppose 551 - 122 = 11*z. Let j be c(z). Is t at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*b + 27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -8\/3*v**3 + 0*v - 4\/3*v**2 - 13\/6*v**4 + 49 - 1\/9*v**6 - 4\/5*v**5. Determine d so that k(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178 + 108. Let h be (-2)\/5 + -7 + (-478)\/t. Which is the third smallest value? (a) h (b) 0.07 (c) -4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 = -2*u. Let x(g) be the first derivative of -g**2 - 6*g - 40107. Let j(m) = m + 1. What is u*j(c) - x(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 42*f**2 + 11 - 11 + 0*f**2 in the form x*f + l + q*f**2 and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 4*p**2 + 5*p + 3. Let q be g(5). Let h(m) = q - 2*m + m - 3. Let z(v) = -3*v**2. Determine z(h(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22612654 (base 7) in base 14?\nAnswer: 399dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*v - 2, 3*v + 5*h + 14 = 6*v. Let i(r) = 2*r**2 + 2*r - 1. Let g be i(v). Suppose -1279*b + 1272*b = -35. Solve -b = -g*y + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*a - 556 - 228 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -86. What is the remainder when 48 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0237226385 rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 13*z + 39. Let o be m(9). Solve -o*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*h + 540, -3*h - 61 - 479 = 5*n. Let s = 1619 + n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5 + 67. Suppose -2*i - 5*x + 198 = 0, -212*x = -5*i - 215*x + 438. What is the lowest common multiple of i and u?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10452 or 10451?\nAnswer: 10452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, f: 3, t: 7}. Give prob of sequence ttnn.\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -19, -24, -27, -28, -27?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-28))\/((-72)\/(-378)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*f - 6*f - 44 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, q: 1, r: 1, x: 1}. What is prob of picking 3 f and 1 q?\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 7*u**6\/120 - u**5\/5 + 3*u**4\/8 - 2*u**3\/3 + 107*u**2. List the prime factors of y(5).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.9. Let g = 1678\/15 - 112. Let l = -16 - -19. Which is the closest to 1? (a) l (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.97 - 0.03. Let f = 7.081 + -3.081. Sort f, -1, m, -0.3 in increasing order.\nAnswer: m, -1, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*v - 226*v = -161*v + 1435 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34*-5141512.\nAnswer: -1748114.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1728 and 137\/6161832.\nAnswer: 49294656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 91*j**4 - 8*j**3 - 7*j**2 + 8*j. Let m(l) = -61*l**4 + 5*l**3 + 5*l**2 - 5*l. Let t(v) = 8*m(v) + 5*o(v). What is the third derivative of t(s) wrt s?\nAnswer: -792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {k: 3, h: 5, l: 1, s: 1, d: 1, a: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -836100 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 4*c**2 - 9*c + 3. Let i be q(6). Let d be 1\/(-7) + 87\/i. Suppose d*p = 2*n + 61 + 1, n - 65 = -4*p. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 + 6)\/110)\/((-6)\/36)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300 + 305. Suppose -5*t - 4 = 1. Let z be ((-18)\/18)\/((-2)\/(-6)). Sort y, -2, t, z in increasing order.\nAnswer: z, -2, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 186568616 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = 24. Calculate the least common multiple of -4*(u + (-34)\/8) and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 7*t**2 - t + 6. What is y(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 3*n - 103, 119*x + 4*n = 121*x + 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332, 972, 1608, 2234, 2844, 3432, 3992?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 270206714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 10*d + 11. Suppose 27 = 2*f - 4*g - 3, -36 = -3*f + 3*g. Let c be m(f). Solve -8*a + 4*a + 8 = 0, 0 = 4*z - 5*a + c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-2 - (sqrt(5) - 6*1*sqrt(5) - sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-183)\/(243390\/8056) + (-5)\/((-5)\/6)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127644 is divided by 6382.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43753\/8 + -5459. Calculate the common denominator of j and (-1625)\/(-1330) + 3\/(-42)*2.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*t**2 + 35*k**2*t + 2*k*t**2 - 7*t**2 + 7 wrt k.\nAnswer: -4*t**2 + 70*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**23*(c**5*c)\/(c\/((((c\/(c**(-1)\/c))\/c)\/c)\/c)*c)*((c**(-2\/7))**42)**9 assuming c is positive.\nAnswer: c**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3\/3 + 9602. Let a(h) = -4088*h. Determine a(m(r)).\nAnswer: -4088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 2*a**5\/3 - a**4\/24 + a**3\/6 - 5*a**2 + 2. Let t(z) be the second derivative of u(z). Is t(1) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 2)*(2 + 3 - 3) - 3 - 2 + 4 + 1 - 5 + 2 - 1 + 2 + 1 - 1 + 4 - 1 - 464 - 60 - 46)*(-100*g + 187*g - 102*g) to the form z + c*g and give c.\nAnswer: 8595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*s = -198*s - 3*o - 75, 2*s - 3*o = -35 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 0. Let z(n) = 20*n**2 - 11. Let y(a) = -114*a**2 + 23. Let s(j) = -40*j**2 + 8. Let l(i) = -17*s(i) + 6*y(i). Give t*l(c) - 2*z(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 13*d**2 - 13*d - 6. Let p be b(-12). Let h(f) = -f**3 + 5*f**2 - 3*f + 5. Let z be h(p). Let y = 24 - z. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 5*d - 5*q, d - 3*q = 3*d + 75. Is 35870\/110 + 3\/d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at least as big as -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 - -368. What is k rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1566934 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m**4 - 2*m**2 + 15*m**4 - 19*m**4 + (2*m**4 + m**3 - m**3)*(-1 + 2 + 0) + 5*m**4 - m**4 + m**4 + 2 - 2 + 2*m**4 - m**4 - 7*m**4 + 0*m**4.\nAnswer: 4*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.093 + 4.007. Let t = r - -0.9. Sort 1, 1\/5, t in descending order.\nAnswer: t, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21403 - 1230 + 37803 = -1509*m - 5402 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.4 - -13.6. Let q = 18.2941 - 0.3277. Let c = t - q. Round c to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/4 + -49\/20. Put -13, -3, u in descending order.\nAnswer: u, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102753092?\nAnswer: 2, 3, 7, 13128013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 34 = u + 2*n, -3*u - n - 23 = 0. Let z = u - -4. What is the third biggest value in -0.2, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let u(k) = 125*k**3 + 75*k. What is 75*h(y) - u(y)?\nAnswer: -125*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*u**6 + 3*u**4 + 426*u**3 - 1990*u**2 - 2*u + 1 wrt u?\nAnswer: 480*u**3 + 72*u + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*z + 56, -5*z + 86 = f + 2*f. Suppose -37 = -b + g, -4*g = b - 0*b - f. Solve -11 + b = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2032 + 2031. Which is the closest to d? (a) -2\/19 (b) 0.07 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d509 (base 16) to base 5.\nAnswer: 44212332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432396704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z + 1377. Let i be q(45). Solve 1640*j - i*j = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3890, 15557, 35004, 62231, 97238?\n\"Answer: 3890*f**2 - 3*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 44. What is the common denominator of j\/(-18)*(-4326)\/56 and (30\/11)\/(44\/77)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, -9\/14, -1\/5, 2, 11, -2.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -1. Suppose -t*n = -172 + 13. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482, -3584, -12170, -28982, -56762, -98252?\nAnswer: -156194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420159.8214 - 8?\nAnswer: 420151.8214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + 4*m + 3. Let k be q(4). Calculate the common denominator of 19 and (k\/(-12))\/((-1)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 100 = 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 420 = -9*j + 14*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -7. Let a be -12 + (-1968)\/(-84) - 3\/7. Suppose 0 = -19*v - a*v - 16*v. Solve v = -3*k - 8 + r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (46\/24)\/(1\/9) and -115\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 9*g + 9*g - 21*g)*(0*g**2 - g**2 - g**2) in the form o*g + a*g**2 + h + s*g**3 and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2899620?\nAnswer: 2, 3, 5, 89, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, j: 1, r: 4}. What is prob of picking 2 e?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Let p be (-50)\/y + (-2)\/4. Let b = 19 + 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: Is 12 a factor of 18744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 4*c - 1. Suppose 10*n = 6*n + 12. Let o be u(n). Let k = o - 13. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000342787 rounded to six decimal places?\nAnswer: 0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4755*p. Let c(n) = 64*n + 5. Let r(f) = 13*f + 1. Let d(b) = c(b) - 5*r(b). What is d(l(q))?\nAnswer: -4755*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {o: 11, q: 7, b: 1}.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6379 + 277?\nAnswer: 6656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 1. Let l be i(-1). Suppose -5*r + 43 - 13 = l. Let w be 3\/17*r\/9. Is 1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*sqrt(425).\nAnswer: 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42801 + 13843 = -394*x + 29748. Calculate the greatest common divisor of x and 27863.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**5 - 166*t**4 + 768*t**3 - 440*t**2 = 0.\nAnswer: 0, 2\/3, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1177 = 5*l, -14 = 3*m - 2. Calculate the remainder when l is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 + 307. What is the greatest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 590052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i - 11*i - 12*i - 16*i + 715 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-15)\/6) + -7. Let q(d) be the third derivative of -13*d**4\/12 + d**3 + 75*d**2. Is q(k) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-2)\/(-28)). Let g be (4\/(-3))\/(-2) + 0. Let y = 111.03 - 111.13. Which is the closest to y? (a) j (b) -2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*i = -32*i - 182 + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 820998011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-2 + 4)) + -1 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - b - 2*b - 5 = 0, -3*b + 13 = 5*y. Suppose 3*o + 4*f = 9, -21 = -o + 3*f - 5. Suppose -275 = -o*p + y*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-8)\/12)\/(-4 - 2302\/(-576))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -104*a + 111. Let v be b(2). Is v <= -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3\/4, 1, -2452 in descending order.\nAnswer: 1, 3\/4, -1\/3, -2452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 6 + 34 + -10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -159011701*y**4 + 335901719 with respect to y.\nAnswer: -636046804*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 592 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9966 and 26576.\nAnswer: 79728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 9*k + 5*f + 13, 0 = -3*k + f + 9. Suppose -k*z + 5 = 23. Is z > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15319963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.32 - 1.1. Let b = -0.32 + t. Put b, -3, 0 in descending order.\nAnswer: 0, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a626 (base 14) to base 13\nAnswer: -246ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26216184 to the power of 1\/2, to the nearest integer?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 - -0.46. Put h, -4\/3, -15 in descending order.\nAnswer: h, -4\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = w - 3*n + 4, 3*w + 35 = n. Let g(l) = 123*l + 43. Let y(z) = 248*z + 88. Let a(f) = -7*g(f) + 3*y(f). Is a(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/4951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*c - 12729, -2*o + 124*c + 5087 = 127*c. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993.7 rounded to the nearest 10?\nAnswer: -1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -186, -659, -912, -837, -326, 729, 2436, 4903?\n\"Answer: 18*o**3 + 2*o**2 - 605*o + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 3*k**2 + 4*k + 27. Let o be -4 + 2 + (60 - 52). What are the prime factors of a(o)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 174.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -624503\/21 or -29737?\nAnswer: -29737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 15 = 3*b. Let w(f) = 33*f**3 - 3*f**2 + 4*f. What is the remainder when 67 is divided by w(b)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*d = 396*d + 236. Suppose -4*w + 3*c - 17 = 0, 4*w + 4*c + 23 = -1. List the prime factors of w\/(-30) - d\/12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7008 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 65358+0.4\nAnswer: 65358.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2\/(-11) + (-26)\/(-143))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 20795493*c + 132.\nAnswer: 20795493*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -685. Suppose -17*j = -14*j - y - 1811, j + y - s = 0. List the prime factors of j.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 4*m**2 + 3*m**2)*(-3*m**2 + m**2 - 3*m**2) to h + k*m + v*m**3 + c*m**4 + n*m**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 275 * -321.\nAnswer: -88275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 4*r - 8. Let w(a) = 3*a**2 + 4*a - 7. Let p(q) = 5*i(q) - 6*w(q). Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4828, 4528, 4228?\nAnswer: 3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 33428288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (98*r**2 - 177*r**2 + 77*r**2 - 172)*(2 + 3 - 3) in the form g*r + v + t*r**2 and give v.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140429077.\nAnswer: 140429077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262 - 256. Let m(w) = -w + 12. Let l be m(i). Let o(j) = j**3 + j**2 - 4*j + 3. Let z be o(2). Is z at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 - -192. Let u = -78.2 + l. Let a = 7.20000074 + u. Round a to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + (-6 - 0))\/(-3) - -4. Factor -6\/7*l**5 + 0*l + 2\/7*l**3 - 4\/7*l**2 + 0 + 8\/7*l**c.\nAnswer: -2*l**2*(l - 1)**2*(3*l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14848 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 34*f**2 + 21 + (-2*f + 3 - 3)*(1 - 2*f - 1))*(7*f + 0 + 0).\nAnswer: -210*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 49424*h**2\/7 + 301701546*h\/7 - 45108171972\/7.\nAnswer: 2*(h - 146)*(h + 12429)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 120*q**2 + 138*q - 8270. Determine g(60).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((2\/18)\/((-16)\/48))\/((-5)\/75). Solve 3 = -o*g + 3*u, 22*u - 18*u = -5*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**4 - 8*k**3 - 5*k**2 - 25*k. Let f(v) = -3*v**4 - 7*v**3 - 4*v**2 - 24*v. Let b(c) = -6*f(c) + 5*g(c). Find the third derivative of b(t) wrt t.\nAnswer: -48*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 26 (b) 2\/5 (c) 2 (d) 3\/2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-492)\/740)\/1 - (-16)\/(-80) and ((-25)\/(-4))\/(-9*(-4)\/(-96)).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 5. Let o be k(6). Suppose 2*p - 57 - o = 0. Suppose -u + 58 = u. Calculate the highest common factor of p and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/48*(-45)\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let b(d) = 2*d**2 - 36*d - 229. Let o be b(23). Let w(y) = -y**2 + 22*y. What is o*w(a) - 5*t(a)?\nAnswer: -a**2 + 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(((h*h**(-5)\/h)\/h)\/h)\/h*h**(1\/10))**(-2\/67)*((h**1)**(-1\/15))**(-4) assuming h is positive.\nAnswer: h**(89\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -32*j + 389. Give m(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 83\/20*v**5 + 1\/6*v**3 - 31 - 165\/2*v**2 + 2*v + 0*v**4. What is the derivative of f(x) wrt x?\nAnswer: 249*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**3 - 3*z**3 + 4*z**3)*(3*z + 31 - 8*z + 7*z) in the form a + p*z**4 + o*z**2 + l*z**3 + i*z and give l.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:12 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v + 240 = w, -v = 2. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + n)*(-4 + 1 + 5) + (0 + 1 + 1)*(-n - 4*n + 3*n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqyq when four letters picked without replacement from ybqsqyqyybqhybhq?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-2)\/5) - 3. Solve -3*m - 5*u = 17, 4*m - b*m + 5*u + 18 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239343 - 154855. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 2*q - 3. What is the tens digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24 + 0.64. Sort -3, -3\/2, k.\nAnswer: -3, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*g**3 + 42*g**3 + 39*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 6*c**2 + 3. Let a be z(-5). Let s be 6*(0\/1 - -1). Suppose n = 1 + s. Calculate the greatest common divisor of n and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.772 + -1.072. What is the biggest value in -2\/9, s, -40, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313876368 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**5\/15 + 13*r**4\/24 - 6*r**2 + 6. Find the second derivative of d(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 2.1. Let p = 14548.2 - 14548. What is the third smallest value in 1\/3, 2\/9, p, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 1. Let y be q(-4). Find the second derivative of 9*g**3 - 23*g - y*g + 5*g - 4*g wrt g.\nAnswer: 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409 = -55*y + 3*n + 480, -y + 5*y + 5*n - 49 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9306 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:23 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.7 (b) -8 (c) 0.4 (d) 2 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204) + sqrt(204)*1 + sqrt(204))*-6)\/(4*sqrt(12)*4).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003932 to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - (8 + -5) - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 r, and 1 x when four letters picked without replacement from {a: 3, o: 2, q: 4, r: 2, e: 2, x: 1}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -92. Let q = 21\/10 + -13\/30. What is the nearest to w in q, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(a**3 - a**3 - 2*a**4) + 22*a - 18*a + 2*a**4 + 25*a)*((-1 + 1 + 1)*(4 - 5 + 0) + 0 - 2 + 0 - 25 + 11 - 6)*(-2*a + a + 0*a).\nAnswer: -46*a**5 + 667*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -171 * 434\nAnswer: -74214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (1 - -6 - -26)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/7, 1.3, 5, 3, -6, -2\/5, -4 in descending order.\nAnswer: 5, 3, 1.3, -2\/5, -9\/7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i. Let r(t) = t. Let m(h) = -p(h) - 6*r(h). What is m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 962.\nAnswer: 1\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 22*h**2 - 11*h + 11. Let a(y) = y**2 + y - 1. Give -11*a(o) - f(o).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 73032?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 525373*t**4 - 13*t**2 + 4*t + 752?\nAnswer: 12608952*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + ((-86)\/(-10) - (-28)\/70). Solve 0 = d*x + 30 - 38 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.59, 8 in decreasing order.\nAnswer: 8, -0.5, -0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0, 15, 41, 5.\nAnswer: -3, -2, 0, 5, 15, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 548 divided by -4\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/174)\/((2\/16)\/(10\/20))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 24 + 34 + 2*b**4 - 3*b**3 as w + f*b**2 + l*b**4 + n*b**3 + c*b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50058241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(0 + -2 + sqrt(1053))**2*2 + 3).\nAnswer: -52865 + 1800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 209\/(-76) + (-1)\/4. Sort -3, j, 7, 4 in descending order.\nAnswer: 7, 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334874 greater than 11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c. Let n(p) = -6*p**2 - 5*p + 3. Let z(h) = -5*b(h) + n(h). Let q be z(-10). Suppose 186 = q*d - 15. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 9*s - 5*s. Let g be (170\/s)\/((-2)\/3). Solve -2*r + 5 = 5*h - 7*r, 11 = 3*h - g*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 3, b: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 51260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*j + 4186 = 1282. Suppose -3*w - 3*v + 3 = 0, 4*w - w - 2*v + 12 = 0. Sort 5, w, j, -1 in increasing order.\nAnswer: j, w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-1 + 2 - 0). Let a(x) = 2*x**2 - 41 - 20 + 59. Determine a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from nmdex?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from {c: 3, z: 6, j: 4, v: 6}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -905\/7. Let s(r) = 2*r - 3. Let g be s(2). Is l at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 320*g**2 + 229*g - 5. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 46978232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1940, 1933, 1930, 1937, 1960, 2005?\n\"Answer: p**3 - 4*p**2 - 2*p + 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57942, -57941, -57940, -57939, -57938, -57937?\nAnswer: -57936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -201 * -0.20303\nAnswer: 40.80903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 23*a**3 - 394*a**2 + 13*a + 198. Calculate m(17).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*q - 3, 2*u + 0*u = 5*q - 23. Suppose q*r = 4*t - 8, -2*r + 8 = 4*t - 7*r. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 18*g**2 - 3*g - 5. Let c be ((-8)\/16)\/(2\/(-8)) + 0. Let b(i) = i**3 - 9*i**2 - i - 2. Determine c*x(a) - 5*b(a).\nAnswer: -a**3 + 9*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**4\/9 + 8*x**3\/9 + 16*x**2\/9 - 32*x\/9 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1043333?\nAnswer: 1043333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 27. Let f be (-66)\/(-14) - (-8)\/28. Let m = 1.7 + -0.7. What is the nearest to m in c, f, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2526*y - 2542*y + 12843344. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17317972 divided by -5.\nAnswer: 17317972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*r - 75 = 13*m + 424*r, 32*r - 921 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 13*j**2 + 24*j + 14. Give s(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 + -147. Let f(r) = 12095*r**3 - 3*r + 2. Is f(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 2*x + x + (x + 4*x - 4*x)*(0 - 1 + 3) - 2 + 2*x + 3 - 3 to the form y + r*x and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -343, -339, -335, -331, -327?\n\"Answer: 4*i - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)*n)**(-38)*(n**(-1))**(3\/8) assuming n is positive.\nAnswer: n**(-3371\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 13) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15455996 divided by -6.\nAnswer: 7727998\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 2. Let v be b(-6). Let f(n) = 3*n**2 - 13*n - 4. Let m(j) = 6*j - 8*j**2 - 2*j + 1 + 7*j**2. Let h(i) = v*f(i) + 14*m(i). Factor h(u).\nAnswer: -2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 1. Suppose 0 = 2*j - 33 + 35. Let x(k) = 6*k + 3. Give j*x(w) - 4*d(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 9)*(0*w - 2*w + w)*(-2*w - w - w)*(18 - 10 - 5) in the form m + c*w**2 + y*w and give c.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/11 + 5092*s\/11 - 3241058\/11 = 0 for s.\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llwlwwwlwww?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*k**2 + 30*k - 30*k.\nAnswer: -109*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1805747*r - 1185*r**2 + 1805747*r to the form o*r**2 + i*r + b and give o.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-14) - 102\/(-4). Let q be o\/6 + (-2)\/6. Suppose -124 = -7*z + 128. What is the highest common divisor of z and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6225, 5962, 5707, 5460, 5221?\nAnswer: 4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3490039472?\nAnswer: 2, 19, 653, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*d - 157*d - 28*d + (0 - 3 + 2)*(-4 + 5 - 3)*(-d + 2*d - 3*d).\nAnswer: -209*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 2*y)*(-233 + 1442 + 592) + (-4 + 3 + 3)*(5*y - 2*y - 2*y).\nAnswer: 1803*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c + 15. Let l(k) = 3 + k - c + 17*k**3 + 2*k - 12*k**3. What are the prime factors of l(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1285513724 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 58*h - 3. Let s(x) = 59*x - 5. Determine 3*b(v) - 2*s(v).\nAnswer: 56*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*s + 140 - 119*s - 297 + 157.\nAnswer: -613*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 - 337 = 2*v - 3*p, -4*p = -v - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24225 is divided by 197?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 + d**2 - 17*d + 5. Let b be u(2). Solve 38*t = b*t - 69 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332\/5 >= 466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/4 + 2*f**3\/3 + 5*f**2\/2 - 4*f - 17. Give k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20 (b) 4 (c) 0.4 (d) -4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllaeaaalallleaaal. Give prob of picking 1 e and 2 a.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/12 - -3) + 350\/(-366). Let w = -7761\/610 - t. Calculate the common denominator of w and 47\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(180) + sqrt(180) + (sqrt(180) + -1 + -1 - sqrt(180)) - ((sqrt(180) + -1 - sqrt(180)) + 1))*-3 + 3)**2*1.\nAnswer: -360*sqrt(5) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 1. Let l = 41 - 37. Suppose -l = -2*u, -z + 1 + 10 = 5*u. Let b(x) = 3*x**2 - 3*x - 6. Let o(v) = z*b(v) - 6*f(v). Factor o(p).\nAnswer: -3*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26654902.\nAnswer: 2, 59, 225889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -648?\nAnswer: -83\/648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*q, -3*q - 144 = -5*x - 2*q. What is the lowest common multiple of 8 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine quarters of a tonne?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/589 - -2346\/2945. Sort f, 8, 0.1, 5 in increasing order.\nAnswer: 0.1, f, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 12, a: 3, b: 2, e: 1}. Give prob of sequence zrz.\nAnswer: 11\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + m**2 + 37. Let a be j(0). Suppose -r + a = -21. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 5*y + 1. Let j(x) = -x**2 + 19*x - 17. Let o be j(18). Suppose -o = -2*h - 11. What is the tens digit of c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23181, 23160, 23139, 23118, 23097, 23076?\n\"Answer: -21*d + 23202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 17 - 95*z - 13)*(-8*z**4 + 9*z**4 + z**4).\nAnswer: -190*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-5)\/2 - -2). Let v be (-1)\/2*d*2. Sort -4, v, 1 in descending order.\nAnswer: v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -62, -129, -214, -311, -414, -517, -614?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*c + 76 = 0, -4*c = -2*u - 2*c + 42. Let d = -176 - -187. Calculate the remainder when u is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d = 235*d + 1152 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 p when four letters picked without replacement from ppaaakapkpapa.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.9788 * -0.3\nAnswer: -0.29364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1713.2 + 1713.4. What is the closest to 2\/3 in 0.26, i, -0.3, -1.5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 54 = 50. Solve -3*x - 4*i = m, -4*i = -4*x - 0*x + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84370.26l to millilitres.\nAnswer: 84370260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -773611, -1547238, -2320865, -3094492, -3868119?\n\"Answer: -773627*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (9 + -8 + -15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, 4, -5, -1\/3, -5\/26, 1\/10, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4\/5 + 4*x**3 + 452*x**2\/5 - 1332*x\/5 - 2592 = 0.\nAnswer: -8, -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, -7, -71, -175, -319?\n\"Answer: -20*u**2 + 36*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-9)*(-48)\/(-56). Solve -b = -v - 3, -p*b + 2*b = -5*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17999, -18057, -18129, -18221, -18339, -18489?\nAnswer: -18677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 13 = -3*f, -3*f - k = 2*k - 21. Let u = 4 - f. What is the smallest common multiple of 24 and u\/(-2) + (-187)\/(-11)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1.129.\nAnswer: 1.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -25. Suppose 13*j = 92 + b. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - t**2 + 2*t**4 + (3*t + t - 3*t)*(-4*t**3 + 0*t**3 + 3*t**3) + (27 - 6*t**3 - 27)*(3*t + 4*t - 6*t) - 145*t**4 + 62*t**4 + 163*t**4.\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deeueoeeeeyoezd. What is prob of sequence zoy?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29)\/3 + -1 + (-30)\/(-45). Let m = -101 - u. Is -92 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -33. What is v rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3240) - 2*sqrt(3240)) + sqrt(3240) + (1*sqrt(120)\/sqrt(3) - sqrt(40)))\/(4*sqrt(16)\/(sqrt(128) + sqrt(128)*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135535355.\nAnswer: 5, 43, 311, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 5. Let a = -5 + 0. Let l(w) = -w**3 + 6*w**2 + 12*w - 17. Let v be l(7). Suppose 2*n - v + 20 = 0. Let c(b) = 1. Calculate a*c(t) + n*y(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let f(b) = 4*b**2. What is the units digit of f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) -0.4 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22157, 28677, 35197, 41717, 48237, 54757?\n\"Answer: 6520*k + 15637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 - -6) + (-22)\/2. Let i be 1\/(-2) + 50\/(-4). Let c = i - v. Solve 2*s - c*h + 18 = 0, s + 5*h = -0*s + 26 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78157890.\nAnswer: 2, 3, 5, 41, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - h + 1176 + 574, q - 2*h = 350. Calculate the remainder when (-1)\/7 - q\/(-49) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-285)\/9)\/((-1)\/(-3)). Let n = h - -479\/5. Sort n, 1\/4, 0.\nAnswer: 0, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 - 1032*r**2 - 32985*r - 252450 = 0. What is r?\nAnswer: -15, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 1, e: 6, a: 1, f: 2, p: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from qqqhqqqqqhqqhq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764 divided by -10110?\nAnswer: -2882\/5055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 7*r + 2. Let f = 1 + -2. Let b = 1 + f. Does r = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2012, -2013, -2016, -2021, -2028, -2037, -2048?\n\"Answer: -p**2 + 2*p - 2013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 + 63*s**4 + 141*s**3 - 1923*s**2 + 3744*s - 2028 = 0 for s.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/162 and -29\/108.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-531)\/472)\/(3\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*d + 7. Suppose -5*c - 21 = -u, -c - c - 4*u = 26. What is the second biggest value in c, -2\/11, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -273, -552, -929, -1404, -1977?\nAnswer: -2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 601769, 1202669, 1803567, 2404463, 3005357?\n\"Answer: -r**2 + 600903*r + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 16. Let m(s) be the third derivative of -s**6\/120 + 17*s**5\/60 + 5*s**4\/3 - 14*s**3\/3 + 12*s**2. Let q be m(19). Does 18 divide n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d9c (base 14) to base 6\nAnswer: -20234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-50)\/20)\/((-245)\/(-28)). Which is the nearest to 0.1? (a) 0.5 (b) r (c) -6 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 681\/10. Let b(h) = h**2 + 7*h. Let o be b(-7). Is o < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 - 540*u**4 + 4560*u**3 - 9280*u**2.\nAnswer: -5*u**2*(u - 4)**2*(u + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - b6a4?\nAnswer: -b693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-6) - 2\/(-6). Solve r = -v + 5*u - 3, -4*u = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 0.5, -1\/4, -322665\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.24 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 28 = 102. Let l be (-2)\/6 + 3\/9. Suppose -k = -s - l*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*g - 187614 = -103*g. Let c = g - -401882\/15. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5\/12 (c) 5 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - 44\/(-105). Which is the nearest to 1\/4? (a) 5 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a - 3*a - 5*w, 3*a + 2*w + 4 = 0. Sort -2, a, 39 in ascending order.\nAnswer: -2, a, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekpflhh. Give prob of sequence lpfh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 32, 81, 160, 275, 432?\n\"Answer: v**3 + 6*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29040 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1675 - -1675.209. What is the nearest to 1 in -4, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -8059599?\nAnswer: -8059598.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(259\/(-1813))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - j)*(5*j - 4*j + j) + 3*j**2 - 6*j**2 + 4*j**2 - 3*j + 1 - j**2 + 2 - 4.\nAnswer: 2*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + -8) - (5 - 11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-360)\/(-230) + 8 + 114\/(-12)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/3 - (-117)\/27. Suppose -3*n - 3*m + 14 = -4*m, n - r*m = 18. Solve 0 = -0*w + n*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1149.5 + -881. Let i = l + -420. Round i to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -33, 5, 122, 17, -3 in decreasing order.\nAnswer: 122, 17, 5, 2, -3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4576*z - 1405*z + 137563 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 23*z**2 - 81*z**2 + z - z. Let p(i) = -4*i**2 - 5*i - 5. Let c(y) = -y**2 - y - 1. Let b(q) = 10*c(q) - 2*p(q). What is a(b(r))?\nAnswer: -232*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -421 + 847\/2. What is the fourth smallest value in 0, 5, w, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869813*m - 24287 = 869650*m for m.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 10 - -7 - 0) + 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2658495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -127018 > -127030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485674 is divided by 1485672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 - -2750543130756.\nAnswer: 2750543130755.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8762859 not equal to -8762860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150878063 to the nearest integer?\nAnswer: 12283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.24 in 0.5, 2635, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2941042 is divided by 744.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from {d: 8, w: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1794, -11, -3, -4, -75 in descending order.\nAnswer: 1794, -3, -4, -11, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 2*a**2 + a. Let u be i(2). Solve 0*r = -r + y - 2, -r = -3*y - u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43988998 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l - 1. Let d be j(0). Is d*26*1\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/12*72\/189?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1602575 and 5200.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1681, 3359, 5033, 6703?\n\"Answer: -2*g**2 + 1684*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiijn. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(-1\/8))**(-19) assuming g is positive.\nAnswer: g**(-19\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 10*b - 5. Suppose 11*t + 49 = 5. Sort b, t, -3 in decreasing order.\nAnswer: b, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26490000 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 5*m + 7. Suppose -3*a = 2*o + 22, -a - 2*o + 3*o = 9. Let i(h) = h**3 + 9*h**2 + 8*h + 5. Let g be i(a). Determine j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21152 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 95*v**6\/12 + v**4\/12 + v**3\/3 + 4*v**2. Let n be c(-1). What is the tens digit of ((-6)\/10)\/(10\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73342 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 - 3*u - 4. Calculate n(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/180)\/(2\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose -2*r = y*r - 1212. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33*((-4 - -1) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903521.07 rounded to the nearest one hundred?\nAnswer: 1903500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 4*m**2 + 5*m + 6. Let b be (-1)\/((-1)\/2) - (119 - 122). Determine r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + 1295\/14 - (-1)\/2. Let n(c) = -6*c + 5. Let v be n(5). Let h = l + v. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m + 259 + 68 - 123. Let q be z(23). Let p(y) = y**3 + y**2. Calculate p(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 8. Let h(s) = 10*s - 23. Determine 4*h(n) - 14*o(n).\nAnswer: -2*n + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 35. Give n(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363138?\nAnswer: 2, 11, 433, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11163 is divided by 2779?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 10*w - 111. Solve -w = c - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -308, -498, -674, -836, -984, -1118, -1238?\n\"Answer: 7*b**2 - 211*b - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78991*k**3 - 18*k**2 - 6364 wrt k.\nAnswer: -473946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**3 + 4*n**2 + 3*n + 16. What is f(4)?\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19067 by 27.\nAnswer: -19067\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 115482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 490413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102188573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from sssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/13050 and 109\/1900.\nAnswer: 495900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4463*b + 13381. Calculate u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4206.7? (a) -4\/3 (b) 2 (c) 44 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28010*n + 55636*n - 27604*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 22. Let m be x(0). Suppose 0 = -3*l - 5*v + 89, -5*v - 1 - 25 = -2*l. Let c = l - 21. Calculate the greatest common divisor of c and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21774, 21418, 21062, 20706?\n\"Answer: -356*p + 22130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013 + 321332001?\nAnswer: 321333020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**3 + 7*a - 3461 + 12*a**2 + 3465 + 5*a**2 - 23*a**2. Let g(b) = -9*b**3 + 7*b**2 - 8*b - 4. Calculate -6*g(z) - 7*n(z).\nAnswer: -2*z**3 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -16. Suppose -3*c = 3*j - 45, 2*j + 5*c + 18 - 51 = n. Let m(d) = 49*d - 3. Is m(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -8*v + 42. What is the remainder when v is divided by 2\/6 - (-78)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1123, 2232, 3331, 4414, 5475, 6508, 7507?\n\"Answer: -p**3 + p**2 + 1113*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112052 is divided by 22376.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3740, 3744, 3750, 3758, 3768?\nAnswer: 3780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6926967996.\nAnswer: 2, 3, 13, 44403641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - 5\/(-2). Let j = 39 - m. Is (j\/(2\/2))\/1 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 3*p**2 - p + 26. Let i be g(-5). Let z(d) = -2*d**2 - 41*d - 57. Let f be z(i). Sort 5, 4, f in descending order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 10*u - 5. Let z(y) = 3*y**2 + 12*y - 6. Let a(m) = 6*k(m) - 5*z(m). Let l(n) = 15*n**2. Determine l(a(c)).\nAnswer: 135*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:22 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12747513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose n - 42 = -5*v. What is the remainder when 14 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 458.\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -711 + 10.28713?\nAnswer: -700.71287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -149.5 * -11672\nAnswer: 1744964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 at most as big as -364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76805310 is divided by 82.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t - 24 + 85 - 62 + 4*t. Let g(q) = 195*q - 1. What is g(o(z))?\nAnswer: -390*z - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28, 245, 692, 1441, 2564, 4133?\n\"Answer: 12*b**3 + 43*b**2 + 4*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 8*i - 1. Let b be g(8). Let p be b\/((-2)\/(-6)) + 0. What is the units digit of (-12)\/p + 4 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from bggbgfgffggfggbgfggp?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v + 1256 = 4*s, 0 = -s - 4*v + 314. List the prime factors of s.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52076, 104121, 156166?\nAnswer: 208211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 3\/7, -32, -4, 4\/3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -179\/5. Let d = 177.9 + -178. What is the third biggest value in 0.5, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rixr when four letters picked without replacement from {i: 7, r: 2, x: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -25*j - 226 - 206 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40770 is divided by 301.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from mwmvmmvmvd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1340, -3705, -7096, -11519, -16980, -23485?\n\"Answer: -u**3 - 507*u**2 - 837*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3386, -3385, -3382, -3377, -3370, -3361?\nAnswer: -3350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6604 and -11\/46228.\nAnswer: 46228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -98, -3, 4, 3 in increasing order.\nAnswer: -98, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 25*a + 86. Let m be f(-21). Suppose 0 = -4*j - 20, 3*c - 460 = m*j + 90. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -35969*l + 71942*l - 2 + 2 - 35971*l. Let x(g) = -17182*g. Give x(y(j)).\nAnswer: -34364*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30183 - -30402. Solve 200*z - p*z + 114 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8) - (-62)\/(-4). Does 9 divide (0 - (n + -2))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 63548*z. Let f(t) = t**2 - 46. Give f(c(d)).\nAnswer: 4038348304*d**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 6023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 45 - 113)*(-1 + 0*z + 3 - 2*z) + 3*z - 8*z + 2*z.\nAnswer: 117*z - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 2*m**5\/5 + m**4 - 4*m**3\/3 - 3*m**2 - 9. Let h(f) = f**4 + 3*f**3 - 4*f**2 - 6*f. Let o(r) = -2*h(r) + 3*w(r). Factor o(n).\nAnswer: 2*n*(n - 1)*(n + 1)*(2*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2160469.\nAnswer: 1\/2160469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33295 is divided by 114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/21? (a) 29\/8 (b) 0.7 (c) -160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 1 - 0)\/1. Let r be (4\/(-5))\/((-91)\/(-35) - 3). Let z(j) = 18 - j**r - 7*j + 23 - 45. What is z(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3, k: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2965, -5811, -8537, -11143, -13629?\nAnswer: -15995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-40)*(780\/36)\/13.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3789 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/5, 1.2, 2.1, 1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5080 or 0.082?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + o = 15*o - 15*o, -32*o + 29*o - 2 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 1\/2, 0.3, -1\/3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 72*p + 470*p + 58350 = 18968 for p.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3401246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*u*y**3 - 8880*u*y**2 - 3*u + 111*y**3 wrt y.\nAnswer: -336*u + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 10838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:45 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45375 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79311*c**3 - c**2 - 2*c - 94677.\nAnswer: -237933*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/5076 and -47\/10.\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 233550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 791*1713\nAnswer: 1354983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 595332.5 weeks?\nAnswer: 100015860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2. Let d(f) = -15*f. Let k(m) = 31*m. Let t be (2 + -3)\/((-1)\/(-5)). Let g(y) = t*d(y) - 2*k(y). What is u(g(l))?\nAnswer: -676*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1365643 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -63. Sort -2, -4, 2, y in ascending order.\nAnswer: -4, -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4\/4 + 3415*d**3\/4 + 20365*d**2\/4 + 37265*d\/4 + 10155\/2 = 0 for d.\nAnswer: -677, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**4\/12 - 38*u**3\/3 - 2*u**2 - 11*u. Let n be d(22). Let z(m) = m + 40. Let q be z(n). Solve q = -5*p + p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45771.1l?\nAnswer: 45771100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 114*o + 868. What is z(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = -4*g, -2*h + 11 = 3*g - 6. Suppose 4*o - 4 = 4*p - 0*p, -3*o - p = h. What are the prime factors of (2380\/(-21) - 2)\/(2\/o)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 - 4941*d**2 + 4941*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - z**4 + 2*z**3 + (-7*z + 4*z + z)*(-3*z + 6*z + 2*z**3 - z).\nAnswer: -5*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o. Calculate the remainder when r(22) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(99) + sqrt(99) + -2*sqrt(99) + sqrt(99) + 3*(sqrt(99) + -1) + sqrt(99))**2.\nAnswer: -210*sqrt(11) + 2524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + 0.08. Which is the smallest value? (a) 6\/7 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91086 is divided by 18145?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191*l*m**2*p - 375*l*m**2 - 2*l*m*p**2 + 2*l*p**2 wrt p.\nAnswer: 191*l*m**2 - 4*l*m*p + 4*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 11, d: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*q + 4649 = 2*s, -2*q = -10. Suppose 4*k - s = k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**3\/15 - 27*c**2\/5 + 112*c\/5 + 722. Let v(k) = 0. What is k?\nAnswer: -56, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 2*d - 2, 0 = 3*p - d - 13. Suppose -2*y = b + p*y + 7, 0 = -3*b - 2*y - 73. Let u = 38 + b. What is the remainder when 32 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76053 plus -117?\nAnswer: -76170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 41 = 1. Suppose 5*n + 3*x + 9 = 0, -10*n - 5*x = -15*n + 15. Solve n = -v*y + 10 + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1285, 1, -1\/13, 285\/13, 5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 minus -0.56768574791?\nAnswer: -63.43231425209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334460606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (30337 - (-2)\/(-1)). Let r = 43333 - l. Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8477 is divided by 527.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2195 - -32843\/15. What is the common denominator of -17\/27 and w?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2971 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372027597 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(136))\/(sqrt(512)*-1).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - a - 1. Let z(p) = -4*p**2 + 3*p + 2. Let m = -20 + 15. Give m*r(n) - 2*z(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -3\/5, 43\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 11*a + 8 = b, 5*a + 2*b = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587302.\nAnswer: 2, 293651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:52 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/(t\/(t**(-29)\/t))*t)))**(-37) assuming t is positive.\nAnswer: t**1036","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 4*n - 47\/12*n**4 + 41\/6*n**3 + 0 + 14*n**2. Differentiate y(v) wrt v.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/1431 or 23255?\nAnswer: 23255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*-1*20\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + 14*l - 37. What is p(4)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5918948 and 3014?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-18))\/(9\/(-18)). Let n = -3.1 + 2.9. What is the nearest to n in -0.5, w, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*o**2 - 22*o**3 + 144*o**3 + 66*o**3 + 72*o**2 wrt o?\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*i = -252*i - 1144. What is the remainder when 1455 is divided by i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1180, 1728, 2650, 3946, 5616, 7660?\n\"Answer: 187*g**2 - 13*g + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -638\/1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 41\/2 of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1323, 2639, 3955, 5271, 6587?\nAnswer: 7903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d**2 + 6*d - 3. Let q(m) = 13*m**2 - 13*m + 1. Let x(t) = 13*t**2 - 17*t. Let p(l) = -3*q(l) + 2*x(l). Calculate 5*k(o) - 6*p(o).\nAnswer: 8*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + 6*h + (h + 1 - 1)*(0 + 4 - 1))*(4 - 3 - 4)*(-6*h**3 - 3*h**3 - 8*h**3).\nAnswer: 255*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 8*n - 19)*(-733*n - 21*n**3 - 725*n + 1481*n).\nAnswer: -168*n**4 + 184*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i + 1. Let j(y) = -y**2 - 2*y - 1. Let d(x) = 3*g(x) + 2*j(x). Let b be (-6)\/(-27) + (-50)\/(-18). Determine d(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - 17278*u**3 + 10*u**2 + 2*u**2.\nAnswer: -17278*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*k - 29, 0*i - i = -k + 1. Suppose 0 = -k*h + 4*h - 2. What is the remainder when 1\/h - (-952)\/16 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/39*(-399)\/95?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6355775 is divided by 50442?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*z - 16 = 0, -2*z = -0*r + r + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from {w: 8, k: 9, a: 2}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -10.11?\nAnswer: 9.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 81. What is the second derivative of -13*p**4 + 4*p**4 - 27*p + 15*p - 25 + 2*p**3 + q*p wrt p?\nAnswer: -108*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11931 is divided by 1987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.247 (b) -1204 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Sort 1, 2, o in decreasing order.\nAnswer: 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56250540 (base 8) to base 15\nAnswer: -10ed7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -2\/21*j**3 + 0 - 3\/70*j**5 + 0*j - 3*j**2 + 1\/84*j**6 - 1\/735*j**7 + 1\/12*j**4. Find b, given that s(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 582, 1540, 3136, 5370, 8242, 11752, 15900?\nAnswer: 20686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15*r. Let h(d) = -3*d + 14. Give g(h(f)).\nAnswer: -45*f + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 22*c + 4. Let m be q(8). Suppose 24*v - m = 2268. What is the remainder when v is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-424296)\/84858 - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 1005189313.\nAnswer: 1005189312.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3584) - -1*sqrt(3584)) + sqrt(56))\/(2*sqrt(16)\/sqrt(2) - sqrt(8)) + -4 + sqrt(7) + (sqrt(252)*2)**2 + 4 + sqrt(112) + 3.\nAnswer: 22*sqrt(7) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/(-1350)*-1 - 64\/(-1600) - 670\/12?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/11)*k**0*(k*k**(-19)*k)\/k**(-3) assuming k is positive.\nAnswer: k**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1 - 33bac1?\nAnswer: -33bb92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59710, -59701, -59678, -59635, -59566?\n\"Answer: n**3 + n**2 - n - 59711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**5 + y**5 - 4*y**5 + (-3*y**2 + 6*y**2 - y**2)*(-2*y**3 - 6*y**3 + 2*y**3).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -505, -524, -561, -622, -713, -840?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010926164 rounded to seven dps?\nAnswer: 0.0001093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-24 + (-9 + 9 - -8)) - -41) + 2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63 - 497*s**3 + 6*s**4 + 497*s**3 with respect to s.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884240 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 426929514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*y*z**2 - 45*a*y + 26*a*z**3 + 14*y*z**3 + 36*z**2 - 1 wrt z?\nAnswer: 156*a + 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -18*b + 37. Let v be y(2). Let g(l) = -8*l**2 - 1. Calculate g(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/5, 3, -2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -71*w + 52*w. Let j be w + -9 + 1 + -7. Let c(l) = -1. Let a(r) = -1. Let k(q) = 6*a(q) - 2*c(q). Let b(s) = s**2 + 11. Give j*k(n) - 4*b(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*k - 316, -k + 6*w + 163 = 7*w. Let y = k - 8. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, b: 1}. What is prob of sequence zb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -2*n - 3*s + 48, -67921*n + 3*s - 18 = -67922*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 - -4. Let p = i + -0.4. Which is the biggest value? (a) -4 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-45) + (-16)\/(-9). Let x be l\/(-7) + 18\/63. Let f(w) = 44*w + 3432. Let n be f(-78). Solve -g + 4 + x = n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p - 19*p + 6*p**2)*(1 - 1 - 3).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6639 + -6639. Let w(t) be the third derivative of q*t + 0 - 1\/24*t**4 + t**2 + 1\/6*t**3. Let m(d) = -4*d + 3. What is -2*m(h) + 7*w(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 192*u + 1138. What is i(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*-2*sqrt(77) - ((-2*sqrt(77) + sqrt(77) - sqrt(77))*-5 - sqrt(77)))\/(-3*sqrt(88)\/sqrt(8)*-4).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*x = -18*x + 65*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 32. Suppose 158391014 = -r*w - 85608986. Round w to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 2*t + 3*t**2 + 1 + t**2 - t. Let f be q(-1). Let p = f - 3. Calculate the remainder when 5 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(-1*sqrt(6))\/sqrt(2) + (sqrt(12) + sqrt(12) + 5 + sqrt(108) + sqrt(12))*1)**2.\nAnswer: 14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56976?\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160834 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.45 - 12.15. What is the smallest value in 0.06, -0.01, d, 0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2 = -2*j + 2, -2*j = 2*z - 4. Suppose 2*u = -42 - 2. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-9)\/3 + 209\/(-57).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*u - 79*u + 167 - 24 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*14\/819)\/((-4)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2 + 4. Suppose -2*n - 4*y = 12, 4*n + s*y + 3*y + 9 = 0. Suppose 0*u + 40 = n*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*s + 26 + 18, 3*r - 5*s = 33. Which is greater: 130\/11 or r?\nAnswer: 130\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -232 + 237. Suppose h*l - 1956 = -7*a + 6*a, 3837 = 2*a - 5*l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -0.5, -50.38102, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 5*h + 3. Let y be t(2). Let f(u) = 2*u**3 + y*u**2 - u**2 - 23 + 20 - 3*u - u**2. Is f(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68 - -36) + 50 + -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25937, 26142, 26475, 26930, 27501?\n\"Answer: -a**3 + 70*a**2 + 2*a + 25866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017134 rounded to 7 dps?\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**21\/(m*m**(2\/13)\/m) assuming m is positive.\nAnswer: m**(271\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 9106974.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -2 - (67350\/(-25) + 16\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405 (base 16) in base 4?\nAnswer: -1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -742\/6553 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 68, 99, 130?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2203 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 174501*p.\nAnswer: 174501*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 9. Let u = -7 - o. Suppose -5*d + 32 = 4*z, 0 = -4*d - u*z + z + 30. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28335673 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 253*s**3 + 7*s**2 + 42*s - 92. Is x(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/963 and (0 + 570\/63)*(8 - 1146\/144).\nAnswer: 26964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 10 - (-10 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*k - 13*k - 21*k**2 to h*k + s*k**2 + g and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 75*w - 36. Let m be s(38). Let f(d) be the second derivative of 0 + 0*d**3 + 1\/2*d**m - 1\/48*d**4 - 3*d. Factor f(z).\nAnswer: -(z - 2)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/24 + 2023\/68 is divided by (-174)\/(-10) + 2\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 7*p - 10. Let s(z) = -z - 2. Let y be s(-7). Let g be n(y). Let o = 1 + -4. Is g bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 4*m + 1 - 1 + 12*m.\nAnswer: -5*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*w + 98 - 138 + 30 + 3*w to the form n + m*w and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276857252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 681.99088 - 682. Round f to 4 decimal places.\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*p - 1. Let r = -2 + p. Sort 0, r, 5.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4.4 (b) 1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77 - -75)\/(4\/30).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1538*h - 126 = -1520*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -20, -7*w + 9*w = 3*g + 70. Let q = w - 34. Calculate the highest common factor of q and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*m**4 - 4588006*m**3 + 2*m**2 + 1294451716?\nAnswer: -60*m**3 - 13764018*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {r: 2, u: 1, c: 1, z: 4, f: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 16 + -5 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -562 - -3938\/7. Which is smaller: r or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741, 1532, 2361, 3228, 4133, 5076, 6057?\nAnswer: 7076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5647 - 338807\/60. Find the common denominator of 169\/(230685\/12894) + 4\/26 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f = 5*x - 35*f - 23, -2*x + 26 = -3*f. Solve x*v + 33 = 26 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3106*s**3 - 2*s**2 + 2*s - 10. Let p be l(-5). Suppose -r - r + p = -5*d, 2*d = 8. What is r rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v\/((v*v*v\/v**(-3))\/v*v)))\/v)\/v)\/v)**(-12\/13)*v*v**5*v*v\/(((v*v\/v**21)\/v)\/v))**42 assuming v is positive.\nAnswer: v**(14322\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (48 + -36 - (5 - -2)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 12 = -3*d, -4*d + 14 = 4*s - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 3*b - 8. Let t be r(4). Let m = t - 15. Suppose -3*n = -3*f + 36, -n = -m + 1. Calculate the greatest common divisor of 80 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2379*c = 2402*c + 368 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 3*c**3\/2 + 5*c**2\/2 - c - 517. Let h(t) = -27*t - 14. Give -6*h(i) - 17*r(i).\nAnswer: 9*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + 22. Let c(f) = f**2 + 6*f - 3. Let r be c(-5). Let t be (r\/12)\/(2\/a). Solve -b + t = -2*g - 0, 2*b = 2*g + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:17 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 2:15 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 3*j + 30 = 5*t, -2*j - 2 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 36*b - 31*b = 1, 4*b - 2 = 2*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 27, 34, -64, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:19 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17 and -25\/23828.\nAnswer: 23828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*g, -2*h = -g + 2*g. Suppose g*l = 22*l - 18524. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/55 and 121\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 75 = -9. Let q = y + -1. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6*h - 5)*(-3 + 2 + 2) + 4 - h - 5 + 0 to the form f*h + d and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-105)\/(-9100)*-220.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5730*b**2*x**6 - b**2*x**3 + 40*b**2*x**2 - b**2*x - b*x + 3*x**2 wrt x?\nAnswer: -687600*b**2*x**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 16) in base 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 41 = 3*w, 3*i - 32 = -2*w - i. Suppose 6*n + 24 = w*n. Let q be 2\/(-9) - 68\/18. Put 7, q, n in decreasing order.\nAnswer: 7, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vir when three letters picked without replacement from kikkviukkvvkkkrkkkr?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b**2 - 60*b**4 - b**2 - 6*b**2 + (1 - 1 + 2*b**4)*(5 - 1 - 2).\nAnswer: -56*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41717 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*i - 192. Let c be (126\/i)\/((-6)\/(-16)). Let f = -37 - -72. What is the highest common factor of f and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**3\/3 + 3*p**2 - 11*p + 4. Let b be h(-8). Suppose b*g + 21 - 51 = 0. What is the remainder when 16 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 35787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 160 = -5*p, 5*p + 49 = 4*i - 141. Let c = 70 - i. Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119050 and 50.\nAnswer: 119050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56185 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 11:42 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 414795 less than 0.585938311?\nAnswer: -414794.414061689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2. Let o be t(0). Let s = -1 + 2. Suppose -5*q = s - 6, -2*c + 3*q = 13. Sort c, -1, o.\nAnswer: c, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + -3.6. Let n = f + -1. Let g = -11\/52 - 1\/26. What is the nearest to g in -2, 2\/11, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 273*g - 2551. Let y(i) = -11*i - 2. Give j(y(u)).\nAnswer: -3003*u - 3097","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39 (b) -33665 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/3*50076\/(-6420)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-21 - -4) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1263 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-4 + -3 - 0) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*w - 2 + 650*w**3 - 640*w**3 + 1 + (w**2 + w**2 - 3*w**2)*(6*w + 3*w - 5*w).\nAnswer: 6*w**3 + 19*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22101225*m**2 - 3*m + 13338073?\nAnswer: 44202450*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from eepvewven?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -3263?\nAnswer: -3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 325 = -5*v, 141 = -2*v - m. Let x = 1196 + -1027. Let p = v + x. What are the prime factors of p?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 52, -2, -2\/11, 2\/5, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1 + 0 - -4). Which is the second biggest value? (a) y (b) 3\/7 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0*g + o = -2, -7*g - 5*o = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 458*i**3*j**2 - 20*i**3 + 16*i*j wrt j.\nAnswer: 916*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3240215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1918, -3835, -5752?\nAnswer: -7669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, 0, 1\/6, 1, -0.5, 0.5 in increasing order.\nAnswer: -0.5, 0, 1\/6, 0.5, 1, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2350229 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 31. Suppose 3*d + y - 9 = -2*y, 3*y = -2*d + 5. Suppose d*b + 0*b - 204 = -4*o, -5*b - 255 = -5*o. What is the highest common divisor of f and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34388, 0.1, 1 in descending order.\nAnswer: 34388, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 2*t - 6. Let q be i(-4). Let l be q\/(-10) - 2\/5. Find w, given that -l + 3*w - 2*w**3 + w**4 + w + 0*w**4 - 2*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3206 is divided by 1059?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1320, -2617, -4786, -7827, -11740?\n\"Answer: -436*h**2 + 11*h - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 4)*(4*x - 4*x + 2*x)*(0 + 19 + 5).\nAnswer: 432*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/5 + 195409*s\/10 - 48852\/5 = 0. Calculate s.\nAnswer: 1\/2, 97704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*c - 39*c - 5*y = 49*c - 17, 5 = -10*c + 5*y - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 428 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8931, -8933, -8945, -8973, -9023?\nAnswer: -9101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 13*k + 23*k)*(-97 + 97 + 588*k**2 + (-4 + 2 + 3)*(3*k - 3*k - 4*k**2)) in the form f + c*k**2 + u*k**3 + y*k and give u.\nAnswer: 5256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/7 - (-55)\/35.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/382044 and -77\/30810.\nAnswer: 1910220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/5, 1\/4, -3\/56, 0.067, 1 in decreasing order.\nAnswer: 1, 1\/4, 0.067, -3\/56, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -309.3110832 rounded to one decimal place?\nAnswer: -309.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-41 - -34) + 4604*1)*10\/2.\nAnswer: 5, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*g - 108, 5*g + 127 = -2*z + 356. Which is the closest to 1\/3? (a) -4 (b) g (c) 2\/7 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182\/3 - -63. Which is the third smallest value? (a) -4 (b) 2\/7 (c) y (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7818426 by -693.\nAnswer: -11282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7 - 3. Suppose i*t - 1 - 19 = 0. Suppose -t = -3*o + o. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 8*c - 15*c - 48 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:25 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1768 + 10*c + 3499 - 1731. Let d(p) = 4*p**2. What is d(n(k))?\nAnswer: 400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwww. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 0.52\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.7 - -3. Let v = -0.4 + y. What is v rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)*u**(1\/6))\/(u**(-19)\/(u*u\/(u\/(u*(u\/(u\/(u*u**(-6\/17)))*u*u)\/u))*u*u)) assuming u is positive.\nAnswer: u**(2123\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -1. Let g = -4.45 - -0.05. Let k = u - g. Sort -1, 3, k in increasing order.\nAnswer: -1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j. Solve v + v + 8 = j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39601910 rounded to the nearest one hundred thousand?\nAnswer: 39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -20.014?\nAnswer: 19.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*v - v + 211348, -4*y + v = -169078. Round y to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.6 (b) 3 (c) -2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*c - 131. Let y be 1\/5 + 1290\/c. Suppose 2*x - 4*j = -y + 90, -143 = -4*x + 5*j. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1226511 (base 8) to base 5\nAnswer: 41324043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 + (-13 + 6 - -6 - -7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34891, -69782, -104673, -139564, -174455?\n\"Answer: -34891*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - x**2 + x + 1. Let u(y) = -4*y**3 + 5*y**2 - 2*y + 13. Let d(m) = 3*h(m) - u(m). Let k be d(7). List the prime factors of (-15)\/2*k\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, l: 3, k: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*q**2 + 178*q**2 + 87*q**2 + 116*q**2 to v*q + k*q**2 + o and give k.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - 4. Factor 2*y**3 - 3*y**4 - q*y**3 + 6*y**2 - 3.\nAnswer: -3*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762577.\nAnswer: 762577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 4*h - 16. What are the prime factors of k(9)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-8 + 3)) + -1 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q - 13 + 0*q - 3*q. Suppose 41*f - 53*f = 52*f - 512. Calculate j(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 170*u + 21 - 7 - 1117*u as b*u + o and give b.\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s + 4*l - 10 = 0, 3*s = 2*l + 4. Suppose 5*f = 3*n - 13418, f - 4476 = -n + s*f. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3826856*t**2*u**2 - 450*t*u**2 + 264 wrt t.\nAnswer: -7653712*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m - 25 = 64*m, 4*m = -4*c + 663096. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 347, 4, 11643 in increasing order.\nAnswer: 4, 347, 11643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Suppose 21*p - 18*p = l. Let i(o) = -o - 26*o**2 + 28*o**2 + p*o. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2 + 2)*(-2*g**2 - g**2 + 2*g**2) - 4244*g**2 + 97*g**4 + 4244*g**2 - 2*g**3 + 2*g**3 - 3*g**4.\nAnswer: 93*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 562.51611 - -9.45979. Let r = f - 572. What is r rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*h**4 + 2*h - 156 wrt h?\nAnswer: 20*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:38 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/7)*c**(7\/5))\/(c**5*c\/((c**3*c*c)\/c)))\/((c\/((c\/(c*c**(1\/6)))\/c))\/c**(-2)*c\/c**(2\/25)*c**1) assuming c is positive.\nAnswer: c**(-6121\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 - 13. Let b be g(3). Solve -3*d + b = s - 6, -s + 5 = d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**5 + 2*b**3 - 42*b**2 - 1053*b.\nAnswer: -60*b**3 + 12*b - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.193 + -0.007. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + h + 11*h + 13*h + 13*h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15701 + 0.32844. Let f = 0.587 + -0.76. Let y = t + f. What is y rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/13572 and 2\/4959.\nAnswer: 257868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -65. Let r(v) = -3*v**2 + 5*v**2 - v**o. Calculate r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*t + 60362 = -284*t - 74*t - 17254 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5 + (-4 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*h - 16 = -0*i, 2*i + 4*h + 16 = 0. Which is smaller: 4\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -7*r**3\/6 - 3*r**2\/2 + 2*r. Is x(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.75 - -17.75. What is the second smallest value in 1\/12, k, -0.4, 1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 2*q + 3. Let v be u(0). Suppose 5*i + 2*p = -2*p - 18, -2*i - v*p = 3. Let x(t) = t**2 + 7*t - 5. Give x(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4661258*b**2 - 4661292*b**2 + 13983796*b**2 - 4661257*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1102520)\/1282)\/(-1 + -9)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -71 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*l = -612. Suppose -2*r + l = 2*y - 6*y, -2*r = 2*y + 144. Let k = -95 - y. Which is smaller: -19 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Solve 4 = 3*d + 4*o + 11, n*d + 5*o = -14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -3.79.\nAnswer: 4.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -439\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2325, 2369, 2485, 2709, 3077, 3625, 4389, 5405?\nAnswer: 6709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**4 + 15*z**3 - 16*z**2 - 2. Let r(x) = 81*x**4 - 240*x**3 + 255*x**2 + 33. Let o(c) = -2*r(c) - 33*v(c). Suppose o(u) = 0. What is u?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -17296.3?\nAnswer: 518.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 5. Calculate j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 518 - 482. Let t = z + -34. What is the fourth smallest value in t, -0.5, 12, -2\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 18511*d - 2 + 48338*d + 0.\nAnswer: 66849*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2042 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -23*g + 24. Suppose g*s - 8160 = -6*s. Suppose -s = 2*l - 8*l. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-45)\/(-27))\/(2\/(-36)). Let o be (2\/(-10))\/(9\/x). Which is the third biggest value? (a) o (b) -1\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 4*h**2 - 3*h - 4. Let x be v(3). Suppose -p + 215 = -6*p. Let t = x - p. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 5*u + 87 = 48, u - 11 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/(-30) - (-2)\/10. Suppose -2*r - 2 = 0, -r = o*z - 4*r - 3543. Suppose 0 = 5*u + 5*u - z. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 3, z: 1, f: 1, o: 1, i: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n + 314. Let i be t(-26). Let a be 7 + (-4*1)\/(-2). Suppose 5*r + a = -2*y, i*y + 3*r = -r - 4. What is the smallest common multiple of y and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*f - 1317, -7*f - 5 = -6*f. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by 26388.\nAnswer: 19\/8796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - 7*m**2 + 2*m - 4. Let y(q) = 3*q**3 - 7*q**2 + 2*q - 3. What is 5*o(g) - 6*y(g)?\nAnswer: -3*g**3 + 7*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 174 + 42 = 0. Let v be ((-888)\/100)\/(z\/40). Which is smaller: v or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3314 (base 6) to base 4\nAnswer: 23332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 1010 = 1110 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-240)\/75)\/(-8) + (-1)\/(15\/(-249)). Let q(l) = 7*l**2 + 3*l - 7. Let j be q(-5). Calculate the greatest common divisor of z and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 24. Factor 134*f + 4*f**3 + 0*f**3 - 2*f**2 - v*f**4 - 134*f.\nAnswer: -2*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 915 - 1095 + 280*u**2 - 281*u**2 as n*u**2 + g*u**3 + w + q*u and give w.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, p: 3}. Give prob of picking 1 p and 1 v.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1198132097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.73 + -8.9. Let o = 6.17 + i. Which is the closest to -27? (a) o (b) -0.5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 15*x - 2 + 2*x - 3*x. Let l be z(-1). Let p be 2\/7 + (-26)\/(-7). Solve -5*a - p*d - l = -4, 3*d - 22 = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003417 rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76738663.\nAnswer: 17, 19, 237581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = -10. Suppose 2*o = c + 7. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -756?\nAnswer: -75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e - 166?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 2*z**2 + z**2 + (4*z - z - 4*z)*(z + 5 - 5) + 0*z + 0*z - 2*z**2 + (z - 2*z - 5*z)*(4 - 1 - 2)*(-4*z + 4*z + z) + 48*z**2 + 5*z**2 - 25*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 + (-127 + 172369\/1358)\/((-3)\/344)\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9502, -38291, -86288, -153505, -239954, -345647?\nAnswer: -470596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(-4 - -1) - -31?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800655 and 21870?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(1960\/(-2030))*(3 + -9))\/(6\/4).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32221331 + -20323?\nAnswer: -32302320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*q - 147*q + 759. What are the prime factors of 2132\/11 + (-46)\/q?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43\/9? (a) 4 (b) 0.68 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = 10, 4*p + 63 = a. Suppose 6*r = -1 + a. What is the remainder when 13 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 28*h**2 - 110*h - 136.\nAnswer: 2*(h - 4)*(h + 1)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4\/7 + 12*n**3\/7 - 22*n**2\/7 + 12*n\/7 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 2*s**2 - 4. Let m be u(3). Let k = 5 - m. Which is the second smallest value? (a) -1\/10 (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2\/5 + 11976*b\/5 - 11417796\/5 = 0. What is b?\nAnswer: 1574, 2418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 9*d**2 - 2*d - 1. Let a be q(6). Suppose 4*n = -n + a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -44 - (-10 - (-50 - -40 - -15)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*n + 149*n + 130 = 0. Calculate the greatest common divisor of 850 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2172)\/18)\/(2\/(-3)). Let y = l - 32. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.702 + -0.702. Let u = -0.05 - 0. Which is the nearest to 2\/13? (a) -2\/3 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3 - 6*g + 7*g**2 - 3*g**2 + 2*g. Is 17 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 435, 433, 431?\n\"Answer: -2*h + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*-6)\/((1*sqrt(84) + sqrt(84))\/sqrt(7)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20176 - 20143. Let c(v) be the first derivative of -2\/7*v - 1\/7*v**3 - 5\/14*v**2 - f. Factor c(r).\nAnswer: -(r + 1)*(3*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 29*g + 21*g + 0*g**3 - 2*g**3 in the form z*g**3 + i + l*g**2 + b*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 12}. What is prob of sequence bz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 594393941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.6, -4, -2541, -5?\nAnswer: -2541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z - 4. Determine r(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/4 + 65*k\/4 + 61 = 0. What is k?\nAnswer: -61, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/(l*(l*l\/(l*l*l**(-4\/7)*l))\/l) assuming l is positive.\nAnswer: l**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -11 - (5 - 4)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 22*n - 3. Let b(m) = 38*m - 5. Let z(v) = 3*b(v) - 5*c(v). Let o(a) = -645*a**2. Give z(o(j)).\nAnswer: -2580*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utqwpsp. Give prob of sequence utq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 - 16699*a**2 - 1545038*a - 11292080 = 0. What is a?\nAnswer: -16606, -85, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 38. Let w be s(8). Solve 2*v - 5*f = 22, w = 21*v - 19*v - 3*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(sqrt(132) + -3*sqrt(132)*-1))\/((sqrt(1200) + 4*1*sqrt(1200) - sqrt(1200))*3).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 10*u + 13. Let r be i(-11). Find the first derivative of 5*x**2 + 6 - 2*x**2 + r*x**2 - 3*x**2 wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7424 is divided by 3707?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5544826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/4 + 3\/6. Suppose 3 = -a, -2*a - 6 = -0*j - 5*j. Factor r**3 - 6*r**4 - 2*r**2 + j*r**w - 12*r**3 - r - r**5 + 8 + 13*r.\nAnswer: -(r - 1)*(r + 1)*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 123. What is the remainder when g is divided by 64?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e06a - -329?\nAnswer: 1e393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {s: 2, n: 5, w: 1, c: 4, t: 3, r: 5}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 64?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 3. Let i = t + 30. Suppose 16*k = 2*k. Which is the nearest to i? (a) -2\/15 (b) k (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 15 = -a + 5*s, -3*a + 3*s = -9. Suppose a = -12*p + 8*p + 76. Let c = -38 + 45. Calculate the remainder when p is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (0 - 2) - -6. Suppose 0 = -n*j - 4, 75 = 5*z - j + 6*j. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 815083, -1 in decreasing order.\nAnswer: 815083, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12811? (a) 4 (b) 0.1 (c) -5 (d) 3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 m when four letters picked without replacement from hrrorhhmrhrrhrrrhrr.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2144, 8519, 19150, 34043, 53204?\nAnswer: 76639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose a*q + q = 25. Suppose 29 - q = 2*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -14. Let l = 37 - z. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*f - 145*f + 27 = 0. Let b(j) = 2*j**2 - 15*j + 32. Let h be b(f). What is the second smallest value in h, 3, 50?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 120. Let m = 8 - -36. Calculate the least common multiple of i(23) and m.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c3 - -6?\nAnswer: -6bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20241000 (base 5) to base 10.\nAnswer: 165125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141.97 - -143. Let i = 1 - d. Round i to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 267, 596, 1057, 1650, 2375?\nAnswer: 3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9478487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1466*k - 51. Let n(g) = -g - 17. Give -3*n(y) + x(y).\nAnswer: 1469*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153214, -153336, -153472, -153628, -153810, -154024, -154276?\nAnswer: -154572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1555\/2 - -778. Which is the third smallest value? (a) -0.29 (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1570 + 2455. Is 31 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:58 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159864742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3311868 by -37212.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 113889824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -367*d + 218*d + 189*d - 880 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 6. Let h be s(4). Let q be 60\/9 - h\/3. Suppose q*i = i - 1250000. Round i to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c*c*c**(-1\/17))\/c)*c*c*c\/(c\/(c\/(c\/(c*c**(5\/6))*c))))**(-19))**(-34\/3))**(27\/2) assuming c is positive.\nAnswer: c**(11001\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.4475 to zero decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 + 3*g + 4. Does 3 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 - 2155*x**4 - 7 + 2157*x**4 - 7 - x**3 to the form i*x**3 + z*x**4 + h*x**2 + u + c*x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8685 and -0.5.\nAnswer: 0.3685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 225544, 451089, 676628, 902161?\n\"Answer: -3*c**2 + 225554*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 125815*w - 251632. Give n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5940 + 5089. Is h less than -851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 893738.8 kilograms?\nAnswer: 893.7388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0. Let n = 96.6 + -95.6. Which is the nearest to n? (a) j (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.8563*-4.196\nAnswer: -74.9250348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -49, 20 in descending order.\nAnswer: 20, -49, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.096 - -0.09600419. What is u rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h + 29*h = -20. Let s(k) be the first derivative of 1\/3*k**3 + 3*k**2 - 2 + h*k. Give s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 2*s**2 - 9*s. Let n(t) = 4*t**3 + 7*t**2 + 28*t + 1. Give 7*j(k) + 2*n(k).\nAnswer: k**3 - 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 0 - (-13 - -17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54142*f**3 - 28639*f**2 wrt f?\nAnswer: 324852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 4*p - 1. Suppose 0 = x - 1 + 11. Let s be (-3)\/(1 + 12\/x). Suppose 2*f - 10 = 0, -g + 7 = 5*f - s. Give l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 12121?\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -27\/5*w**5 + 0*w + 0*w**4 - 10 + 0*w**3 + 17\/2*w**2. Find the second derivative of t(a) wrt a.\nAnswer: -324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 20 = 0. Suppose -7*z = -t*z. Suppose z = -5*s - 30 + 270. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3 (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2604 and 17\/600?\nAnswer: 130200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i + 0*i)*(2 - 1 + 1) + (40*i - 12*i + 19*i)*(-3 + 1 - 1).\nAnswer: -137*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*r = -11, -10 = 5*p - 4*r - 3. Solve 4*f = 9 - p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -59.2. What is the biggest value in f, -3\/7, -10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1415\/2513 + 3\/359. Let n = 3 - 3. Put -4\/9, 0.3, j, n in ascending order.\nAnswer: -4\/9, n, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 0) + -1045 + 1067 + (1 - -1) + -23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -74 - (11 - (17 - -1) - -3).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1240983 and 1644.\nAnswer: 1644.1240983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 2*v + 2. Let h be j(-2). Let u be (-4)\/(-8)*h - -4. Suppose 4*m - 81 = a, a - u*a - 10 = 0. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4440)\/(-2368))\/((-24)\/640)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21228 - -0.07228. Let h = 3 + -7. Is d >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128*-0.18324.\nAnswer: -23.45472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 - 16069.\nAnswer: -16067.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:21 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79\/6 + 53\/4. Which is the nearest to 0.1? (a) 4 (b) -0.5 (c) s (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 357635 * 225.\nAnswer: 80467875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -480317004 + -0.2\nAnswer: -480317004.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20877685 bigger than 271409900\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63089 - 129.032952.\nAnswer: -63218.032952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.1 times -2?\nAnswer: 194.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -49. Let m = q - -19.34. Let o = m + -0.339924. Round o to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*u + 170*u + 803*u = -259*u + 17664 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(1 + 1)*-1. Let h = 22 + q. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 287 + 143 = 5*l - 147, d - 4 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.9119 rounded to one decimal place?\nAnswer: -42.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 82. Let b be r(-34). Calculate the greatest common divisor of b and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g - 2*g + (0 + 2 - 3)*(0*g - 2*g - 4*g + (-2 + 0 + 3)*(-g + 4*g - 2*g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -80. Let r(q) = -2*q + 30. Let n be r(w). Let o be ((-4)\/2)\/((-6)\/15). What is the greatest common factor of n and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 0.03?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 24*q + 37. Calculate r(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.7 - 302.7. Let j = -258.5 - m. Let u = 695\/9 - 77. Which is the second biggest value? (a) u (b) j (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1242.054 + 1242. Let b = -60177 - -60177.054002. Let c = u + b. What is c rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 69*l**2 - 43*l - 86. Let m be t(-35). Suppose -3*x + 124 + m = -f, 2*x - 3*f - 212 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -9, -3, 2 in increasing order.\nAnswer: -50, -9, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((-9 - 1) + 0 - (-51 + -17 + 65))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -4, -18, 48, -0.3, -2 in increasing order.\nAnswer: -18, -4, -2, -0.3, 4\/3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49028, -49030, -49032, -49034?\nAnswer: -49036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28325 - 3?\nAnswer: 28322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)*c)\/c**(-1\/7))**(1\/10)*(c**(1\/11)*c\/c**(-5))\/((c\/c**(-5))\/c*c\/((c\/(c\/(c**4*c)))\/c*c)) assuming c is positive.\nAnswer: c**(1696\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -159\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/10)\/((q**(-4)*q)\/q))\/((q**(2\/15)*q)\/(q**(-8\/7)*q)) assuming q is positive.\nAnswer: q**(509\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2485 is divided by 2472.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose 0 = -f*c + 4*c - 84. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -293, -568, -831, -1076, -1297, -1488, -1643?\n\"Answer: v**3 - 282*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p. Suppose -2*m = -3*x - 6, -4*x + p*x = 2*m - 6. Suppose -1 = -r + 2, -40 = -j - m*r. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - p**2 - p**2 - 3*p**3 + p - 3*p**2 in the form h*p**2 + f*p + t + i*p**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -29. Suppose z = a - 6. Let k(y) = -y**3 + 8*y**2 - 7*y. Calculate k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562 by 7760.\nAnswer: -281\/3880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1610\/2990)\/(6\/26). Let i be -2 - (115\/(-20) + 3). Which is the biggest value? (a) q (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/3)\/(10\/6 + -2). Calculate the greatest common divisor of r and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62070 and 5958720?\nAnswer: 5958720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 195149705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296 or -298?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12249 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: Is 4416319 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -35945*u - 179846. Give l(-5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/62 (b) 3\/2 (c) -2\/51565 (d) -4\/7 (e) -1\/5 (f) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89882*x**2 + 604*x + 2844277 with respect to x.\nAnswer: 179764*x + 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*27\/(-3). Let y = -3 - g. What is the first derivative of -y*q**4 - 2*q**4 + 4*q**4 - 1 wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174962595 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -1, -2753 in increasing order.\nAnswer: -2753, -1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 440.4 or 16422?\nAnswer: 440.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 44. Let b(k) = 7*k - 50. Let n(f) = 4*b(f) - 5*z(f). Give n(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 2. Let g(z) = 33*z + 88. Let q(b) = g(b) + 44*h(b). Let v(w) = w**2. Give q(v(m)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 3*p - 2 + 2*p. Let w be (28\/6)\/(2\/3). Suppose 0 = b + 1 - w. Let t(z) = -14*z - 6. Give b*t(d) - 17*g(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -406 + 3246?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410104 - 589896. Round r to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -5732.\nAnswer: 3\/2866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(432))*-2 - sqrt(432))*-6 + (-5 + sqrt(432)*2)*-2 + -3)**2 + -1.\nAnswer: 10416*sqrt(3) + 85632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, -2\/501, 0.3, -626?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1a1 (base 14) to base 16\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1521 + -1519. Determine u, given that -2\/15*u**z + 0*u + 8\/15 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 77c + -5?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4845, -19252, -43253, -76848, -120037?\n\"Answer: -4797*s**2 - 16*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -75*p**2 + 378*p + 12. Determine t(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 0 + 0)*(131 - 61 - 67 - 186*k) to j*k**2 + u*k + f and give j.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04935 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c - 4. Let q be r(-2). Let u be 4\/(-6) - (-112)\/q. Suppose -u = -3*s - 156. Round s to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -17*z**4 - 2*z + 1770. Let y(a) = 4*a. What is v(y(g))?\nAnswer: -3264*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((6 - 14) + 5) - (-24 + 4 + -5).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9837 + 9849. Solve j = 4*y - 4*x - 24, -3*x - 31 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:19 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshssssssssss. What is prob of picking 1 h and 1 s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (1 - 4) + (-8 - (8 + -19))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 500693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 11. Let j be u(-5). Let n be 6\/((-24)\/(-52)) - j*-2. Let t = n - 10. Calculate the lowest common multiple of 7 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 6, -3, -2, -6\/215, 0.15?\nAnswer: -6\/215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162348, 325580, 488808, 652032, 815252, 978468?\nAnswer: 1141680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043394341 rounded to 7 decimal places?\nAnswer: 0.0004339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 81.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 7:50 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 416029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7925*u - 8531 + 166155 = -333726 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(40)\/(sqrt(15)\/sqrt(3))))\/(-3*(sqrt(160) - sqrt(10))*-1)*2*-3.\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 9*g**3 - 8*g**3 + 2*g**2 - 2*g - 3*g**2 to t + j*g + h*g**3 + f*g**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123\/(-205))\/(2*1\/(-10)*(-95)\/2565).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/22 and 48\/473.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*s**3 - 8*s**3 - 28*s**3 + (17*s + 20*s + 9*s)*(-s**2 - s**2 + 0*s**2) + 2*s**3 - 2*s**3 + 2*s**3.\nAnswer: -115*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-3)\/6 - -327. Let y = f + -218. What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3 = -p - 2*y, 4*p = -4*y. Suppose -p*k + 3*b - 2604332 - 4055659 = 0, 6659988 = -3*k + 4*b. What is k rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969, 4045, 9281, 16677?\nAnswer: 26233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-5))\/((-1)\/(-5)). Let x(o) be the second derivative of o**4\/12 - o**3 + 7*o**2 + 518*o. Calculate the least common multiple of x(v) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y + 1. Suppose -z - 26 = -3*z. Let p be (z\/4)\/((-2)\/8). Let t = 12 + p. What is l(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99.1 + -98.6. Let a be (-3)\/54*((-18)\/3 - -4). What is the third smallest value in y, 1\/3, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.3 (c) -296\/27 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a. Let d(v) = -v. What is 3*d(w) + m(w)?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 9. Calculate f(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1\/4, 7.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4009864?\nAnswer: 2, 501233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1037? (a) 0.1 (b) -37 (c) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2281*q**2 - 19046*q**2 + 608*q**2 + 1 - 1.\nAnswer: -20719*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -337*u - 33497. Give f(-99).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 441.43 + -961. Round b to the nearest integer.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 11 = -x, 24*x - 21*x + v = -7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2613\/4 - -3634671\/5564. Let b = -123805\/2782 - g. Calculate the common denominator of b and 15\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -126*j**3 - 3*j**2. Let u(b) = -127*b**3 - 2*b**2. What is -2*k(t) + 3*u(t)?\nAnswer: -129*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2447 + -2440. Suppose t + 3*t + z + 20 = 0, 12 = -3*z. Is 53 a factor of (-1 - (t + l)) + 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 o when four letters picked without replacement from pnororhonrnrornr.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 118. Let m(r) be the third derivative of -r**6\/120 + r**5\/15 + r**4\/24 - 20*r**2. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35913 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22922, -45835, -68746, -91655?\nAnswer: -114562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 23*b. Let l be s(3). Suppose 0 = -2*k - k + l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*n + 0 + (-1 - 2 + 5)*(-2 + 2*n + 2) - 7*n + 4*n + 7*n)*(2*n - 2*n**2 + 2*n - 6*n) in the form h*n + q*n**2 + k + m*n**3 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + m**2 - 2*m**2 + 0*m**2. Let g(s) = s. Give d(g(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p + 47. Give o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i. Let s(w) = 246*w + 3. Let o(g) = -6*g + 2. Let h(n) = 2*o(n) - s(n). Give d(h(t)).\nAnswer: 516*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 38*u - 32*u + 2, -5*l + 2*u = -19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3622*t + 33209?\nAnswer: -3622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 162*o - 1091. Determine r(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*39*((-99)\/6)\/(-11)*(-230)\/1380?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2 + 2 - h**2. Suppose -8*w + 11*w = 12. Let m(g) = 6*g - 2*g + 0*g + w*g. Calculate j(m(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 0.09. What is the nearest to 2 in h, -5, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1 - 12*w + w**2 - w**3 - 15*w + 2*w**3 + 26*w. Let z be m(1). Solve -5*p - 3 - z = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 5*o**7\/42 + 3*o**4\/4 - 2*o. Find the third derivative of h(q) wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 + 8*c + 12. What is v(-5)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**4\/4 + 4*w**3 - w**2\/2 - 5*w - 81. Give u(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51064284 divided by 698?\nAnswer: -73158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -49. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5473912 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 20*b - 1306. Let l be 10 + 2\/((-18)\/b). Solve -x = o - 4, 3*o = -2*o - l*x + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 + 5*j**2 + 18*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 6*j - 75. Let i = 1474 + -20623\/14. Find the common denominator of (-11)\/8*12\/j and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160337791?\nAnswer: 1999, 80209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32279 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g - 3. Let c(d) = 2*d - 1. Let x be c(-1). Let y = 0 - x. Let f be u(y). Solve 2*w + 3*p = -w + f, p = -3*w + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1378 + 1471. Let l = -54449.028 + 54542. Let b = l - o. Round b to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -49, -50, -51, -52?\n\"Answer: -z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q + 22*q - 108*q - 2*q**2 + 23*q - 9*q.\nAnswer: -2*q**2 - 41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24635\/58 + 54444249\/128180. What is the common denominator of r and -83\/160?\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/434390 and -73\/6050.\nAnswer: 2171950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11688, 1\/6, -14, -1, 2\/11, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*k + 28, 2*t + 176 = 2*k + 166 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 26*j**2 + 24*j - 33. Give k(-27).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 86*n**3\/3 - 3*n**2\/2 - 2*n + 8. Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 + 130. Suppose g = -p*f - 4*f + 9, -5*f = -g. Calculate the remainder when 8 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/10*(-2108)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -937\/24 + 116\/3. Let m = 8 - 9. Put -2\/3, z, m in descending order.\nAnswer: z, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2 + 8. Suppose t = -q - q. Let d(x) = -2*x. Let h be d(q). Solve -14 = -k + 6*k - h*o, 5*o = 5*k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:19 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 169027*z**2 - 5*z - 1162329.\nAnswer: 338054*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 97.\nAnswer: 43456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -384850, -1540078, -3465458, -6160990, -9626674, -13862510?\n\"Answer: -385076*w**2 + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9895248 rounded to 3 dps?\nAnswer: 1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 11. Let r = -11 - s. Let t = r - -21. Calculate the least common multiple of 3 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 724109363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 20, -26947 = -3*y + 15*g - 16*g. Is y a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - z = 5, 2*c - 4*z + 2 - 22 = 0. Put c, -5, 0.5 in increasing order.\nAnswer: -5, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/9287763 and 67\/68595.\nAnswer: 46438815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w. Let s(u) = 8*u**3 + u**2 - u - 5. Determine -2*l(x) - s(x).\nAnswer: -6*x**3 - x**2 - x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65900 and 376.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9)*(126 - 358980\/2852)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-984)\/(-4674))\/((-3856)\/152)\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 4*j + 20. Suppose 5*z - x = -j, -x = 2*z - 2*x + 7. Is 11 a factor of (33\/6)\/(z\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187248.\nAnswer: 2, 3, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -201, -168, -115, -36, 75, 224?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + q - 7, -176*k - 2*q + 10 = -181*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - k + 3*k**3 - 1994 + 1943 to the form t*k + c*k**2 + d + q*k**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2989440 and 900?\nAnswer: 14947200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m + 1\/3*m**3 + 2 + 0*m**2. Let q(o) = -2*o. Give n(q(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3153608ml to litres.\nAnswer: 0.0003153608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12086854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-2))\/((-210)\/840).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -1.3, 2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 divided by -3?\nAnswer: -251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 214656 and 49536?\nAnswer: 643968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 24. Let v(n) = -29*n + 12 + 13*n**2 + 5 + 26*n + n**3. What is the remainder when v(-13) is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s + 23430 = 21730 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -92055569 divided by -1?\nAnswer: 92055569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2946976 and 1216.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 4. Determine r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(810)*1)*2.\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/8 - 12\/(-16). Let j be f\/(-30) - 1684\/(-10). Calculate the greatest common factor of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 452 = 169 + 219. Solve -53*s + 51*s - 22 = -4*t, 0 = -5*t + 5*s + y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kns when three letters picked without replacement from snnnksnk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57300000 rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451210 + 10?\nAnswer: -451200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*a - 41, 67*j - 66*j - 15 = -2*a. Let r(o) = 30*o**2 + o + 7. Let i(s) = 89*s**2 + 3*s + 20. Let l(v) = 6*i(v) - 17*r(v). Give l(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - r + 821 = 0, -4*c + 1080 = 4*r + r. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*i - 5*t, i + 0*t = 3*t + 35. Suppose 0 = -2*f + 31 + 1. Let j = -3 + f. What is the remainder when i is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226768 and 62736.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 1317*r - 535 = -11*s + 1322*r, -4*s - 4*r = 49 - 5 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.71303 - 0.11803. Let a = i - -0.405. Sort 0.3, 0.2, a.\nAnswer: 0.2, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 2*t + 2. Let l(u) = u**2 - 1. Let g be l(1). Suppose g = 4*a - 15 - 1. Let n be a\/(-2)*3\/2. Give m(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 1131.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -121 and -11.41536.\nAnswer: -132.41536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7995 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.29 + 0.71. Let p = 1076747.3253 + -1076701.32529959. Let k = m - p. What is k rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 4, -5, 0 in descending order.\nAnswer: 9, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 11\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*n**3*z**4 + 2*n**3*z + n**2*z**4 + 116*z wrt z.\nAnswer: -336*n**3*z**2 + 12*n**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8 - -6) + (5 - 6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (13 - (24 - (10 + -16))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64, 146, 228, 310, 392?\n\"Answer: 82*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938629492.\nAnswer: 2, 173, 1356401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2166865.\nAnswer: -866746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -a, 0 = 4*a - 3*a - 3*y - 20. Let i(w) = -w**3 + 4*w**2 + w + 2. Let o be i(4). Solve 0 = t - o*t + a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7194 divided by 1.\nAnswer: 7194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (560\/24)\/((-1)\/(-9)). What is y rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.2 + 33.2. Let m = 0.3 + -0.4. Sort -0.2, c, 2, m in descending order.\nAnswer: 2, c, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7479 (base 12) to base 10.\nAnswer: 12765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19679375 is divided by 1505.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 148, 458, 1048, 2008, 3428, 5398, 8008?\n\"Answer: 15*x**3 + 5*x**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 17. Give w(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14133 by -2.\nAnswer: -14133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4010 and 16180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4653 = -3*h - 3*j, -3*h - 2932 = j - 7583. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584416?\nAnswer: 2, 7, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (14 + -19 + -4)) + 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2 (c) -1047 (d) -359 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10485103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-15 - o + 15 + (0 - 3 + 4)*(26 - 26 - 2*o)) + 3*o + 4*o - 14*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 15, 50, 121, 240, 419, 670?\n\"Answer: 2*z**3 - 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 315*z - 6685 - 2450 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (59 + -64) - (-2 - -21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -5\/6, -1, -2, 5897, -1\/31, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -3*sqrt(468) + sqrt(468) - 3*sqrt(1573))**2 - (sqrt(13) - sqrt(143)\/(sqrt(33)\/sqrt(3)) - sqrt(13) - (-1 + sqrt(117)))**2*1.\nAnswer: 8*sqrt(13) + 24959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/(-210)*(-3)\/12*-51?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -16 + 17*p**2 + 8*p + 27 - 2*p**3 + 0*p**2. Let k be f(9). Suppose -5*d = -k*d - 39. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from qpqlvmd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -0.050707?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 3 + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 9*r**2 + 108550*r - 5. Give i(-325).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-11)*k**(-2)*k*k\/((k*(k\/(k**(-2\/33)*k))\/k)\/k*k)*k*k*(k\/((k*k\/(k*k*(k*k**(-3\/11))\/k)*k*k)\/k)*k*k)\/k*k assuming k is positive.\nAnswer: k**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:34 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68498848 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(539)*-1*2)**2 - -5*(sqrt(891) - (sqrt(891) + 1 + sqrt(891)) - (-2*(sqrt(11) + 0) - sqrt(11))))*-1 + -5.\nAnswer: -2160 - 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, 44, 74, 116, 170, 236, 314?\n\"Answer: 6*s**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 21*v + 2*n + 32 = 16*v - 98, 3*n = 3 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**2 - 699*h - 2077. Determine q(-3).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2538 - 2659.98. Let u = q + 122. Which is greater: 24 or u?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/10 + 21637*k\/10 + 3368718\/5.\nAnswer: (k + 316)*(k + 21321)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 2*x**3 + 0*x**2 - 2*x**2 + (-9 - 11 - 8)*(0*x**3 + 3*x**3 - 2*x**3) to the form q*x**2 + d*x + t*x**3 + l and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*a*n*z**2 + 1064*a*n*z + 2*a*n + 211*n**2*z**2 - 5*n**2*z wrt z.\nAnswer: -152*a*n + 422*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 76217.8162 to the nearest integer.\nAnswer: 76218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6*c + 3*a - 3, 13 = 2*c + 3*a. Solve 0 = -c*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*s + 11, -y + 5*s - 34 = -10. Let u = y - -2. What is the units digit of u*(-4 + (-53)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -91, -239, -515, -961, -1619, -2531?\n\"Answer: -7*x**3 - x**2 - 10*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/8 + (-4199)\/884. Sort -4, -5, 37, h, 5 in increasing order.\nAnswer: -5, -4, h, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 + 8*j**2 - j + 6. Let m(w) = -w**3 - w**2 - 1. Let z(t) = 2*t + 33. Let x be z(-7). Let y = x + -25. Calculate y*m(f) - b(f).\nAnswer: f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2668\/27225 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 29 - (-1 + -4 + 1 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4285 (base 13) to base 15.\nAnswer: 2b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 113*u**3 + 2*u**2 - 1. Let w be a(1). Let o = -48 + w. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 5*w + 6. Let s be t(5). Let r(g) = g**3 - 7*g**2 + 6*g + 2. Let k be r(s). What is the tens digit of 2 + -4*k + 3 + 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 25*y**2. Let r(d) = d**2 - 2*d + 2. Let a(f) = -2*f**2 + 3*f - 3. Let x(v) = -2*a(v) - 3*r(v). Determine j(x(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1989889555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126096 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:10 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -p + 5*p - 94, 5*p - 5*g = 140. Suppose -3*l - 5*s = -0*l + 14, -3*l + 5*s + p = 0. Solve 2*u + 5*r = 9, -3*r = -4*u + l*r + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.89429 to one dp.\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - 3*h + 2*h)*(-7 + 2 + 2)*(-6*h + 8 - 8) as p + z*h**2 + w*h and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n + 2*n + 7 + 3*n. Let l be k(6). Calculate the remainder when (-2*6\/l)\/((-99)\/(-330)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*d - 14, -5*g + 9 + 4 = -4*d. Let s(y) = -11*y + 2. Let z(t) = -65*t + 13. Determine d*z(q) + 13*s(q).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 5, r: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from {p: 1, q: 1, u: 11, o: 2}?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -972637070 rounded to the nearest 100000?\nAnswer: -972600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 + 159. Let m = 1 + -11. Let u be (32\/(-20))\/(r\/m). Solve -5*n = -5*l - 5, -4*n = -2*l - 7*n + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 9*s - 2763. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + (28\/(-2) - -5365)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47822061 to the nearest integer?\nAnswer: 6915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6157739788.\nAnswer: 2, 67, 83, 276827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(20\/10)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2588*p - 2588*p + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-12)\/(-8) + -2). Suppose 0*c - 3*c + 48 = z. Let u = 9 - 5. Solve 12 = -u*s + 3*o, -5*s - 5*o + 4 = -c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 921375, -9 in decreasing order.\nAnswer: 921375, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o + 2. Give x(9).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*k**2 + 513*k - 12599 wrt k.\nAnswer: -44*k + 513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -41*w**3 - 10*w**2 - 63*w - 139. What is t(-3)?\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 - 14 = 0. Suppose -l = -0*k - 2*k. Solve -d = 2*d - k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 29 = -53 - 120 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*5*sqrt(5)*-1 - (-2 + sqrt(20) - sqrt(10)\/(-1*sqrt(2))).\nAnswer: 2 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46128168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + -2*2*sqrt(84) - sqrt(84) - (sqrt(84) + 1*sqrt(84)*-1 + sqrt(84)))\/((sqrt(72)*-4*3)\/sqrt(6)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 2\/3, -4 in descending order.\nAnswer: 2\/3, 0.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55121550 divided by -1670350\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*f + 447*f = 132*f + 25425. Solve 0 = 45*z - 405 + f for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -223 + 118. What are the prime factors of (20\/3)\/((-14)\/n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81121, 81110, 81077, 81010, 80897, 80726?\nAnswer: 80485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.0153, -1\/5, -0.4, -46 in ascending order.\nAnswer: -46, -0.4, -1\/5, 3.0153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*s + 2824, 27 = -3*t + 4*s + 4261. Suppose -2*f + 2*m = -6*f + t, -3*f + 1060 = m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/21 + 1\/21. Which is the biggest value? (a) 0.3 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*j = 30, n + 18 = -2*n + 4*j. Which is the nearest to 0? (a) -4 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.582599 kilometers?\nAnswer: 3582599000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 16533 - s**4 - s**2 - 16210 to the form w*s**2 + h*s**3 + n + r*s + c*s**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 17*f - 7*f)*(-f**3 + 168*f**2 + 52*f**4 - 168*f**2 + 1) + (4*f**3 - 4*f**3 - f**3)*(f - f - 2*f**2) + f**5 - 2*f**3 + 2*f**3.\nAnswer: -1505*f**5 + 29*f**4 - 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5796.106 rounded to the nearest 100?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from habahaoaoakoa. What is prob of sequence aabo?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 13892?\nAnswer: 27784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354831?\nAnswer: 3, 118277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(75) + (sqrt(243)*-4 - sqrt(243)) + 0)**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, p: 5}. Give prob of picking 4 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*p + 24, -36 = -3*p + 2*u + u. Suppose 0 = -p*r + 8*r + 12. Suppose r*q = 51 + 3. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 8. Let u be s(-12). Let k be -4 + u + (-2 - -5). Put 0, 4, -9, k in ascending order.\nAnswer: -9, k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -116*b + 246. List the prime factors of c(-5).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490.85062 rounded to the nearest 10?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 + -209. Which is the second smallest value? (a) 3 (b) 0.1 (c) -11 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + j**3 + 99 - 296 + 2374*j**4 + 98 + 101 in the form b*j**4 + v*j**3 + w*j + n + c*j**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -10. Let c(d) be the first derivative of 0*d**3 - 2 - 2\/5*d**5 + 1\/2*d**2 + p*d + 0*d**4. What is the second derivative of c(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*19\/6 + -1 and (-2)\/(-14) - (-4809)\/1666.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101 - -4564?\nAnswer: 4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19. Suppose -8 = -3*d + 4. Suppose 6*i = d*i - 2. Which is the nearest to j? (a) i (b) -0.2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-35)\/(-40) - (2 + -1)). Let c = -52 - b. Solve -6*i = -2*i + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -329\/4 + 979\/12. What is the smallest value in -1, f, 1, 4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*k - 10. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 4*y + 3. Suppose 0 = 36*l - 35*l - 75. Let k = 78 - l. What is the remainder when b(-2) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(-104)\/((-117)\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000220 + 211?\nAnswer: -111000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 21, -0.1, 3425, 37, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 1, f: 5, z: 3, i: 1}. Give prob of sequence qizl.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 505 divided by -4\nAnswer: -505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 80. Is -28 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b**2. Suppose -2 = -14*y + 68. Let z(a) = 60*a**3 + 5*a**2 + 2*a - 38. Let h(x) = y*v(x) + z(x). Find the second derivative of h(d) wrt d.\nAnswer: 390*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnp when three letters picked without replacement from pneenepii?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-27)\/(-6))\/((-185)\/(-74))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -28*10\/(-40) + -2. Solve 0 = -p - 4*p - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let o(j) be the third derivative of -1\/3*j**4 + 0*j + 0*j**3 + 5*j**2 + 0. Determine q(o(r)).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5, 24\/5, 5?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 2*h + 5. Let t be q(0). Suppose -5*k + t = 2*i - 40, -5*i + 5*k + 165 = 0. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.52 + -0.4. Let d = m - 0.02. Is d greater than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 6*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 72 + 7*j + 3*j + 15 + 98 in the form b + d*j and give b.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47 - -43 - (1 + -13) - -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 18*l**2 - 2*l + 21. Let g be q(9). Let z be g\/(-5 - 658\/(-133)). Let i(u) = 58*u**3 - u. Let h be i(-1). Is z bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 18*v**3 - 7*v**2 - 3*v - 4. Let r(d) = -35*d**3 + 15*d**2 + 7*d + 9. Let z(a) = 6*r(a) + 13*x(a). Let b be z(3). Round b to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Let v = s + -8. Suppose -4*q + 5 = h, -1 = -5*q + 3*h + h. Put -2, v, q in ascending order.\nAnswer: v, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-5)\/(0 + -5). What is the units digit of (q - -1)\/((-3)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9969*k**2*q**2 + 20*q**2 - 162*q wrt k.\nAnswer: -19938*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 13*h + 6*h)*(-2*h - h**2 + 6*h - 2*h)*(0 + 0 - 2*h) to b*h**4 + k*h**2 + t + z*h**3 + m*h and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2562*t - 222. Let p be l(-6). Suppose 15*k - 41265 = p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -997*c - 258?\nAnswer: -997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a**4 - 8*a**3 - 5*a**2 + 9*a + 9. Let l = -10 + 1. Let q(u) = 3*u**4 - 2*u**3 - u**2 + 2*u + 2. Let p(h) = l*q(h) + 2*j(h). Factor p(o).\nAnswer: -o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-386)\/6)\/((-6)\/(-18)). Let u = k + 1210. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 48 - 3*b**2)*(0*b + 2*b - b + ((0 - 1 + 0)*(2*b - 2*b - b) + 24 - 24 + 28*b)*(-3 + 0 + 4)).\nAnswer: -90*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123313 and 66887.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77643593866 + 1?\nAnswer: 77643593867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 73*l - 128. Factor 32\/5 + 24*a**l + 36\/5*a**3 + 112\/5*a.\nAnswer: 4*(a + 2)*(3*a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001*-1235.5\nAnswer: 1236735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2998311119 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*10*1*22\/(-165)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {h: 2, w: 2, m: 1, c: 3, u: 2, r: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0*g**3 + 0*g**2 + g + 1\/12*g**4 + 0. Let j(i) = -3*i**2 + 4 - 4. What is j(p(b))?\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/12*(2 + 6 - 10). What is the nearest to s in 4\/3, 2, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 12*i + 25. Let t be p(13). Let d be (18\/(-15))\/((-6)\/t*-63). Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -1484745801263.\nAnswer: -1484745801263.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3 + 5 = -2*c, 3*q - 20 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-45)\/24))\/(-1 - 9626\/(-9630)). What is the highest common factor of t and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2\/7 - 500898*d\/7 + 500895\/7 = 0.\nAnswer: 1, 166965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135665 and 6880?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 404 = 4*a, 2*h + 3*a - 130 - 77 = 0. Suppose -10 = -4*r + h. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*z + 2*s, z - 2*s + 2 + 19 = 0. Put z, 108, -5 in increasing order.\nAnswer: z, -5, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1488, -2487, -2486, -981, 2532, 8557, 17598, 30159?\nAnswer: 46744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48*(15\/(-18))\/((-6)\/(-9)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 - 248 = -7*a. Let b = a + -127. Factor 179 + 24*z + z**2 - 215 - 3*z**b + 2*z**2.\nAnswer: -3*(z - 2)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/5 - 4058*q\/5 + 4056\/5 = 0?\nAnswer: 1, 2028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyby. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*f + 5*f + 10570. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (102 - 0\/1)*17\/34 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:07 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -29480, 5, 4 in decreasing order.\nAnswer: 5, 4, -29480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 39*o - 309. Let i be b(29). Sort -2, 3, i in decreasing order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 182*z - 14 = 195*z, 18 = -5*k + z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 - 1127. Let u(f) be the second derivative of -11*f**4\/12 + 2*f. Determine u(q(i)).\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. What is the third derivative of -8*h + 8*h - 4*h**k + 7*h**4 - 3*h**2 wrt h?\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 19. Let b be (-1 + (-12)\/(-2))\/t. Calculate the greatest common divisor of 30 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -10. Let l = -15 + z. Let b = l + 5. What is the closest to -0.1 in -0.3, b, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2 - 2 - h. Let l(y) be the third derivative of -5*y**4\/24 - 649*y**2. Determine l(u(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1 + -2 + -68*(-801)\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - o, o - 2*o = f - 4. Let b(y) = -4 + 4 + 3*y**2. Let g(c) = c**3 - 2*c**2. Let q be (-69)\/(-11) - (-37188)\/(-11363). What is f*b(n) + q*g(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, 1\/3, 1 in increasing order.\nAnswer: -22, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-47)\/(-9) + 4\/(-18). Suppose -4*o + p = -15. Suppose -3*t + 6 = 5*i - 51, 0 = o*i - 3*t - 33. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.2. Suppose -3*r = -13 - 38. Suppose 4*n - r = -1. Sort n, l, -3 in ascending order.\nAnswer: -3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(11\/2)*x**(-6\/5))\/((x*x*x**(-19)*x*x)\/(x*x**(2\/7)*x)))**(26\/7) assuming x is positive.\nAnswer: x**(19643\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 34 - 149 = 0. Put 1, -6, s in descending order.\nAnswer: s, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:51 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 211*p + 3182. What is g(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 6318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338 (base 9) in base 15?\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2897, -5773, -8649, -11525, -14401?\nAnswer: -17277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + 0.05. Let o = -2.4704 - 1.5296. Let b be (3\/(-7))\/((-3)\/(-4)). What is the smallest value in o, b, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:49 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m**2 + 3639*m - 2959. Let p(t) = t**2 - 260*t + 213. Let q(i) = -6*f(i) - 87*p(i). What is c in q(c) = 0?\nAnswer: 1, 259\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/(-4)*(-48)\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 20*b + 5*b - 3*b - 2*b + 4*b + 0*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157836 divided by 78918.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -24518*d + 24520*d - 34, 35 = 3*d + 5*z for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1735 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 890 * -4.\nAnswer: -3560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + (-5*(sqrt(2736) + 2))**2 - -2*(1*sqrt(2736) - sqrt(2736))**2 - -4*(sqrt(2736) + -1 + 4)**2.\nAnswer: 1500*sqrt(19) + 79480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -35*p + 61. Let r be o(4). Let f = -74 - r. Solve f*c - 3 = 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 6 = 0. Suppose -6*q = -s*w - 3*q + 12, 5*q - 5 = 0. Find the third derivative of 9*y**5 + 0*y**w + y**2 - 6*y**5 wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) + (-1)\/2. Suppose 0 = -2*z - s - 0*s - 1, 0 = -z - s - g. Suppose -f + 66 - 1 = z. What is the greatest common divisor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*p + 53032, -p - 2696 = -2701. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 22*j + 23. Let g be a(21). Let i be 3\/(18\/3)*6. Suppose -m - g = -i*m. What is the remainder when 85 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:45 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, 8\/25, -2\/3, 5?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3364\/(-4205))\/((124\/5)\/(-2))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-7))\/(7 - (-480)\/(-70)). Sort -1, 8, m in ascending order.\nAnswer: m, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(72) - 1*sqrt(72)) + sqrt(72) - sqrt(72)) + 1)*6)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1. Let i(p) = 2*p + 98. What is 3*b(j) - i(j)?\nAnswer: -2*j - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(70\/(-5))*(-1)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62\/6 + 8\/12. Suppose -m + 3*y - 9 = m, y = -2*m + k. Let a(o) = -o**3 + 2*o**2 + 5*o - 2. Determine a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 46063675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385 - -385. Let p = -6 + 5.6. Put p, k, 1\/3 in increasing order.\nAnswer: p, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o**3\/o*o)\/o)\/o)\/(o**(-20)\/o))**(-49) assuming o is positive.\nAnswer: o**(-1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 2*n. Let y be (-46)\/(-14) + 4\/(-14). Let t = -50 + 201\/4. What is the second biggest value in y, n, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80))\/(sqrt(110)\/(sqrt(11)*-2 - sqrt(11))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11303000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-143 + 36 + -2 + 35).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(91)*-4 + sqrt(91)*-4*6)\/(-4*(sqrt(56)\/sqrt(8) - sqrt(7)) - sqrt(21)\/sqrt(3)*-6).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*m = n + 10, 30 = 2*n - 5*m. Let k(a) = 2*a + 3. Suppose -2 = -d + 1. Let f(o) = 3*o + 3. Let t(u) = d*f(u) - 4*k(u). What is t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 786 = 2976. Let u be -2 + (-24)\/(-14) + f\/(-7). Let b(z) = 13*z + 12*z + 3 - u*z. Let q(o) = -3*o + 1. Calculate -2*b(r) + 5*q(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65626 and 8987?\nAnswer: 2821918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 31*m**5\/20 + m**4\/3 - 333*m**2 + 12*m + 18. Differentiate i(g) wrt g.\nAnswer: 93*g**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -14. Let t(a) = 8*a**3 + 2*a**2 - 2. Let c be t(2). Let h = y + c. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1037400 and -79\/1950.\nAnswer: 1037400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(2)*-2) + (sqrt(96) + sqrt(24))*-5)\/(sqrt(96)\/(sqrt(12)*3) + sqrt(640)\/sqrt(5)).\nAnswer: -93*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 185461, 0, 20 in increasing order.\nAnswer: 0, 2, 20, 185461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2873 + -546. Let x = -2330.042 + r. Let n = -0.058 + x. What is n rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r**3\/2 + 186*r**2 - 2523*r\/2 + 1551 = 0. What is r?\nAnswer: -11, 2, 47\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - sqrt(68)*3)\/sqrt(4) + 4.\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g - 20. Let j be q(5). Suppose -h + k + 4*k - 3 = j, k - 7 = -3*h. Let v be 0\/(-1)*1\/(-2). Solve 3*z - 2 = t, 0*z - z + h*t - 1 = v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19065 + 19074. Solve 0 = -a*l - 17*l + 26 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 28236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*f = 6. Suppose 3*y - 18 = -f*m, -4*m = m - 20. Calculate the least common multiple of 27 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 6. Let f be c(3). Suppose f = -0*g - g + 79. Suppose 75 = -g*m + 82*m. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52689787561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35b52 - -6?\nAnswer: -35b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 + -68. Let r = 75 - w. Which is the closest to 4? (a) r (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102312 by 588.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*v + 35. Suppose -2 + v = 2*m. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - x + x - 2 + 10 - x**2. Let m be n(6). Let c = 2 - m. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.886 - 0.414. Let p = -34 - n. Is -1\/2 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/4 = -27756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6384.257 litres in millilitres?\nAnswer: 6384257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8500.401 nanograms?\nAnswer: 0.000008500401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43728 is divided by 1213.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(22) + sqrt(1078)*-2))\/(-2*sqrt(1584)*-4))**2.\nAnswer: 169\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/5 - 1828*u**3\/15 - 4294*u**2\/15 - 1228*u\/15 = 0?\nAnswer: -2, -1\/3, 0, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nubnnbn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-2)\/(-4)*1). Which is the nearest to d? (a) 3\/5 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**4 + k**3 + 311*k**2.\nAnswer: 96*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -212*d. Let j(f) = -32907*f**2 - 2*f + 25. What is j(q(t))?\nAnswer: -1478972208*t**2 + 424*t + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40104231 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 2}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2\/21, -6192, -2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17125 and 59875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2464579444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 1148, 2620, 4688, 7358, 10636, 14528, 19040?\nAnswer: 24178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22808051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 3\/5 (c) -0.09 (d) 0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*s - 4, 4*l = 5*s - 9*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.4*-1222463.\nAnswer: -9046226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*n - 25 + 9, -g + 4*n - 14 = 0. Suppose 35 - 25 = g*x. Solve 163 = -x*u + 138 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9077*l**3 + l**2 + 2*l + 1. Suppose 18 = -2*x + 16. Let u be k(x). Let q = -136079\/15 + u. Calculate the common denominator of 19\/27 and q.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -11*y + 2. Let w(i) = 5*i - 1. Let p be 48\/36*6\/4. Let s(m) = p*z(m) + 5*w(m). Calculate s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.031 + -1.929. Let o = -2 - q. Let d be (20\/24*33\/385)\/((-2)\/(-21)). Sort -1\/2, o, d.\nAnswer: -1\/2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -26. Suppose v + 2*v = 9. Suppose 467 = 4*a - r, -v*a = -2*r - r - 348. Calculate the highest common divisor of m and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 98*p**2 - 100*p + 100. Let u be y(99). Which is bigger: -5\/5332 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259324.8209 rounded to the nearest ten thousand?\nAnswer: 2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (29\/(-4) - -8)*8. Calculate the common denominator of -71\/16 and 54\/(-240) - a\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 286*q + 175700. Give a(-616).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(11 - 8) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -98, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -6. Suppose -4*w - 4 = -x, -h*w = -5*x - 4*w + 74. Let s = 23 + -15. What is the least common multiple of s and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (589\/(-465))\/((-26)\/78)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 1.002635.\nAnswer: 0.702635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-5)*(-10)\/2 - 2. Sort -16, d, -3 in ascending order.\nAnswer: -16, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66137 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390.5 + -390. What is the nearest to 0.2 in -5, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 + 7815*x**2 + x - 10 wrt x?\nAnswer: -12*x**2 + 15630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 9*n**2\/2 - 2*n - 2704. Let i(p) = 13*p - 3. Determine 5*i(j) - 7*l(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4 + 16*p**3 - 48*p**2 = 0. Calculate p.\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -26 - 22. Let o be (1\/(-2))\/((-1)\/8). Let q(x) = x**2 - 2*x - 5. Let h be q(o). What is the greatest common factor of r and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 5, -11, 0.3, -2\/127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1672*t**3 - 2*t**2 - 24*t + 5. Let w(c) = 5015*c**3 - 7*c**2 - 84*c + 16. Determine -7*p(f) + 2*w(f).\nAnswer: -1674*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 24*v - 10 = 2*n + 2*n, -7*v - 4*n - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2822410 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110262.5826 + -294.1026. Let t = -109956.179901 + j. Let b = t + -12.3. What is b rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h + 3. Let l(g) = 0*g + 3 - g + 8. Let t be l(8). Suppose -3*y - 4*z - 10 = -2*y, 2 = -4*y + t*z. Give m(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4032 - 5012. Suppose -4*q = 1295 + 733. Let l = q - v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -600 + 903. Let h = s + -194. Suppose -487 = -2*v + h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {v: 1, h: 1, f: 1, j: 2, s: 1, z: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 52039.4 millimeters?\nAnswer: 0.0520394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56668864 and 1770902?\nAnswer: 56668864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86, 611, 2036, 4811, 9386, 16211, 25736?\n\"Answer: 75*v**3 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 22 = -h + 18, -4*m = 3*h + 12. Let f(c) = -c**2 - 8*c - 21. Determine f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18273762, 4, -12 in descending order.\nAnswer: 4, -12, -18273762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (4 + (sqrt(76)\/sqrt(4) + sqrt(19) - sqrt(19)) + sqrt(19))**2)*4.\nAnswer: 68*sqrt(19) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 4*a + 5 - 20)*(5 - 6 + 2) + 80*a + 60 - 60 to q + s*a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + i - 89, 5*a = 3*a + 5*i + 65. Let g be 18*(-2)\/a*-5. What is the second derivative of g*m - 8*m + 19*m**2 + 3*m + 14*m wrt m?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1029?\nAnswer: 5\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01943 + -20.01957. Let f = -20 - u. Let g = 0.0389656 - f. What is g rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8044848622*g**2 - 1 - 8044848622*g**2 + 11*g**3 + 16*g**3.\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -16. What is the third derivative of -2*f**2 - 3*f**2 + m*f**3 - f**3 + f**2 wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 10*m - 11. What is l(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqqa when four letters picked without replacement from ddkadddaqzaddq.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 4, j: 2, t: 6, m: 3, h: 2}. What is prob of sequence tjt?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7797 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - t = -0*t - 258, 2*t + 160 = 3*q. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 1 + t - 2*t**5 - 4*t**5 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -20.88.\nAnswer: 41.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 + 1. What is g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142 (base 5) in base 12?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 589137268 a multiple of 1891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2 - 5454*b - 2478843 = 0?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4412302, -8824600, -13236898?\n\"Answer: -4412298*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + -1110111?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 40 = -2*y, -3*y - 9 - 96 = -4*f. Calculate the greatest common divisor of f and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270 or -269?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) -7 (c) -2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9191 and 14140.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -17.04. Let q = a + 0.04014. Round q to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*w**4 + 0*w + 0*w - w**2 - 2*w + w as f*w**4 + g*w**3 + h*w + n + t*w**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205589 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9956862 plus 8.621?\nAnswer: 9.6166862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23.735 and -0.0435083389.\nAnswer: 23.6914916611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*j**4 - 2082*j**3 + 67410*j**2 + 2423050*j.\nAnswer: -2*j*(j + 35)**2*(29*j - 989)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6))\/(t\/t**(-3\/14)*t))\/((t*t**(3\/4)*t)\/(t\/(t\/t**(-2\/5)*t))) assuming t is positive.\nAnswer: t**(89\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Let k(g) = 7*g - 5 - n*g - g**2 + 6*g. Let i be k(9). Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**2 - 15*l - 29. Give z(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 + 39*t + 314. Give b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11112 divided by 2778.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-30)*428544\/6944?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -36 - 69 + 2*x**2 + 106. Let u(t) = -t**2 - 4*t - 1. Let c be u(-3). What is q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 686 + -659.8. Let f = 26.86 - l. Which is the smallest value? (a) -0.2 (b) -3 (c) -2\/23 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(sqrt(225) - 5*sqrt(225)))\/(5*(sqrt(3) + sqrt(75)) + sqrt(12)*2).\nAnswer: -10*sqrt(3)\/17 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25531 and -319.99.\nAnswer: -25850.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 + 2*m. Let p be l(2). Let a(t) be the second derivative of 2*t + 1\/6*t**3 + 5*t**2 + p. Determine a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 9\/6)*0. Suppose s = -p + 11 - 2. Solve -3*x + 3 = 3*z, -3*z + 4*x = -1 - p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 + 0.09. Let r = a + 0.28. Let n = -2 + 2. What is the closest to n in 2\/3, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91091 (base 10) to base 14\nAnswer: 252a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 + 222633*s + 81435900 = 0.\nAnswer: -364, 74575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6671?\nAnswer: 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 8671104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 7*r + 4. Let o(h) be the second derivative of h**4\/24 - h**3\/6 - 5*h**2\/2 + 6*h. Let z(s) be the first derivative of o(s). Give k(c) + 4*z(c).\nAnswer: c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 0, -203?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -6*-2*(sqrt(99) + (-5*((sqrt(99)*-3 - sqrt(99)) + sqrt(99)) - sqrt(99))))*1)**2.\nAnswer: 1080*sqrt(11) + 3207601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 + -0.0318?\nAnswer: -0.0878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*y + 1 = 0, 2*m + 21 = 4*m + 3*y. Suppose 2*v + 36 = m*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)*l*l*l**16\/l assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 48058*u**2 + 14436983392*u\/5 + 259787852928\/5.\nAnswer: (u + 18)*(u + 120136)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.070954 and 74651.\nAnswer: 74649.929046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 8*j**2 - 10*j + 9. Let q be f(9). Suppose -5*n = s + 17899995, q*s + 5*s - 3580025 = n. What is n rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)\/1 - -4. Suppose 8*y = h*y - 700000. What is y rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -7\/45.\nAnswer: -7\/45, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 1596*p - 227665. Determine r(612).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 10. Let m(k) = -4*k**2 + 21*k - 3. Let u be m(i). Let g be ((-1)\/(-3))\/((-4)\/3). Which is the nearest to g? (a) -4\/3 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 20 - 29. Suppose j + s + 10 = -n*s, j = 2*s + 8. Factor 3\/2*f**3 + 9\/2*f**j + 3*f + 0.\nAnswer: 3*f*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.060231 minus 5?\nAnswer: -5.060231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16266 divided by -2711?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**5\/120 - 2*b**3\/3 + 4. Let x(i) be the third derivative of q(i). Let l(y) = 3*y**2. What is x(l(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100100?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/24)\/(1\/4). Suppose 4*l = 7*l + 5*k - 33, v*l + 4*k = 42. Solve -x + l*x + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 63. Which is the biggest value? (a) k (b) 2\/3 (c) 1\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -2*f + 129. Let a = f + -165. What is the highest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, h: 8}. Give prob of sequence ahha.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.6 (c) 18 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -388 + 3*i + 374 + 0*i + 29*i**2 - 5*i + 24*i**2 to m*i + p*i**2 + r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**3 + w**2 + w. Let x be o(-1). Suppose 4*a - 241 = -c, a - 3*c - 49 = x. Calculate the highest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 42. Let r = 3096\/17 - 182. What is the nearest to 0.1 in r, -1\/5, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94838123 is divided by 498?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**15*(m**1)**(3\/4)*(m**(-2\/3)\/m)\/(m**(-5)\/m)*(m**(1\/2)\/m)**(-3\/2) assuming m is positive.\nAnswer: m**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 at most as big as 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 533676539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 1143, 2574, 4577, 7152, 10299, 14018?\nAnswer: 18309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480 + 2*c + 174 + 139 + 167.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p**4 + 2*p**4 - 4*p**4)*(p + 4*p - 4*p).\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (837827 - 1)\/(-188 - -190) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 + 184*i**2 - 8*i + 798. Determine z(0).\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/2 - 49\/30. Let f be ((-2)\/(-6)*1)\/(-1). What is the fourth biggest value in -3, f, t, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxrrxr. Give prob of picking 1 r and 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4205 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101100110111111 (base 2) to base 8\nAnswer: 54677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 9*s + 2. Let i be d(-9). Let f = i + 2. Solve f*h + 24 = -4*c, -5*h - 6 = -2*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 6) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7437 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5401.\nAnswer: 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 35*c**2. Let z(a) = -160999*a + 32. What is z(v(h))?\nAnswer: -5634965*h**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14294 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 296925440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3426264 and 144.\nAnswer: 6852528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, t: 1, o: 3, f: 5}. Give prob of picking 1 f and 1 k.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*a + 228*a + 1398*a**2 - 1379*a**2.\nAnswer: 19*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irii when four letters picked without replacement from irriiiriri?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.04. Let i = p + -0.96. Let j = -0.07 + -1.93. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -86. Let q = v - -57.5. Which is the smallest value? (a) -0.8 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001 (base 2) to base 10.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6354?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.3384 milligrams to micrograms.\nAnswer: 7338.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1562777, -3125555, -4688333, -6251111?\n\"Answer: -1562778*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-38.\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:56 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -17*l. Suppose l = -t - t + 18. What is the first derivative of v - 5*v**2 - v - t + 0*v wrt v?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*h - 15*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-8))\/(8\/140*5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5) + -4 + sqrt(20) + -1*sqrt(20)\/sqrt(4)*-6)*-2 + -1)**2.\nAnswer: -180*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 + 33276*k**2\/5.\nAnswer: 2*k**2*(k + 16638)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 366 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g\/g**5*g))))\/(g\/(g**(-21)\/g)*g))**(-8) assuming g is positive.\nAnswer: g**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 13*w - 5*u + 8 - 9 = 0, 34 = 10*w + 4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 1\/2*o**2 + 0 + 3*o - 1\/2*o**3. Differentiate a(r) with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*d - 147*d - 12591*d**2 - 3330*d**2.\nAnswer: -15921*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*m - 61, -10*z - 20 = m - 7*z for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -730309\/711 + -286\/79. Let y = h - -1033. Which is the smallest value? (a) y (b) -3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201102 - 10222?\nAnswer: -212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 7*c**4 + 0*c + (-3*c**2 + 433*c + 2*c**2 - 434*c - 7)*(0*c**2 - 2*c**2 + 7 - 2) in the form n + j*c**4 + d*c**2 + w*c**3 + a*c and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -186 (b) -21 (c) -2 (d) -1\/980\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 109, 128, 141, 142, 125, 84, 13?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*f + 3*f. Suppose -6*n + n + 190 = f. What is the remainder when n is divided by ((-3)\/2)\/((-3)\/40)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47114.9 and -0.1.\nAnswer: 4711.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570502 is divided by 2377?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*x**2 + 2*x - 2*x)*(-46*x + 18*x + 20*x) + (-3*x**3 + 4*x**3 + x**3)*(2 + 1 - 4).\nAnswer: 302*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7252.80941 to the nearest 10.\nAnswer: -7250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 599246?\nAnswer: 599246","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12 and (-6)\/(-39) - 313*8\/(-2652).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5622740 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*g + g + 0*g - 16*g - 6*g to the form v + z*g and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -0.99922.\nAnswer: 7.99922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*g**2*j + 20*g**2 - 756*g*j**2 - 2*g*j - 374*g + 2 with respect to j.\nAnswer: -28*g**2 - 1512*g*j - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 1389 + 1234. What is the remainder when 2601 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12314 and -12314 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7965534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (346\/(-9861))\/((-4)\/(-9))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -14 (b) 1 (c) -1 (d) -4\/5 (e) -413 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 5*j**2 - 4*j + 6. Suppose 3*c = 7 + 5. Suppose 39*q = 44*q + 15. Let y(h) = 2*h**3 + 4*h**2 - 3*h + 5. Give c*y(k) + q*b(k).\nAnswer: 2*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, k: 3}. What is prob of picking 3 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4799622?\nAnswer: 2, 3, 251, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 735557168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 722565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 6 - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j + 6. Let u be i(1). Let a(n) = -n**2 + 12*n + 32. Let h be a(u). Suppose -h*p + 0 = -16. Calculate the least common multiple of 36 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.9 + -2.1. Let f = -976.1 + 1122. Let a = f - 146. Which is greater: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/27)\/(78 + 63747\/(-1215) - (23 + 2))\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 2*b**3 - b**3 + 3*b + 5*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2469\/20696 - 18\/199. Let o = -787\/1560 - k. Calculate the common denominator of o and 52\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*a**4*f + 330*a**3*f*o**2 - 3*a**2*f*o**2 + 2*a**2*o**2 + 659*a*f*o**2 + 5*a*f*o - 2*f wrt a.\nAnswer: -1224*a*f + 1980*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(216))*-5)\/sqrt(3)*-3.\nAnswer: 105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2404*m + 2409*m + 9*m**2 + 4 + 8*m**3 - 7*m**2. Determine k(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 30. Let a = p - -3. Suppose -69 = -3*s + 3. Calculate the highest common factor of a and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*v + 26*v + 983*v**4 + 5519*v**4 - 92*v - 1249*v**4 wrt v?\nAnswer: 63036*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19070 - -19122. Solve -43 = -9*y - k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-9)\/21 + 228\/42. Suppose 2*q - p*q + 6*q = 0. Let 0 + q*n**2 + 0*n + 1\/4*n**4 + 1\/4*n**3 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 426 + 1310 = -3*u, -3*u = 5*b + 1760. Let n be ((-9)\/(-15))\/((-2)\/u). Let p = n + -109. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24114 (base 7) to base 11\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4270029 microseconds?\nAnswer: 427.0029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 18*w + 89. Let s be r(6). Let i(q) = -q**3 + 15*q**2 - 6*q - 10. Let c be i(7). What is the greatest common divisor of c and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 16, -1, -33714.\nAnswer: -33714, -5, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -12. Let u = -0.12 + 0.1. Let m = 4.98 - u. What is the third biggest value in m, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111704 (base 8) to base 6\nAnswer: 451044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - v**2 + 3*v - 2. What is w(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/59469?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1112 - -1570. Let k = 520 - q. What is the remainder when 244 is divided by k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1077 - 1383 = -4*h. What are the prime factors of h?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1269\/423)\/(((-1197)\/(-12))\/7)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/411 and -40\/8631.\nAnswer: 8631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/4*(-19)\/((-3477)\/(-122))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (8 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1054 + 3170\/3. Let j(f) be the first derivative of 1 + h*f**3 + 0*f + 0*f**2. Let v(d) = -2*d**2. Give j(v(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0*y**6 + 0*y**2 - 33*y + 0*y**4 - 1\/2*y**3 + 0*y**5 + 151\/42*y**7 + 0. Find the second derivative of u(k) wrt k.\nAnswer: 3020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/290*(3 - (-959)\/(-274))?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*u = 4 - 5, 2*d + 2*u + 14 = 0. Calculate the remainder when 10 is divided by 3\/(-9) - -3 - (-2)\/d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 681.704 - 677. Round m to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*c + (-2*c + 0*c + 3*c)*(-1 + 2 - 2))*(c**2 - 5*c**2 + 3*c**2)*(0*c**2 + 0*c**2 - 5*c**2).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -92*v**2 + 1. Let s(y) = -7*y - 28. What is q(s(g))?\nAnswer: -4508*g**2 - 36064*g - 72127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -13*c**4\/12 - 3*c**2 + 2*c - 7705. Let o(d) = d**2 + 1. Let j be (-1 - 2)*2*1. Calculate j*o(s) - t(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*t - 1 - 364*t + 1450*t - 359*t + 1 - 367*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4107 = -5*s + 4*t + 5813, 4*s - 7936 = 2*t. What is the remainder when (-2)\/(-10) - s\/(-80) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-150)\/40 - 1\/4. List the prime factors of 5*(-2)\/l*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*u**2 + 8*u**2 + 13*u**2)*(2 - 2 - 2*u**2) to the form z*u**4 + h*u**2 + o + c*u + r*u**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 470*q - 469*q = 13284, -q = 5*m - 66408. List the prime factors of m.\nAnswer: 3, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*h**2 + 4*h**2 - 505*h + 77*h**5 - 79*h**5 + 0*h**4 + 0*h**4 wrt h.\nAnswer: -40*h**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149040 and 159252.\nAnswer: 85996080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 109, 99, 101, 121, 165, 239, 349?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 5*x - 16, 171*x = -3*m - 2814 + 3501 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -27\/10 (b) 3 (c) -0.1 (d) -2\/15 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 152\/(-16)) + 6\/(-240)*-26.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 5)\/(6\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/(1\/(-2)). Let t = -32 + 23. Let l be 14\/(-7) + (-16)\/t. Which is the nearest to f? (a) -2 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -263\/2, 2, -2, -9230, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281 times 17.58?\nAnswer: 75259.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*v - 331*v = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 = 8*g + 237. Let l = -50 + -25. Are l and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001100111000001111 (base 2) to base 10\nAnswer: -839183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.18 (b) 2\/2559 (c) 8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*(22372 - 44746 + 22372 - 403*q) to t + y*q and give y.\nAnswer: 1209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 8*k - 2. Suppose 5*m + 15 = 5*f - 15, 3*f = -5*m - 38. Let u be v(m). Is ((-2)\/2)\/(u\/(-65)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 125 = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933462*t + 933458*t - t**3 - 1866920*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/2*6\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 greater than or equal to -2\/777567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 103.23, -0.2, -1\/7, -2\/5, 0.05, 0.8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-76)\/231 + 124\/434 and -61\/210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 - 4*t - 3. Suppose -6*b + 208 - 76 = 0. Let l = -13 + b. Calculate the lowest common multiple of c(6) and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-4) + -2 + 5. Suppose -2*n = 5*p + 811, -m*n + n - 2*p = 1662. Is -2 - 0 - 1 - n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 334*v**3 + 225157 - 6*v - 225157.\nAnswer: 334*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22488 divided by 12.\nAnswer: -1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 3*sqrt(102) - sqrt(102) - sqrt(102))*3 - (5*-1*sqrt(102) + sqrt(102)))\/(3*sqrt(384) - 2*sqrt(6)*-2)*-4.\nAnswer: 8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -12) + -4 + (4 + -2 - 24).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173839*c*q*x**2 - 14*c*q*x - c*q - 12*c*x**2 + 4*c*x + 3*q*x - 63*q - 6*x wrt x.\nAnswer: -347678*c*q - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.765 - -18.391. Round v to one decimal place.\nAnswer: -21.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/(950\/12520)*(-55)\/(-132) - -5. Solve -4\/3*w**2 - b*w - 6724\/3 = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 1196428*w**2 - 7178424*w.\nAnswer: -4*w*(w + 6)*(w + 299101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1113 at most as big as -1209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - c + 115516 = -137552, 0 = -5*z + 3*c + 421766. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.52656 litres to millilitres.\nAnswer: 6526.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3386005966 to the nearest integer?\nAnswer: 58189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96571, 193136, 289701, 386266?\nAnswer: 482831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1848 and 1272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*n + 8, 2*n + 28 = -2*p - 3*p. Let l = p - -4. Are l and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -452 + -4?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 2, f: 1, g: 1, a: 8, b: 1}. What is prob of picking 2 m, 1 a, and 1 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0.04, 1\/6, -5, 0.3, 28?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/7 + 178*y**3\/7 - 660*y**2 + 32608*y\/7 - 48128\/7 = 0.\nAnswer: 2, 8, 32, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 - 4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**37\/((n**29\/n)\/n*n*n**(-34)\/n*n) assuming n is positive.\nAnswer: n**191","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2 and -83\/266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-3 - (-4 + 2 - -10)) - -64?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.405, 1\/7, -8, 4\/3 in decreasing order.\nAnswer: 4\/3, 1\/7, -0.405, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747230?\nAnswer: 2, 5, 11, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/18 + 7 - -8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 + -0.1. Let q = -67.041 - -67. Let x = o + q. Round x to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and -1639812120.44.\nAnswer: -1639812110.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 5*u**4 + 7*u**3 + 5*u**2 - 6*u.\nAnswer: -u*(u - 1)**2*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*w + 861 = -13*w - 48*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1558*a**2 + 802*a**2 + 5131*a**2.\nAnswer: 7491*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**7\/168 + 19*t**6\/720 - 4*t**5\/15 + 3*t**2. Let x(z) be the third derivative of u(z). What is the derivative of x(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -70. Let f(w) = 6*w**2 + 11*w - 14*w - a*w**2. Let h(o) = 10*o**2 + 16*o. Give 16*f(k) + 3*h(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -566, 917, 3 in descending order.\nAnswer: 917, 3, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 9. Let w(j) = -5*j + 4*j - 7 - 3. Let o be w(r). Solve -l - o = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23675301703 and -5960.3.\nAnswer: -23675307663.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 - 7*n + 7. Let u(s) = -94*s - 842. Let f be u(-9). Give i(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -0.5 (c) -0.4 (d) 2.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.579.\nAnswer: -2.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/54)\/((-1552)\/36 + 43).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 945833 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 74*w**3 + 2*w**2 + 15*w - 20. Let x be l(5). Is 5\/40 - x\/(-40) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n\/n**(-1\/13))\/n)\/n)\/(n*n**6) assuming n is positive.\nAnswer: n**(-77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -821 + 120. Let b = -495 - n. List the prime factors of b.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let p be x(-1). Let s be -6*2\/(1 - p). Let z(k) = k**2 + 5*k + 7. What are the prime factors of z(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:16 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/80*16\/(-42))\/(6\/(-27)). Let a be ((-28)\/24)\/7*-2. Put 6, -4, a, m in ascending order.\nAnswer: -4, a, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 12*m - 18*m**3 + 43 - 87 - 50*m + 20*m**3 to the form f + j*m + p*m**2 + s*m**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1118117 and 15743.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -121247185\nAnswer: -121247182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/6 + -4)*-15. Suppose 0 = 4*i - 3*z - 50 - 91, 220 = 5*i + c*z. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-6)\/60 - 622\/(-10). Let j be ((-18)\/c)\/((-1)\/7). Solve -j*q - 8 + 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 3*b**2 - b**2 + (3 - 3 + 5)*(0*b**2 + 0*b**2 + 2*b**2))*(2 - b - 2).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -742b08 (base 13) to base 15.\nAnswer: -38abdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.805 and -857?\nAnswer: -2403.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 + 4 - 7) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2747 + -2659. Solve -d + 28 = 12*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 841*g**3 - 883*g**3 + 1722*g**3 - g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, b: 2, j: 1, g: 5, z: 4, i: 1}. What is prob of sequence gzbj?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q + 5016 - 427 = -1294. Which is the third smallest value? (a) 3 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 less than 52609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483802649?\nAnswer: 3, 7, 23552423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*w + 5*z, -60*z - 12 = 3*w - 65*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/120 + p**5\/10 - 7*p**4\/24 - p**3\/6 + 5*p**2. What is c(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10021, -10013, -10005, -9997?\nAnswer: -9989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/120 - d**5\/12 + d**4\/8 + d**3\/2 + 9*d**2. Determine p(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2 + 4, 5*o + 21 = -2*i. Let p(m) = -5*m + 6. Let a(j) = -11*j + 13. Calculate i*p(q) + 6*a(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.007, -0.1, -1\/3, 1301, -0.06?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 54354*q + 53019*q + 3.\nAnswer: -1335*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1695153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 20*d - 9. Let y(f) = 2*f**2 - 7*f - 3. Let k(w) = 3*q(w) - 8*y(w). Let o be k(-2). Suppose -34 + o = -3*b. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132624 + 34611 = -563*a + 3212*a for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}