{"text":"Question: Solve -44 = 4*l - 3*z, -137*l = -135*l + 4*z - 66 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wjwj when four letters picked without replacement from {w: 1, j: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-4) - -4)*4. Let d be (a\/20)\/((-2)\/(-380)). Find the second derivative of -9*j**2 - 3*j**2 + 9*j + d - 95 wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -2573\/157?\nAnswer: -2573\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11109769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-6)*(-39 + 45) - -5. Let j(y) = y**3 - 12*y**2 + 2*y - 9. Let p be j(12). Calculate the highest common divisor of z and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6325277 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -359*z**3 + z**2 + 578*z**3 + 4 + 1 - 302*z**3 in the form m + q*z**3 + j*z + w*z**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11805394 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r**(2\/5)*r))\/r)\/(r\/r**(-7)))**(4\/17) assuming r is positive.\nAnswer: r**(-188\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(2 + 2 - 5)*(2*l - 4*l - 3*l + l + 0*l + l + (l - 4*l + 4*l)*(-2 - 3 + 4)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 523950544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3267935 to the power of 1\/2, to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.36 + -1.36. Let i = -2.27 - -16.14. Let d = -14 + i. Which is the third biggest value?  (a) p  (b) d  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5118653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 4)*(-9 + 2*m + 9)*(-6*m**3 + 5*m**3 - 1 + 0).\nAnswer: 4*m**4 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 66 = 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 - 0. Let k be 0 + g*2\/(-3). Let w = k - -6. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -5*w - 3, 28832*w = 5*q + 28833*w - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - 4*z - 2. Let c be t(4). Let d = c + 71. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p = -2*p + 48 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, i: 1, w: 2}. Give prob of sequence yww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -184b9 + -77?\nAnswer: -18563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -6*s + 47. Let w(n) = -2*n**3 + 6*n**2 + n - 3. Let p be w(3). What are the prime factors of k(p)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6 + (-94)\/16 + (-6354)\/62160 and 155\/444?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*605.5.\nAnswer: 302.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 192282820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 19 = -8*c. Let m = -164 + c. Let v = m + 238. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47893819 is divided by 2573?\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - 3)*15284\/(-36). Let g = 425 - a. Factor g*w**2 - 2\/9*w**3 + 0 - 2\/9*w.\nAnswer: -2*w*(w - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33632 + -33631.9. What is the third smallest value in 1\/2, 15, 2\/89, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -14*j - 11*j - 13*j + 46*j - 14*j - 50. What is k(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 11:02 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 310833715 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*2\/12*-14. Let a = -2 - n. Let v(r) = 7*r - 7. Let m(k) = -2*k + 0*k - 6 + 8*k + 0*k. Calculate a*v(y) - 6*m(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 65212816 and 3836048.\nAnswer: 65212816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00098186843 rounded to seven dps?\nAnswer: -0.0009819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-826)\/42 + (-12)\/(-2)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 a factor of 1834551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 9547956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-4) + -3*(-5)\/30. Suppose i = 12*q - 4*q + 32. Which is the nearest to -2?  (a) q  (b) 1\/6  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.25, -4, 41\/2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/((-72)\/51) + 12 + -7.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01136249 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 230*q + 1986. Determine l(-9).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 25089 divided by -16?\nAnswer: -25089\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 1755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 1. Let l(m) = 24*m**2 - 32. Let x(b) = -32*i(b) + l(b). Let c(t) = 130216*t - 130216*t - 3*t**2. Calculate x(c(u)).\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 302, -757, -2455 in increasing order.\nAnswer: -2455, -757, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/21922935 and 139\/1451850.\nAnswer: 219229350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*j - 62*j + 16*j + 21*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 + 909.\nAnswer: 909.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -47 and -3462.12?\nAnswer: 162719.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14, 72, 170, 308, 486?\n\"Answer: 20*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/140*-8*(-25)\/(-10)*14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/(-3) - -8)*12\/240*-258?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 minus -3330964837507?\nAnswer: 3330964837514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**2 + 112*c**3 + 61*c**3 - 5*c**2 + 8*c**2 - 176*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 84153*x + 505135. What is b(-6)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 PM and 10:11 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 3 + 1948*b**3 + 1919*b**3 - 3811*b**3.\nAnswer: 56*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9284 = -3*y + 8*s, -4*s - 1447 = -y + 1645. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 0 - 1 + 5*a**3 - a**3 - 3*a**3 + a**2. Let b be h(2). Suppose -r - b = -4*d, 4*d - 4*r + 8 = d. Solve -d*q = 4*y + 8, 7*y - 2*q = 3*y + 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1275374.\nAnswer: 2, 17, 37511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/16*50\/(-12)*(12\/(-30))\/(-1)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 2*r = 2*r + 11, -23 = -3*y + 5*r. Let m(v) = v**2 - 2*v - 66. Let c be m(0). Let k = c + 65. Sort 1\/2, k, y.\nAnswer: k, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 10*c - 6. Let l be h(5). Let f = -356 + 359. List the prime factors of 77\/l*(-3)\/(f\/(-40)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 131 + -54. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(4*4\/32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 103213 + -11461?\nAnswer: 81642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -558, -2065, -4522, -7923, -12262, -17533?\nAnswer: -23730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/7778 and 33\/112781?\nAnswer: 225562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11378 + -6617. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 33. Let n(g) = g**3 + 7*g**2 - 10*g - 14. Let b be n(-8). Suppose -b*t + d = t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -157*s + 14 + 5*s**2 + 155*s + 0*s**2 - 4*s**2 - 31. Let z(g) = -2*g**2 + 2*g + 17. Determine -4*r(k) - 3*z(k).\nAnswer: 2*k**2 + 2*k + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 54829000 rounded to the nearest one hundred thousand?\nAnswer: 54800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 121161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*m = -2, -3*a - a - 3*m = -14. Let y be (-1)\/(-1) - (a - 1). Let x be y*(3\/6 - 1). Solve x*w = 4*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -447, -451, -449, -435, -403, -347, -261, -139?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 377175*i**2 + 1 + 2 - 377157*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-692100)\/80745*7\/(-24)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*1\/8 - (-189)\/(-24). Let q(h) = h**2 + 5*h. Let v be q(o). Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 61952458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-25)\/9 - (3416\/20313 - (-8)\/148). Sort -26, b, 4, -15, 8.\nAnswer: -26, -15, b, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (110\/5)\/(1 - 0). Let n be (11\/d)\/(1\/382). Suppose -4*o + 4*r = 5*r - n, o - 47 = -r. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -181 or -198?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/2 + 973668\/328 + -8 + 0. Is g < 2961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7\/36 + -4\/9. Suppose 0*f = 12*f + 24. Put b, -2\/3, f in descending order.\nAnswer: b, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 + 4*p + 6. Suppose 10 = 5*v, 4*d + 0 = -5*v + 2. Let c be l(d). Solve -4*u + c*m - 24 = 0, -m - 8 = 4*u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 15*h + 20. Suppose 0*y = y - 9. What is the remainder when ((-252)\/2)\/6*h is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 9*z**3 + 31*z**2 + 19*z - 14. Determine l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*q = -63*q + 66 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -555.5 + 641. Let i = -610515.557 - -610601.0569603. Let k = i - z. What is k rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12200012 and 396.\nAnswer: 109800108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -78709, -78710, -78711?\n\"Answer: -a - 78708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 695 + 727. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002076 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttfgfftfgt. What is prob of sequence gg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 28\/303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -30406633 + 12?\nAnswer: -30406621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2 + 290*h + 1234. Calculate l(101).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 13*w + 18. Let z(t) = 23*t - 39 - 60*t - 14. Let v(g) = -17*r(g) - 6*z(g). Calculate v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 - 12. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of -j**6\/51 - 32*j**5\/85 - 93*j**4\/34 - 484*j**3\/51 - 284*j**2\/17 - 240*j\/17 + 10380. Find t, given that u(t) = 0.\nAnswer: -6, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-9 + (-91)\/(-14)). What is the third biggest value in o, -0.1, 0.064, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**5 + 34948*f**4\/7 - 1922118*f**3\/7 - 1470712*f**2\/7 + 638648*f - 1112640\/7 = 0. What is f?\nAnswer: -2, 2\/7, 1, 57, 2440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -687 divided by -137358?\nAnswer: 229\/45786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 286 by -330.\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*m = -30 - 522 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 549212516?\nAnswer: 2, 127, 1081127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.059, -7, 11\/2, 22\/3 in ascending order.\nAnswer: -7, 0.059, 11\/2, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 767398 is divided by 1685.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-400)\/50 - -49*6879. Suppose 11*m - 42*m + j = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 768 is divided by 339.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1439402380 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12493561 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (60\/(-24))\/((-2)\/36). Suppose 2*g + 89 = 5*l + 4*g, 3*l + 4*g = v. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 686\/1 + 30\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 5 = 2*u, 82*u = -2*j + 93*u - 120 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from {c: 7, p: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, b: 3, a: 7, j: 5}. Give prob of picking 2 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -44*5\/(-100) + (-1)\/5. Solve -m = 3, 5 = -5*n - i*m - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 times 24520.4\nAnswer: -1961.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 0*p**2 - 4\/5 - 2\/5*p**3 + 6\/5*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.51908 times 0.5?\nAnswer: 1.25954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -172155 - 412?\nAnswer: -172567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(102) + sqrt(102))*5 + (2*((sqrt(102) + 3*sqrt(102) - sqrt(102) - sqrt(102)) + sqrt(102) - sqrt(102)) - sqrt(102)))\/(-4*sqrt(3456)*-4))**2.\nAnswer: 833\/147456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j + 0*j + 0*j + 60 - 6*j.\nAnswer: -5*j + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-32)\/420)*7696\/4810.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 631144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + s + 1 + (-21 + 4*s + 21)*(455 - 1530 + 625).\nAnswer: -1799*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*d - 21659 = -71*d + 2*q, 4*q + 4 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*i - 0*i. Let z(m) = m**3 + 4*m**2 - 5*m - 6. Let y be z(-4). What is the highest common divisor of i and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29084606 to the power of 1\/2, to the nearest integer?\nAnswer: 5393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rmx when three letters picked without replacement from exmlmxedr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*z + 94*z = -6770. Let y = z - 677. Solve y = -2*p - 5*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -978, -3\/2, -5, -212, -2.\nAnswer: -978, -212, -5, -2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69535 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/5 + 348\/30. Let q be (-3)\/(-9) - 7\/w. Which is the second smallest value?  (a) q  (b) -2  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 94589, 189179, 283769, 378359, 472949, 567539?\n\"Answer: 94590*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-77) - (-258)\/1056.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-5 + (-4 + 4 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s = s - 2, -20 - 8 = -3*f + s for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -0 + 8. Let k(b) = -b**3 - 5*b**2 + 4. What is the lowest common multiple of k(-5) and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 0) + 412 + -389?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.09 * 0.1449\nAnswer: -0.013041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 138 + -81. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h - 1. Let p(z) = 7*z**2 - 2*z - 5. Let x(i) = -6*i**2 - 14 - i + 18 + 2*i. Let j(n) = -5*p(n) - 6*x(n). Give -3*d(l) - j(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166674.\nAnswer: 2, 3, 27779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -38 + 43. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 6 = -4*z - 3*k, 0 = -z - 2*k - 8. What is the second derivative of j**2 + 2*j**2 + z*j**2 - j wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - 4 + 4)*(-4*a + 2*a - 1492 + 1544)*((-2*a + 4*a + 0*a)*(-1 + 1 + a) - 2*a**2 + 3*a**2 - 2*a**2 + 0*a**2 + 5*a**2 - a**2).\nAnswer: 10*a**4 - 260*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18)\/(-9)*182\/4. Suppose 0 = c - q + 6*q - 45, -3*c = 4*q - d. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1201088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1074 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (h**2 + h + 158*h**2 + 2361*h**2)*(-4*h - h + 2*h) to s + c*h + i*h**2 + l*h**3 and give l.\nAnswer: -7560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(5 + (0 + sqrt(612) + sqrt(612) + 3 - sqrt(612))) + 5 + -2)**2.\nAnswer: 2580*sqrt(17) + 17149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -57937590 divided by 90?\nAnswer: -643751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 0*j = 9. Suppose j*p = 2*p + 3. Suppose g - 3 - 3 = -3*k, p*g + 4*k - 23 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and -0.0021?\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 38493244 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4661 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 plus -12.1?\nAnswer: 358.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -162*i**3*v - 7*i**3 + 3591*i**2*v - 2*i**2 + 18*i*v - 2906*v + 760 wrt i.\nAnswer: -972*i*v - 42*i + 7182*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 875613 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 18233, 36467, 54701, 72935, 91169?\n\"Answer: 18234*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 6:43 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*f**2*x - 8847226*f**2 - 954326*f*x wrt x?\nAnswer: 3*f**2 - 954326*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*r = 37*r + 363. Suppose -a + 5*a = 280. Let x = a + r. What is the remainder when 69 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 1, -13, -6, -2 in descending order.\nAnswer: 1, -2, -6, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3372621, -3372623, -3372625, -3372627?\nAnswer: -3372629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2340 divided by 780?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14 + 84*o**4 + 21*o**4 + 27 with respect to o.\nAnswer: 420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/414 and -41\/72?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -391, -8, 2\/3, 1\/377?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**2\/2 - 11573*r\/2 + 23138 = 0.\nAnswer: 4, 11569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16954 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*n - 5*z, -7*z = 3*n + 2*z + 15. Solve n = s + u, s - 10 = 3*u - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 4*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v**2 - 6*v + 1. Let s(z) = -7*z**2 - 13*z + 1. Give -9*h(p) + 4*s(p).\nAnswer: -p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 8*t**2 + 15*t - 1. Calculate l(-8).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-30)\/(-8) - 3)\/(1\/152). Let u = b + -5. Calculate the remainder when u is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10081 - 4513. What are the prime factors of ((-6)\/4)\/(-4*6\/s)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16766 and 404?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-54)\/15*(70\/(-84))\/(68\/51)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b**3 + 19*b + 170. What are the prime factors of r(-8)?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/10 + ((-5249052)\/(-20))\/(-3 + 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4\/11 + 6280*s**3\/11 + 4929800*s**2\/11.\nAnswer: 2*s**2*(s + 1570)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 45554257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -3*x + 4*d, -14*d - 6*d + 23 = -5*x - 18*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225531 = -211*o + 73878. Calculate the highest common factor of o and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 924 divided by -12?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -404*x - 428*x - 568*x + 1399*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 744422044547\/176 + -4229622807. Let y = 47901 - j. What is the common denominator of y and 23\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + -206?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 23379423 to the power of 1\/2, to the nearest integer?\nAnswer: 4835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 141 - (-4)\/(-2). Suppose 9*i = -11*i + 6180. Let x = -292 + i. Calculate the highest common factor of w and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/1248*12 + 978\/104 + -3?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2005 (base 10) to base 14.\nAnswer: -a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2357 is divided by 44.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1822*a - 1824*a + 58. Solve 0 = -27*x + a*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -440 + 671. Let b(k) = -k**3 + 9*k**2 - 3*k + 13. Let m be b(9). Let g be (-5 + 2)\/(2\/m). What is the greatest common factor of g and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 divided by 1324639.\nAnswer: 17\/1324639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23610907 is divided by 4607?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89162.\nAnswer: 2, 109, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of 11*p**4\/24 - p**3\/6 - 19*p**2\/2 + 15. Let x(j) be the second derivative of u(j). What is x(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*r = -134*r - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.63 or -1442774?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 5:01 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1016100 or -5.3?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -72 + 119. Calculate the remainder when 183 is divided by g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 14*w + 2. Let y be n(6). Let c = 145 + y. Solve 4*z - 3 = -4*m - c, 5*z = -25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102\/(-1224)*((-6)\/(-10))\/((-2)\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 3*q - 8*q + 15, -4*t - 12 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -4*b**3\/3 - 6*b + 2. Let v be w(-6). Round v to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 5*t. Let h(f) = 414858*f. Determine h(n(i)).\nAnswer: 2074290*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.046 - 0.016. Which is the second biggest value?  (a) y  (b) -3  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 884 and 32059586.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(2\/25)\/o*o)*o**(-14))**29)**(-27) assuming o is positive.\nAnswer: o**(256041\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2, -24, -74, -154, -270?\n\"Answer: -o**3 - 6*o**2 - o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdh when three letters picked without replacement from {d: 3, o: 7, p: 1, h: 7, z: 1}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -8, 641, 72\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000161977 to six dps.\nAnswer: 0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(2\/3)*k))\/(k**(-1\/29)\/k) assuming k is positive.\nAnswer: k**(32\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2 - 16 = 0. Let o = 19 - v. Let b(r) = 12*r**2 - 1. Is b(o) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002440627 rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87 (base 11) to base 15.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 + 4*m + 6. Let g be j(-3). Suppose -162 = -u - n - g*n, 4*u = -5*n + 692. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.338 rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 7*r + 17. Let u(t) = -20*t - 50. Let o(s) = -11*b(s) - 4*u(s). What is the units digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 3*r + 19 = -r, j - 1 = -3*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 - 14. Let l be (-3 - -6)\/(1 - 4\/(-8)). Solve -2*b + 0*y + 4*y - 6 = 0, l*b + w*y - 21 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j - 5. What is t(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t - 1. Let r be (-9)\/3 - 1*-1. Let p(s) = -3*s + 13. Let d(b) = r*a(b) + p(b). Calculate the remainder when 10 is divided by d(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9532.7 to the nearest 10.\nAnswer: -9530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 2*f**2 - f - 3. What is x(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-1\/4))**(-1\/6)\/((a\/a**2)\/(a*a**(-1)*a)) assuming a is positive.\nAnswer: a**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 715?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -102 + 50. Let g = -50 - k. Let o = -0.8 - 0.2. Which is the nearest to o?  (a) g  (b) 5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -872 - 17*i + 15*i + 872. Let x(v) = v**2 - v. Let t be x(1). Let g(o) = 2*o - 11*o + t*o. Determine f(g(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41 + 23. Let z be 18\/4*4096\/(-96). Calculate the smallest common multiple of (3\/2 + 0)\/(v\/z) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x\/x**15)\/x)**42)**45 assuming x is positive.\nAnswer: x**(-26460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 7 = -2*x - 9, -3*x - 27 = 2*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -495 divided by -5?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w**3 + 60*w**2 + 62*w. Let r be y(31). Factor 0 + 0*b**3 + 0*b + r*b**2 + 0*b**4 - 2\/5*b**5.\nAnswer: -2*b**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6740922 times 0.1?\nAnswer: 674092.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19451*w - 8 + 5737*w - 11 + 19 to n + u*w and give u.\nAnswer: -13714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -98604, -197145, -295686, -394227, -492768, -591309?\n\"Answer: -98541*r - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42\/((-122)\/(-456) + (-26)\/104) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 - -3)*(-1)\/(-2). Let m be c\/(-2 + (3 - 2)). Let g(f) = -4*f - 42. Let b be g(-11). Sort 2\/9, m, b in increasing order.\nAnswer: m, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.8 - 117.8. Let v = r - -128.4. What is v rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 - -50. Let u = g + 94. Let j = 77 - u. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o**3 - 49*o**2 - 15*o - 63. What is the thousands digit of t(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2312010013 (base 4) to base 3.\nAnswer: -1101212221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3032 divided by 6.\nAnswer: 1516\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 12, o: 3}. Give prob of picking 3 y.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -24  (b) -5  (c) 13\/4  (d) -4  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5*r = -3*d + 146, 193 = 4*d + 5*r. Let o be (-152)\/d*3 + (-2)\/14. Let p be (1*2\/(-4))\/o. What is the third biggest value in 2, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-38) - (-2412)\/171. What is the highest common factor of q and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -671*s**3 - 627 wrt s.\nAnswer: -2013*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -i**6\/150 - 194*i**5\/75 + 13*i**4\/2 + 43*i**2. Factor f(y).\nAnswer: -4*y*(y - 1)*(y + 195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 0*j + 2*j - 4 = 0, 0 = 5*g + 2*j - 8. Let q(r) = -r**3 + 3 + 7 + 5 + 12*r**2 - 3*r - 2*r**g. List the prime factors of q(7).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/3144 and 11\/9?\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 903988223.\nAnswer: 903988223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + t)*(1297*t**2 - 229*t**2 - 137*t**2 + 2334*t**2).\nAnswer: 3265*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3366 and 2?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 374 divide 50383036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -16*g**3 - 5*g**2 - 39*g - 129. Does 18 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43782980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17.61 + -17. Let x = o - 0.65. Round x to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 38 = -2*l, 34 = 5*d + l - 27. Suppose -10*b + d*b - 12 = 0. Calculate the remainder when 9 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1116 - -1.1116. Suppose 0 = 20*o + 15 + 5. Which is the third smallest value?  (a) 0.07  (b) l  (c) o  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40211425 and 1225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 88244\/397179 - -2\/44131. Factor 0*k**3 - v*k + 1\/9*k**4 + 0 - 1\/3*k**2.\nAnswer: k*(k - 2)*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15155207 != 15155204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3477 is divided by 718.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*s + 33500 = -4640. What are the prime factors of s?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a25f + -2f?\nAnswer: a230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(784) + -4*(sqrt(784) - (sqrt(784)*3 + sqrt(784)) - sqrt(784)))*6)\/(sqrt(49)\/(sqrt(7)*1) - -2*sqrt(448)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15.8 + 16. Put 1, i, -1\/4, -2\/19 in descending order.\nAnswer: 1, i, -2\/19, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3)\/(h**(3\/13)\/h)*h*h*(h\/(h*h\/(h\/(h*h**2*h)*h)*h))\/h*h\/(h*h*((h\/(h\/h**(-14)))\/h)\/h*h) assuming h is positive.\nAnswer: h**(114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l + 3022588 - 3022588.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hnhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.79267ug in milligrams?\nAnswer: 0.06679267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 1\/2  (c) 16  (d) 0.05  (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52 and 14443.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**4\/6 + 2*d**3 + 49*d**2\/3 - 38*d + 119\/6 = 0. Calculate d.\nAnswer: -7, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from scwsppppcwsp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 19 + 1 - (-39 - -29 - -17)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -272a8 (base 16) to base 11.\nAnswer: -aa590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15.051 - 0.051. Let o = 15.4 - x. What is the biggest value in 0.06, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a day in seconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 1624*t - 1 + 0 + 12522*t.\nAnswer: 10898*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -334068660 divided by 169578?\nAnswer: -1970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6761.31 micrograms?\nAnswer: 0.00000676131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.04 + 6.04. Let k = 33.19 + -30.19. Which is the third smallest value?  (a) y  (b) -2\/11  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*164\/4*-1 + 2. What is the tens digit of ((394\/5)\/1)\/((-16)\/f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383858 is divided by 146.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*c + 24*c = -12. Let x be 3 - 2\/((-6)\/(-3)). Solve -x*b - 8 = 0, g + b + c*b = -13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -536 and -1610\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -4. Suppose n*o - o = 6. Suppose 0 = 4*m - o + 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 760, 2941, 6588, 11713, 18328, 26445?\n\"Answer: 2*w**3 + 721*w**2 + 4*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 6*l + 100. Suppose 2*y = -5*j - l, -5*j = -4*j + y + 8. Suppose -5*w - 3*k + k = 0, -5*k + 21 = 2*w. Sort w, -7, j.\nAnswer: -7, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - z = d - 93, -2*z + 442 = 5*d. Suppose 2*q - d = -2. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 551 and 684?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + 5*z. Let m be f(-6). Suppose 5 = -3*p - 2*s - 3*s, -3*s + m = 0. Is p > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 20 = -g, 4*g = -3*s + 2*s + 12. Let z be (3 + -2)*(-12)\/s. What is the first derivative of z*v**4 - 5*v**4 + 7 - 4 wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 783.7086 millilitres to litres.\nAnswer: 0.7837086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 9, k: 5}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -7, -426, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6334 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 13*c**2 - 11*c - 5. Let a be x(13). Let s = a - -597\/4. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -200 + -113?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.1  (b) -0.1  (c) 8  (d) -5\/3  (e) -346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00088977595 to seven decimal places.\nAnswer: 0.0008898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrxrrrrrrxrrrrrr. What is prob of sequence xr?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-2*sqrt(1225) + sqrt(1225) - sqrt(1225) - (sqrt(1600)*-2 + sqrt(1600) - sqrt(25)))\/(((1*sqrt(175))\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22.476 - 1.524. What is the biggest value in 4, w, -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 98 + -100 + -22 + 6 - (30 + -1)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {i: 2, e: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 33 - 9 = 0. Calculate the least common multiple of f and (-1)\/(-3) - (-32)\/3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2271119, -9084494, -20440125, -36338012, -56778155?\nAnswer: -81760554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 173907 and 30397?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -37 + 10 - (-8 - 5). What is the closest to -2 in m, 2\/25, -2\/27, 0.1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/87 and -43\/2274.\nAnswer: 65946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -947401*h - 16 + 16 + 947397*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g + 19. Suppose -3*f + 2*f - 2*l = 8, -5*f - 40 = 4*l. List the prime factors of q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 2:01 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 280 + -279. Put -3\/4, j, -31, -1 in decreasing order.\nAnswer: j, -3\/4, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -309 - -311. Solve -6*f = -v*f + 16, -2*d + 2*f = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*g + 6*g - 12*g + 2*g in the form r + m*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-4)\/112*(-4 - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*i = 8, -5*y - 3*i + 16 = 0. Suppose -5*b = 4*f - 4, y*f = -5*b + 2*b + 4. Suppose -t - 2*d + 395 = 0, 0 = -t + b*d - 65 + 484. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -14\/5  (b) -0.05  (c) -1\/9  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 3. Suppose 5*r = -x*g + 33, -5*g + 4*r = r - 67. Let k = -3 + g. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111115 - 325715 = -29*g. Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17.4 - -35.9. Let n = w + -14.5. What is the smallest value in n, -32, 4\/7, 0.2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1159\/689 - -81\/53. Put s, -4, -3, -2\/131, 0.3 in increasing order.\nAnswer: -4, -3, s, -2\/131, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 7:41 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 438 - 415. Calculate the remainder when 42 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -3\/9941?\nAnswer: -3\/9941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + -6 + 4\/2 - -1928. What is the hundreds digit of k - (9 + 2 + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**2 + 32255*j + 38381990 = 0. Calculate j.\nAnswer: -4877, -1574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/9 - 1212*a**2 - 29120*a\/3 - 174784\/9.\nAnswer: 2*(a - 5462)*(a + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2244\/7 + 51598\/161. Is 0.0912 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 8*c**2 - 12*c + 12. Calculate the remainder when 46 is divided by v(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 2\/23  (b) -1\/4  (c) 0  (d) -0.57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -318.99999749 - -319. Round t to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -7  (b) -1\/7  (c) 0.064  (d) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 17 = 5*a, a + 2*w = -w - 17. Sort a, 3, 10 in descending order.\nAnswer: 10, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 5*b - 18. What is the least common multiple of 9 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*p + 79 = 22*p - 4*r, p = r + 26. Calculate the greatest common factor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + -20. Let s = -20.1 - v. Which is the second biggest value?  (a) -5  (b) -3  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*b = -3*s + 129*b + 21, 3*s + 2*b - 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (259*(-18)\/378 - 27)\/(3 - (-16)\/(-6)).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -13 - (5 - -1)\/(-2). Let q be i*(-2 + 2 + -1). Is ((-14)\/(-5))\/(4\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/(-136))\/((-94)\/8789)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**11)\/(l\/(l\/l**(15\/7)*l*l))*(l\/l**(-10))\/((l\/l**11)\/l) assuming l is positive.\nAnswer: l**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 103390 to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 3*d = -19, 0 = 5*d + 27 - 52 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1260445 and 15.\nAnswer: 3781335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of 755*x**3\/6 + 587*x**2\/2 + 88*x + 5. What is the derivative of c(y) wrt y?\nAnswer: 755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123231522 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9408 and 192?\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118 + 78*x**2 + 50714031*x**3 + 118 - 50714029*x**3.\nAnswer: 2*x**3 + 78*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -92 - 3*u**2 + 4*u**2 + 25*u - 6*u + 0*u**2.\nAnswer: (u - 4)*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69376 divided by -34688.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -732b8 + -63?\nAnswer: -7335b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + j + 18, -3*j + 18 = 9*q - 10*q. Let v(o) = 31*o - 282. Determine v(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 646146 is divided by 3762.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.146 + 2.5?\nAnswer: 2.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64 divided by -184471.\nAnswer: 64\/184471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from bbbpppppbppppbpppb?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3341*i + 392463 = -2144*i - 101187 for i.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p*p\/(p**6\/p)*p*p)\/(p*p*p**(-11)*p))\/(p**(1\/2)\/(p**7\/p)))**(-37) assuming p is positive.\nAnswer: p**(-999\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 16*t + 22. Let i(g) = -5*g - 7. Let q(m) = -14*i(m) - 4*w(m). Let u(z) = 2*z + 3. Let b(o) = -3*q(o) + 10*u(o). Let r(a) = -4*a**2. Give r(b(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 177*i + 853*i + 37*i - 115*i.\nAnswer: 952*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -4*k - 3. Let a be h(-2). Let p = a + -12. Let x = p - -9. Sort x, -1\/2, -3 in increasing order.\nAnswer: -3, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i + 13*y + 161 = 0, 323837 - 323850 = y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13820, 27635, 41452, 55271, 69092, 82915, 96740?\nAnswer: 110567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 86\/(71\/((-7100)\/(-120)))*((-36)\/5)\/(-4)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 6*j. Let c be t(-1). Let d(b) be the second derivative of b**4\/12 + b**3 + b**2\/2 - 2*b. Give d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/(-9))\/(76\/285). Suppose 3*w - 5*z + o = 0, 2*w - z = 2*z - 2. Solve a + w*m = -20, 3*m = 7*m + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2 = 1. Suppose -y*w = 2*n - w - 6, 5*w - 17 = -4*n. What is the units digit of (n + -1)\/(-1) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 20 = -4*v + d, 4*v - 2*d = 18. Let t be 168\/(-70) - v\/(-10). Let z be t\/9 - (-245)\/252. Which is the nearest to -0.2?  (a) z  (b) -2\/21  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 + 25. Let j be (816\/(-60))\/(g\/(-10)). Round j to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -474.04 - 12.\nAnswer: -486.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s - 12. Let n be p(8). Suppose n*i = -46 + 154. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1685 - -511. What are the prime factors of h?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3 = -0. Suppose -z*y - y = -96. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 572128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 838416216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/3 and (3 - 7) + (-1076)\/(-200).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 7:38 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.09672, -0.1, 0.1.\nAnswer: -0.1, -0.09672, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/18283 and -55\/39.\nAnswer: 713037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14392.\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 4*t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 866*o + 13986 + 17382 - 1305 = -33155 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1615 + -1042. Let k = 576 - i. Which is the nearest to 28?  (a) -5  (b) 0.5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -65604, -131305, -197030, -262779, -328552, -394349, -460170?\n\"Answer: -12*l**2 - 65665*l + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, m: 7}. What is prob of sequence myyy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -36191, -71399, -106609, -141821, -177035?\n\"Answer: -v**2 - 35205*v - 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 9, 3*k + 2*k + 1775 = 5*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 356 - 184. Let a = -76 + u. Calculate the highest common divisor of 108 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1936312919?\nAnswer: 29, 43, 367, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007536213 to 4 dps.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 84589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 0*p - 5*p + 1 + 3*p. Suppose -4*f + f = 5*a + 12, a + 33 = -4*f. Let g be ((-3)\/f)\/((-1)\/(-9)). What is k(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (-13 - 7 - -23 - -19)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-5))\/(12 + -11). Which is the second smallest value?  (a) -2\/41  (b) i  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 14 = 4*w, -4*f + 6*f + 10 = 2*w. Suppose -4*m + 3612 = -0*m + 4*r, -2*r = -w*m + 1822. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**4 - 1 - 4*p**2 - 114*p**3 + 73*p**3 + 3*p**2 as j + x*p**4 + b*p + n*p**3 + i*p**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/18*(-1 - 19 - (-1764)\/88).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8463727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-40)*28359\/3699?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 + 4802*f - 176276. Calculate b(37).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 29*d + 2 - 2. Let h(u) = u**2. Let p(o) = o**2. Let i be ((-42)\/12 + 4)*(-12)\/2. Let c(g) = i*p(g) + 4*h(g). Give c(b(l)).\nAnswer: 841*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/13?  (a) 5\/4566  (b) 15  (c) -3\/7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/7323660 and 31\/300150.\nAnswer: 36618300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 5 = 2*y. Suppose 1999*g - 2000*g - 23 = 0. Put -5, g, y, 0 in descending order.\nAnswer: 0, y, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50 * -2274\nAnswer: -113700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -314.3 - -314. What is the closest to -1 in l, 3\/2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4329 - 14?\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1230808, 2461618, 3692428, 4923238, 6154048, 7384858?\n\"Answer: 1230810*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 10d + -1e19?\nAnswer: -1d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 9:31 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3421927382.\nAnswer: 2, 17, 100644923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 divided by -8304?\nAnswer: -13\/4152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -82, 4, 1, -1 in ascending order.\nAnswer: -82, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-294)\/(-56))\/(-7))\/((-1)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -124.\nAnswer: 5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 95\/9 + -31\/3. Let w = 75 - 301. Let s = 225.9 + w. What is the second biggest value in v, 1, s, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5*r = 2*h + 42, -2*h - 54 = -5*r. Let g = 30 - r. Which is smaller: 19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -3\/5, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30256 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tdddtgdgdtggdddgg. Give prob of picking 1 d and 3 g.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/((-100)\/10)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1312)\/(-2624)*6\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 134*x**4 + 816*x**2 + 2*x - 56869.\nAnswer: 1608*x**2 + 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3*(sqrt(13)*1 - sqrt(13))*-2 - ((sqrt(208) + 1 - sqrt(13)) + 4*sqrt(208))).\nAnswer: -95*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 611496 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3076573 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ootooooooooooooooo?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 1 + (-2 - 0) + -54 + 159 + -89.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*z + 50*z - 296*z - z**3 + 92*z + 5*z**3.\nAnswer: 4*z**3 - 81*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/5412 and -145\/198.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8041 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**2\/2 + 9*n - 2. Let l be 3\/(6\/(-2))*-3. Let y be r(l). Let u(v) = -v**3 + 6*v**2 - 4. Give u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165989794.\nAnswer: 2, 29, 1627, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -609, -4606, -15671, -37404, -73405?\nAnswer: -127274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 10.3 - 1.9\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 73 - 68. Sort -2, -5, h, -1 in increasing order.\nAnswer: -5, -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 73 = 4*o + 8, 4*o = -3*q + 71. What is the highest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23\/18 + -2\/9. Suppose 12 = 22*d - 19*d. Suppose 2*s + 4*v = -12, 0*v = -s - d*v - 16. Which is the nearest to 1?  (a) 0.1  (b) j  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**2\/4 + 1131717*h\/4 - 10185291\/2 = 0. What is h?\nAnswer: 18, 1131699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (33 - ((-11 - -56) + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/7, -1\/2, -2, -0.3, -10863?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0.3  (b) -0.09  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/2 - 121*j**2\/2 - 119*j.\nAnswer: -j*(j + 2)*(j + 119)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 345 + (6 - 0 - 3). Let r = -247 + o. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0.1  (b) -1\/6  (c) -1  (d) 2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 6. Suppose 5 = -4*a + 3*g, 2*a + 3*g = -a + 12. Let d be a + 1 + -3 - w. Solve 8*h = d*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s*s\/(s**(1\/3)*s)*s*s)**(-11)*s**(1\/14)*s*s\/(s*s*s*s**(-2)) assuming s is positive.\nAnswer: s**(-2111\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h**3 - 26*h**2 + 2*h - 167. Let r(q) = -2*q**3 - 14*q**2 + q - 87. Calculate 7*r(s) - 4*t(s).\nAnswer: 2*s**3 + 6*s**2 - s + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -9837020 to the nearest one hundred thousand.\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 4*n + 5 = 0, 0 = 10706*w - 10709*w + 2*n - 29 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/16*20\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 36*s**2 - 58*s + 84. List the prime factors of j(-14).\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 58, -2\/260855, 0.2, 1 in descending order.\nAnswer: 58, 1, 0.2, -2\/260855, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 10 = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 5*q. Let t = -149 - -156. Let x(z) = t*z + 22*z - 61*z + 19*z. Determine b(x(n)).\nAnswer: -65*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d. Let h(c) = -272*c**2 - 3*c + 277*c**2 + 3*c. What is h(l(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 5*m + 2. Let b(o) = 9*o. Let d(v) = 4*a(v) - 3*b(v). Let n(z) = -z**2 - 7*z - 4. Let j be n(-5). Calculate d(j).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -69 - -259. Let r be ((-2562)\/(-244))\/(1\/18). Is q less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + 24 + 15 + (32 - 14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + 5*v**2 - 5. Let n be y(-4). Let k = n + -7. Solve -7 + 4 = 3*b, k*t - 5*b - 9 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17.21715*3.\nAnswer: -51.65145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(252) + 1)*3)**2*2 - (4 + (1*sqrt(252)*-3 + 2 + -1 + sqrt(252))**2).\nAnswer: 240*sqrt(7) + 3542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 553836052.\nAnswer: 2, 7, 11, 113, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4624657932 a multiple of 6715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g**4 + 2475*g**3 + 99999*g**2 + 939921*g + 842400 = 0 for g.\nAnswer: -25, -13, -1, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**3\/7 + 264*y**2\/7 - 4442*y\/7 - 672 = 0.\nAnswer: -147, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1491 or 1485?\nAnswer: 1485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-5))\/(2*(24\/8)\/30)*11.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10665259609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57853.722 + -57918. Let m = -0.078 - r. Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/19*x**3 - 138\/19*x**2 + 0*x + 0 = 0.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/8)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -14. Suppose -2*l + f + 1 = 0. What is the biggest value in 5, -4, 0.08, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 135*l**4\/4 - 2*l + 21. Let a(u) = -4*u**2. Determine n(a(h)).\nAnswer: 6480*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 462710 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: Let m(w) = w**3 - 5*w**2 - 6*w + 4. Let d be m(6). Suppose 3*y - 4*l = l + 33, -5*l - 15 = 0. Let z be (y\/2)\/(6\/10). Sort z, d, -4 in ascending order.\nAnswer: -4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-96)\/(-18) + 4\/6. Let s(f) = 89*f - 1. Is s(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i - 6. Let z(p) = -2*p - 10. Let t(k) = 5*a(k) - 3*z(k). Let g(n) = 505*n**2 - 3 + 510*n**2 - 1009*n**2 - 19. Determine t(g(o)).\nAnswer: 6*o**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1551 + -1549.913. Let v = -0.087 + s. Let m = 0.33 - 0.03. Do v and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -237 + 241. Put z, 42\/13, 2\/3 in descending order.\nAnswer: z, 42\/13, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38*u**3*w**3 - u**3*w**2 + 200*u**3*w wrt w.\nAnswer: 228*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 210*x**3 - 2*x**2 + 8*x - 4. Let p(o) = 212*o**3 - o**2 + 6*o - 3. What is 3*g(u) - 4*p(u)?\nAnswer: -218*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -59*x. Let f(i) = -63*i - 2. What is 4*f(o) - 3*w(o)?\nAnswer: -75*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 119*o*s + 29228*o - 2673*s - 12 wrt s?\nAnswer: 119*o - 2673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of 2*b**4\/3 - b**3\/6 + 7*b**2\/2 + 21*b. Find the second derivative of g(t) wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 16 = 5*z. What is the closest to -2\/3 in 2\/9, z, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11044322 (base 5) to base 16\nAnswer: 17a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35\/66 or 1?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -28461080 rounded to the nearest 100000?\nAnswer: -28500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 4, 1, 40\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of -g**9\/7560 - g**5\/30 - g**4\/12 - 4*g**2. Let h(j) be the second derivative of o(j). Differentiate h(k) wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(4536))\/(-6*(sqrt(288)*1 + sqrt(288))).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -6*k + 2*k + 146, -74 = -2*k + 2*g. Let n(c) = -c**3 - 2*c - 1. Let x be n(-1). Suppose x*u + 14*u - 80 = 0. Solve -u*t + k = 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.6301214 to 3 decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 17. Suppose m*h + 3*h = -4*k + 78, -3*k = -6. Let r = h - 9. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -265*o - 7162004*o**2 + 265*o.\nAnswer: -7162004*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n - 6. What is v(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -86568.\nAnswer: -1\/43284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -172 + 173. Let b(y) = y + 1. Calculate the lowest common multiple of q and b(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f = 13 - 21. Let c = -50 - -49. Let u be -4 - c\/(6\/24). Solve -m + f = r - u*r, -2*m + 17 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v + 3 + 3 - 3*v. Let n be -1 - 7\/42*6. Let b(q) = 1. Give n*l(h) + 10*b(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -3, -0.3, 3\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2313 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-1))\/((-8)\/40). Sort t, 0.07, 2\/5 in descending order.\nAnswer: t, 2\/5, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.008014683 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * -0.4.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 1614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -258 equal to -261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/1116766 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 18017995 divided by 6\nAnswer: 18017995\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 84110863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 0, -11, -34, -75, -140, -235?\n\"Answer: -c**3 - 4*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -11 and 373807995020.\nAnswer: 373807995009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4210*d - 4289*d = -52793093. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -62*k - 121. Let z be w(-2). Solve 4*v + z = 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 267 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 102537031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 10 - (543 + -515)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - v**2)*(5*v - 6*v + 2*v) - 130832*v + 130701*v - 4 - 2 + 2*v**3.\nAnswer: v**3 - 131*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -777*w = -409*w + 470*w - 25140 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 6*s - 2*s + 0*s - 2 + 3*s. Let q(t) = 3*t**2. Calculate g(q(b)).\nAnswer: 21*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 greater than -2\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*n - 1. Suppose -2*b - 3*g + 0*g + 7 = 0, b + 5*g = 7. Solve 0 = -n*s + 6 + b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -383, -379, -375?\n\"Answer: 4*h - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 7 + 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -22702 divided by -5\nAnswer: 22702\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -504 + 675. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18158.\nAnswer: 2, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express k**4 - 6*k - k**3 + 128*k**2 + 0*k - 2 - 126*k**2 as b*k**2 + s*k + v + a*k**3 + z*k**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-2 - (11 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 525 + 395 = 2*b. Is 46 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22139?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 2*x**2\/3 - 37294*x\/9 - 4144\/3 = 0.\nAnswer: -1\/3, 6216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (4 - -31) + (8 - 4 - 0) is divided by (4\/(-5))\/((-4)\/70)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(16))\/sqrt(8) - (2*sqrt(50))**2.\nAnswer: -200 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1930e1 - -5?\nAnswer: 1930e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-4 + sqrt(28) + 4) - (5 + (3 + -2 + sqrt(7) + sqrt(7) - sqrt(7))*-6)) + -1)**2 + 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -2*r**3 - 1082*r**2 - 1080*r = 0.\nAnswer: -540, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 30, 1, 31 in decreasing order.\nAnswer: 31, 30, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(99\/36) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -168 - -276. Let k be (15\/(-33) - 108\/198)\/((-5)\/(-295)). Let s = q + k. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.2 - 1.1. Let g = -3.0463 + 0.0463. Sort m, g, -0.4, 2 in ascending order.\nAnswer: g, -0.4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 166040 to the nearest one thousand.\nAnswer: 166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-103)\/8652)\/((-3)\/12*1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-75 + 19 + 9 - -76) + -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -1\/6  (c) 0  (d) -89.8  (e) 10  (f) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 1. Let s = i - -5. Let p(v) = -206 + 3*v - 4*v + 209. What is p(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/21, 1\/7, 2, -50?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 76, 148, 224, 304, 388?\n\"Answer: 2*s**2 + 66*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*(i*i**9)\/i)\/i)\/i**(-9))**(-24) assuming i is positive.\nAnswer: i**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -6*l - 90. List the prime factors of (4\/l*1)\/((-4)\/2540).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*n = 0, 0 = 3*h + 17*n - 18*n. Suppose 4*u = -2*c + c + 3200, h = 5*u + 5*c - 4015. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 1 - z - 3)*(5*z**2 - 6*z**2 + 5*z**2 + z**2 - z + z + z**2 + 2*z - 2*z + (-6 + 1 + 3)*(-1 - 2*z**2 + 1) + 103 + 12*z**2 - 103).\nAnswer: -22*z**3 + 66*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of -2*q**3\/15 + 6*q**2 - 90*q - 42. Factor v(s).\nAnswer: -2*(s - 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-605)\/30 - 3\/(-18). Let v be 147\/15 - (-2)\/n*-2. Let i(t) = -v - 16 - 3*t + 17. Give i(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6)\/(-4)*140\/(-168)*-124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3778 - a**2 - 34*a**3 - 3742 + 7456 as t*a + b + r*a**2 + u*a**3 and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 118461886944029 + -1.\nAnswer: 118461886944028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/1831830 and -98\/90152205?\nAnswer: 1262130870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 865\/10741 + 3\/467. Let a be (9\/(-12))\/(1\/(-8)). Let b = a - 40\/7. What is the nearest to 0 in -2\/5, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -12*b. Let o be x(-1). Suppose 37 = 5*v + o. What are the prime factors of v - ((-2)\/1)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1442*k + 167*k - 67446 = 1174*k + 1298*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -60*s**2 + s - 6. Let b(h) = -90*h**2 + h - 9. Give -5*b(y) + 7*j(y).\nAnswer: 30*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3233\/(-265))\/61)\/((-39)\/(-45)*12\/4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1717 - 1696. What is the remainder when 78 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-112)\/(-20) + -6 + -3)*5. Let p be b + 22 - (-489)\/(-96). Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 398329963 at most 398329962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z + 5*c - 40, -30845*z = -30856*z - c - 48 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 991071772?\nAnswer: 2, 67, 3698029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8.6507 + -0.9287. Let i = -0.078 - w. Let l = 8 + i. Is l bigger than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a**2 + 24. Is 15 a factor of p(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + o. Let y(l) = -2*l**2 + 23*l + 2. Let c(d) = -y(d) + z(d). What is the tens digit of c(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*s + 2*g = -28*s - 2*g - 53, 0 = 6*g - 24 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12016446)\/(-48) + (-51)\/(-136) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 281 times -16369\nAnswer: -4599689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from pyxpeyxpp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.28 - -4.68. Let f = -1.6 - -2. Let m = f - l. What is the biggest value in -2\/13, m, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -923016.9 - -923016.83799959. Let f = -0.04 + 0.102. Let a = x + f. Round a to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*b = 78*b + 35*b + 115*b + 12614 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/7)\/n**2*(n*n*n**(3\/7))\/n**(-2\/13))**(5\/9))**30 assuming n is positive.\nAnswer: n**(3950\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c - 4. Let d(n) = -7*n - 11. What is 4*d(o) - 11*k(o)?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-90)\/450*10\/58\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -0.4879  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 132 - 2*l + 160 - 271. Let i be w(6). Suppose -i*m = -0*m - 2061. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 250*q + 316. Give g(-2).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1287236463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -11*g - 29. Let z be m(-3). Is 10 a factor of ((-18)\/12)\/((-2)\/z)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52 * -428702\nAnswer: -22292504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6940409057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t + 108 - t - 106. Let r be u(0). Which is the smallest value?  (a) 1\/3  (b) -7  (c) -4  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 139 and -25.\nAnswer: -3475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 434666\/279729 + 52\/31081. Let -1\/9*c**2 - u*c + 0 = 0. Calculate c.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from paaammmumaala.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 31 = 139. Let y = j + 52. Let u(z) = -z + 1. Let n be u(y). Solve 0 = -n*w + 2*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 152 - -100. Suppose -2*r + j = -844, u = 3*r - 2*j - 1014. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 - -6. Let i = -12.999991 - z. What is i rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o + 24. Let h(x) = -x - 16. What is 8*h(q) + 5*t(q)?\nAnswer: 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (61 - 135 + 56)*(2*c + 2*c - 3*c + 2 - c - 2 + (-1 + 4 - 5)*(-2*c - c + 4*c) + 45*c - 41*c - 30*c)*(-5 - c**2 + 5).\nAnswer: -504*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of d**6\/90 - 2*d**5\/15 - 5*d**4\/18 + 4*d**3\/9 + 3*d**2\/2 - 104*d. Determine b, given that g(b) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 19 - 3*i - 5 - 8 - 8. Let v be y(-2). Suppose -v*c + 16 = -4*f - 8, -2*f - 6 = c. Solve 0*g + c*g = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 + v - 1. Let h be (-20)\/(-3)*(-18)\/(-24). Determine q(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -16473  (b) 0  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of -v**5\/330 + 17*v**4\/132 - 20*v**3\/11 - 12*v**2 - 1. Find j such that h(j) = 0.\nAnswer: 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 776 and 88.\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 8*m + 4. Let i be h(8). Suppose 0 = -5*j - 4*d + 33, 44*d + 31 = -4*j + 139. Which is the third biggest value?  (a) i  (b) j  (c) 112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 + -6. Let y(i) = -8*i + 1. What is the remainder when m is divided by y(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3)\/7 + 9335720\/952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3604 - 2264 + 1747 + f + 14584.\nAnswer: f + 17671","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7\/(280\/24) - 1. What is the closest to i in -4, -2, 27, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-13376)\/110124)\/88)\/(4\/(-28))?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*q - 3*q. Suppose 0 = 8*z - 5*z. Solve 0 = -2*l + 2*n - 8, 2*l + z*l + n - q = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -1301*w. Let r(j) be the third derivative of -j**4\/24 + 150*j**2. Calculate v(r(l)).\nAnswer: 1301*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 6. Let a = -2\/2255 + 2259\/4510. Put b, a, -0.06, 0 in decreasing order.\nAnswer: b, a, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*r - 35*r**2 - 50*r**2 + 134*r**2 - 43*r**2 - 4*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -324 - -354. Calculate the remainder when 266 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, l: 6, c: 4, u: 2, h: 1, e: 1}. Give prob of picking 2 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 6*u = 0. Suppose -4*y + 5*r - 6 = u, -4*r = -2*y - r - 2. Which is the third biggest value?  (a) y  (b) -2\/5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20*b - 27*b + 13*b)*(0 - 17*b + 2 + 5*b) to n*b**2 + c + a*b and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -26. Let c(b) = -b**3 - 15*b**2 + 3*b + 17. Let y be c(f). Let m = y - -47. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 277\/8 + -183\/4. Let m = -630 + 3737\/6. Find the common denominator of m and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -70.8621 to 1 dp.\nAnswer: -70.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**2. Let x(b) = 8 - 1 - 5 + 3 + 2*b**2. What is x(u(o))?\nAnswer: 8*o**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100110 - -1110000?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-3)*116\/(-87)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4 = -6. Let z(q) = 32450 - 32450 - q**2 - s*q. Suppose 4*j - 5 = 3. Let i(y) = -3*y**2 - 5*y. Calculate j*i(d) - 5*z(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 5*f = 41 + 119, 2*x + 64 = -3*f. Suppose 0 = 3*t + t + 2*v - 768, 4*v = 0. Let r = t + x. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 18 - 47 = -4*x, 3*q - 20 = -5*x. Let w be (-4700)\/32*(-54)\/q. Let o = -1605 + w. Calculate the common denominator of o and -25\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 777 divided by -563.\nAnswer: -777\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1479.\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.303 + -5.603. What is the closest to 0 in 1.15, -1\/8, a?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7\/25 + 171\/700. Let t = p + -5\/7. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75709260?\nAnswer: 2, 3, 5, 11, 38237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 + 2. Suppose 2*j + c + 66 = 0. Let q be 6\/15 - j\/15. Solve -q*w - 3 + 0 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**3\/5 - 7596*r**2\/5 + 7593*r\/5 = 0. Calculate r.\nAnswer: 0, 1, 2531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 30\/150*5\/1. Sort o, 4, 17 in decreasing order.\nAnswer: 17, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67307 - 67307 + 155*j - 158*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 586235, 586276, 586345, 586442?\n\"Answer: 14*z**2 - z + 586222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 19 + -3 + -7 + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 254*a = 257*a - 2, -125 + 123 = t + 4*a for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -27214, -27109, -26962, -26773?\n\"Answer: 21*j**2 + 42*j - 27277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/3, 14, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1329010873700 + 0.\nAnswer: -1329010873700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1558 (base 10) in base 7?\nAnswer: -4354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/436 and 61\/6?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**2 - 5*l - 4. Calculate k(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-87)*(20\/(-8))\/((-230)\/(-138)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 203781 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 109*w**2. Let j(p) = 19*p + 16*p + 0 + 6 - 36*p. Let u(s) = 2*s - 13. Let d(q) = -13*j(q) - 6*u(q). What is d(i(c))?\nAnswer: 109*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54, -127, -430, -855?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -22272 divided by -266\nAnswer: 11136\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*x + 56 - 7. Let q(n) = n**3 + 6*n**2 - 7*n - 3. Determine q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*8\/((-288)\/(-27)). Sort l, -7, -23 in decreasing order.\nAnswer: l, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 13 = 3*u - 13, 0 = 2*u + 5*k + 11. Let x(f) = 29*f - 18. Is x(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 24 + (5 + -68 - (2 - (6 + 3)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -53*h**5*s - 2*h**4*s**2 - 14*h**2*s**2 + 5*h**2 - h*s**2 wrt h.\nAnswer: -3180*h**2*s - 48*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**(-21)*(t\/(t*t**18*t))\/t assuming t is positive.\nAnswer: t**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -155\/5568 and 22\/1305?\nAnswer: 83520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**3 - 3*r**3 + 4*r**3 + (-3*r**3 + 3*r - 3*r)*(1 + 3 - 2) + 4*r**3 - 2*r**3 - 6*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/15, -68, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 7, l: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 213 - -2331101033?\nAnswer: 2331101312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -210, 4, -2\/3, 5.9, -4, -4\/3 in descending order.\nAnswer: 5.9, 4, -2\/3, -4\/3, -4, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1129 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -28\/15 and -107\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2*a - 10 = 0, 4*v = -0*v - 3*a + 9. Solve v*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1519 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of j**4\/12 + j**3 + j**2\/2 + 2*j. Suppose 2*o + 2*h = 4*o, -h + 6 = 5*o. Suppose 0 = -5*k - 19 - o. Calculate a(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**1)\/n**2)\/(n**(-2)*(n*n\/n**(-2\/7))\/n) assuming n is positive.\nAnswer: n**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 127818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 5*r - 10, 3*f + 2*r = -0*r + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -1 + 4 + 0 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5.5*-2.352\nAnswer: -12.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 105894 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 4*q + 4, -5*q - 4*u + 5 = 28. Let a be 44\/22 - q*(2 - 1). Suppose 0 = -5*t + a*z + 755, -4*t = -3*t - 5*z - 135. 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 third derivative of -345*c**3*s**3 + 8*c**3*s**2 - 14*c**2*s - 47*c*s**3 wrt c?\nAnswer: -2070*s**3 + 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.29 times 1681?\nAnswer: -487.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 359.2 and 8.\nAnswer: 2873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 11*j + 1. Suppose 9*d = -8*d + 136. Determine x(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -43522007*g*j**2*x**2 - 3*g*j**2 + 143*j**2*x**2 - 4938*j**2 - 5*j*x + 4*x**2 wrt g?\nAnswer: -43522007*j**2*x**2 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(81)\/(sqrt(3) + sqrt(18)\/(sqrt(6)*3)) + (1 + -6*(sqrt(192) + -3 + sqrt(192) - sqrt(192)))**2.\nAnswer: -7287*sqrt(3)\/4 + 7273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -20828608.8 to the nearest one hundred thousand.\nAnswer: -20800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/2 and (1\/(-30))\/(28\/(-1834))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130858284.\nAnswer: 2, 3, 10904857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 306\/11, 0.4, -246\/511, -7.\nAnswer: -7, -246\/511, 0.4, 306\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 209 = -5*g - 141, 4*n + 5*g = 77 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 5, 0.075 in decreasing order.\nAnswer: 5, 0.075, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 35*s + 56. Let v be d(70). Is v != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 312 and 1080.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 360*d**3 + 29*d**3 + 1732*d**3.\nAnswer: 2121*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 - l**2 + 2*l - 59. Let t(b) = b**3 - 19*b**2 + 78*b. Let z be t(13). Give k(z).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -613 - -616. Find the second derivative of 125*t - 126*t**2 - 44*t + 35*t**2 - f*t + 59*t wrt t.\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j**3 + 3*j**2 - 9*j - 7. Let m(o) = -2*o - 1. Let a(u) = c(u) - 2*m(u). What is a(-2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -90 bigger than 7010280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 divided by -102?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2*g + 0*g + 0*g)*(2 - 4*g**3 - 2) - 5*g**4 - 5*g**4 - g**4)*(-3 + 2 + 3) as r*g**3 + j*g + q*g**4 + u*g**2 + d and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-15 + 11 + -40 - -17)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 3*b**3 - 1 - 9*b + 0 - 4*b**3 as f*b**3 + n*b + q + c*b**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13105 or 13195?\nAnswer: 13105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/34, 33\/16, -1\/3 in descending order.\nAnswer: 33\/16, 7\/34, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 72716099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**3\/7 + 484*v**2\/7 = 0. What is v?\nAnswer: 0, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 1\/10*t**5 + 0 - 4*t - 1\/3*t**3 + 0*t**4 + 0*t**2. What is the second derivative of v(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2. Let r(p) = 31*p - 465. Let z be r(15). Let o(f) be the third derivative of 0*f + 3*f**2 + z + 0*f**3 - 1\/6*f**4. Determine o(i(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/20)\/((-261)\/116).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 100211211?\nAnswer: 100211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d**3*q - 8*d**3 + 5*d**2*q + 6*q wrt d?\nAnswer: -12*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1818775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 807*b - 16941. Calculate p(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = u + 22, 4*k - 28 = 1167*u - 1169*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3179 is divided by 402.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*w + 232 = 15*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 + 20*t + 13. Let f be c(-19). Put 3, 1, f in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - 11*m**2 + 2*m + 24. Let j be n(-11). Factor 3\/4*o**j - 7\/4*o - 3\/2.\nAnswer: (o - 3)*(3*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.4, -3\/4, 5, 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*z**3 + 1252*z**2 - 5728*z + 3264.\nAnswer: -2*(z - 204)*(z - 4)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2*h**3 - 5*h**2 - 1. Let a = -1967 - -1979. What is the remainder when w(-4) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) 2  (c) 0.5  (d) 5  (e) 398549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n + 1989 = 5*a - 17*n, n - 1997 = -5*a. Which is bigger: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 7*p = 530*v - 8*p - p - 6344, 22 - 2 = 5*p for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19634, -85025, -194010, -346589, -542762, -782529, -1065890?\nAnswer: -1392845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*-2*3)\/(4*sqrt(250) - sqrt(10)).\nAnswer: -6*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3121 - -1593. Let h = -1526.797 - o. What is h rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.2014308853 and 71.395.\nAnswer: 71.1935691147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390*c + 789 + 8493 = -7488 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -2389*s**2 - 4253*s + 11118. Find the first derivative of i(c) wrt c.\nAnswer: -4778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4572387211?\nAnswer: 7, 509, 1283297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*q + 5 = -30*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 18*w**2 - 5*w + 9. Let i be c(-18). Let n(j) = -i*j**2 - 19*j - 24*j + 43*j. Let z(y) = -2*y. Determine z(n(d)).\nAnswer: 198*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -1  (b) -4\/5  (c) -2\/7  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -52 - -195. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.74073mg in nanograms?\nAnswer: 16740730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 887048*i**3 + 684494*i.\nAnswer: 5322288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 7. Suppose -2*h = -v - 5, z*h - 3*h + 20 = v. What is the second derivative of 3*w - 3*w**5 - h*w + w wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/180750  (b) 3\/161  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -119426\nAnswer: 2\/59713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -56248 + 56245.3221. Let n = -2.7491 + 0.0591. Let w = n - b. Round w to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/17, 9.5, 0, 3, -0.5 in descending order.\nAnswer: 9.5, 3, 2\/17, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m + 18*m - 5*i = -6666, -2*i + 6660 = 4*m. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244667472 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 14) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 772349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {e: 1, w: 1, m: 1, x: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1910, 3822, 5734, 7646, 9558?\nAnswer: 11470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/1423613873?\nAnswer: -1\/1423613873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**(-6)))\/((w*w**(-1\/7))\/w)*((w\/w**1*w)\/w)**32 assuming w is positive.\nAnswer: w**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*f + 93*f - 5*h - 62 = -93*f + 277*f, -4*f + 36 = -5*h - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 8 + 22. Is 6 a factor of g\/(-25) - (-56)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4067.948203 to 1 decimal place.\nAnswer: -4067.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 488*l + 486*l - 3*l**2 - 5*l**2 - 974*l.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 82.91275kg?\nAnswer: 82912750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, y: 6, s: 1}. Give prob of sequence yyiy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*d + 11*d**2 - 25*d**2 - 56*d**2.\nAnswer: -70*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -4*h - 50, 3*h - 72 = -4*g + 4*h. Suppose g*t = 12*t + 15. Sort -6, t, -4.\nAnswer: -6, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 0*t**3 - 7\/6*t**4 + 0*t**2 + 19*t + 0 + 3\/5*t**5. What is the third derivative of c(r) wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 474 + 470 - 1410 + 466 - 12844*u**2 + 2*u**2 + 1 - 1 + (0*u - 2*u**2 + 0*u)*(6 - 4 - 3) - u**2 - 1 + 1 to the form k*u**2 + a + w*u and give k.\nAnswer: -12841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/8 and -59\/196.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13054 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3.06 * 1\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -31317\/3992 at most as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 2*n - 2 = -6, l + 8 = 5*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.4592502 times -0.4\nAnswer: 0.18370008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6310552878.\nAnswer: 2, 3, 7, 19, 2635987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.5  (b) 0.0741  (c) 2\/3  (d) 2  (e) 10  (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3024 + -3044 - (-3 - 109)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2830239773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 1)*(0*w**2 - w**2 - w**2).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 151 - 166 = -9*j - 4*d, 2*j - d = -7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + ((-60)\/(-18))\/(4\/6). Let l(w) = w**2 - 9*w + 14. Let b be l(y). Solve -b*n + 2*n = -8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -66 - -70. Solve -3*i - b = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -233.8 + 230.8. What is the closest to f in 1\/4, 11, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 + -2115?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 4*r + 142. Let f(l) = -13*l - 109. Let m be f(-6). Let z be j(m). Solve -7*y = -z + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8420874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47485 is divided by 818.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3293551*w + 34375 - 1999 = -3293779*w for w.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 704825479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/35)\/m)\/(m*m\/(m*m**(-1)*m))*m\/(m\/(m**(-7\/2)\/m)*m)*m*(m**(1\/14)\/m)\/m assuming m is positive.\nAnswer: m**(-262\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77997*g = 78019*g - 264 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 4\/9, -5\/4, 5\/2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2804962 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 4*z**3 + 160*z**2 + 308*z + 152 = 0?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1360001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 5 + 2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4*l**2 + 4*l - 9. What is the tens digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 6) + 3 + 52. Suppose -v*i = -59*i + 24. What is the greatest common factor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (39*m + 8*m - 116*m)*(5 - 3 - 3) + (0*m - 2*m + 4*m)*(-1 + 0 + 0) as w*m + l and give w.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1213294 take away 199088?\nAnswer: -1412382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and 0.023127.\nAnswer: 4.023127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 53.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5*i - 5)*(0 + 0 + 2)*((2 - 1 + 1)*(i - 4*i + 0*i) + (3 - 3 + 4)*(-4*i - 4*i + 3*i)).\nAnswer: 260*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/(-40) - (-26)\/8. Let d(l) = l**2 - 2*l + 5. What is the remainder when 45 is divided by d(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 1 + 1)*(2 - 4 + 0) - 7 + 1 - 1)*((p**3 - 2*p**2 + 2*p**2)*(-7*p + 2*p + 3*p) - 2*p**4 + 4*p**4 + 4*p**4).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 7*h = -4*b - 135, 5*h - 3*b - 709 = 0. Let a = -139 + h. Calculate the greatest common divisor of a and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 29647051134 and -6120.\nAnswer: 29647045014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7051 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 40*m - 16. Let o be s(-16). Let n be (-2 - -5) + 2*1. Suppose n*y - o = y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (((-347400)\/16)\/(-15))\/(-3 + 27\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 59.24657 to zero dps.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 103141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 0. Suppose 0 = -2*q + 5*k - 15, -22*k + 18*k = -3*q - 12. Solve q = t + c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from uauzuuquuaquuaubuqq?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (35\/28)\/((-1)\/4). Let g be ((-3)\/6)\/(2\/(-4)). Sort 2, v, 3, g in increasing order.\nAnswer: v, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -56597\/286, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kpeklkxpkkxppkm. What is prob of picking 4 p?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-70)*15\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.19 or -2838?\nAnswer: -2838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.00205 - -22.33205. Let m = c + -22. Let b = m + 14.67. Does -1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/15)\/(224\/(-84)*1).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -211\/4 + 661\/12. Let j = -0.1 + -0.4. Sort -0.4, j, t in descending order.\nAnswer: t, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -v - 0. Let x = 4 + v. Suppose x = -2*c + 3*c - 5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 + 0)*(-2*b - 5*b - b)*(1 + 4 - 2) as z + o*b and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 273 - 3001\/11. Let f = -29\/108 - -1\/54. Let v(o) = -2*o + 9. Let r be v(6). Which is the third smallest value?  (a) f  (b) r  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/4  (b) -4  (c) 9.996  (d) -7  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1404 + 1355 - (0 - 10)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of -s**6\/40 + s**3\/3 - 4*s**2. Let d(c) be the first derivative of v(c). Let b(r) = -r**2. What is b(d(y))?\nAnswer: -81*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*a**4 + 149*a - 149*a)*(-2 + 1 + 3*a + 3*a).\nAnswer: 162*a**5 - 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + (-2)\/(((-64)\/12)\/8). Solve z*l - 16 = 4*l + 2*s, 0 = 5*l - 4*s - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 733397, 733375, 733337, 733283, 733213, 733127, 733025?\nAnswer: 732907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - u - 14863, -4*u - 19 = -3. Suppose -2*q = 11*q - x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21*(20\/(-50))\/((-6)\/5). Solve w = -5*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 47*n - 2*n**2 - 10 - 27*n + 5 - 31*n + 38. Determine m(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*(-4)\/64*-17*(-4)\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1430 - 5?\nAnswer: -1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 15699*l + 22*l**2 - 15699*l)*(l**2 + 2*l**2 - 4*l**2)*(-2 + 0 + 0).\nAnswer: 44*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -3*g - 1. Let d(o) = o - 32. Calculate p(d(i)).\nAnswer: -3*i + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 5*o**2 + 8*o + 7. Let k be l(-5). Suppose -4 = -4*a + k. Suppose 5*z - z = a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 8 = 0, 4*j - 3*i - 19 = 7. Let t(f) = 6*f + 1. Let h(k) = -7*k - 1. Let l(v) = 5*h(v) + 6*t(v). What is the units digit of l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2 + 3 + 20*v + 0 - 4. Is 8 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5037 rounded to 2 decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66778 = 137*c + 249*c. Let w = -413 + 241. Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 54 - 89. Let c = -17 - f. What is the lowest common multiple of c and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6467044?\nAnswer: 2, 193, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6289069?\nAnswer: 173, 36353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.051 - 4.451. Let h = -0.6 + v. Let i = 3 + -4. Which is the nearest to i?  (a) -3\/5  (b) h  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5380 + 5375. What is the nearest to -2 in w, 2\/3, -132?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 5*t - 391, -j + 30 + 47 = t. Let a = -19 - -23. Suppose 0*b + t = a*b. Calculate the greatest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67 - 201 - a + 571*a**3 + 41*a**3 + 3*a wrt a?\nAnswer: 3672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.017 + 0.017. Which is the nearest to 2\/9?  (a) j  (b) 0.2  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1057 is divided by 20\/((-1380)\/230 + 5\/((-10)\/(-16))).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (26 + 24*x - 26)*(4*x - 3*x - 3*x) + 2*x**2 + 2*x**2 - 6*x**2 - 3*x**2 - x**2 + 2*x**2 as g + p*x + h*x**2 and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 18 - ((1 - 7) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/8 - 36645\/19460. Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 36172980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -740a02 (base 13) in base 14?\nAnswer: -5095d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 313 (base 9) to base 16\nAnswer: ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**2 + 4*y - 4. Let c(h) = 3*h**2 + 5*h - 5. Let d(z) = -3*c(z) + 4*i(z). Give d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*m*z**5 - m*z**4 - 2*m*z**3 + 3*m*z**2 - 344*m wrt z?\nAnswer: -240*m*z**2 - 24*m*z - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 165387024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 15*b. Let j(o) = -o + 1. Let p(i) = -8*i + 6. Suppose -3*c + 13 = 10*c. Let a(u) = c*p(u) - 6*j(u). Give m(a(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 74947 + -672?\nAnswer: 74275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 67597681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*f - 25 = -28*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12 or 6249\/493?\nAnswer: 6249\/493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 121  (b) -3  (c) 0.2  (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 140 + (7521\/(-69) - 1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -952075632 - 2?\nAnswer: -952075634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14263 + 14277. Calculate the remainder when (-7 - -3)*(-11 + 1) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/36 and -67\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/52)\/((-1)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 4\/7  (c) -15  (d) -4.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 924 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*((y*y**3*y*y)\/y)\/y*y**6)**8 assuming y is positive.\nAnswer: y**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 11:04 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6406 + -703?\nAnswer: -7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20903 is divided by 722.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -2\/13, 2196\/19, 8.89?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -131.2 + 131. Which is the nearest to 0.1?  (a) 0.1  (b) -17  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {t: 13, r: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 6994*z**2 - 30*z. Let r be x(5). What is r rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 655696740.\nAnswer: 2, 3, 5, 307, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -149.80052 - -0.5.\nAnswer: -149.30052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 20365946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 2*u**3)*(-31 + u - 2*u - 7) as t*u + p*u**3 + v*u**2 + d + k*u**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 3*z - z + (-4 + 1 + 0)*(-3 + 2*z + 3))*(z**2 + 4*z**2 - 6*z**2).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*b**3 - 74*b**3 + 4*b - 77*b**3 + 379*b**3 - 157*b**3.\nAnswer: -b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -68 in 1, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 + 7*k - 3. Let m be f(6). Let t(w) = 3*w**2 + 35*w + 21. Let r be t(-11). Let b = m + r. What is the remainder when 3 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (132 - 127)*12\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 816 a factor of 1920048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - (-3 + -3 + 1). Suppose -4*c = 3*i - 502, -u*i + 701 = -2*i - c. Suppose -2*p + 4*f + i = 0, 2*p + 4*f - 151 = 63. What are the prime factors of p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8151?\nAnswer: 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 599 - 298 - 316 + 6*z to the form r + i*z and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -180 + 188. What is the nearest to t in -8, -0.1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8918.137 centimeters in meters?\nAnswer: 89.18137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3684*o - 27007 = 58508 + 2901 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 14183 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 42, 36, 28, 18, 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = y. Suppose 2*t - d - 1 - 2 = y, -3*d = 9. Solve 0 = -t*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134454?\nAnswer: 2, 3, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 92.3 and 517.\nAnswer: 47719.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 185140.5 rounded to the nearest 100?\nAnswer: 185100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 3*r**2 + 10*r + 7. Let v be j(9). Let x = v - 583. Let m = 88 - x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -110 - 80\/95*-76?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 780\/60*(-9)\/1131?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 59376404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -73*n - 942. Give f(-32).\nAnswer: 1394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24338089019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 0.2  (c) -0.3  (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01599792375 to 4 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 179121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -2. Let o(h) = -3*h + 28. Let l be o(8). Solve n + l = 3*i - 8, m*i = -4*n + 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -87372 - -257372. Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 64 = -0*p. Suppose 4*b - p = 8*b. Let f be (b\/5)\/(11\/(-55)). Is f > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14865 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -174.\nAnswer: -174, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 87297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 3*s**2 + 16*s - 7. Let h be p(-7). Let l = h + -65. Calculate the smallest common multiple of l and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11895 is divided by 3928?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.422  (b) -2\/11  (c) -5  (d) 1\/4  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -65088 - -16713. Let h = a + 105175. Round h to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7a0292 (base 12) in base 9?\nAnswer: 3601282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-324)\/(-84) + 2\/14. Is 14 a factor of (4 - 824\/12)\/(f\/(-72))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.8 + 87.8. Let k = n - 83.3. Sort -3, k, -2\/7 in decreasing order.\nAnswer: -2\/7, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l + 2252 = 15*l. Let c = -169 + l. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 23574452119339\nAnswer: 23574452119335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 17, b: 1}. What is prob of picking 3 h and 1 b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, 1595\/567 in descending order.\nAnswer: 4, 1595\/567, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2054845315 to the power of 1\/4, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111011011 (base 2) to base 11.\nAnswer: -3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 116037 times -0.1\nAnswer: -11603.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -465569 - -723959746\/1555. Find the common denominator of 31\/15 and x.\nAnswer: 4665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -3.9  (c) 0.32  (d) -4  (e) -5  (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {w: 1, o: 1, d: 1, i: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 101121?\nAnswer: -101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16510\/33021 - -1\/66042. Find d such that 3\/2*d**3 + 0 + d + 1\/2*d**4 - 5\/2*d**2 - o*d**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.028, -0.2, -3, -18719, -7 in decreasing order.\nAnswer: 0.028, -0.2, -3, -7, -18719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 20*i - 1827. What is k(34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 356264, 0.1, -11\/4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 6608*v + 17379. Is y(145) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6767.33 + -6737. Let t = -32.6 + z. Let s = -0.21 - t. What is s rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/5 of a microgram in nanograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 + 16. Is (-246)\/p + (-1)\/(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51 - -102. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11455.\nAnswer: 5, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 0 = 10. Let m = n + -4. What is the smallest common multiple of (m + 1)\/(-1)*-4 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from unnfnuyynunntuufft. Give prob of picking 1 u and 3 n.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 20 = 4*l. Find the second derivative of -10*u - 52*u**5 + 1 - 101*u**l + 17*u**5 + 20*u**5 wrt u.\nAnswer: -2320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -135*a*d**2 + 498*a*d + 1061302*a - d**2 + d wrt d.\nAnswer: -270*a*d + 498*a - 2*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -32*t. Let j(d) = 28*d**2 - 6*d. Give r(j(s)).\nAnswer: -896*s**2 + 192*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001488339 to 6 dps.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u - 18*u + 447 = 3*p, 0 = -p + 2*u + 137. Let z = p + -134. Solve -z = 3*i - 2*x, -5*i + 3*x - 8*x - 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*b - b. Suppose -16 = m + m - 2*r, 3*m + b*r = -49. Is -11 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 3, 0.07, -4\/7, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4002 divided by -6\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -454, -419, -324, -139, 166, 621, 1256?\n\"Answer: 5*s**3 - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1760 + -1441. Which is greater: u or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-nine halves of a micrometer in nanometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.5 at least 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g - 6. Let v be t(5). Suppose -3*y - n - 2 = 0, 4*y + v*n = n - 11. Let h = y - -46. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 473 and 266729.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*(-4)\/6*1. Suppose -4*x + b + 48 = 5*b, -u*x + 4*b + 30 = 0. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -5*q**2 + 4*q - 258. Let b(g) = -4*g**2 + 3*g - 256. Determine 6*b(w) - 5*h(w).\nAnswer: w**2 - 2*w - 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 - -23. Suppose 4*o - y = 3*o. Suppose 0 = -o*n, 2*n = -r - 2*n + 54. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19 + -11. Let o = t - -30. What is the closest to -2\/27 in -1\/3, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-579)\/27 - -21)*(-6)\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7238 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 33*m. Let s(k) = 256*k**2. What is s(g(x))?\nAnswer: 278784*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 128*i - 203 - 821 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 17, 3, -2, 5 in decreasing order.\nAnswer: 17, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-96) + 97\/6. Suppose 0*i + 9 = 2*i - m, 3*i - h = -m. Suppose t - 24 = 5*s, -2*t + 2*s - 21 = -i*t. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33610, -134360, -302254, -537298, -839498, -1208860, -1645390, -2149094?\nAnswer: -2719978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 844 is divided by 209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 40*z**2 + 6*z. Let f(w) = 17*w**2. Calculate y(f(l)).\nAnswer: 11560*l**4 + 102*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -827 + 1228. Let a = v + -404. Which is smaller: -1\/37 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (15\/(-10))\/(9*-1). Let a(t) be the second derivative of 4*t**2 + t + 0 + v*t**4 - 4\/3*t**3. Factor a(h).\nAnswer: 2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0123641um in meters?\nAnswer: 0.0000000123641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 228 - (22 - -8)\/2. Let p(v) = -v**3 - 8*v**2 + 7*v - 2. Let i be p(-11). What is the highest common divisor of i and l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/1 - 77\/(-35). Suppose -7 = 4*c + 13. Put z, 2\/7, c in descending order.\nAnswer: 2\/7, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 264256881*t**2 - 2 - 1 - 264256880*t**2 + 3.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 421 a factor of 78233167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, g: 9, t: 1, u: 2}. Give prob of sequence ytg.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f + 0 - 2 + 4 + 2*f**2. Let b(p) = 10*p**2 + p - 1. What is the lowest common multiple of c(-2) and b(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(2*x - x**2 - 2*x) - 10*x - 9527*x**2 + 9529*x**2 + 5 - 3.\nAnswer: x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 6*j - 1 = -j, -17 = -2*d + j. Let h(r) = 22769*r**3 + 4*r**2 - 16*r + 149. Let v be h(d). What is v rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 - 13*a - 28. What is the least common multiple of y(-6) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*-1271825.\nAnswer: 38154.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12672 + 106?\nAnswer: 12778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2.8249605 months?\nAnswer: 0.0235413375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6383 + -6196.6. Round b to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1933709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 278 a factor of 138105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*(1\/(-2) + -2). Suppose 3*f - 10 = 5*k - 2*f, r = -k + 2*f. Let a = k + 2. Calculate the smallest common multiple of 10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -7*w. Suppose 2*t + w*t + 19 = 3*a, -5*a + 30 = -3*t. Solve a*q + 9 = 0, -29 = 5*m + q + 2*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*o - o, -2*y - 3*o + 13 = 0. Suppose 0 = -y*u - 3*u + 25. Let v(z) = 5 - u*z + 14*z - 5. Let s(r) = -r. Give s(v(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.27 and -3923.9.\nAnswer: -3923.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -8*g**2 + 64*g - 11. Let h(m) = -4*m**2 + 29*m - 5. What is -5*h(x) + 2*t(x)?\nAnswer: 4*x**2 - 17*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(-3) + 214*61\/366.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (57\/(-171))\/(2\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(2\/59)\/u)*u)\/u*u\/(u\/(u*u*u*u*u**(-22)))*u\/(u*u\/(u\/(u\/(u**(1\/17)\/u))))*u**(6\/13) assuming u is positive.\nAnswer: u**(-241398\/13039)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -164. Let t = -146 - h. Sort t, 0, -2\/11, -23 in descending order.\nAnswer: t, 0, -2\/11, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 8, w: 3, m: 4, c: 5}. Give prob of picking 1 w, 1 d, and 1 m.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 2:21 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (4*((sqrt(1539) - (1*sqrt(1539) + sqrt(1539))) + -3 - (-1*sqrt(1539) + sqrt(1539) + -4)))**2.\nAnswer: -288*sqrt(19) + 24636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v. Let k(r) be the third derivative of 7*r**4\/12 + 9*r**2. Calculate k(n(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 PM and 3:45 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from nvvvvvvnv?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 + 23*a - 20. Let x be i(22). Suppose 0 = -z + 2*l - x, -4*z + 4*l + 0*l - 20 = 0. Let c(v) = -v**2 - 10*v - 9. Give c(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 474026.\nAnswer: 2, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(1584\/152) - 3\/(-33)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2146*z**2. Let q(i) = -4*i. Determine q(m(n)).\nAnswer: 8584*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 134303 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 2*r + 72 = 0. Let q = r + -11. Let x(s) = -7*s**2 + 38*s - 14. Let c be x(5). What is the highest common divisor of q and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.3, 2\/19, -43.9, -0.06, -5?\nAnswer: -43.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 2*m - 6, -q = 4*m + 4*q - 18. Suppose -m*s + 2 = -2. Factor s + 1\/2*d**2 - 2*d.\nAnswer: (d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.637152821 to 2 decimal places.\nAnswer: -6.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -11*c + 110. Let l be o(9). Let h be (-7 + l)*10\/8. Solve -5*a = 4*g + 9, 54 = -3*a + h*g + 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1638*o**4 - 830*o + 271*o - 665*o + 26*o wrt o.\nAnswer: -19656*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25100 - -3790073\/151. What is the common denominator of 73\/2 and x?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80553049 and 57779.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.531 - 1.469. Which is the nearest to 3?  (a) 4  (b) 2\/23  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 865 + -516. Let x = k + -166. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -408695*q**3*r - q**3 + 47459*r - 33 wrt q?\nAnswer: -1226085*q**2*r - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41874 + 41878. What is the closest to 3 in -7, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2600938722 is divided by 2607?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, m: 3, f: 2, y: 3}. Give prob of sequence yfym.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30 - -1223?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11 - 0.69.\nAnswer: 10.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35563541 is divided by 3473.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0  (b) -0.5  (c) -1\/5  (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 15 - 6 = 3*c, -3*f + 11 = 2*c. Let k = -87562 + 87572. Put c, 0.3, 1, k in decreasing order.\nAnswer: k, 1, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - (11 - 0 - (-274 - -251))) + 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + i. Let o(l) = 67*l**2 - 2*l. Determine o(y) + 2*v(y).\nAnswer: 65*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 21397 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g**3 - 10*g**2 + 182*g - 3. Let z(d) = -8*d**3 + 28*d**2 - 554*d + 9. What is 11*q(r) + 4*z(r)?\nAnswer: r**3 + 2*r**2 - 214*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 12*t - 39. Let g(n) = 3*n - 3. Let o(m) = -6*g(m) + y(m). Let h(c) = 2*c + 7. What is -8*h(v) - 3*o(v)?\nAnswer: 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 258499875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -10, -2*m + 0*m + 5*s = -55. Let d = 3 + m. Solve 2*g + d = -4*q, -g = -0*g - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14633 is divided by 813?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8109 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 684?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30699 - -3524. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ldd when three letters picked without replacement from {d: 4, l: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 678886425 to the nearest integer?\nAnswer: 26055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m**3 + 39*m - 764. Let f(b) = 9*b**3 + 55*b - 1146. Determine -7*c(y) + 5*f(y).\nAnswer: 3*y**3 + 2*y - 382","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 6*n**2 + 9*n - 14. Let i be p(7). Let o = 97\/4 + -24. Which is the third smallest value?  (a) i  (b) o  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6*j**3 - 9*j**2. Let t(v) = 3*v**3 + 4*v**2. Let z be -1 + (0 - 2) + 1. Give z*b(p) - 5*t(p).\nAnswer: -3*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x + 3*x + 3 - 2 - x. Is d(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 23364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 17*p - 2702 = 0. Let t = -190 + p. Solve t*a + 7 = f, 2*a + 20 = -4*f - 2*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(18\/22 + -1). Let k be (-13)\/(-4) + 2\/(-8). Solve 2*g + p = 5*l, -4*l + k = -2*g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -51*a + 19. Let s(v) = -24*v + 9. Let c(j) = 4*q(j) - 9*s(j). Let z be c(0). Let r(b) = -b**2 - 9*b. Let k(u) = u**2 + 8*u. Give z*k(i) - 4*r(i).\nAnswer: -i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6241 is divided by 54.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 - 16*g + 17. Suppose 3812*d = 3936*d + 2232. Give r(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**1)\/(w\/(w\/(w*w**(-1\/7))))*w**(-3)\/w**(-2) assuming w is positive.\nAnswer: w**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c498 (base 15) to base 4.\nAnswer: -22021013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 3*y + 39 = 0, 2 = u - y - 1. Let a be u\/12*3*2. Let n(z) = 7 - 8 - a + 3*z. Calculate n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-290016)\/(-384))\/(-159) + 87\/(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*g + 284*g + 1520. Let q(t) = -4 - 3 + 8*t - t**3 - 6*t - 5*t**2. Give q(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-414)\/12 - -29)*(-12)\/187\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 + 15*i - 14. Let x be m(1). Which is the nearest to x?  (a) 2\/9  (b) 2\/17  (c) 1\/8  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*w. Suppose -4*o + 24 = 4*i - w*o, -3*i + 18 = -o. Suppose 3*z = i*z - 12. What is the smallest common multiple of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 131859792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12059\/7 + -1721. Factor -c*k**2 + 0 - 3\/7*k - 9\/7*k**3.\nAnswer: -3*k*(k + 1)*(3*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3 and -41\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.587 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*y = -12 - 884 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*w + 2*w - w)*(2 - 4 + 1) + (67 + 36 + 64)*(-23*w - 5*w - 3*w) as q*w + r and give q.\nAnswer: -5178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245085 is divided by 7207?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*b + 6*b + 9*b)*(-1 + 0 + 3) to the form i*b + s and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 304*x**2 - 61*x**2 + 51 - 243*x**2 - 7*x**3.\nAnswer: -7*x**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*t**4 - 1654305*t + 79421 wrt t?\nAnswer: 12*t**3 - 1654305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2256959, 2256958, 2256957, 2256956, 2256955?\n\"Answer: -o + 2256960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 22*f - 11. Let t(n) = 5*n - 3. Let q(w) = 2*g(w) - 9*t(w). Let v(s) = 0*s + 51 - 24 - 24 - s. Give -4*q(y) + 7*v(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1394532 and 45?\nAnswer: 6972660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 51 = -j. Let i = 5 - j. What is the smallest common multiple of 6 and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6\/2413 - 147085\/43434. Let x be -3 + 6 + -68 + 2. What is the common denominator of l and 7 + -4 - x\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3325)\/(-936) + 15\/(-2025)*-15 - 4 and 99\/388.\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -110\/1201 - 3560745\/2402. Let r = 1514 + m. Calculate the common denominator of r and -11\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4049730483 to the power of 1\/3, to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 20 = -4*n, -3*l - l - 2*n = -16. Suppose 4*j = -v + 128, 112 = l*j - 2*v - v. Suppose -29 = -5*a + j. Solve -a = 6*t - 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o. Let t(g) = -1646*g**2 + 1647*g**2 + 21 + 272*g - 21. What is t(c(l))?\nAnswer: 4*l**2 + 544*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (2 + -1 + -14 - -9) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 839063 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of 1\/3*m**3 + 1\/4*m**4 + 9*m**2 + 0 + 1\/60*m**5 + 0*m. Let v = 6 - 11. Calculate q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 5)*(-987*k**3 + 1189*k**3 - 1357*k**3) - 2*k**3 - k**3 + 4*k**3.\nAnswer: -1154*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70 - -66. Sort z, 2, 4, 47.\nAnswer: z, 2, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24849 and 206495190.\nAnswer: 206495190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*p + 64 = 231 + 101 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 125*d**2*v**3 + 183*d**2*v + 2*d**2 - 50*d*v**3 - 8*d*v**2 + 69*v**3 wrt d.\nAnswer: 250*v**3 + 366*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4202 - 4207. Which is the second smallest value?  (a) 1  (b) 0.03  (c) -0.3  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -43 - -36033035?\nAnswer: 36032662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 5577 - 2471 = -l, 4*c = 4*l - 8048. Let t = c - -3160. List the prime factors of t\/35 + 1\/5.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.9 - -5.1. Let a = 2 + 0. Let c = y - a. Round c to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -231, -39, 3 in descending order.\nAnswer: 3, -39, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 694 + -713 - (47 - 0)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1558587 rounded to the nearest 1000?\nAnswer: -1559000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 5*t**4\/12 + 5*t**3\/2 - 12*t + 1. Find d such that y(d) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/6*z**5 - 1 + 2\/3*z**4 - 17\/6*z - 7\/3*z**2 + 0*z**3 = 0. Calculate z.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24255825*r**2 + 2979134*r + 9?\nAnswer: -48511650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58 + -34. Let r = 5 - 1. Suppose 3*b = -15, -4 = 2*o + 4*b + r. What is the greatest common divisor of n and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0089 + 4.9211. Let j = q - -0.07. Let p = j - 5.1. Sort p, 0.3, 1\/15 in decreasing order.\nAnswer: 0.3, 1\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.477219 + -0.4704. Round o to 4 dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -963 - -1320. Is 41 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 a factor of 123918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + o + 69 = 0, -91963 + 91924 = 13*o for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3309078?\nAnswer: 2, 3, 19, 29027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-1\/2))**(-19)*(s**(-1))**(-6\/25))\/((s\/((s**(-2\/3)\/s)\/s))**(3\/13)\/(s\/((s\/s**(-1)*s*s)\/s)*s*s**(-5))) assuming s is positive.\nAnswer: s**(-10469\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*p - 16 = 14*p. Suppose 0 = -p*k + 12 + 12. Is (538\/(-3))\/((-9)\/(81\/k)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**5\/2 + 33*c**4\/2 - 51*c**3 + 36*c**2 = 0.\nAnswer: 0, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.49851 and 2?\nAnswer: 0.99702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7510 divided by -751?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8521.126um?\nAnswer: 0.8521126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - -1649334?\nAnswer: 1649329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3366.736 decades?\nAnswer: 336.6736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 3*p - 3. Suppose 25*g = 5*z + 22*g - 18, -4*z - 2*g = -32. Calculate c(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide (2 - -5)*-1*-285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5074 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -1  (c) 0.5  (d) 3  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*d**2 + 12696610*d + 114269895 = 0. Calculate d.\nAnswer: -9, 2539331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -6*j**2 - 2. Let g be ((-2808)\/28)\/(-9) - (-2)\/(-14). Let x(o) = 3*o**2 + 1. Determine g*x(u) + 6*p(u).\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 1\/4, 0.15, 4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 422.11 + -428. Let x = -0.11 + m. Let w = -5 - x. What is the second biggest value in w, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19155*q**3 + 19136*q**3 - 38299*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -74 - -38. What is the remainder when 28 is divided by 9\/f + 77*(-1)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4920 - 4888. Let j = -1 + 10. Suppose -5*t + d + j = -0*d, d - 9 = -4*t. Calculate the lowest common multiple of t and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 9797a?\nAnswer: 97977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/990 and -13\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - 2) + 141 + -139.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 3*a - 34, -2*a + 4*k + 28 = -0. Suppose -a*r = -7*r - 25. Let o(p) = 6*p - 28. Let n be o(r). Solve -3*l = -5*y - n, 0 = -4*y + 5*l - 3*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 6) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 26244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.12792 + 0.1279210995. What is c rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a**2 - 375*a - 19974. Determine b(164).\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -5*1\/(-15)*-9. Suppose 0*f = -2*f + s + 8, f - 2*s - 1 = 0. Put o, f, 4 in descending order.\nAnswer: f, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of y**5\/60 - y**4\/4 - y**3\/6 - 2*y**2. Let v be f(5). Find the common denominator of -7\/2 and 458\/40 - v\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/56*-4)\/(1\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 168 and 66.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/4598 and 65\/67248258?\nAnswer: 739730838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 4*q - 7. Let a(p) = 3*p - 5. Let w(h) = 8*a(h) - 5*r(h). Let x be w(2). Let i be 0*(-4 - x\/(-1)). Solve i*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k = 6 + 50. Solve k*i = 3*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 + 6*s**2 - 10*s - 25. Let q be y(-7). Let t be (-16380)\/(-1104) - q\/(-46). Which is bigger: t or 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -18*g + 192. What is the lowest common multiple of 176 and a(8)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -56*w. Let a(l) = -19*l. Give -14*a(m) + 5*k(m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 244577 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 206421\/17 - 12138. Let n = b - 672\/187. Let p = 25339\/6 + -4214. Find the common denominator of n and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1704774\/13 - -153385343\/1170. Let s = v + 358\/9. Find the common denominator of 65\/12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from oxffxooofxfxfxff.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -4\/3387079?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -363336820*g**3 - g - 72301031.\nAnswer: -2180020920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of x**4\/6 + x**3\/3 + x**2 + 2. Let n(g) be the second derivative of z(g). Calculate the remainder when 41 is divided by n(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (6 - (17 + -24)) - (6 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + l - 163 = 0, -2*t = 21*t - 9*l + 8*l - 733 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -18*q + 14. Put 3, q, -1, 4 in descending order.\nAnswer: 4, 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 6*o**3 - o**2\/3 = 0.\nAnswer: 0, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**3 + 6*a**3 - 2*a**3 + (6*a + a - 5*a)*(-2*a**2 - 1 + 1) - a**3 + 2*a**3 - 7*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 9, r: 5, x: 2}. Give prob of picking 2 x and 1 r.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4216730 (base 8) in base 4?\nAnswer: 10101313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/504824 and -48\/5.\nAnswer: 2524120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*j + 33*j - 38*j = 398930. What are the prime factors of j?\nAnswer: 2, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 divided by 2?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152)*1*6)\/(sqrt(8) - (sqrt(16)\/sqrt(2) + sqrt(8))*6) - (6*(sqrt(171) + ((-2 + sqrt(171))*6 + sqrt(171) - sqrt(171))))**2.\nAnswer: -306828 + 199578*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3051.2 + 3050.2. Which is the second smallest value?  (a) 0.2  (b) 1  (c) 1\/3  (d) s  (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4\/5837, 0.5, 3, 43\/38, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -o, 0 = n + n - 2*o - 10. Suppose n = -2*a - 1 + 7. Let h = 203 + -201. Solve 0 = -p + h - a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3766, 43, -1.\nAnswer: -1, 43, 3766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 5*u - 68, 5*u + 3*y + 2*y = 70. Let v = -5 + u. Let m = v - -49. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/64 of a kilometer?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d - 11*d - 65 = 2*u, -2*u + 192*d + 900 = 0 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, -1\/9, 2010 in descending order.\nAnswer: 2010, -1\/9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by 3983749\nAnswer: 13\/3983749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -699 = -15*m + 516. Find the third derivative of -141*z**3 + m*z**3 + 30*z**3 + 78*z**3 + 3*z**4 - 158*z**2 - z**4 wrt z.\nAnswer: 48*z + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*(sqrt(396) + -4 - sqrt(396)) - (-5 + sqrt(396) + sqrt(396) + (sqrt(396)*-5 - sqrt(396)) + sqrt(396))) + -2)*2)**2.\nAnswer: -1296*sqrt(11) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 96 - 93. Suppose -3*d - 3*j + 1660 = -4*j, -5*j - 1652 = -f*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 281 divide 22487306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 4:16 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220658 is divided by 563?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -179*w**5 + 2*w**3 - 246*w wrt w.\nAnswer: -3580*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -19*t**2. Let c(r) = 169*r**2 - 171*r**2 - 3*r + 6 - r**3 + 5*r. Let k be c(-2). Let z(j) = -17*j**2 - 19*j**2 + 34*j**k. Give w(z(a)).\nAnswer: -76*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 45 = -2*z. Suppose -113 + 36 = 7*p. Let j = -9 - p. Solve t + j*t = -z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6472 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1\/(((-7)\/(-54))\/7) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 216568*-52\nAnswer: -11261536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 249, 621, 1103, 1695, 2397, 3209?\n\"Answer: 55*b**2 + 207*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*x - 1 - 359*x - 538*x + 432*x - 658*x.\nAnswer: -1102*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -88597*w**4 - 47852*w.\nAnswer: -1063164*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.178*-11418\nAnswer: 2032.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**4 - q**3 - q**2. Suppose 3*b + 7 = 10*b. Let f(h) = h**4 - 27*h**3 - 45*h**2 - 20*h. Let k(t) = b*f(t) - 3*u(t). Solve k(r) = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*n**3 - 21024*n**2 + 21024*n**2.\nAnswer: 33*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/120986 or 1?\nAnswer: 1\/120986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + -10015303?\nAnswer: -10015303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**4 - 10*x**3 + 8*x**2 + 64*x = 0.\nAnswer: -2, 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1553635034490 - 1553635818523.299987. Let p = c - -784030.1. Let w = -3.2 - p. What is w rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 7478 - 1336 = -3*m, -11756 = -4*n - 2*m. Is n a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 22*q**2 - 209*q - 462. Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 68236161 by 6.\nAnswer: 22745387\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/5))**8*f**(-1\/2)*(f*f**0)\/f)\/((f*f*f\/f**0*f)**(1\/52)*f**(-5)*f*f**7) assuming f is positive.\nAnswer: f**(-49\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2422, 2476, 2530, 2584?\n\"Answer: 54*a + 2368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 21*p**2 - 66*p + 116. Calculate r(18).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - (3 - 4))*(-5)\/(-3). Suppose -101*m**4 - 2400*m**2 + 45*m**l - 59*m**4 + 1125*m - 86*m**5 + 46*m**5 + 1430*m**3 = 0. Calculate m.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l = -727 + 267. What is the remainder when 208 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 363814501 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3437 - 36298?\nAnswer: -39724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4 + ((1*sqrt(160))\/sqrt(5))**2*1) + 5.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w - 5. Let c be s(4). Let i(d) = -d - 3. Let o(m) = m - 6. Let p be o(6). Let y be i(p). Is c equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (177*q**2 + 3400 - 3400)*(-q**2 + q - q) to the form w + i*q**2 + l*q + j*q**3 + y*q**4 and give y.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 4*n**2 + n - 2. Let p be s(4). Let m(y) = -y**2 + y + 2. Let c be m(p). Let g = 1586 - 1586.2. What is the closest to c in 4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3*s**2 + 2*s - 3. Let l(f) be the first derivative of 6 + f - 1\/2*f**2 + 1\/3*f**3. What is 3*l(c) + w(c)?\nAnswer: 6*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1212020001121 (base 3) in base 8?\nAnswer: 3612627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*(-4 - -2)*-7. Let u be (100\/14)\/(2\/q). Suppose u = 3*o - 2*o. Is 25 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8024\/165 - 146\/3. Let w = 27\/770 - n. Let y = 5\/21 - w. Find the common denominator of 17\/4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 12 = -4*g. Suppose -g*t + 22 = 1. Suppose -a - 3*a - 44 = -4*u, 2*a - 48 = -3*u. What is the highest common divisor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 71, 56, 7, -100, -289?\n\"Answer: -4*d**3 + 7*d**2 - 8*d + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22161 = 8*n - 65641. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425)*2*6*-2 - ((5*(sqrt(153) - (sqrt(153) - (sqrt(153) + 1))))**2 - sqrt(153))*1.\nAnswer: -3850 - 267*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 295 = 5*k + 5*p, -23 = 2*k - p - 132. Is 166\/3 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 6 = -w - 8, w + 4*x + 26 = 0. Let v be (56\/35)\/(4\/w). What is the remainder when 42 is divided by 140\/(-21)*9\/v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -10.\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1007352.85 to the nearest ten thousand.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**20)*l**(-2\/49))\/(l**(-5)*l\/(l\/(l**(-32)*l))) assuming l is positive.\nAnswer: l**(782\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 3. Let n(y) = 30*y + 70. Let d(u) = 25*h(u) + n(u). Suppose 5 + 1 = 2*a. Is d(a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f**2 + 15*f**2 + 4*f**2 - 7*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 146611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 642123?\nAnswer: 3, 71347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of -50*-3*312\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -922*c. Let s(f) = 5*f. What is -3*n(i) - 33*s(i)?\nAnswer: 2601*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 20 = g, -1 = -3*g + 4*u + 33. Let t be (-104)\/(-39) - (-3)\/9. Let c(a) = a + 3. Let x be c(-3). Solve -i + 6*z = t*z + g, -5*i - z - 6 = x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 + 0.5. Let c = -0.5 - 3.5. Let r = c + 3.7. What is the second biggest value in r, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3*t**2 + 4)*(-3 + 4 + 0) + 2*t**2 - 1 + 1 - 5*t**2 + 0 + 0 + (-t - t - t)*(-3*t + t + 0*t) - 2*t + 2*t + t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1909 * -0.1\nAnswer: 190.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1007823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3940 and 8?\nAnswer: 3948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1540 is divided by 419.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -1158*y + 22007. What is p(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 + 102021222102212000?\nAnswer: 102021222102211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -906 - -1756. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*((-2556)\/(-72) - 30).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 14) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -182, -177, -172, -167, -162?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31959 is divided by 150.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 54069058313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b**5 - 3*b**2 - 4. Let c(z) = 6*z**5 - z**2 + 5*z**2 + 5*z**2 + 12 - 1. Let n(s) = 11*a(s) + 4*c(s). Find the third derivative of n(f) wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 2\/117, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -170010?\nAnswer: -170011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d + 43*d - 138 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61340, -61297, -61254?\nAnswer: -61211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21674 + 47251. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-10)\/18)\/((-5)\/6))\/(28*20\/(-54600)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 2*b - q, 17450*b - q - 3 = 17455*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -50 + 52. Determine j, given that 24*j**4 - 48*j**4 + 30*j**h - 6 + 9*j - 7*j**5 + j**5 - 3*j**5 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**6 - 2*s**4 + 1092049*s**3 - 15755*s**2 - 475?\nAnswer: 120*s**3 - 48*s + 6552294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, q: 2}. Give prob of sequence ooqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l**3 - 4*l**3 + 5*l**3)*(3*l - 5 + 5) - 4*l**4 + 3*l**4 - 7*l**4 + (-3*l - 6*l + 5*l)*(2*l**3 - 3*l**3 + 4*l**3).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.23413  (b) -1  (c) -2\/5  (d) 1  (e) -0.5  (f) -9  (g) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (5 + 0 + (5 - 8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -39292, -39294, -39296, -39298, -39300?\n\"Answer: -2*p - 39290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 130 + -24. Suppose 4 = -5*r - o. Let i = r - -33. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 7*i**2 - 9*i - 4. Let u be f(-8). Suppose -3*v + o = -0*v - 156, 5*o - 189 = -u*v. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 145\/6 - 9\/54. Let o = t + -77\/3. Let h be 2\/(-2) - 4\/(-6). Which is the second smallest value?  (a) o  (b) 2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 43*c + 45*c + 186 = 0, 2*c + 26 = y. What is the remainder when 5999 is divided by y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4681 and -3.\nAnswer: -14043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6511.544ug in kilograms?\nAnswer: 0.000006511544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/418 and 71\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 44716, 44286, 43856, 43426, 42996?\n\"Answer: -430*o + 45146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -73*i + 71*i - 244 - 268 to the form j*i + r and give r.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -50880 to the nearest 1000.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 61 - 1426*z + 68 + 68 - 197 as k*z + p and give k.\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -2\/9, 0.2, -2, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1447 is divided by 700.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**2 - 54 + 54 - 4*x**2 + 6*x**2 - 4*x**2 + (-2 + 1 - 3)*(x**2 + 0*x**2 - 2*x**2).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -6*k. Let f(r) = -11*r + 2. Let d(j) = 55*j - 11. Let m(a) = -2*d(a) - 11*f(a). Let w(n) = -5*l(n) - 3*m(n). Let i(z) = -4*z. What is w(i(b))?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 10:11 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 93501.9 kilometers in millimeters?\nAnswer: 93501900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8491716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/(-6))\/(1\/(-6)). Suppose -2*j - 3 = d*a + 7, j - 15 = 3*a. Solve 3*w - 3 + 0 = j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.29 - 0.29. Let r = -24.45 - 0.55. Let z = r + 25. What is the nearest to u in 1\/2, 0.1, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/2*138\/(-2898)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 4*n = -17, -k = -0*k - 2*n - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133268.\nAnswer: 2, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -5, -0.11, -0.115 in ascending order.\nAnswer: -5, -0.115, -0.11, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7 or -7207?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*d**3 + 38*d**3 + 16*d**3 + 48*d**3.\nAnswer: 79*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3319 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o + 1. Let i be (-1 - (-7)\/(-3))\/(1404\/(-2106)). Give c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -9. Let u(z) = -z**2 + 1. Let v(a) = 2*a**2 + 3*a - 5. Let o(s) = f*v(s) + 6*u(s). Find n such that o(n) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-58 + 58 - 44*n)*(1 + 0 - 2)*(-4*n + 3*n + 4*n).\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.34 and 617?\nAnswer: -826.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 PM and 11:26 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -236?  (a) 1\/4  (b) 3  (c) -2  (d) 5  (e) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1957426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/95, -1, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 405000 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -8. Suppose 2*r - 2 = 3*l - 2*l, l + 2*r = 10. What is the lowest common multiple of l and 10*(b + -1)\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -29, 15, 49, 67, 63, 31, -35, -141?\n\"Answer: -d**3 + d**2 + 48*d - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(3*(-2 + sqrt(243)) - (-6*(sqrt(243) + sqrt(243) + -2 + sqrt(243)) - sqrt(243))))**2 + -2)*5.\nAnswer: -142560*sqrt(3) + 2358710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 11*a - 7. Let h be v(-8). Suppose 3 = 4*c - h. Suppose -26*m**3 - 4*m**c - 4\/3 + 53\/3*m**4 + 0*m + 41\/3*m**2 = 0. What is m?\nAnswer: -1\/4, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*n - 5*j + 5 = 0, 3*n = -11369*j + 11370*j - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 7*q. Let j(n) = -n**2 + 15. Determine j(w(i)).\nAnswer: -49*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 1 - (2912 - 2946).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-32)\/(-6))\/4 - 20\/(-12). Suppose 0 = u - 3, 0 = -b*n - 5*u + 2*u + 447. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 480072 and 9296.\nAnswer: 6721008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - n - 13 = 4*n, 5*n = 5*j - 25. Solve -7 - 1 = j*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45 + -30. What is the third derivative of -53*q**3 - d*q + 263 - 263 + 2*q**2 wrt q?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.268 - 122.732. Let o = h - -117. What is the nearest to o in -4, 0.4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3705872um to kilometers.\nAnswer: 0.0000000003705872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1145604 - -1145604.08200112. Let g = 0.05968 - 0.14168. Let b = g + j. Round b to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2297175.\nAnswer: 3, 5, 109, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5\/11, 3\/4, -3, -5, 0, 3464?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1112592 + -72310456?\nAnswer: -72310455.8887408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 112334.\nAnswer: 674004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-22 - (-13 - -11 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*o - 3*w, 0 = -5*w - 2 - 3. Suppose 3*m = r + 22, m - o*r = 3*m - 12. What is the remainder when 26 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 382427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of -a**5\/270 + a**4\/18 - a**3\/3 + 4*a**2. What is o in r(o) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(12) + 3)*3.\nAnswer: -24*sqrt(3) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3022.507us to seconds.\nAnswer: 0.003022507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 673755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 31*j + 8. Let x(h) = 10*h + 3. Let w be 6\/21 + (-162)\/(-21). Let o(c) = w*x(c) - 3*u(c). Let y(r) = 2*r**2. Give y(o(i)).\nAnswer: 338*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*c = 330*c - 472050. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -407656 at least -6114832\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -2442\/31 and -79 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 16*r**2 - 2*r - 3. What is the remainder when i(-1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 7*p + 9. Does 6 divide a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**3 + 71224*j**2 + 633537096*j - 10154835072 = 0?\nAnswer: -17814, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.005  (b) -4  (c) 6  (d) -3  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 (base 8) in base 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 21*s**2 - 85*s + 223. Let x be y(-9). Let l be (-2)\/4 + (0 - -2). Which is the second smallest value?  (a) -0.2  (b) -0.5  (c) x  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 47579473 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -7*j**2 + 5*j + 5. Let b be 17\/(-3) - 14\/42. Let o(r) = -8*r**2 + 6*r + 6. Let p(v) = b*c(v) + 5*o(v). Let i(t) = -2*t**2 + 49*t. Determine p(i(y)).\nAnswer: 8*y**4 - 392*y**3 + 4802*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/1 + 4)*(28 + -17). Let z(p) = -p**3 + 12*p**2 - 3*p - 22. Determine z(n).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-20) - (-31)\/36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80044840241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 202, 812, 2466, 5686, 10994, 18912?\nAnswer: 29962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -47, -1, 0, 128, -34 in increasing order.\nAnswer: -47, -34, -1, 0, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-20)\/(-45)*24 - (9 - -2). Which is the nearest to z?  (a) 0.5  (b) -801  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 15*g + 1. Let i(m) = -4*m. What is l(i(w))?\nAnswer: -60*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20784230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 1\/(-2) - 2*(-21)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 2454186?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3)*-4*-2*-6.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 167 - 350 + 23*c**2 - 22*c**2 + 37*c + 182 to d*c**2 + q + g*c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*p**2 + 10840902*p - 19710840 = 0. What is p?\nAnswer: -328514, 20\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xazx when four letters picked without replacement from xxfkkkfxxzxzoxakx?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1175 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 5*y. Let q(m) = -1180*m**2. What is q(f(a))?\nAnswer: -29500*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 51  (b) 119  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1551 - 0.18667?\nAnswer: -1551.18667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -17996\/15, -3\/2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (2 - 2 - (-1 + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 68  (b) -0.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11*4\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*c + c. Suppose 2*f = 2*s + s - 11, 10 = 4*s + c*f. Sort s, 4, -4 in increasing order.\nAnswer: -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 4*j**4\/3 + 1096*j**3\/3 + 9596*j**2\/3 + 14744*j\/3 - 8480 = 0.\nAnswer: -265, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6539.469 weeks in seconds?\nAnswer: 3955070851.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20846*m = -20676*m + 17850 for m.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3106 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -3*w, w = -4*u + 8. What is the third derivative of -30*q - 4*q**3 + u*q**2 + 30*q wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 227152.4 milligrams to nanograms.\nAnswer: 227152400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 23*a**2 - 104*a - 735. Let x(g) = -17*g**2 + 78*g + 551. Let h(y) = -11*v(y) - 15*x(y). Factor h(w).\nAnswer: 2*(w - 18)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -21949, -43893, -65837, -87781, -109725?\n\"Answer: -21944*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/63 - -65\/126. Suppose 3*v + 0 = 2*q - 20, 2*q = -3*v - 16. Let m be (v\/68)\/((-9)\/12). What is the second smallest value in 1, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1327 divide 2298117178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 802031.1kg?\nAnswer: 802031100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.2  (b) -2  (c) -0.07  (d) 0.18  (e) -15  (f) -5  (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2061*q - 221*q + 46107 - 15675 = -35746 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 269069436 to the nearest integer?\nAnswer: 16403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (665\/2394)\/((-15)\/(-4))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 1) + -11 + 13. Let j(i) = -2 + 2*i - i + o*i - 4*i. Calculate j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1072*s + 3*z + 255 = 1069*s, 2*z - 577 = 7*s for s.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 5*q**2 + 4*q - 2. Let b be m(5). What is the highest common divisor of b and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 PM and 3:27 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 29726858 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.33 + -38.33. Let j = -16 - -46. Let x = j + l. Which is the third biggest value?  (a) x  (b) 0.4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**3 - 9*s**2 + 9*s + 14. Give u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16375.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 11*c + 10. Let i be j(10). Suppose -4*l + 13 + 7 = i. Solve -l*f + 0 + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/2 greater than or equal to 73940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.051 + -0.451. What is the nearest to -3\/2 in 3, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from juuuuuuuuupuu. What is prob of picking 2 u?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 6*b - 5. Suppose 6*v - 3*v + 7 = q, -b*v - 5 = -2*q. Let h be (1 + -4 - -1)*q. Put -5, 8, h in descending order.\nAnswer: 8, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 0*p**3 + 3*p + 1\/6*p**4 + 0 + 1\/10*p**6 + 0*p**5 + 0*p**2. What is the third derivative of g(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34*h**4 + 7*h**3 - 22*h**2 - h - 2?\nAnswer: -816*h + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 5*i = -10*i + 9*i - 290, -r - 4*i - 31 - 27 = 0 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52899, -53091, -53423, -53901, -54531, -55319, -56271, -57393?\nAnswer: -58691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r + r + 2*r**2. Let o(c) = 29508 - 10*c - 29508. Determine g(o(a)).\nAnswer: 200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 - 29. Suppose -8 = 2*l - 5*h, -5*l + 5*h = 6 - 1. Suppose -2*g - d*t = l - 3, -t - 17 = 4*g. Which is the third biggest value?  (a) g  (b) 0.3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -120357 divided by -1\nAnswer: 120357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27114941*g**2*i**3 - 6*g**2*w**2 - 435*g*i**2*w**2 - i**3*w**2 - 70163*i**3*w wrt g.\nAnswer: -54229882*i**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 1, 0.11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 90*v**3 - v. Does 15 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -9*h**5 - 2418*h**4 - 20121*h**3 + 41748*h**2 + 106260*h + 46800 = 0.\nAnswer: -260, -10, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/90 and -131\/219390.\nAnswer: 658170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - ((-25 - -14 - -9) + -2 - (1 + -23)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r + r. Suppose s + 3*c - 27 = r, 2*s = -4*c + 62 - 12. Let w = 4 + -2. Solve -5*v = -4*l + s, -v + w = -4*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18347 or -80?\nAnswer: 18347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10a34 - -352b?\nAnswer: -9505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 4*s**2 - 6*s + 19. Let o(g) = 2*g**2 - 3*g + 9. Suppose -31*z - 77 - 229 = -27. Calculate z*o(q) + 4*m(q).\nAnswer: -2*q**2 + 3*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (3\/1 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 51517 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8154133 litres in millilitres?\nAnswer: 815.4133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 187 and 51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-2)\/4 - 63\/(-210)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -9*u**2 + 11. Let r(g) be the second derivative of 5*g**4\/12 - 3*g**2 + 14*g. Determine -6*l(v) - 11*r(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 880794, 881031, 881268, 881505, 881742?\n\"Answer: 237*x + 880557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 5:58 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10.05 - 11.05. Let l = -4.008 - -0.008. Which is the closest to 0.1?  (a) 1\/3  (b) h  (c) 2  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f**2 - 5*f + 2. Let u be s(3). Suppose l - 3*l + 16 = 2*i, -36 = -u*l - i. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 9*f + 2. Let y be r(9). Suppose -45 = -3*t - 3*j, 5*j = -y*t + j + 40. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(2) + sqrt(50) + 3 + -1 + sqrt(2).\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4886 - 2982. Suppose 0 = 14*b + 3*b - x. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 4*o - 5814992, -3*p - 7*o + 3488998 = -6*o. Round p to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/20)\/((-5)\/30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(96)\/sqrt(2) + -1*(sqrt(48) - sqrt(3)))*-2.\nAnswer: -6 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -7*y + 17. Let k be q(3). Let h be ((-2)\/(-4))\/((-2)\/8). Sort h, -6, k in decreasing order.\nAnswer: h, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -23 + -4 - (1 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34364623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20 + 44 + 48)*(-3 - h + 3) - 3*h + 2*h + 3*h to the form s + z*h and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -8 - 4. Let d(s) = 8*s**3 + 2*s - 1. Let k(g) = -g**2 + 9*g + 11. Let r be k(10). Let h be d(r). Solve 3*u + 3*c = 15, -c = -3*u + a*c - h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -268 = 447*n + 626. Let k = -0.01 - -0.04. Let w = 6.03 - k. Which is the third smallest value?  (a) n  (b) w  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of -5*r**7\/189 - 2*r**6\/135 + r**5\/30 + 2*r + 1. Suppose f(h) = 0. Calculate h.\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -252 + 1129. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67599234 to the nearest integer?\nAnswer: 8222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4959 and 25346.\nAnswer: 228114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)\/(sqrt(45)\/sqrt(5)))**2*5.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 53*g*i**3 + 3*g*i**2 + 4088*g*i - g - i**3 + 2*i**2 wrt i?\nAnswer: 318*g*i + 6*g - 6*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -1 + 72*n - 53*n - 67*n. Let c(k) = -k - 7. Let i(m) = m + 5. Let d(g) = -5*c(g) - 7*i(g). What is d(b(q))?\nAnswer: 96*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 22200.3901 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 7, f: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*r + 20 = -4*r, -4*r = 20. Suppose 5*f - 10*f = -l. Calculate the lowest common multiple of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001637694 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -0*n - p - 51, 19 = 2*n + p. Let d be (-2 + (3 - 1))\/1. Suppose 2*t + d*t = n. Solve -25 = -5*w, r + 23 - 3 = t*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -19 + 2*l - 17 + 6. Let p(h) = h**3 + 8*h**2 + 11*h - 3. Let v be p(-4). Let o be n(v). Solve -3*d - 7 = -g + 2*g, 3*g = -o*d - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36 + -94 - (-33 + -108)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -11524*h**3 - 12*h**2 - 4. Let f be o(-9). Suppose -k - 4*i = f, -i + 6*i - 25199975 = 3*k. What is k rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/48*(0 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1409 - 18319\/13. Let w = 4\/55 - 48\/55. What is the nearest to 1 in n, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1544076 or -1544083?\nAnswer: -1544076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -s**3*x**3 + 33*s**3*x**2 - s**3 + 3*s**2*x**2 + 165*s*x**3 wrt x?\nAnswer: -6*s**3 + 990*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 5, k: 4, w: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7617996?\nAnswer: 2, 3, 70537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 12 = -2. Suppose l = -5*q + 2*d, -3*q + 3*d - 9 = 3. Let u be (-1)\/2 + 5\/6. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 144 - 144. What is the nearest to q in 3\/5, 0, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - -4 - (6 + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*c + 53*c - 13 = 3*r, -5*c - 3*r = -7. Solve -2*q + 6*q = -4*o + 16, c*o = q - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98 - (-81)\/3591*4354\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/3)\/2)\/((-60)\/(-90))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(2\/15)*t)\/t*t*t)\/t**(-3))**14\/((t*t**(-1\/3))**(2\/55)\/(((t\/(t*t**(5\/2))*t)\/t*t)\/(((((t\/(t**(-6)*t))\/t)\/t)\/t)\/t*t))) assuming t is positive.\nAnswer: t**(22223\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/10 - 154\/(-35). Let m be (22\/3)\/(2\/18). Suppose n = f*n - m. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*y**2 + 0*y + 5\/4*y**5 + 0 + 1\/4*y**3 + 2*y**4.\nAnswer: y**2*(y + 1)**2*(5*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 5 + w**2 - 5. Let o(z) be the first derivative of z**3 - 2*z**2 + 4*z - 2. Let y(h) = -h**2 + h - 1. Let k(p) = o(p) + 4*y(p). Determine k(q(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2612 - -2614. Put o, 1, -35, -1 in increasing order.\nAnswer: -35, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 1 = 19. Let d(k) = k**3 - 9*k**2 - 8*k - 13. Calculate the remainder when d(y) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -50449402 not equal to -50449383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 86878, 86887, 86898, 86911?\n\"Answer: z**2 + 6*z + 86871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 (base 8) in base 14?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/50437814 and -37\/79259422.\nAnswer: 554815954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -33 + 93. Let j be (-42)\/r*(-1 - 1). Let o = j + 18. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 104759 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 20 = -92. What is the least common multiple of 18 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -35, -88, -143, -200, -259, -320?\n\"Answer: -h**2 - 50*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 + -1 + -22 + 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -900, -1\/2, 2, -1, -2\/3 in increasing order.\nAnswer: -900, -1, -2\/3, -1\/2, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6378600325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*((w\/(w**2\/w))\/w)\/w)\/w)\/w)\/w**(-2\/3))\/(w\/w**6*w**(2\/7)*w) assuming w is positive.\nAnswer: w**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or 38\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 96968146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-249)\/(-27) + 4\/(-18). Suppose y = a - 9 - o, -a + 3*y = -18. What is the remainder when 2 is divided by -3*2*(-3)\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 3*r + 4. Let a(n) = n - 1. Let j(s) = -3*s + 5. Let h = 33 - 34. Let b(t) = h*j(t) - 5*a(t). Calculate u(b(p)).\nAnswer: -6*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 10:59 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - -2 - (-8 + (-4 - -23))) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -221110?\nAnswer: 221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 89895 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 109, 212, 317, 424?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d - 25. Calculate k(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**3 + 28*k**2 + 107*k + 38. What is i(17)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 - 3)*(19*u + 60*u - 7*u) - 4*u + u - u.\nAnswer: 68*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v**2 + 78*v + 9. Let x be d(26). Is 11 a factor of ((-12)\/(-10))\/(x\/315)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 - i**2 - i**2)*(5*i - 2*i - i) + 4*i - 5*i**3 - 4*i + 3*i**3 + 4*i**3 - 3*i**3 + (-i**3 - i**3 + 0*i**3)*(1 + 3 - 5).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8324, 8349, 8374, 8399?\nAnswer: 8424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 11*g**2. Suppose -5*k - 14 = -14. Let s(f) = k - 41*f + 0 + 40*f. Give s(r(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.040099683 rounded to 4 decimal places?\nAnswer: 0.0401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 711\/650768 + -8425024951\/3145161744. Let w = -14\/537 + g. What is the common denominator of (-6)\/45*1 + 18\/(-540) and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = -2*l - 4*a, 2*a + 18 = -4*l. Let w(v) = v**2 + 6*v + 8. Let g be w(l). Suppose g = -7*y + 8*y. Solve 1 = -y*q + 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-3) + (-2)\/6. Let s be 76\/(-10)*(-2 + n). List the prime factors of (-4)\/(-8) - s\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/6 + 4\/9*6. Suppose -31 = -7*m - r. Solve -2*j + 6 = -m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -14*r - 59. Let s be -4*(-3)\/108 - (-2254)\/(-441). What is b(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -7, -6, 15 in descending order.\nAnswer: 15, -3, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**2 - 9*z**2 + 3*z**2 - 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 107*h - 50*h - 335*h - 156*h - 62*h.\nAnswer: -496*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/(j*j*j**(2\/7)*j*j)))**(1\/6))**(23\/2) assuming j is positive.\nAnswer: j**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**2 - 42*j + 19. Let g(n) = -n**2 - 21*n + 9. Let v(p) = -5*g(p) + 3*h(p). What is the tens digit of v(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -57 + 57. Suppose -5*o + 5*k + 10 + 5 = g, -3*o + 2*k = -4. Let c(s) = -54*s + 7. What are the prime factors of c(o)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - -23545179.17847.\nAnswer: 23545179.17847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 175072 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -171.3476 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -24 and -1.3?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 4) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7467*u + 18158 = 7474*u. What are the prime factors of u?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -380029, -380020, -380011, -380008, -380017, -380044, -380095?\n\"Answer: -f**3 + 6*f**2 - 2*f - 380032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlvvk. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 694 = 5*o - 641. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 456 and 1?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -148942 - -1823\nAnswer: -147119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-138)\/20 - -8) + 4\/10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 - 392*z - 30277. Calculate m(-66).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 166490419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 5:32 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 292 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -107, 14\/23, -2\/53?\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 12*a**2 - 4*a - 6. Let o(u) = -u**3 - 2*u**2 + 3*u. Let s be o(2). Let d be k(s). Suppose 766 = 4*f + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.5  (b) 2  (c) -8\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(21)\/sqrt(7) - sqrt(3)) + -5)*-3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 91771 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*b*j - 51*b - 52*j wrt j?\nAnswer: 2*b - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -45, -114, -231, -408?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2862, -1, 3, -422.\nAnswer: -422, -1, 3, 2862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 22 times -2.3\nAnswer: -50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.73 + 0.53. Let b = 7 - 1. Let h = b + -4. Put h, q, -1\/4 in decreasing order.\nAnswer: h, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 40*g**2*y**3 - 747*g**2*y**2 - 3*g**2*y + 19*g*y**4 wrt y?\nAnswer: 240*g**2 + 456*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -328, -652, -984, -1330, -1696?\n\"Answer: -n**3 + 2*n**2 - 323*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -22*u**3 - 4*u**2 + 4*u - 2. Let k(w) = 46*w**3 + 9*w**2 - 9*w + 5. What is -9*h(b) - 4*k(b)?\nAnswer: 14*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 6138223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*t + 3568 - 950. Which is greater: t or -475\/2?\nAnswer: -475\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -554 + 879. List the prime factors of 1\/(-2) + g\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -44*b**5 + 2538*b**3 + 9 - 2*b**2 - 6*b - b**4 + 121 - 2514*b**3 wrt b?\nAnswer: -2640*b**2 - 24*b + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 3*m**2 - 3*m + 1. Let y be 23\/5 - (-8)\/20. Suppose -y*k = l - 4 - 12, k - 32 = -5*l. Let s be o(l). What is the highest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -56, -53, -50, -47?\n\"Answer: 3*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -96.1 + -2.9. Let k = d + 99.07. What is the biggest value in k, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -45446?  (a) 0.2  (b) 19  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -823 at most as big as -823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 93828600 rounded to the nearest 100000?\nAnswer: 93800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 + 130*c**3 - 4 - 131*c**3 - 2*c**4)*(c - 3*c + 0*c).\nAnswer: 4*c**5 + 2*c**4 - 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (16\/20)\/((-7)\/(-35)). Suppose -3*j - 4*o = 3 + 4, -t*o = -j + 19. Solve j*x + x = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 388434617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of 45\/2*d**2 + 10 + 2*d**5 + 2*d + 1\/6*d**6 - 25\/6*d**4 - 20\/3*d**3. Factor t(a).\nAnswer: 5*(a - 1)**2*(a + 1)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/145044 and -79\/102.\nAnswer: 145044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*s - 1871*q + 3734*q - 1867*q = 58, 0 = -s + 4*q - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 135698 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000019587869 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 - 106 - (4 + -2 + 3 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (-3*sqrt(288))**2) + -1.\nAnswer: -2593 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-2)*(-20)\/35. Let s(i) = -i**2 + 2*i - 10. Let k be s(7). Let x be 10\/8*6\/k. What is the closest to g in -0.2, -1, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**3 + 4*t**3 + t**3)*(-12 + 12 - 2*t)*(4 + 2 - 3).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1173 and 7854.\nAnswer: 180642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22218, -177223, -597946, -1417245, -2767978, -4783003?\nAnswer: -7595178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000896 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*w - 4*w + 4*w)*(149*w + 60 - 121*w - 61) in the form h*w + c + x*w**2 and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 18 and -3059.728771.\nAnswer: -3041.728771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2394*h + 16253 = 169469 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nynyyycyyycycnyyyyy. What is prob of sequence cny?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-43)\/((-3870)\/108)*(-80)\/408\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46185924?\nAnswer: 2, 3, 3848827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21, 30, 25, 0, -51, -134, -255?\n\"Answer: -v**3 - v**2 + 19*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43.889 - -0.111. Let g = -44 + w. What is the nearest to -0.4 in -1\/10, 4, g?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**2 + 20650*i - 21178320.\nAnswer: -5*(i - 2234)*(i - 1896)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11, 5, -7, -25?\n\"Answer: -3*y**2 + 3*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of 60*j + 90*j**2 + 0 - 5\/4*j**4 + 130\/3*j**3. Factor c(t).\nAnswer: -5*(t - 18)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i = -18*i - 720. Let c = 17 + i. Which is smaller: -271\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64348*m**3 - 128694*m**3 + 35*m + 64344*m**3.\nAnswer: -2*m**3 + 35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*v + 2436 = 67*v - 6*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9861*t = -1189*t + 381978 + 372486 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-63*h**2 - 1742*h + 1742*h)*(-12 + h + 0*h + 4) as r*h + f*h**2 + g + s*h**3 and give f.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o + 18. Let q be a(-10). Let i be (q\/24)\/((-1)\/(-84)). What is the highest common divisor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m + 1. What is c(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of 0*l**6 + 0 + 0*l**3 + l + 0*l**2 + 0*l**5 + 1\/4*l**4 + 5\/42*l**7. What is the third derivative of j(x) wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5\/24  (b) -1  (c) -2  (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 1136226?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 8:04 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 234\/(-208)*-18*(-42)\/(-567)*106\/(-3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/8)\/((-88)\/(-64)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 0.1  (b) -0.06  (c) -2  (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1170a7 (base 11) in base 7?\nAnswer: -1400504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-672)\/(-18))\/8 - (2 + 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8512547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 0\/13 - 10983\/((-3)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 736*u + 8*u**3 - 249*u - 245*u - 242*u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 474 by 237.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15164619817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 62172125?\nAnswer: 62172132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/(-24) + (-83)\/8 and -59\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, d: 19}. Give prob of sequence md.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 255 divide 2415870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-3\/5)\/(y**(-2)*y)*((y\/(y\/(y**(-1)\/y)))\/y)**(-34) assuming y is positive.\nAnswer: y**(512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, m: 4, u: 13}. Give prob of sequence umuy.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3952145 is divided by 41168?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**7\/147 + 2*l**6\/105 - l**5\/10 - 4*l**4\/21 + 4*l**3\/7 + 4874*l. Determine j, given that k(j) = 0.\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120 (base 3) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 5) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 3:54 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -1, 3\/2, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of -h**3\/2 + 9*h**2\/2 + 7*h. Let f(o) = 2*o - 5. Determine -3*b(t) - 5*f(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 24600.2 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 15*l + 79. Let a be u(-5). Solve 0 = a*f - 5*g - 19, 6 = f - 2*g - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-24)\/(-448)*63)\/((-1)\/(-8)). Let x = 8 - 3. Solve 5*h = x*f, -4*h + f - i = 6*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1618*m - 1673*m + 3387*m + 576 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11413391.\nAnswer: 11, 53, 19577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/64 and -81\/8549408.\nAnswer: 17098816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 2, f: 1, r: 1, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/5 + 3524*d\/5 + 1552322\/5.\nAnswer: 2*(d + 881)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2643?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2. What is u(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u**2\/4 + 75*u\/2 = 0. What is u?\nAnswer: -150, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6 and 1031.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-24)\/(-40)*(-80)\/(-64) + (-16)\/(-6)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 42, 2\/111, -2\/3, 1\/134, -1, 4?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7738758?\nAnswer: 2, 3, 429931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 11 + 6*q - q**2 - 22 + 11. Let s be u(5). Solve p - 14 = -s*l - 0*p, -p + 8 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 15*b**2 + b + 30. Let l be r(-15). Let t be (-122)\/(-240) + l\/(-40). Put 3, t, -5 in ascending order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 6*g**2 - 3*g - 1. Let v be -1 + (-6)\/(-2) + 3. What is the units digit of z(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 4 + 2 + (-2 + 2 + 2)*(2 + 1 - 1) - 3 + 1 + 3)*(-3 + 5 - 1) - 20 + 3 + 45)*(4 + 2 - 3)*(0*o**4 + 0*o**4 + 2*o**4).\nAnswer: 210*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.4 + 2.4. Which is smaller: r or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.049  (b) -12  (c) 5\/2  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -97753 and -5?\nAnswer: 97748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)*2*5 - sqrt(108))\/(-6*sqrt(225)))\/(4*(sqrt(4) - sqrt(576)*3)*2).\nAnswer: 3*sqrt(3)\/2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 419, 3745, 13101, 31607, 62383, 108549, 173225, 259531?\n\"Answer: 520*z**3 - 105*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1777 - 694 = -7*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 998 is divided by 102.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g + 17. Determine t(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16904 divided by 6.\nAnswer: -8452\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*l - 407, 0 = -2*l - 0*y + 3*y + 273. Let i = l + -124. Solve i*q = 3*r - 2, q - 18 = -3*r - 2*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5325?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 641 a factor of 274025577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fourty-nine quarters of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = -3*w - 2, 1130*w = -4*v + 1134*w + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (-3)\/(-6)*14. Let o be (18\/(-15))\/((-2)\/l). Suppose -2*p - o = 0, 2*z - 17 = p + 16. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -4.3, 4 in ascending order.\nAnswer: -4.3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39372480 divided by -8680.\nAnswer: -4536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9940090 and 750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 26*y**2 + 104*y**2 + 67*y**2. Let i(l) = -29*l - 33*l - l**2 + 20*l + 42*l. Calculate i(b(w)).\nAnswer: -38809*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 22257690449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 2*t - 29 + 61, -3*i + 19 = -t. Let n(z) = 3*z**2 - 6*z + 1. Calculate n(i).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 380\/(-6)*((-135942)\/(-815))\/139.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 789, -5, -4 in decreasing order.\nAnswer: 789, -1\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -6*-6*33\/(-44)*-1 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -6*i + 8. Let x(c) = -7*c + 7. What is -3*a(y) + 4*x(y)?\nAnswer: -10*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 2*s + 0*s)*(s**2 + 6*s**2 - 4*s**2) - 685 + 16*s**3 + 1369 - 685.\nAnswer: 22*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 3*d - 36, -d - d - 2*p = -14. Suppose -o - 6 = -d. Suppose -75 = -2*x + y, o*x + 5*y - 30 = 85. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25\/4, 7\/25, -621 in descending order.\nAnswer: 7\/25, -25\/4, -621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*o**4 - 251789*o**3 + 1338083?\nAnswer: -8*o**3 - 755367*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 10. Let b be n(-10). Let l(a) = -5 - 11*a + b*a - a + 4*a. What are the prime factors of l(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -22 + (-7 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5.03 * 5375\nAnswer: -27036.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 12 = -4*s, s + 2 = -q + 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -24*j**3 + 3*j**2 - 389*j + 3. Let l(y) = 23*y**3 - 3*y**2 + 383*y - 2. Let q(w) = 3*l(w) + 2*p(w). What is the second derivative of q(b) wrt b?\nAnswer: 126*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.0907 - -9215\nAnswer: 9216.0907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*h**2 + 35*h**2 + 13*h**2 + (2*h**2 - h + h)*(1 + 3 + 1) to a*h**2 + r*h + x and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 17552500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-1660\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 - (-86 - -31) - (1 + 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 49 = -2*k, -2*z + 6*k = k - 28. Suppose -z*a = 2*a + 22. Let g = -10 + 5. Put a, -3, g in decreasing order.\nAnswer: a, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72675 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of 0*s + 1\/120*s**5 + 0*s**2 - 8 - 7\/3*s**3 + 5\/24*s**4. Let y(g) be the third derivative of w(g). Determine y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**2\/5 - 13549*g\/5 = 0. Calculate g.\nAnswer: 0, 13549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 391060470, 391060468, 391060466, 391060464, 391060462, 391060460?\n\"Answer: -2*p + 391060472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84 + 87. Suppose 18 = j*z - 4*o + 8*o, 8 = -2*z + 4*o. Suppose -f = -q - 2*q - 46, -z*f + 4*q + 86 = 0. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -16 + 11. Which is greater: v or 1\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -39, -1.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/5)\/(2\/5). Suppose 8*b + 4 = 6*b. Let f be (65 - 73)*6\/(-16). Put b, -5, o, f in descending order.\nAnswer: f, o, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 20*l - 41*l + 20*l. Let w(c) be the second derivative of 7*c**4\/6 + 4*c. Calculate y(w(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**3 - 33*x**2 - 94*x - 10. Let v(g) = 12*g**2 - 2*g. Calculate the remainder when v(-2) is divided by i(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 5 - -2 - (6 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 39338*b**6*p - 2268*b**6 - 89*b**2*p - 7*b - 32074*p wrt b?\nAnswer: 4720560*b**3*p - 272160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 - 35039615*p + 35039615*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 7:18 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 35409994 divided by 57671\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 247183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 357295 and -809 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 7*a**3 - 2*a**2 + 1. Calculate the least common multiple of 1\/45*-6 - 3173\/(-285) and y(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.59 + 3.28. Let j = 0.282 - -0.028. Let z = j + x. Which is the smallest value?  (a) z  (b) -0.1  (c) 4  (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - n = 3. Which is the closest to 0?  (a) n  (b) -4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1 + sqrt(500) - sqrt(500))*2 + 1 + sqrt(500) + 1)**2 + (-2 + -1*sqrt(180) - ((2 + sqrt(20) + sqrt(5))*-1)**2).\nAnswer: 142*sqrt(5) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = 2 + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -28744, -57523, -86302, -115081, -143860?\n\"Answer: -28779*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -748311 or -748312?\nAnswer: -748312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (23596\/(-74952))\/(1\/(-12))\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x + 17. Let p be y(15). What are the prime factors of 5 - ((-2)\/1)\/p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 255213.\nAnswer: 3, 7, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 3*g = 4*c - 13, 0 = -5*g - 4*c + 33. What is the greatest common divisor of g and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nubnbbqbgggggnb. Give prob of sequence ubq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + g**2 + g - 147. Suppose 0*p + 12 = 3*p - 3*x, p + 4*x = -16. Let c be d(p). Let m be (-7)\/(c\/(-48)) + 2. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 2 j, and 1 m when four letters picked without replacement from djjjjjjjjjjdgdmfdjvj.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 + -90. Let i be 1\/4 - b\/8. What is the first derivative of 1 - 1 + 2*a**i - 4*a**4 - 6 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -405582, -811175, -1216770, -1622367?\n\"Answer: -x**2 - 405590*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 65 + 32?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l - 2 - 3*l - 7 + 28. Give g(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*y - 9 = 0, 4*y - 11 = -0*l - 5*l. Let x(n) = -n**l + 0*n**2 + 4*n**2 - 4*n + 1 + 2*n**2. Let p be (0 - -1) + (3 - -1). Determine x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*f + 3*t, 3*f + f + 21 = -5*t. Let p(d) = -d. Let k(q) = 5*q - 2. Let w(h) = -5*h + 2. Let g(b) = -4*k(b) - 3*w(b). Give f*g(v) - 3*p(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -21*u + 83 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 - -32. What is the third smallest value in j, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.7 + 126243.1.\nAnswer: 126247.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*x**2 - 7 - 9*x**2 + 4.\nAnswer: -27*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2084395670?\nAnswer: 2, 5, 7, 17, 31, 56503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 2 + 0)*(-16*h + 12*h + 13*h)*(-8 + 3 - 1) as b*h + w and give b.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 69430591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19059 is divided by 1748.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*n**3 + 32*n**3 - 18*n**3)*(-33 - 11*n**2 + 33).\nAnswer: -286*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u + 47*u + 3 - 14*u.\nAnswer: 23*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12 + 11)*(-1 - (112 - 0)). Suppose 0 = -5*y - 4*c + 256, 4*c = 4*y + w - 289. What is the remainder when y is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4889 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 330231123 - 23?\nAnswer: 330231100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -49 - (-17 + 17 + -63)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1213*k + 3 + 1 - 18*k**2 + 1219*k - 6)*(-2*k**3 - 24*k**3 + 10*k**3).\nAnswer: 288*k**5 - 96*k**4 + 32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 - 5*w + 7. Let j be q(-5). Let v = 5 - j. Calculate the remainder when 10 is divided by 42\/10 + v\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*c**3 - 31 + 31 + 57*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 115305905 and 20964710?\nAnswer: 230611810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1911211\/188760 + -2\/23595. Let q = h + -211\/8. Calculate the common denominator of (-4)\/(-18)*(-67)\/(-2) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 11 = -v - 4*v, 5*c + 2 = -v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**2\/2 + 78535*c + 22440561\/2 = 0. Calculate c.\nAnswer: -156927, -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 219016 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -34*z**6\/21 - 8*z**5\/35 + 17*z**4\/7 + 8*z**3\/21 + 8. Suppose s(k) = 0. Calculate k.\nAnswer: -1, -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2359 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -344*n**3 + 1. Let v(j) = j**3 + 1. Calculate g(y) - v(y).\nAnswer: -345*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 284469469?\nAnswer: 83, 3427343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 4, -5 in decreasing order.\nAnswer: 26, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 32091500 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 403*k**3 + 12*k**2 - 5790*k + 1?\nAnswer: 2418*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 734374769 to the power of 1\/2, to the nearest integer?\nAnswer: 27099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 48 = -7*z. Suppose -3*h = r - 146, 15*r - 12*r = z*h + 425. What is the greatest common factor of r and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 647599 = 7*t - 687182 + 35630. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 3\/2, 2\/7, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2543 divided by -1?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1153 = -236*l + 6430 - 1683 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 30\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 - 52*o**2 - 284*o - 2302. What is d(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 152817\nAnswer: 1\/21831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 432858 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.022?  (a) 0  (b) 4\/3  (c) 5  (d) -1\/42  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 10 + 534 + -533.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 4*v**2 + 2*v + 2. Let b be n(-1). Solve 0*k - b*k + 5*l + 13 = 0, -2*k = -2*l - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1627586 and 121779?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 302563*a = 302558*a + 276, 207 = 3*u + 2*a for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 840409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3629 - 91*k - 3587 + 7216.\nAnswer: -91*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 352151761 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.4  (b) -1\/2  (c) 3\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4, 6, 12, 22?\n\"Answer: 2*t**2 - 4*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence au when two letters picked without replacement from {r: 1, k: 1, v: 3, u: 3, i: 4, a: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**4 + 654*k**3 + 224223*k**2 - 224874*k = 0. What is k?\nAnswer: -186, 0, 1, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -77, -113, -147, -179, -209, -237?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -5, 48 = -18*a + 20*a - 2*v. Solve 2*q - a = 6*q - 5*g, -5*q = -5*g + 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -6 - 22. Let h be (a\/5)\/(1 - (-28)\/(-20)). Calculate the greatest common divisor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 26125 + 6641?\nAnswer: 34766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -257 - -443. What is the remainder when m is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 + 78*p - 1273. Determine f(55).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10388 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/2 - -1) + 4. Let f(p) = -2*p - 5 + v*p - 2*p + 4*p. Suppose c = 4*c - 12. Calculate f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 530 divide 7054885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9737746 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c. Suppose -21 = a - 4*a. Let p be ((-25)\/(-30)*6)\/(5\/2). Let i(h) = -h**p + 2*h**2 + a*h**2. Calculate g(i(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 125 + -66. Let f = q + -60. Let o = 4.07 - 0.07. Which is the third smallest value?  (a) 10  (b) o  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) 0.2  (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 29642.397 months in years?\nAnswer: 2470.19975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -258 + 260. Suppose -42 = 14*u - 15*u + b*d, -2*d + 72 = 2*u. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -11. Let o(i) = 39. Let t(z) = -18*j(z) - 5*o(z). Let h(b) = -b - 1. Let a(g) = 2*h(g) - t(g). Let d(k) = 1. Determine -a(r) - 4*d(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 443 - 457.35. Let u = b + 15. Round u to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ioi when three letters picked without replacement from {s: 2, o: 1, i: 4, t: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 0 + 0 - 27*p. Let k(h) = 359 - 359 + 2*h**2. Give k(d(n)).\nAnswer: 1458*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence te when two letters picked without replacement from {c: 1, y: 1, t: 1, k: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 51*y - 20*y - 62. Solve y*b = 5*s - 2*b + 17, 0 = -4*s + 4*b - 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (18\/7)\/((-108)\/(-69804))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*n**4 - 446296*n**3 - n**2 + 34*n + 6313 wrt n?\nAnswer: 168*n - 2677776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5*(-8 - -4 - -3). Suppose z + 0*z = -h*a + 25, 0 = -5*z - a + 197. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25 in -0.08, 5\/6, -35, 3, -76?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -476*t - 502*t - 12287 = 139*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (2 - 1) - -1. Let z be (7 - (-540)\/(-84))*154\/4. Solve -z = -2*i - 4*h, -2*h + 7*h = l*i + 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -89 + 85. Which is the closest to -0.1?  (a) h  (b) -10  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13311441 (base 5) to base 13\nAnswer: 49737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 7*a = -8. Let j(l) = -l**2 + 4*l. Let c be j(3). Solve -2*o - a*z - 30 = 0, 5 = -2*o - 2*o + c*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-148 - -164) + -1 + -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -310.36 - -316. Let x = 31 - 38.2. Let r = x + f. Round r to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 20 - -2037?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 159*d**4 - 247.\nAnswer: 636*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**2*w*w**6)\/((w*w**(2\/19))\/(w**(2\/7)\/w)))\/(((w\/(w**5\/w))\/w*w\/(w**(2\/7)\/w))\/((w*w*w**1*w)\/(w**5*w))) assuming w is positive.\nAnswer: w**(993\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - (sqrt(132)*-1 - sqrt(132)))*-3*5)\/((sqrt(144) - sqrt(36))\/sqrt(3) - -1*(sqrt(12)*1 + sqrt(12))).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1940577*h**2*j*t**2 - h**2*j*t + 8*h**2*t - 7204*h*t**2 + 2*h wrt j?\nAnswer: -1940577*h**2*t**2 - h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 - 9*o - 4. Let a be b(10). Suppose -a*p + 8*p = 52. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.19517536 rounded to 4 decimal places?\nAnswer: 1.1952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1aa26 - -10?\nAnswer: 1aa36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o + 1708*o**4 + 2*o**2 - 8*o**2 - 1710*o**4 - 6*o**3.\nAnswer: -2*o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 47 + -97. List the prime factors of a\/(-15)*(-12)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -820.\nAnswer: -1\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 5:12 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 5*g**2 + 3 + g**2 + 4*g**2 - 3*g**2 + (-3*g + 4*g + 3*g)*(-2*g - 3*g - 6*g) + (7*g - 9*g + 8*g)*(0*g - 2*g + 3*g).\nAnswer: -41*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 9:09 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75*o**2 - 2015*o - 270.\nAnswer: 5*(o - 27)*(15*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*r**4 + 5*r**4 + 6*r**4 - 30 + 8*r**4 wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 4*v - 13. Let b(x) = -6*x + 19. Let j(f) = 5*b(f) + 7*w(f). Let i(t) = -t + 1. Suppose -3*c - 4*p = -13, 0 = p - 1 - 0. Determine c*i(o) - j(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (28 - 25) + (-3 - -19). Solve d = -3*g + 16, a*d - 3*g = 16*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10 - -553?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2023000 (base 5) to base 14.\nAnswer: bda3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/2610 and -52\/68121.\nAnswer: 681210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 4779*v - 13. Let m(j) = -9542*j + 30. What is -3*m(n) - 7*x(n)?\nAnswer: -4827*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**(-2\/5)*j)**29\/(j\/j**(-2\/9))**5 assuming j is positive.\nAnswer: j**(3118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31.489524 + 37.7891. Let t = -6.3 + j. Round t to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (304 - 3)*((-702)\/(-14) + (-30)\/10)?\nAnswer: 2, 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 x when four letters picked without replacement from {j: 7, c: 2, m: 2, x: 5, v: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-97 - (-2 - -3))*1. Let h = k - -143. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1494 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 + 0 + -1 - -20.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**2 - 45*c - 1660. Calculate y(-19).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 85*j**3 - 2285*j**2 + 9260*j + 79040 = 0.\nAnswer: -4, 13, 304\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.002 + -160.002. Put n, -2, 17 in decreasing order.\nAnswer: 17, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 5*g - 20, -s - 5*g + 9*g = 16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1034 and 940.\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3 + -2 + -2 + 6*sqrt(1377)*-2 + 2)*3.\nAnswer: -12 + 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19546 * -1.\nAnswer: -19546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1*2\/(-6) - (31 - (-6375)\/(-225))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 145 - 144.732. Let g = 0.26799817 - s. What is g rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -497040 = -513*a + 497*a. List the prime factors of a.\nAnswer: 3, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 801ec + -3?\nAnswer: 801e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*c**4 + 827*c**2*u**2 + c**2*u + 7*u**2 + 2*u + 1673 wrt c.\nAnswer: 32*c**3 + 1654*c*u**2 + 2*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of -d**5\/20 - 5*d**4\/6 - 5*d**3\/3 - 7*d**2\/2 + d. Let k be t(-9). Suppose 5*x - k*x = 135. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**2 - 1. Let z be d(1). What is the second smallest value in -2\/9, z, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of 35*c**4\/12 - 15*c**3\/2 + 5*c**2 + 9*c. What is j in m(j) = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0202 and 0.7.\nAnswer: -0.01414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 419172259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -71243, -69123, -67001, -64877, -62751, -60623?\n\"Answer: w**2 + 2117*w - 73361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -66 (base 7) to base 2.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 284 - -1952. Does 43 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/34*17448\/30534?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3171 + -3185.3. Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 234851 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((18\/21)\/(5\/7))\/((-8)\/(-5)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4\/7, 7.5, -2\/15 in descending order.\nAnswer: 7.5, 2, 4\/7, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -1834\/16915?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.666*-10.\nAnswer: -76.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1281 + -1136. Is -1\/3 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 2*n - 1 = -4, -4*n + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 17*h + 80. What is a(-15)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23916.98 + -23667. Let p = 250 - f. Let n = -2.04 - -2. What is the second smallest value in -2\/3, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6*(-4)\/((-256)\/20) and -87\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 30579 or 30578?\nAnswer: 30579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - 2. Let p = u - -14. Let q = 2 - p. What is the nearest to 0 in 1\/2, -0.03, q?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 0*p = 10. Solve -p*x - 5 = 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121112 (base 3) to base 14.\nAnswer: -23c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, c: 2, x: 9, t: 1, b: 1}. Give prob of sequence xxt.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 3. Let l = -2500 + 2502. Solve -l*k + 3 = i*s, 0 = s - 3*k - 0*k - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (12\/(-32))\/((-18)\/(-516)*-40) and 13\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*h - 69 - 104 - 267 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1700)*-1*-5*-2)**2.\nAnswer: 170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 42\/12 + 10\/4 + -1. Suppose -s*q + 170 + 280 = 0. What is the units digit of 15\/q + (-329)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -138*w + 63. Let n be y(-22). Let r = n - 266. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 20*l + 4. Let v be s(20). Suppose 3*d = 4*u + 56, 9*u + 26 = d + v*u. Solve 0*n + 31 = 5*c - 2*n, 2*n = 2*c - d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -568, -1196, -1826, -2458, -3092, -3728, -4366?\n\"Answer: -l**2 - 625*l + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**4 - 435*p**3 - 16623*p**2 - 45981*p.\nAnswer: -p*(p + 3)*(p + 39)*(p + 393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + d + 24. Is 6 a factor of d*(-1 + 0\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/256060 and -89\/3658.\nAnswer: 256060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.265361ml to litres.\nAnswer: 0.009265361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 94410 < 94409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*n - 3*b + 12, -4*n = -b - 19. Suppose 5*t = j - 34, -t - 43 = -j - n*t. Let h = j - 15. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000716197873 rounded to 6 decimal places?\nAnswer: 0.000716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7, -54, -187, -448, -879, -1522, -2419?\n\"Answer: -7*d**3 - d**2 + 5*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 188 and 50243?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 5. Suppose 0*h + 2*h = -g + 44, 5*g + x*h = 196. Suppose -2*k = -0*k + 2*v - g, 3*v = 6. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11731456067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 7*p**2 + 7*p + 12. Let a be s(8). Solve 0 = -a*n - 5*v + 18 + 19, 4*v = 5*n + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**8\/168 - f**6\/90 + 5*f**3\/2 - 7*f**2. Let y(h) be the first derivative of u(h). Find the third derivative of y(o) wrt o.\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 161 + -10?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*f - 120 = 0. Let b be -3*(-3 - 42\/9). Suppose 6*h = 2*n + h - 43, 2*n - b = h. Calculate the remainder when f is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - q + 1. Let n be (1 + 0)\/(1\/1). Let v(f) = -f**2 - f + 1. Let w = 6 - 7. Let g(a) = n*m(a) + w*v(a). Find z such that g(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 598762261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3385167267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0352 - 0.3.\nAnswer: -0.3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*c - 10 = 20*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 + 0)*(o**2 + 0*o**2 - 26 - 2*o**2)*(-224*o + 473*o - 236*o - 24) to the form u*o**3 + g*o**2 + v*o + w and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppeepp.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-4*(sqrt(34) + (sqrt(1224) - ((sqrt(1224) + (sqrt(1224) - sqrt(1224)*-2) - sqrt(1224)) + sqrt(1224) + sqrt(1224))))\/(1*sqrt(2)*-2 - sqrt(2)))**2.\nAnswer: 143915\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15.1 + 18.38. Let u = m + -2.9. What is u rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 14*g**2 - 74*g - 452. Calculate i(-9).\nAnswer: 1348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 15 = -16*l + 18*l, -5*z - l + 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.04292534493+5\nAnswer: 5.04292534493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -11) + 12 - (88 - 92)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 611*v**2 - 17*v**2 - 2 + 213*v**2 + 0 - 43*v**2 to the form m*v + f + w*v**2 and give w.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.5  (b) -41138  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -122 in 2\/7, -1, 1\/6, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -298 + 302. Let y = 18 + -12. What is the greatest common factor of y and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ym when two letters picked without replacement from ccmay?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 102 divided by 3\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -222111021 (base 3) to base 10.\nAnswer: -19312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28 + -95 - (-228 - -139).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/22?  (a) 0.055  (b) 1  (c) 16  (d) -3  (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (18 + -5 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, c: 1, g: 1, j: 2, h: 1, y: 2}. Give prob of sequence hycm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4, 16, 36, 56?\n\"Answer: 20*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16199.\nAnswer: 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-162)\/36*(-2)\/3. Solve -h*u - 19 = -4*s, -4*s = 4*u - 0*s - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18543\/460 - -880\/23. Let z be (2\/10)\/((-2576)\/(-49165)). Let f = z - 3\/644. What is the common denominator of i and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/3)*k)\/k*k\/k**(-2)*(k**1*k*k)**(1\/17))**(2\/17) assuming k is positive.\nAnswer: k**(256\/867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -2*o + 16, -5*k + 10 = -4*o + 38. Let y = 5.095 - 0.095. What is the biggest value in k, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) 24  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**3 + 2*x**4 + 0 + 4*x + 2*x**4 + x**4 - 2*x**4 - x**2 - 6 to z*x + f + g*x**4 + j*x**3 + y*x**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -396*m + 13 = -409*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -15*u - 138. Let a be y(-10). Solve 8*g = 4 + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 469 + 418 = t, 5*b - 3*t = 2234. Let d = b + -439. Let l(a) = -a**2 + 2*a + 3. Determine l(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8\/25?  (a) 4  (b) -16  (c) -2\/7  (d) 1  (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.9 - 3. Let f = 0.04 + 0.66. Let u = f + 0.3. What is the closest to t in -2, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - j + 1. Let l(x) = 5*x**2 + 7*x - 7. Let n(u) = 2*l(u) + 14*m(u). Let t(b) = 5*b - 3*b + 0*b. Give t(n(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1\/10  (b) -4  (c) 15  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27490811.\nAnswer: 29, 947959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22403 - 672163\/30. What is the common denominator of d and -107\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*n - 3*n - 30. Let g be (5 - n)\/((-1)\/(-7)). Is g smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - ((-1*sqrt(35))\/sqrt(7) + sqrt(5))) + sqrt(5)*-2 + 5.\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3 + 0*k - 2*k + 3*k. Let m be u(5). Suppose 11 + 3 = m*b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15975 and 2895700?\nAnswer: 1850352300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 26 = -54. What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13193, -83, -78 in descending order.\nAnswer: -78, -83, -13193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 333433 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in -475, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of 3*l**5\/20 - 7*l**4\/24 + 7*l**3\/6 + 3*l**2. Let v = 7 - 10. Let k(b) = -4*b**2 + 3*b - 3. Calculate v*z(s) - 7*k(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 7*w**3 - 5*w**2 + 5*w + 5. Let y(s) = 3*s**3 - 2*s**2 + 2*s - 10*s**2 + 2 + 10*s**2. Let v be -1 + 1 - (12 + -14). Give v*j(u) - 5*y(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 31492412 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.93 + 0.18. Let i = f - 115.25. Let j = 127.6 + i. Round j to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66 and 388530483.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 760*c - 119 + 119 + 484*c as x + t*c and give t.\nAnswer: 1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 2*o - 39, -t + 19*o - 33 = 18*o. Suppose 9*n - 109 = 4*n - 2*r, -115 = -5*n - 5*r. What is the common denominator of 362\/n + (-15)\/t and 47\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c + 51*n - 57 = 8*c + 54*n + 90, -c = -5*n - 245 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -4  (b) 21  (c) -1198\/3  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 7*u + 6. Let y(i) = -3*i - 2. Let k(q) = 6*d(q) + 13*y(q). Let s(x) = x**3 - 5*x**2 + x + 8. What is the lowest common multiple of s(6) and k(2)?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -6*l**2 - 23*l - 18. Calculate g(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 6:44 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 43310143201?\nAnswer: -43310143210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-5*-1*sqrt(343)*2 + -3)**2*-1.\nAnswer: -548809 - 1680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b003 (base 12) to base 9.\nAnswer: -28063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b**4 + 46850*b**3 + 782642*b**2 - 1111186*b + 281700 = 0. What is b?\nAnswer: -18, 1\/3, 1, 7825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 100 - 96. Solve -4 = -p - 5*w, 3*p - w + 8 = q*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-1)*-4*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -809  (b) -1\/5  (c) -0.4  (d) -1.3  (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0139840502 rounded to 4 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of m**6 + 107*m**4 - 2*m**3 + m**2 - 302*m - 2.\nAnswer: 120*m**3 + 2568*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -4*t - 1. Let b(p) = -12*p - 4. Let d(z) = 3*b(z) - 10*s(z). List the prime factors of d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 4*t**4 - 23176*t**3 - 208908*t**2 = 0.\nAnswer: -9, 0, 5803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1936\/9675 - -1\/9675. Which is the closest to 1?  (a) 91  (b) -0.13  (c) z  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 16 + 484 = 0. Let i = c + -10. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -106366862708.7 and -0.46?\nAnswer: 106366862708.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 - (-2 - 4)) + 2. Let x = 2.4 - 2.5. Let h = 1.9 - x. Sort 3, h, t in descending order.\nAnswer: t, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p + 7. Let i be m(-6). Let l be (-6)\/(i - (-3)\/(-1)). Solve 19 = -l*w + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 810 and 855?\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*m - 268*m + 72 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -14155599 divided by 309\nAnswer: -45811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 17*q + 1. Let c = 1 - 0. Let s be t(c). Let h = s - 13. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -0*q - 3*q. Let f = -7 + q. Let i = 20 - 22. Which is the nearest to 1\/3?  (a) i  (b) 1\/6  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 905*a - 1. Let d(s) = 2*s. Calculate x(d(z)).\nAnswer: 1810*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 11 - (-15 - 19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 1:39 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -30 divided by 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 4. Let d = 10 - 12. Is d + 16 - (-6)\/m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 16. Let s = 5 + u. Let r = -0.7 - 0.4. What is the biggest value in 5, s, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -7*v**3 - v**2 + 4*v + 1. Let d(j) = -22*j**3 - 4*j**2 + 13*j + 3. Let n(x) = -2*d(x) + 7*r(x). Calculate the remainder when n(-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1370aa3 + -e?\nAnswer: 1370a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 272 and 113104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of 1\/6*i**3 + 0*i**2 - 1 + 2*i. Let h(y) = 9*y - 21 + 18*y + 21. What is h(c(t))?\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence po when two letters picked without replacement from {p: 1, o: 12, e: 7}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 12 - 8 + 2256*o - 7 - 2656*o.\nAnswer: -400*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r**3 - 33*r**2 + 4878*r - 409. Give f(31).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 37*r - 39*r. Sort -5, 0, -1, r in decreasing order.\nAnswer: 0, -1, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -0.4, 14 in ascending order.\nAnswer: -3\/5, -0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41 - 37. Suppose -o*i = -13 - 99. Is 3552\/i - 6\/(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.56 + 17.66. Let b = -16 + j. Let p = 0.899948 + b. What is p rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b + 1. Let l(z) = 3*z**2 + 3*z + 3. Let n(a) = -3*j(a) + l(a). Let k(g) = 2*g - 3. Let s be k(3). Let i(r) = s*r + r**2 - 3*r. Determine n(i(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 4*f - 18, 0 = f - 3*o - 0 + 3. Let b(u) = 1 - f*u**2 + 0 + 8*u**2. Does 6 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -74 + 84. Suppose 2*w = 2*u + 12, -2*w + u = w - p. Solve 0 = -d - w*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 2*l**2 - 3*l**2 + 5*l**2 - 8 + 3*l**2 + 46*l**3.\nAnswer: 46*l**3 + 3*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1340*w**2 - 85*w**2 + 0*w**3 + 2*w**3 + 4 - 141.\nAnswer: 2*w**3 + 1255*w**2 - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 9:02 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1008016 to the power of 1\/2, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z + 3*z + 2*z - 4*z. Let w(r) be the third derivative of -3*r**5\/4 + r**2. Give w(d(v)).\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uutgguguuggtuggu. What is prob of picking 2 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (1 + -5 + 10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22 + 208. Let y = o + -119. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -7503863*t + 22511592. What is i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 13*a - 5. Give k(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_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 i(h) be the third derivative of 0 - 1\/120*h**6 + 1\/20*h**5 + 1\/4*h**4 + 0*h - 5*h**2 - 5\/6*h**3. What is i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -q - 3, -4*q = x - 8. Let n(k) = -k**3 - 5*k**2 - 5*k + 3. List the prime factors of n(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-74 - -104) + -17 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 13*q**2 + 15*q - 16. Let u be l(14). Let w be (-2 + -1)*u\/14. Let h = 1775 - 1778. What is the third smallest value in 5, h, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -8082, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*v - 56*v - 8 = h, -18 = -3*h + 2*v. Let z(c) = c**3 + c**2 - 5*c - 1. Let k be z(4). Differentiate k*l**2 + h - 59*l**2 + 5*l**4 with respect to l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u**2 - 11*u + 17. Let f(m) = -m**2 - 5*m + 8. Let r(c) = 2*b(c) - 5*f(c). What is r(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1264*y**2 + 6316*y**2 - 1260*y**2 - 1262*y**2 - 1261*y**2 - 1270*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5 = 4*t, 4*i + i - 2*t = -17. Let b(g) = -g**2 + 1. Let m(s) = -2*s**2 + 2. Let k(c) = i*b(c) + 3*m(c). What is o in k(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3969198 divided by -3.\nAnswer: -1323066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90278?\nAnswer: 2, 45139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**3 - 3*d**3 + 3*d**3 + (-8*d - 7 + 7)*(4*d**2 + 0*d**2 - 2*d**2).\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -3*f - 45, -u - f + 49 = 3*u. Let c(r) = -2*r + 77. What is the units digit of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -213726204*z**2 + 3*z - 78030132 wrt z.\nAnswer: -427452408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -c**5\/10 - c**4\/24 + c**3\/2 + 3*c**2. Let l be i(-3). Is 12 a factor of (2 - (-28)\/(-8))*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -51*u**2 + 8. Let x be o(-4). Let i = -448 - x. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -372, -369, -354, -321, -264, -177, -54?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 411 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -178 - -190. Suppose -3*x = -3*f - 0*x + 39, 3*f - 79 = -5*x. Is 11758\/f + m\/(-54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -246146.15?\nAnswer: -98458.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3*((-2)\/6 + 1). Let d(i) = -59*i**3 - 21*i**2 + 7*i. Let z(w) = 10*w**3 + 3*w**2 - w. Let v(g) = -d(g) - 6*z(g). Give v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 4*k + 22*k - 9*k + 5*k. Let l(r) = 12*r. Calculate h(l(w)).\nAnswer: 264*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -r**5\/20 + 5*r**4\/12 - 2*r**3\/3 + 3*r**2\/2 + r. Let n = 4955 + -4951. Calculate t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1749150617 smaller than -1749150618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -41843900.34 and -243.52.\nAnswer: -41844143.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -9  (b) 2\/9  (c) -0.28  (d) -0.2  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 less than 9.905313?\nAnswer: 9.845313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6 + -46.4744419?\nAnswer: -44.8744419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + (-3 - -120)*1. Let p = 6 + w. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s - 9 - 45 = 0. Let t be (2 + 20\/(-12))*s. Let b be -3*2*t\/(-48). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 671088 and 427056?\nAnswer: 4697616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 923314070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -340*f + 6708 = -899*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 52  (b) -979  (c) -0.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2. Let q(n) be the first derivative of 41*n**3\/3 - 42*n + 81. Let l(w) be the first derivative of q(w). Calculate k(l(i)).\nAnswer: -13448*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-20))\/3*(-225)\/90.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1394 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -584 - -895. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-39)\/(-273))\/((-38)\/42*-39)?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6337 or -6336?\nAnswer: -6336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 - 4*r - 4. Let j be 27\/18*8\/6. Suppose 4*k - z = 3*k + j, 3*k - 30 = -5*z. Calculate n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 + 8*p**2 + 8*p + 5. Let k be l(-7). Let j be (-3)\/(k\/(4\/3)). Suppose 2*v - j = r - 5, 3*r - 15 = 0. Is v at least as big as -1\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1217600 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 169920?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4237134 by 5.\nAnswer: 4237134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -578*i**2 + 423*i**2 + 1 + 0 - 2 - 561*i**2 in the form a + u*i**2 + z*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10822407 and 98976?\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2184, 11204, 26194, 47148, 74060, 106924?\nAnswer: 145734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2 + 275584*k + 3306720.\nAnswer: 2*(k + 12)*(k + 137780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 + -45. Let l(b) = -2*b**2 - 17*b + 22. Let a be l(z). Suppose 0 = 2*c + 7 - a. Solve c*p = -r - 12, 5*r - 2 - 8 = -p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k**2 - 2*k + 1. Let a(b) = b**2 - b + 1. Let y be (5 - -3)*2\/4. Let v be (2 + -3 + y)*1. Give v*a(l) - o(l).\nAnswer: -2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1250 + 718. Let x = 1426 + w. Let m be 4\/(-6) + (x\/18 - 1). Calculate the greatest common divisor of m and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2. Let o(n) = -6*n**2 - 3*n + 4. Let a(d) = 5*g(d) - o(d). Let r be a(-5). Let k(m) = 2*m - 11. Let t be k(8). Solve -t*j - 21 = -r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 115 - 11 = 0. Suppose -z = 5*c - 4*k - 62, 0 = -3*c - 2*k + 29. Solve -6*w + 3*w = -c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from ekjjddikdidkse.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31201202311 (base 4) to base 8.\nAnswer: -15414265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 3*j - 10, t - 13 = 5*j. Suppose -4*b + 360 = 5*b + 9*b. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*y + 17. Suppose -3*x + 96 = -5*m, -y*m = 2*m + 15. Suppose 3*l = -4*k + 8*l + 21, -3*l + x = 2*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/532 and -1\/10374?\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -3. Let o = -54 + 325\/6. What is the closest to j in o, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - p - 14 = 0, -3*q + q = 3*p - 2. Suppose -5*v = -q*a - 10, 3*a - 6*a - 4*v = -8. Which is bigger: 2\/35 or a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5*s**2 - 8*s - 5. Let l(a) = -14*a**2 + 23*a + 15. Let w(g) = 4*l(g) + 11*u(g). Let n be w(5). Which is smaller: 2\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4984, -4704, -4230, -3556, -2676?\n\"Answer: m**3 + 91*m**2 - 5076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -539.\nAnswer: -161.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -15, 2 in increasing order.\nAnswer: -15, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 82*g - 4 - 4 + 7 - g**2 + 23*g**3 + 0*g**3 wrt g.\nAnswer: 138*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = n + 90. Let f = -11 + n. Factor -f*a**3 - a**2 - a**2 + 2 + 0*a**2 - 2*a + 9*a**3.\nAnswer: 2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*o - o**4 + o**2 - 8 - 5 + 11 + o**3 to the form s*o + d*o**3 + w + m*o**2 + n*o**4 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*c + 1502, 0*i + c - 4456 = -3*i. Suppose -i = -8*s + 3609. Suppose 4*z + s = 3*q, 0 = -3*z - 10 - 2. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 225, 260, 389, 660, 1121, 1820?\n\"Answer: 8*f**3 - f**2 - 18*f + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in 0.6, -1\/4, -4, 7, 4\/13, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 808.09 - 795. What is h rounded to one decimal place?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l - 7. Let h be 0 + (-1)\/2*-6. Let o(j) = -2*j - 8. Let f(v) = h*y(v) - 2*o(v). Find the first derivative of f(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*c = -15, 5*c + 13 = -2. What is the units digit of (1 - 1\/q)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 6\/(-8)*(-30 - 7762)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 8*g + 108. Let o be ((-90)\/12)\/(-1 + 3\/12). Let l be 125\/o + (-1)\/2. What is the highest common factor of l and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of t**3\/6 + 5*t**2\/2 + t. Let k be a(-4). Calculate the least common multiple of ((-4)\/12)\/(k\/(-9)) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41971?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16884 and 48699?\nAnswer: 13051332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (86\/(-6) - 4\/(-48))\/((765\/(-20))\/51)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**17\/g)\/g)\/g*g)**(-34)*((g*g\/(g*g\/(g*(g*g\/(g*g\/(g\/(g**(-2\/77)\/g))*g))\/g)*g)*g)\/g)\/(g**(-2\/13)*g))**(2\/23) assuming g is positive.\nAnswer: g**(-1022662\/23023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9215114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 76632 and 22804406?\nAnswer: 6386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 7. Let x(t) = t + j*t + t - t. Let i be x(2). Solve 1 = 5*h + i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3484100.\nAnswer: 2, 5, 34841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 162 + 6640\/1600*-20\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/2)*t**(-1\/4)*(t**1\/t*t)**17)\/(((t*t**(-2\/7)\/t)\/t*t\/(t**(-3)\/t))\/((t*t*t**(-2\/7)\/t*t)\/((t**(-4)*t)\/t))) assuming t is positive.\nAnswer: t**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*g + 4*v - 5*v, -4*g = 4*v - 32. Suppose g*y - 17 = -2. What is the third derivative of -36*s**y + 0*s**2 - 6*s**2 + 34*s**5 wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 27*m**2 - 9*m - 136. Let n(v) = -13*v**2 + 4*v + 68. What is 6*k(u) + 13*n(u)?\nAnswer: -7*u**2 - 2*u + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 253. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 510?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**3 + 98536*n**2 + 887596*n - 11040064 = 0. What is n?\nAnswer: -16, 7, 24643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -f**3\/6 + 47*f**2\/2 - 64*f. Let w(m) = -2*m**2. What is w(a(p))?\nAnswer: -2*p**2 + 188*p - 4418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (102\/425 + 2\/(-5))*100\/40.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144971 = 5*g + 3*v + 32759, 0 = -6*g - 2*v + 134640. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 + 14 + 22 - 25*i - 54 to the form k + b*i and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -9*q**2 + 2*q + 3. Let r be i(-3). Let n = -138 - r. Let g = n - -78. Calculate the highest common divisor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 + 5655?\nAnswer: 5656.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302721277.\nAnswer: 157, 1928161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (148 - 166 - 263)*(-4*d + d + 0*d).\nAnswer: 843*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -884 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.143 smaller than 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 785882 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2*9.6\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {z: 3, s: 6, d: 3, l: 4, j: 2, n: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4  (b) 4\/5  (c) 186  (d) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3 + 115*z**2 - 3575*z + 15125.\nAnswer: -(z - 55)**2*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bhshshssshs. Give prob of picking 2 h and 2 s.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(1\/4))**(40\/7)*(((p*p**(1\/7))\/p)\/p)\/p**(1\/4))\/(p**(-1)*p**(2\/15)*(p*((p*(p*p\/(p*p*p**(-2))*p*p)\/p*p)\/p)\/p*p)**(-8\/13)) assuming p is positive.\nAnswer: p**(38887\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -250 - 512031?\nAnswer: -512321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*p**3 + 7*p - 7*p + 50*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3120 (base 4) in base 5?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -28795*u**3 - 28790*u**2 + 345545*u - 60 = 0.\nAnswer: -4, 1\/5759, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 8 - 7 = 0. Let w be ((-2)\/2)\/(15\/6 + -3). Suppose -5*m + 21 = w*m. Is b greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t + 1. Let f(y) = 11*y + 5. Let s(o) = -2*c(o) + f(o). Let m(q) = -6*q - 2. What is 7*m(k) + 5*s(k)?\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**2 - 5*p**2 + 4*p**2 + (-p + 1 - 1)*(20*p - 43*p - 2*p) to h + v*p + f*p**2 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -1 + 16 + (-16 - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of b**6\/60 - 127*b**5\/15 + 42*b**4 - 18*b**2 + 12*b + 6. Determine s so that f(s) = 0.\nAnswer: 0, 2, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 154661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, 72, 363, 962, 1971, 3492, 5627, 8478?\nAnswer: 12147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 86920955 and 261220?\nAnswer: 347683820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1145454?\nAnswer: 2, 3, 190909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.07 - -0.07. Let d = 6 + p. Let j = 3.5 - d. Which is the nearest to -2?  (a) 0.2  (b) 4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -7*k**3 + k**2 + 2*k + 1. Let r be m(-1). Let b(x) be the second derivative of -1\/12*x**4 + 0 - 12*x + 5\/6*x**3 - 3*x**2. What is b(r)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45 + 25. Let y = -13 - i. Calculate the highest common factor of 63 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 + 2*u**2 - 98*u - 44 - 5*u**2.\nAnswer: -3*u**2 - 98*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 51?\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -3 + (-6 - (7 + -15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 896 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41985354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1767.611 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1061420814 to the power of 1\/2, to the nearest integer?\nAnswer: 32579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - c - 20 = 0, 0 = 2*c + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32316?\nAnswer: 2, 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence whz when three letters picked without replacement from {h: 1, z: 1, w: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2448)*-2 + -2.\nAnswer: -24*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -35347  (c) -0.4  (d) -2  (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2*y + 8. Let r be (-6)\/y - (6 - 7). Suppose t + 2*c = 207, -4*t + 819 = -5*c + r*c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 26 + 28*u**2 - 20*u**2 - 11*u**2 - u**3 wrt u?\nAnswer: -3*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3331603 is divided by 3331600.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7259*a - 3370*a + 67671 = -99426 - 502530 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2133437, 2133442, 2133447, 2133452, 2133457?\nAnswer: 2133462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/28 + 0)\/(-17 - (-18832)\/308)?\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8073610 is divided by 2018391.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c**3 - 7*c**2 + 14*c + 3. Is f(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-72)*686400\/(-1144)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, z: 2, c: 3}. Give prob of picking 1 o, 1 z, and 1 c.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1980 is divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-84)\/(-5) + (-25)\/(1250\/40).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (34 - -1) + (-16 - (-15 - -7 - 3))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 3 + -3 - -9. Suppose 18 = -u*q + 10*q. What is the highest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*n - 8. Let h be -1 + n*4\/(-20). Solve 4*y - 12 = h, 3*c - 2*y = -c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, r: 11, n: 1}. Give prob of sequence nr.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/401 - 816\/2807. What is the third smallest value in 2\/11, t, -5, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/36 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**2 + 19537*z - z**2 - z**2 - 39 - 2416*z.\nAnswer: z**2 + 17121*z - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 9 - 1 = 0. Sort 0, 12, l.\nAnswer: 0, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and 6263873965094.\nAnswer: 6263873965091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 5, 0 = -5*t - v + 19 + 11. Solve -4*p + t*p = -5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + (sqrt(175)\/sqrt(5) + sqrt(35))\/sqrt(7) - (sqrt(25)\/sqrt(5) + -1)**2.\nAnswer: -6 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w - w + w + (0*w + 0*w + w)*(-9 - 13 + 5).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243)*-3)\/((sqrt(45) - sqrt(1125))\/sqrt(5)).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 292*y + 204*y + 465*y + 343*y + 66*y as x + i*y and give i.\nAnswer: 1370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -11 and -825481.\nAnswer: -825492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.6?  (a) 1  (b) -2\/5  (c) -0.3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 44 + -33 + -2 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/16 and -10*10\/(-75)*18\/15.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 868 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + (-12 - -3)\/(-3). Suppose 6 = -9*u + 6*u, -2*g - u + 52 = w. Let y = -63 + 99. Calculate the highest common divisor of g and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a56 - 4aa?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l**3 - 7*l**2 - 9*l + 1. Suppose 3*g + 50 = g. Let v = g - -21. Is k(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -244493\/4 + 61124. Let o = -0.6 - -0.1. What is the smallest value in o, i, 1.43, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-1) + (-3 - (-3)\/(-3)). Solve 3*q + 3*v = x, v = -q + 2*v - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1966)\/(-8) - 2\/(-8). Suppose -2*q = 4*g - 498, -2*q - 2 + d = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (120\/1330)\/((-6)\/21). Which is the second smallest value?  (a) 2\/9  (b) 1\/5  (c) y  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*u**2 - 41*u + 20.\nAnswer: (u - 4)*(9*u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -13658.\nAnswer: 5463.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*g + 17. Let m(s) be the third derivative of s**5\/12 - 5*s**4\/24 + 13*s**3\/6 - s**2. What are the prime factors of m(g)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9685288 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.919 take away -4?\nAnswer: -14.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-15) - 24\/(-10). Let c(o) = -o**w - 1 + 1. Let q(z) be the first derivative of -z**2 + 6. Determine c(q(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1671 a factor of 8289831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1)\/v)**2)**(-1\/41) assuming v is positive.\nAnswer: v**(4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 6. Suppose 10 = -4*n + 38. Solve 4*z + n + 9 = x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t + 140. What is the lowest common multiple of 20 and m(45)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.003  (b) -2\/3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from ssysssss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -203.7 - -194. Let r = k - -8.78. Let t = -1.12 - r. Put 2\/15, t, -1\/7 in increasing order.\nAnswer: t, -1\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(13) - (2*sqrt(13))**2) + 4.\nAnswer: -52 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22175911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 140 + 6 = 2*i, x - 11 = -3*i + 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 3*i + 1. Let w be i\/35 + 80\/14. Suppose l = -v - 2, w*l = 2*l - 2*v. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3683*c - 66176. Give k(-18).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1323)\/(-756))\/(1\/(2\/7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 701, 3 in descending order.\nAnswer: 701, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115 divided by -41.\nAnswer: 115\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-13)\/(3762\/(-537) + 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -53 + 53. Let o be 3 + (46 - 4) + u. Calculate the highest common factor of o and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.38 less than -0.532?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-5) + 0 + 3\/(-15). Is b + 3 - ((-2 - -5) + -5044) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42232 by 4.\nAnswer: 10558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 27\/5 of a second?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) + 1)*3)**2 + (-2*sqrt(170))\/sqrt(10) + 5.\nAnswer: 16*sqrt(17) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24617687 by 1.\nAnswer: 24617687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-62*z**2 + 106*z**2 - 77*z**2)*(33 - 5 - 5) as a*z**2 + w*z + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -3*i**3 - 3*i**2 - 3*i - 2. Let o be w(-2). Let k = -16 + o. Let j(c) = 1 + k*c - 2*c - 1. Let r(l) = -2*l**2. Determine r(j(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23311 (base 4) to base 16.\nAnswer: 2f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**3 + 5*t**2 - 153*t - 474. Determine o(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dbb when three letters picked without replacement from {m: 3, s: 3, d: 1, y: 1, b: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 70 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 5*c + 8. Let z be w(3). Suppose -z*j + 6 = 2*f, -2*f + 3 = -5*f + 3*j. Calculate the lowest common multiple of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 22*x**3 - 5*x + 4. Suppose -5*y = -2*g + 14, -3*g + 12 = g - 2*y. What is the hundreds digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + -1)*(3523 - 2). Suppose 2*r - 9*r + n = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 0.3  (b) -0.1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -661.\nAnswer: -661, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 106 = 372*v - 392*v, -5*v - 19 = 2*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -1604\nAnswer: 1\/802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 34663889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 52147441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8010*c = -43939 + 641 - 164962 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 29 = -4578*d + 4579*d, -13*d = 2*u - 305 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22.169 - 21.168994. Let c = -0.9 - 0.1. Let q = c + k. What is q rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124835863073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233*z + 774*z + 69*z + 1488*z.\nAnswer: 2564*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-3410)\/33*(0 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(3\/10)*g**(-14))\/(g**(-16)\/(g\/(g**10\/g*g))))**(2\/39) assuming g is positive.\nAnswer: g**(-67\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/2484 and (1*3)\/1 - 170\/(-540)*-24?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 - 6*h - 5. Let r be q(-5). Suppose r = -i + 4*i + 3. Let k be 2*((-24)\/27 - i). Which is the second biggest value?  (a) -0.3  (b) k  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-1))\/(7*14\/(-490))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + 2*100\/8. List the prime factors of (-90)\/(-8) + (-7)\/j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 649.3685 years in centuries?\nAnswer: 6.493685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - -0.147.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-51520)\/(-73968) - ((-1)\/3 - -1). Let j = 0.29 - 16.29. Let o = -11 - j. Put 2, o, d, 0.5 in increasing order.\nAnswer: d, 0.5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -5, -4, 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 11:50 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 102 + -100.3. Let y = l - -2.3. Put -0.2, y, -11\/4 in ascending order.\nAnswer: -11\/4, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4372 rounded to 2 decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 340 - 339.14. Let v = 0.5092 - f. What is v rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/150181 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - 12 - -3 - (-3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*y - 42*y = 138. What is the common denominator of 779\/42 + 2\/7 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100110111001010100011 (base 2) to base 12.\nAnswer: 5156ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/((v\/v**17)\/v)*v**7*v assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7, 45, 119, 235, 399, 617, 895, 1239?\n\"Answer: p**3 + 12*p**2 - 5*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2112882589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - j - 20 - 22)*(0*j + 3*j - 2*j).\nAnswer: -j**2 - 26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 5*g - 1. Let o(x) = -19*x - 158. Calculate -o(b) - 2*v(b).\nAnswer: 9*b + 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 3:48 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/24*-2*-3. Suppose -l*z + 7 = 2*z. Calculate the remainder when (-1 - (z - 30)) + 0 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 4, -5, 0.2, 3\/7, 0.1, -0.12838?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2 - 12*d - 65. Determine p(25).\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z**3 + 8*z**2 + 6*z - 7. Let x(k) = -4*k**3 + 9*k**2 + 8*k - 6. Let s(o) = 3*p(o) - 2*x(o). Give s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24 + 9. Let x = j + 14.7. What is the closest to -1 in x, 1\/2, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**2 + h - 2. Let d be 1\/(-3)*-3 - -2. Let z be t(d). What is the units digit of (2\/z)\/((-2)\/(-1490))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -122*s**3 - 727*s**2 + 8*s - 14. Determine q(-4).\nAnswer: -3870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 + 14 = -3*k. Let n = k + 17. Let o(r) = 2*r - 7. Let f be o(n). Solve 3*p + 4*h = 2*p - 12, -4*p - f*h + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 27972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 107124551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1554 - -443. What is the remainder when j is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24088357.\nAnswer: 29, 421, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 704 - 698 + 2*g + 0*g in the form z*g + j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(70\/8))\/((10\/(-56))\/((-17700)\/2832))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1951915 and 190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 4*b + 4. Let n be a(2). Sort -5, n, -1, 2 in ascending order.\nAnswer: -5, -1, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000007089 rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3*z**2 - 3*z - 5*z**3 - z**3 + 3*z**3 - 3. Let p be o(-2). Solve 3*c + p = -3*l, 0*l = 2*l - 2*c + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -2  (b) 6  (c) 1\/156  (d) 5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.15?  (a) 15.5  (b) 0.1  (c) -3.3  (d) 1  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 10 = -2. Suppose -4*o - 28 = -5*p, 2*o + 2 = -i. Suppose 2*t - t - 4*y - 20 = 0, 2*y = -p*t + 26. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(23\/4))**(1\/39) assuming a is positive.\nAnswer: a**(23\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, -3, 1431 in increasing order.\nAnswer: -48, -3, 1431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/316*66\/(99\/(-3))*(-3)\/9?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-14)*a**(-8))**25 assuming a is positive.\nAnswer: a**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-17)\/(85\/30))\/(1\/1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2212069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a3 - -1?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*i = -60*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + q - 68 = -29, 4*q + 65 = -5*h. Let n(f) = -f**3 - 13*f**2 + 2*f - 4. Determine n(h).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/24 and ((-14)\/28)\/(2\/37)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8233 + 8350. Calculate the remainder when o is divided by 83.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22533344 divided by -428.\nAnswer: 52648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0)**21*(k**(-2\/17)\/k*k*k)\/k*k*k**(-1\/2)*k)\/((k\/k**6)\/((((k\/(k\/k**(-1)))\/k)\/k)\/k)*(k**(2\/3))**8) assuming k is positive.\nAnswer: k**(-301\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(0 - (-1 - 0)). Let q(g) = -g**3 + 8*g. Let j be q(3). Let z be (v\/j)\/(1\/18). Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 8 = -v, 5*i - 1 = -5*v - 21. Let r(t) = t**3 - 5*t**2 + 4*t + 4. Let p be r(4). Differentiate 2 - p + v - 3*h with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -97*((-6)\/39 - (-2 + (-9541)\/(-91))) a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + 970960197726\nAnswer: 970960197726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t + 11. Let v be i(-4). Let n(d) be the second derivative of -d**5\/20 + d**4\/3 - d**3\/6 - 2*d**2 + 3*d - 3. Give n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.73 in 7\/6, -5, -1.1?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 102414 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11175369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2*t - t = 0, 2*n + 16 = t. Let b(v) = 50*v**2 - 16*v + 131. Let y be b(34). Is 3\/(63\/n) - y\/(-77) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 - (187\/11 + -5831) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24048 divided by -6012?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -7*f + 24. Suppose -8*j + 18 = -14. Suppose 2*b + 23 = -5*h + j, 4*h = b + 16. Let p be c(b). Calculate the highest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 319762309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -228 + -70. Is -299 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*l - 4800000 = 16*l. Suppose 61*i = 60*i - l. What is i rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1345581498.\nAnswer: 2, 3, 29, 266663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + 5*q - 8. Is o(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.04 rounded to two decimal places?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 7*t + 25 = 0. Let c = -208 + 485. Suppose 5*q + t*s = c + 508, 479 = 3*q + s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 + 37 - (5 - 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/182 and -113\/439628.\nAnswer: 5715164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1294 by 536.\nAnswer: 647\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 2*w - 15. Let m be v(8). Suppose 66 = -2*q - 3*d, -q - 2*d + 100 = -5*q. Let g = q + m. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -5*i - 2*z - z, 4*i = -2*z + 54. Calculate the greatest common divisor of 98 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32460588 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -117, -323, -665, -1143, -1757?\nAnswer: -2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/11  (b) -5\/6  (c) -0.2  (d) 0  (e) 4  (f) 4839\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10\/15)\/(8\/(-12)). Let l be (17\/85)\/(b\/(-15)). Suppose -21 = -l*q + 24. Solve 0*v = -5*v - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 46, 42, 32, 16, -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 7*p + 4 - p**2 - 5 + 7*p**2 - p**3. Let r be g(7). Let f = 3 - r. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/262 and 17\/356713?\nAnswer: 713426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (345140\/(-70))\/((-2)\/7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c792 - 6?\nAnswer: c78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2115*t - 4*f = 2112*t + 2 - 12, -6*f - 24 = 2*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 7*n - 4*n. Let t = n - -38. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 4:45 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 15*v. Let h(q) = -22540*q**2 - 42*q. Give h(r(y)).\nAnswer: -5071500*y**2 - 630*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-2)*6\/18. Suppose -1 = -h - 2. Sort 3, v, h.\nAnswer: h, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 PM and 10:25 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 4*g, 0*g - 4*g + 6 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2 = 4. Let v be (-8 - 1)\/(4\/(96\/8)). Let p be (1 - -2)\/(v\/(-18)). Solve 0*d = -l*d + p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of b**5\/20 + b**4\/12 - b**3\/3 - 4*b**2. Let u be z(2). Suppose -u = 2*m - 3*m. 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 next term in -56, -43, -36, -41, -64, -111, -188?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16 - (-4 + -6)) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -160 + 424. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 91 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -90  (b) 0.08  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-8064)\/(-4536))\/((-2)\/(-9))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 3*o - 35. Let y(c) = -c + 12. Let v(n) = 4*m(n) + 11*y(n). Let b be v(4). Let h(f) = -7*f + 9. Let a(w) = -3*w + 4. What is b*h(g) + 9*a(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 3*h**2 - 2*h - 4. Let m be g(4). Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/8  (b) 1\/3  (c) -2\/9  (d) -159  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 0*v + 1\/2*v**3 - 68*v**2 + 0 + 1\/24*v**4. Give o(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -1. Let s(w) = 6*w + 14. Give 28*m(x) + 2*s(x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61.039 - 61. Let f = u + -0.099. Round f to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 + -5. Let j(t) be the first derivative of 38*t**2 - 3*t - 1. Is j(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 5, 4, 70 in increasing order.\nAnswer: -3, -1, 4, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261927 is divided by 226.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + 1)*6 - (1 + sqrt(272) + -5))**2*4 - (6*(-2 + 2*sqrt(1377) + sqrt(1377))*-2)**2.\nAnswer: -1757568 + 17152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 11. Solve 2 = 5*c + h + h, 2*c + 3*h = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 5 = 5*o - 2*o, -5*t - 5*o - 45 = 0. Let i be (-18)\/t + (-3)\/(-6). What is the third derivative of g**6 + 1 - i + 4 - g**2 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 276\/(-14) + 24\/(-84). Let v be p*((6 - 7) + 2\/10). Solve -3*l + 2*q + v = -8*l, 3*l - 9 = 5*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 5:41 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**2 - 12*u - 15. Calculate the remainder when 84 is divided by s(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)\/(sqrt(96) + sqrt(6))*4)**2 + -2.\nAnswer: 158\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-19))\/z**14 assuming z is positive.\nAnswer: z**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 0. Let l = 48 + -41. Let f = l + -11. Sort 0, f, g in decreasing order.\nAnswer: 0, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 83873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/1694963 and 67\/10169778.\nAnswer: 10169778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4913, 2, 3, -4, 4 in decreasing order.\nAnswer: 4, 3, 2, -4, -4913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a factor of 3812172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-24))\/(979\/66 - 15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 5*g + 13 + 16 = 0, 67 = 5*h - 4*g. Let o be -3 - (-10 - (-3 - -3)). Let b = o - 6. Calculate the greatest common divisor of h and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 611873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -302 - -548. Let k be (45\/(-45))\/(1\/(-164)). Let t = c - k. List the prime factors of t.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*c**2 - 18784*c + 55*c**3 + 18777*c - 24*c**2 to the form n*c**2 + j*c**3 + q*c + t and give j.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 0.02  (c) -2\/13  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 6*f + 1. Let y be j(2). Suppose 0 = 7*q + 66 - 10. Let x = q - -20. Solve -i = -4*v + 20, 0 = -5*v + 3*i + x + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c + 14c968e?\nAnswer: 14c969b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1316 divided by -94.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*x = 31*x - 20, -21 = 5*n + 5*n + 5*x - 22 + 71 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1878048330 is divided by 1477.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1638605762 to the nearest integer?\nAnswer: 40480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*h*m*s**2 + 9*h*m*s - 3*h*s**3 + 340*m*s**3 wrt h.\nAnswer: 4*m*s**2 + 9*m*s - 3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14*-44*(-25)\/(-7150).\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0114 + 93.6886. Let c = -101.83 + -1.17. Let j = l + c. What is j rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0034615 to five decimal places.\nAnswer: -0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -389*w = -36 - 7355. Suppose -5*p - 14 = 2*u - u, -2*p - 3*u - 16 = 0. Calculate the remainder when (p + 1)*-1*49 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41\/(328\/192)*(-327)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 56*a**2 + 117*a + 23. Calculate q(-58).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o - 184 = 4*w, 20*w - 10*w + 12*w + 112 = -3*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h**3 + 329*h**2 - 83*h - 734. Calculate p(82).\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(351) + sqrt(39))*-3)\/(((sqrt(192)*-2)\/sqrt(8) - sqrt(24))\/sqrt(8))*1.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**2\/(u**7*u))**(-45) assuming u is positive.\nAnswer: u**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 7*v + 1. Calculate w(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -5*s**2\/2 + s + 4. Calculate q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-2)*(-12)\/3. Let q(c) = -c - 8*c - 13 + 5*c**2 + 2*c**2 + c**3 + 5. Let d be q(z). What is the smallest value in d, 0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 766 divide 2914994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 6:26 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -44.908 + -0.292. Let v = 53 + w. Let q = v + -8.3. Which is the closest to 2?  (a) -5  (b) 1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p + 4. Let k be d(0). Let w be k - (1 - 2) - 1. What is the units digit of w\/(-34) + 180\/85?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((119105\/246)\/83)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 1 = o, -9*m + 8*m = o - 3. Solve -6*d + 2*d + 17 = o*x, -4*x - 4*d + 16 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2086766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) 19  (c) 165  (d) 0.4  (e) -9.66  (f) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8490174 to the power of 1\/2, to the nearest integer?\nAnswer: 2914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -111.93 - -111. Let t = -5263 + 5261.87. Let u = i - t. What is the closest to -0.1 in -3, -5\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41 + -58. List the prime factors of (14\/63 - u\/(-9))*-99.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 (base 8) in base 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -79861063103 take away 0.13?\nAnswer: -79861063103.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 852 + -848. Let x(s) = 8*s**3 - s**2 + 12*s. What are the prime factors of x(i)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of 1\/12*b**4 + 0 + 2*b**2 - 2*b + 2\/3*b**3. What is o(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -16  (b) 1  (c) 13\/5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 1 = -3*u, 4*g + 3*u - 69 - 10 = 0. Sort -24, g, -2.\nAnswer: -24, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 3*z + 0*z + (3 - 3 + 2)*(2 - z - 2) + 3*z + 0*z - z)*(386*z + 22*z - 32*z).\nAnswer: -752*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 922934 divided by 28.\nAnswer: 461467\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3766141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/12864 and 121\/308736.\nAnswer: 308736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5102 (base 13) in base 6?\nAnswer: 123352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 90 in increasing order.\nAnswer: -3, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1072 and 2144?\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1132*i**2 - 11444*i + 11444*i.\nAnswer: 1132*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7836 a factor of 69598601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60421 is divided by 704?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from memvevvvmve. Give prob of sequence mvvv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of 43*f**5\/5 + 2*f**2 + 12*f - 59. Find the second derivative of l(y) wrt y.\nAnswer: 516*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5551.\nAnswer: 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0*2\/(-6) + 13. Let z = 8 - a. Let v(t) = 9*t**3 + 5*t**2 - 5. Let o(y) = 5*y**3 + 3*y**2 - 3. Let k be 4\/(1 + -3) + 5. What is k*v(b) + z*o(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -275 take away -5.06437?\nAnswer: -269.93563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**4\/7 + 226*r**3\/7 + 1776*r**2\/7 - 9880*r\/7 + 10816\/7 = 0. What is r?\nAnswer: -104, -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6841957718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1957507?\nAnswer: 23, 85109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/(-20) - (-2)\/(-5). Let s = -1 + m. Let w(c) be the third derivative of -c**6\/120 - c**5\/15 - c**4\/24 - c**3\/3 - c**2. What is w(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5*3*(0 + 1). Let y(t) = t**3 - 40*t**2 + 76*t + 38. Let f be y(38). Does 14 divide f\/2 - (-13 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ldl when three letters picked without replacement from {d: 4, l: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35 + -31. Suppose -3*i = -m*x + 12, 0 = -2*i - 3*x + 9 - 34. Let p(d) = -d**3 - 7*d**2 + 7*d. Is p(i) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 7:00 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 10:03 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of -z**4\/4 - z**3 + z**2\/2 + 3*z - 1. Let g be l(-3). Let f(j) = -3*j - 4*j + 6*j - 3 + g*j. What is f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -7\/192  (c) -2\/11  (d) -1  (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 82501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -r**7\/357 + r**6\/51 - r**5\/17 + 5*r**4\/51 - 5*r**3\/51 + r**2\/17 - 10*r. Suppose n(p) = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 19547?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7157113 to the power of 1\/2, to the nearest integer?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 53*h**4 - 14*h**2 + 29*h + 20 wrt h?\nAnswer: 636*h**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*l + 18624 = -7*l + 47885. Round l to the nearest ten.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - -10) + 5 - ((-5 - 4) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -0.2. Let g = -0.5 - s. Let i be (-988)\/342 - (-3)\/1. What is the closest to -1\/3 in -2, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/13)\/i*i)**35 assuming i is positive.\nAnswer: i**(70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w + 105 - 273 = 0. What is the remainder when 230 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20524\/49 + (-7)\/(-49) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318 = -79*g + 950 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3267 (base 8) to base 12.\nAnswer: -bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 55536 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -200, -106, 152, 658, 1496, 2750, 4504, 6842?\nAnswer: 9848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of 0 - 10*w**2 - 2\/15*w**5 - 7\/40*w**6 + 0*w**4 + 0*w**3 + 0*w. What is the third derivative of l(i) wrt i?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2746864?\nAnswer: 2, 171679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12933072?\nAnswer: 2, 3, 19, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25555282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + 17*x - 18. Let j be o(17). Let g be 4\/18 + (-500)\/j. List the prime factors of (g\/8)\/((-3)\/(-18)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3750008*a + 112. Let w = -608 + 622. Let d be g(w). Round d to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6\/65 - 89\/260. Let i(z) = z. Let m be i(1). Let c = -2.2 + 0.2. What is the closest to g in c, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 54 = -3*h. Solve -2*v + 5 = h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4688\/33?  (a) -0.5  (b) -23  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12*11\/(-165))\/(4\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -701*o*w**4 - 3*o*w**3 - 2011*o + 1 wrt w?\nAnswer: -2804*o*w**3 - 9*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 5402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 23*h - 10. Calculate c(5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*a - a - w, 20 = a - 5*w. Let y = a + 0. Let t(l) = -5*l + l**3 + 339*l**2 + 3 - 2*l**3 - 345*l**2. Determine t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 + (-3 - -2) - -2. Let y be (-12)\/(-42) - (-12)\/7. Suppose -y*g = -3*g + 3. Solve 5 = k - 0*k - 3*n, -g*k + a = n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3584 and 8960?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + s + 169, -144 = -6*o + 2*o - 4*s. Suppose 3*r = -5*m - 155, 3*r + 6 = -9. Let b = o + m. Calculate the remainder when 23 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - h + 3. Let y(m) = 4*m**2 - 4*m + 11. Let r(p) = 22*g(p) - 6*y(p). Factor r(n).\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01068896544 to five decimal places.\nAnswer: 0.01069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-2) - (-798559)\/105780. Let o = v - -4\/5289. Suppose -90*n - 401 = -2561. Find the common denominator of o and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, m: 4}. Give prob of sequence mmzm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5a379 (base 13) to base 7\nAnswer: -1256110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 8*p**2 + 9*p + 3. Let i be o(9). Suppose 5*v + 189 = 4*f + 2*v, -i = -3*v. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*r - 45*r**2 + 11*r)*(4 - 4 + r)*(4 - 4 + 6*r - 4 - r + 4 + (-3 - 5 + 2)*(1 - 1 - 5*r)) to the form i*r**2 + o + j*r + a*r**3 + k*r**4 and give k.\nAnswer: -1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -701 - -705. What is the second derivative of 127*s + 4*s**3 - q*s**3 - 35*s**4 - 25*s wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1888.1 years?\nAnswer: 1.8881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h - 2. Let q(y) = 21*y - 11. Let n(t) = -2*q(t) + 11*r(t). Let k(w) be the second derivative of w**3\/6 + 2*w. Calculate n(k(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(7800\/(-130))*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 2:05 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (9 + -3) - -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -0.038\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 + -25. Suppose -m = -3*t + 5*d, -3 = -t - 3*d - 7. Let g(k) = 4*k + 0*k - k**2 - 6 + t. Let l(p) = -p**2 + 5*p - 5. Determine 4*g(j) - 3*l(j).\nAnswer: -j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/387 and 11\/9.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -55103 by -136.\nAnswer: 55103\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - 16. Let w be (6\/(-7))\/((-8)\/56). Let d = 9 - w. Calculate the remainder when a is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11150712?\nAnswer: 2, 3, 154871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4307.7 - 4308. Which is the closest to x?  (a) 1\/4  (b) -5  (c) -3  (d) 0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7.417435l?\nAnswer: 7417.435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, n: 5}. What is prob of sequence nnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.048 * 2.9.\nAnswer: -0.1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - p**2 - 4*p - 22. Let k(o) = -5*o**3 + 4*o**2 + 18*o + 88. Let w(u) = -9*d(u) - 2*k(u). What is w(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 8*t - 1. Let d be (8\/2)\/(6\/9). Let s be x(d). Let p = -3 - s. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190cc (base 14) in base 12?\nAnswer: 30764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 7*j - 36. Let q be f(-12). What is the highest common divisor of q and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46684 is divided by 321.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*d, 2*q - 3*d = -0*d + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 + 14*j - 11. Give u(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t + 8. What is g(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49 + 884386*v - 869558*v + 49.\nAnswer: 14828*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i**2. Let x(d) = 10 + 11844*d - 23951*d + 11963*d. Give x(r(c)).\nAnswer: 432*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8764079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -1110*r. Let o(b) = -4*b. Determine o(k(c)).\nAnswer: 4440*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-19)\/38*1\/2. What is the third smallest value in v, 3, -0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -4*n**3\/3 + 38*n**2 - 85. Let w(b) = 0. What is b?\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 17004021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 17*n - 1284. Let m be c(74). Do m and 23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*h + 42*h - 3535095 - 2158449 = 0. What are the prime factors of h?\nAnswer: 2, 43, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-2))**28\/(m**(-3)*m\/m**(3\/7)))**(2\/25) assuming m is positive.\nAnswer: m**(-358\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (12 - 6 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -11\/2, 1189, 4\/3?\nAnswer: 1189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - 32*t**2 - 576*t - 324. Calculate l(45).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4236*l**2 - 513*l - 1 wrt l?\nAnswer: -8472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*y**3 - 11 + y - 11 + 22 to the form n*y**3 + k*y + s*y**2 + u and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 4 + 0)*(71*q - 33*q - 27*q) - 4 + 1 + 2 + q)*(-4 + 4 - 3*q + (0 + 5 - 4)*(-5 + 2*q + 5)).\nAnswer: 10*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - 13*j + 7. What are the prime factors of o(-9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -165?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1\/2, -1.8 in descending order.\nAnswer: 1\/2, -1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 8574.03243 to the nearest integer.\nAnswer: 8574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from upyppjpjp. Give prob of sequence puy.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/sqrt(7)*4 - (sqrt(13) + -3 + sqrt(1573) + sqrt(13)).\nAnswer: -9*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 638839093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 + 13 - (-78)\/(-12). Suppose 12*h - 3\/2*h**3 - 18 + r*h**2 = 0. What is h?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/14 in 4\/9, -14, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 28645004 and -0.1.\nAnswer: 28645003.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 4*n - n = -5, -4*n + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - -7. Let m = -10 + f. Calculate the lowest common multiple of (4 + (-5 - -2))\/(2\/4) and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25200355*w**2 - 25200355*w**2 - 4*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 52*d = 11*d. Which is the nearest to 3\/4?  (a) -0.2  (b) 45  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 979\/3 - 2897\/9. Calculate the common denominator of f and 53\/69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c0db1 (base 16) to base 14.\nAnswer: 552209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700) + -4 - (sqrt(7)*1 + -5))**2.\nAnswer: 18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i + p - 39 + 51, -5*i + 21*p - 88 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-4)*((-40234)\/(-27))\/(-2). Let x = -745\/2 + u. Which is the closest to 0.1?  (a) 0  (b) x  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/3)\/s*s)\/(s\/s**3*s)*(s*s\/(s**(-1)\/s*s*s))**(-16) assuming s is positive.\nAnswer: s**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16236, -65019, -146324, -260151, -406500, -585371, -796764?\nAnswer: -1040679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*u**3\/9 + 3502*u**2\/9 + 35770*u\/9 + 90050\/9.\nAnswer: -2*(u + 5)**2*(5*u - 1801)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55375*y = 56066*y + 3455 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1382583173 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0738*-1.8339.\nAnswer: -0.13534182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-349)\/(-9) + 12\/54?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 30 + 12\/(-8)*2. Suppose -2*i + 4*r + 30 = 0, -4*i + 0*i - 5*r = -125. Let u = z + i. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110100 + 1000101010101111100?\nAnswer: 1000101010011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 180 - 102. Let m be 1\/(-5) + 7\/(105\/f). Suppose -m*d + 4240 = 2*v + 3*v, -4*v - 2*d = -3396. Round v to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, s: 2, f: 4, w: 12}. What is prob of sequence zs?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11488 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1006.0239 take away -3?\nAnswer: -1003.0239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 79*k. Let f(n) = 9283*n - 3. Give u(f(x)).\nAnswer: 733357*x - 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/4  (b) -0.1  (c) -22  (d) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 85580 by 44.\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17039571749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -325\/11 not equal to -0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -889.37 - -930.6. Round q to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.441 * -1.1\nAnswer: -0.4851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135118 is divided by 290.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -8. Suppose -4*t + 96 = -5*w, -4*t - d*w = -4*w - 96. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 5*l**2 - 7*l - 4. Suppose -m = 1 + 5. Let k be c(m). Let u(z) = -244*z - 2. Let f be u(k). What is f rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6214 - 1?\nAnswer: -6215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g = -g + 6597. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*m + 2761 = 65*m + 10305. Calculate the remainder when 6071 is divided by m.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.374109 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*1.85.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1400468000 rounded to the nearest 1000000?\nAnswer: 1400000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 73058642 - 0?\nAnswer: 73058642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 260 = 30. Let o = -42 - r. What are the prime factors of o*(-1)\/(-8)*112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 7. Let z(k) = -2*k - 3*k + 2*k**2 + 0*k**2 + y + k. Suppose -12 = -3*l - l. Determine z(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g**3 - g**2 - 8*g + 6. Let d(u) = -11*u**3 - 2*u**2 - 17*u + 13. Let z(k) = 16 + 24 - 79 + 23 - k. Let q be z(-10). Determine q*d(n) + 13*t(n).\nAnswer: n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -2*z - 20, -30*k + 34*k = 3*z + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than -19458675?\nAnswer: -19458674.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 270403*a**4 - 255320*a**2?\nAnswer: 6489672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 4*w**3 + 26*w**2 - 4*w - 155. Determine h(-8).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 554 by -6.\nAnswer: -277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 8. Let v = -2 + g. Calculate the greatest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -6*s - 62. Give g(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2783, 2789, 2805, 2837, 2891?\nAnswer: 2973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -2906 and -2906 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19320, 38576, 57854, 77166, 96524, 115940?\nAnswer: 135426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -7*f + 9. Let g be o(-8). Let q be 1\/((-2)\/(-8)) - 3. Let w be 0 + q - (-25 - 0). What is the greatest common divisor of w and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -328272068*m**2 - 805098998?\nAnswer: -656544136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46060668, 46060667, 46060666, 46060665, 46060664?\nAnswer: 46060663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k + 1. Let s(n) = -10*n + 19. Let j(m) = 10*p(m) - 2*s(m). Calculate the remainder when j(13) is divided by 26 - ((-1 - 1) + 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -86 divided by 1082.\nAnswer: -43\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/9*9\/2*(-72)\/18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13985 - 5?\nAnswer: 13980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 36\/24*20\/6. Suppose -3*k + 56 = 5*g, 2*k - 60 = -s*g - 6. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z. Let i(p) be the third derivative of 23*p**6\/360 + 17*p**4\/24 - 3*p**2. Let y(j) be the second derivative of i(j). Calculate y(n(b)).\nAnswer: 46*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1849*g*s**3*v + 5*g*s**3 - 2*g*s + 3*g - 77743*s**3*v + 7*s**3 + 6685*s + 1 wrt v.\nAnswer: 1849*g*s**3 - 77743*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -1\/804  (b) 16  (c) -0.3  (d) -5  (e) -4  (f) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyfyyfygffyfygyyfy. Give prob of picking 1 y and 1 f.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161 = 52*j + 5. Let c = 7 - 5. Suppose -c*y + y + 23 = -5*d, j*d + 21 = 3*y. Solve -5*u = 2*r - 18, 0*u + 5*u + y*r - 22 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/96)\/(-6*(-1)\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -613482 divided by -2\nAnswer: 306741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 68*j**2*n**2 + 16*j**2*n - 19*j**2 - 8*j*n**2 - j - 40 wrt n.\nAnswer: 136*j**2*n + 16*j**2 - 16*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/(-2352)*14)\/(1\/3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*u + 80. What is the remainder when 36 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 630 - 254. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -97, 13 in increasing order.\nAnswer: -97, -5, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68394.\nAnswer: 2, 3, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*sqrt(78)*-5 + sqrt(78) - sqrt(78))\/(-4*1*sqrt(6)).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -26938 - 21?\nAnswer: -26959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4 + 5*t + 0*t + 17 - 6*t. Let n be (8\/1)\/(2\/4). Let q be x(n). Solve -5*b - 7 = -q*v + 13, 2*b + v = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*x**3 - 2*x**3 - 15*x**3 - 2*x - 29*x + 9*x to i*x**2 + d*x**3 + m*x + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 30\/(2092\/523*-1*(-2)\/(-4))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of d**3\/3 - 15*d**2\/2 - d. Let v be q(15). Calculate the highest common factor of 135 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*n = -178*n + 10 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (((-10)\/(-21))\/((-915)\/(-52704)))\/(106\/(-371))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1592215 is divided by 199026.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -30*w**2 + 436*w - 402. Calculate y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-44)*n**(18\/5) assuming n is positive.\nAnswer: n**(-202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26612696, 53225386, 79838076, 106450766, 133063456?\nAnswer: 159676146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1185 + 1351. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from nmmzgew?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = 4*m - 3492. What are the prime factors of m?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 5*o - 1 = -3*o, 2*b - 14 = -2*o. Sort -1, 1, 5, b, -7 in ascending order.\nAnswer: -7, -1, 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 64  (b) -0.06  (c) 5  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.69381 decades in months?\nAnswer: 6323.2572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5568931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2415)\/30*8\/20 - (-8 - -7)\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 28\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4899 + -4902. Which is the nearest to -12?  (a) 1\/4  (b) 3\/31  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**5\/11 - 6700*j**4\/11 - 106826*j**3\/11 - 41824*j**2 + 94136*j\/11 + 2613856\/11 = 0.\nAnswer: -3334, -7, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 96 and 168?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 148*f = -144*f + 8, -5*f - 9 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a - -2691?\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-12) + (-388)\/679 + 11\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4584096749 to the nearest integer?\nAnswer: 67706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 3*r - 5*r + 92, -4*k = 3*r - 160. Calculate the remainder when 85 + -3*2\/(-6) is divided by (-400)\/r*(0 - 9\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h = -15*h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {a: 1, d: 2, r: 8, q: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*w - 66 = -23*w + 4*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13690*p + 1 - 13690*p - p**2 + 158*p**3 + 0 + 0*p**2 to the form v + q*p + w*p**2 + k*p**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykmv when four letters picked without replacement from {v: 5, o: 9, y: 1, k: 1, m: 1}?\nAnswer: 1\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -7. Let a(u) = u**2 + u + 6. Let y be a(v). Let j(c) = c**2 - 5*c - 3. What is the units digit of j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -121374, -242761, -364148?\n\"Answer: -121387*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express z**3 + 4*z**3 - 10 - 8*z**2 + 12 - 4*z**3 in the form c*z + w + b*z**2 + y*z**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 146548 (base 11) to base 2.\nAnswer: 110111101110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -302?  (a) 0.2  (b) -1\/7  (c) -0.5  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 + 6. What are the prime factors of g\/(-63) - 284\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**2 + 21. Let w(t) = t**2 + 806638. Give w(z(a)).\nAnswer: 4*a**4 - 84*a**2 + 807079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**4 - 7725*j**3 - 735895*j**2 + 28931625*j - 28188000 = 0. Calculate j.\nAnswer: -1440, -135, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34546038 to the nearest integer?\nAnswer: 5878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4\/8 + c**3\/8.\nAnswer: c**3*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/77*21\/(-12)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7290679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-144)\/66 - -2) + 72\/154?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fii when three letters picked without replacement from {n: 1, i: 2, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n + 18*n = -264. Is 13 a factor of 314\/12 + 22\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*m*p*y**2 - 12*m*p*y + 2*m*y**3 - 826*m*y**2 + 2*p*y**3 wrt p?\nAnswer: -10*m*y**2 - 12*m*y + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/65, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 270793*b**5 + 544414*b**2?\nAnswer: 16247580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 176 - 160. Suppose -v + 13 = -4*c, 3*c = d - 1. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -134, -3, 2, -4, 5, -8 in increasing order.\nAnswer: -134, -8, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z**4*z)*z*z\/(z\/(z**(-1\/2)\/z))*((z*z*z*z*z\/(z*z**(-5)*z))\/z)\/z**5 assuming z is positive.\nAnswer: z**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19059532 by -2.\nAnswer: -9529766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 11 + 0)*(0*b + b - 2*b)*(0 - 1 + 0) in the form m*b + s and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.2, 738265, -0.1, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -7*r**3 - 5*r**2 + 2*r + 4. Let a(h) = h**3 + h**2 - 1. Let s(g) = 5*a(g) + q(g). Calculate s(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -1043 + 12*b + 4*b + 1155 + 2*b. Let c be n(-6). Solve 19 = 5*o + c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -15391079.53 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of 3*d**4\/4 + 2*d**2 - 19. Let t(v) = -6*v**2. Calculate t(g(u)).\nAnswer: -1944*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**2 + 70*p - 2224. What is v(-55)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/58 and -17\/11.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*f - 6 + 6)*(-2 + 2 + 4*f**2).\nAnswer: -72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 188541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -139*c*f*i**2 + 648*c*f + 273*c*i**2 + 4*c*i - 749*f*i**2 + 2*f - 46*i wrt i.\nAnswer: -278*c*f + 546*c - 1498*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16, -59, -146, -289, -500, -791, -1174, -1661?\n\"Answer: -2*v**3 - 10*v**2 + v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 14491098 divided by -6\nAnswer: -2415183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 214 plus -884?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + 5*m - 3*m)*(1 - 1 - m**2) + 3*m**3 - m**3 - 5*m**3 + (-4 + 2*m**2 + 4)*(0 - 2 + m - 2) to s*m + t + w*m**3 + a*m**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**5 - k**4 + k**3 + k**2 - k + 1. Let z(w) = -7*w**5 - 15*w**4 - 21*w**3 + 243*w**2 + 192*w - 1992. Let v(u) = -40*q(u) + 5*z(u). Factor v(h).\nAnswer: 5*(h - 5)**3*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7677860761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1, 0.03, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2 - d**2 + 0*d**2 - 1. Let u(h) = -3*h**2 + 3. Let c be 28\/16 - 2\/(-8). Let m(i) = c*u(i) - 5*f(i). Solve m(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-37 + 52 + -13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 5*l**2 - 1. Let j(p) = p**2 + 20*p + 80. Let d = -37 - -22. Let w be j(d). What is v(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, -5, -9, 5, -3.\nAnswer: -9, -5, -3, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*v - 182*v - 288 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*v**2 + v - v)*(-8 + 5 + 4) + (-4889 + 266*v + 4889)*(1 - 2*v - 1) to c*v + b + a*v**2 and give a.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 198596910 to the nearest integer?\nAnswer: 14092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -5*r**2\/2 + 905*r - 1800 = 0.\nAnswer: 2, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5, 53, 123, 227, 377, 585, 863, 1223?\n\"Answer: 2*u**3 - u**2 + 37*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 - 20*n**2 - 71*n + 46. Let x be u(23). Suppose -5*o - 52 = -p - 11, 0 = o - p + 9. Put -2, o, x in descending order.\nAnswer: x, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 - -57. Let g = -23 + p. What is the second biggest value in -0.1, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -65.9 - 63.4.\nAnswer: -129.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 a when four letters picked without replacement from {a: 3, q: 1, h: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sslslsslss. What is prob of picking 1 l and 1 s?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 - 6*u + 2. Suppose -2*d + 4*a - 30 = -7*d, 2*d - 12 = 3*a. Let r be t(d). Let i = 0 + r. Solve -7 = -4*b - 3*n, -i*n = -5 - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1933 = -4*b - 3*c, 3*c = -2*b - 0*c - 971. Let y be ((-1)\/(-3))\/(b\/(-5328)). Is 3 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3144 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-3\/5)*c*c**(1\/3))\/(c**0)**46 assuming c is positive.\nAnswer: c**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**5\/3 + 475064*o**4\/3 - 12535618324*o**3 + 991554153784312*o**2\/3 + 46687975375993070*o\/3 - 15893163974465824 = 0. What is o?\nAnswer: -48, 1, 79193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.2 + 3. Let n = 3.026 - 0.026. Let f be (6 - 0) + (-4)\/2. Sort h, f, n in increasing order.\nAnswer: h, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1851 (base 9) in base 5?\nAnswer: -21143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -186  (b) -4\/7  (c) 1.2  (d) -0.2  (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 266557 (base 9) in base 11?\nAnswer: 100a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - 10*o**2 + 9*o + 10. Let i be w(9). Solve -4*a = -9*a + 3*u + 10, i = 3*a - u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -873049\/190 - -4595. Is c <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 20*i + 54. Determine z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*v**2 - 2*v**2 + v**2)*(-6*v + 2*v - 14*v) to i + c*v + u*v**3 + x*v**2 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v = 4*v + 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -2. Let c be (-2*1 + 2)\/v. Suppose -2*g + 0*g = -6. Solve c = y + 3*j - g, 3 - 6 = -4*y - 3*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and 22.75197?\nAnswer: 27.75197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 932, 1183, 1434, 1685?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 908220580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + 6 + -3 + 2. Suppose 4*b - b = f, -9 = -3*b + 4*f. Calculate the remainder when (u*2)\/b*-1 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/718 and 27\/4.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 55 + -19338?\nAnswer: -19293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -1222?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 9 = 0, -43*d + 4 = -20*d - 21*d - v + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 376 and 141.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 997141 to the power of 1\/2, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of h**4\/4 + 2*h**3 - 3*h**2\/2 - 30*h + 105. Calculate the remainder when 23 is divided by i(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 15) to base 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13015 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*b - 162 = -9*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3659 + -1558. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (-8 - -4)) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*i + 66 + 67 + 64 - 270 + 69.\nAnswer: -11*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.4 + 0.9. Let d = p + -1. Let u = d + 3.5. What is the closest to 1 in 2\/9, 5\/2, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 6. Let u(d) be the second derivative of d**4\/12 - 5*d**3\/6 - 9*d**2\/2 + 3*d. Let z be u(7). Give v(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 382378 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 2118 = -2122. Let w be 966\/10 - (2 + -1). Let t = -96 + w. Which is the closest to -0.4?  (a) t  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100101111010101100011 (base 2) in base 11?\nAnswer: 779536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 432 = -4*k, k - 460 - 395 = -4*m. Suppose 9*n - m = 290. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4804 + 96147\/20. What is the common denominator of 2\/(-5)*(-1075)\/(-140) and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + 1 + 0*g + 3*g - 5*g + 3*g. Let h(y) be the first derivative of 8*y**3\/3 - 5*y**2 - 9*y + 2873. Determine 2*h(r) + 18*j(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -0*b. Suppose b = -d - 3 + 22. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-514)\/40 + 12 + 2\/(-5).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194179247 = 12*i - 50620753. What is i rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a factor of 1846759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 29*w + 30. Let r be q(21). Which is smaller: r or 643?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535.87 - -3?\nAnswer: 538.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 252 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1099 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 159 + -234. Let h = -523\/7 - w. Let y = -13 - -9. Which is the closest to 1\/4?  (a) h  (b) 0.1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 1:21 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 101021 (base 9) to base 16\nAnswer: e995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 1)*(-15 + k**3 - 3 - 22).\nAnswer: -2*k**3 + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*l + 33*l + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*t**2 + 16*t**2 - 6*t**2 to p*t + u*t**2 + k and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r - 3. Let i be f(-4). Let a(z) = z**3 - 5*z**2 + 1. Let m be a(i). Let k be 7\/(-28) + m\/(-4). Sort 3\/5, k, -3\/2 in descending order.\nAnswer: 3\/5, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/62 and 68\/3.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19733.\nAnswer: 7, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1132798 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1004798622*h**6 - 5509*h**2 - 125189*h wrt h.\nAnswer: -120575834640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 985.2386 grams in kilograms?\nAnswer: 0.9852386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0795129 and -9057249?\nAnswer: 9057249.0795129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 266948*j*y**3 - 6779*j*y**2 wrt y?\nAnswer: 1601688*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 335809446 divided by 26058?\nAnswer: 12887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -y**5\/60 + y**3\/6 + y**2. Let d(w) = 9 - 4*w**2 + 2*w**3 - 10 + 5*w**2 + 0*w**2. What is d(k) + 2*l(k)?\nAnswer: 2*k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4638 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -368900 greater than or equal to -368906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147589621?\nAnswer: 59, 127, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 34 = 2*v, 5*b - 30 - 8 = 4*v. Let h(z) = z**3 - 6*z**2 + 2*z - 4. Let n be h(b). Let l = n - -29. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1954151780.\nAnswer: 2, 5, 7, 293, 47639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18627056 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z**2\/5 - 16143668*z\/5 + 209867008\/5 = 0.\nAnswer: 13, 4035904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (170\/68)\/(((-2)\/(-4))\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, a: 1, j: 1, f: 2, g: 1, r: 1}. Give prob of sequence gaf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1ae02 - 2?\nAnswer: 1ae00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -626*h = 19985 - 7465 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 986*b - 980*b - 18. Suppose -b = -g, 0 = n + 3*g - 166 - 144. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -1. Let l(w) = 2*w - 5. Suppose -2*z - z - 18 = 0. Let t(p) = z*h(p) + l(p). Let m be ((-4)\/12)\/(4\/48). Let x(f) = -3*f - 1. What is m*t(b) - 3*x(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05318 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8561, 68468, 231075, 547736, 1069805, 1848636?\nAnswer: 2935583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-3\/16)\/h)\/(h**(-3\/25)\/h))\/(h*h\/((h**(-1\/15)*h)\/h))**39 assuming h is positive.\nAnswer: h**(-32267\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1172007?\nAnswer: 3, 130223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.076  (b) -2\/7  (c) -2\/377  (d) 5  (e) 2\/9  (f) -1.6  (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11395?\nAnswer: 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 7*j + 9. Let h be r(8). Let c be (((-2)\/6)\/h)\/((-9)\/5238). Let m = c + -109. List the prime factors of m.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 508 divide 37552646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3315200 (base 8) in base 13?\nAnswer: -252a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1058 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)\/(sqrt(160) + -2*sqrt(160)))**2 + (sqrt(425) - ((sqrt(425) + ((1 + sqrt(425))*-5 - sqrt(425)) - sqrt(425)) + sqrt(425)))**2.\nAnswer: 300*sqrt(17) + 245217\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/24, -9\/2, -5 in decreasing order.\nAnswer: 5\/24, -9\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/6*(-114)\/(722\/19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*n - 2*u - 34, -3*n - u = -38. Suppose 3*r + n*a - 472 = 8*a, 4*r = -a + 638. Calculate the lowest common multiple of r and 12.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 19*i + 64. Let k be h(15). Solve -t - t = -k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119235000 rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 36*y - 85*y - 126*y + (0 - 4 + 2)*(-3*y + y + 4*y) - 6*y + 3*y + y + (-2*y - 2*y + 3*y)*(4 - 2 - 1) - y + 4 - 4.\nAnswer: -183*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*x + 2*x. Suppose -8 = -2*z - 0, 8 = 2*n + 5*z. Let v = n - -10. Solve -v*j = -2*j + x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 676 (base 8) to base 3\nAnswer: 121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 0.1  (b) -4  (c) -5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*p - 171 = 5. Solve 0*m + 2*m = 3*k - 2, -4*m + 4*k - p = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 867295549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) -1  (c) -4\/5  (d) -44364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 232*h**2 + 11*h + 27. Let w be u(-7). Let i = 2391 + w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19451 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 9*v**2 + 32*v + 39. Is q(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00065483718 rounded to 6 decimal places?\nAnswer: -0.000655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 266300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/((-20)\/6))\/(8\/(-40)*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 172213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 6*i. Let o(p) = -5*p**2 + 4*p - 4. Let x(r) = -11*r**2 + 9*r - 9. Let j(m) = -9*o(m) + 4*x(m). Give j(l(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -x**3\/2 - 97264599*x**2\/2 - 194529195*x\/2 - 97264597\/2 = 0.\nAnswer: -97264597, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s. Let p be y(3). Calculate the highest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/4*(4 - 4). Let d be 1 + 3 - (11 + -9 - -7). Put d, 19, o in descending order.\nAnswer: 19, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 3465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 28*o**2 + 60*o - o**5 + 36 + 128*o**4 - 11*o**3 - 9*o**2 - 135*o**4 = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + d**2 - 3*d. Let v(n) = 4*n**3 + 14*n**2 - 24*n. Let z(s) = 6*b(s) - v(s). Solve z(u) = 0 for u.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1504231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 382, 377, 368, 355, 338, 317, 292?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - -1*sqrt(304)) + sqrt(57)\/sqrt(3)*-1 - ((-4 + sqrt(38)\/sqrt(2))*-3)**2.\nAnswer: -315 + 76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25 - -17. Let w be (-4)\/(4\/5) - -24. What are the prime factors of i + 5 + w\/(-2)*-14?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1418\/14 + 24\/(-84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000606 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 5*y - 1850, -309*y = -3*i - 310*y - 1110. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -176856 divided by 122\nAnswer: -88428\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**3 + 8*p**2 - 14*p + 1. Let r be h(4). Let u = -55 - r. Let t = 1.2 - 0.2. What is the third smallest value in 4, u, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 499336483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000022561535 to 7 decimal places.\nAnswer: 0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 643 (base 10) to base 14.\nAnswer: 33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rsfnwss. Give prob of picking 2 s and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-350559)\/(-18) + 24)*(2 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(14)\/sqrt(7) + sqrt(2) + sqrt(2) + (sqrt(128)*-3 - sqrt(2))**2.\nAnswer: 3*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 2 o, and 1 b when four letters picked without replacement from {d: 1, o: 2, b: 14}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ilwt when four letters picked without replacement from {l: 5, t: 3, i: 3, o: 1, w: 3}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + sqrt(11) + sqrt(11) + sqrt(33)\/sqrt(3) + 4) + -3.\nAnswer: 12 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3114 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: Evaluate (-44 - -19)\/((-2)\/2) - 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 16, -2\/27, 3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.07, -1, 3\/13, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - 1. Let f be 121 - (c - -4 - 0). Suppose 0*h + f = 4*h. Round h to zero decimal places.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -38.17928 to one decimal place.\nAnswer: -38.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -5*a + 34, 3*n - 15 = -2*a + 2*n. Suppose -2*c - 70 = -a*c. What is the greatest common factor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5615055.\nAnswer: 3, 5, 41593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-146)\/(-70) - (1 + (-25)\/35)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126 divided by -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -12. Let q be (3 + 1)\/(-2) + c. Find the common denominator of (-1)\/(-8)*q*-1 and -21\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5922 and 1083246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 113 - 111. Suppose 0 = 3*m + 5*y - 1180, -n*m + 4*y = 2*m - 1552. List the prime factors of m.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 16) to base 8\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -553 divided by -2?\nAnswer: 553\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -211 - -211.000000207. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 267?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbqhbhhshuhrb. Give prob of picking 1 q, 1 h, and 1 s.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1103 (base 5) to base 4.\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/18*-2)\/((-155)\/7440)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 7*h**3 - 19*h**2 - 5*h - 5. Let u(w) = -9*w**2 + 78 + 3*w**3 - 8*w + 6*w - 80. What is 2*l(q) - 5*u(q)?\nAnswer: -q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -37*b**2 - 13*b. Let r(c) = -4*c**2 - 13. What is o(r(d))?\nAnswer: -592*d**4 - 3796*d**2 - 6084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1.2 - 1111\nAnswer: -1109.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 11 + (-9)\/(243\/303). Let t(w) = -w - 8. Let g be t(-7). What is the fourth smallest value in -1\/7, 3\/4, g, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 94\/18 + 22\/(-99). Calculate the highest common factor of z and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 4*a + 3*h - 17, 2*a + 11 = 3*h. Solve a*w = y - 3*y + 16, 0 = -w - 2*y + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/17, 1\/8, -6\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-19 - -15) + (9 - (1 + 0)). Let w(p) = -5*p + 31. Let j be w(g). Suppose -4 = 4*u - 104. Solve -3*z + 2*h = h - j, z + 5*h - u = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -241 + 4*v + 123 + 132 to the form r*v + a and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 100 + (-80 - 4) - (0 - 13)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1*(1*sqrt(91) + sqrt(91)) + sqrt(91)))\/((sqrt(847)*2 + sqrt(847) + sqrt(847))*-5).\nAnswer: -3*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 8*o + 144 = 0, -72 = 3*x - 11*o + 4*o + 13*o for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (0 - (-2 + 4)). Suppose 3*l = -3*t + 105, 135 = h*l + 2*l - 5*t. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3332, -222, -3776?\n\"Answer: -3554*k + 6886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**3 - 5040*j**2 - 19441095*j - 9812923550 = 0. What is j?\nAnswer: -851, 2710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 244 a factor of 372588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 97, 4, 1\/6 in ascending order.\nAnswer: 1\/6, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 7) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1 - 67*y**3 - 19*y**3.\nAnswer: -86*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35.6 + 35.9547. Let f = n + 0.0453. Let p = 21 + -13. Which is the nearest to p?  (a) f  (b) 2  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1486.57*0.5\nAnswer: -743.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u + 20. Let a be c(-9). Suppose 3 = -s + t + a, 4*s - t - 38 = 0. Let r = s + -5. Sort -2, r, 1.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1512 divided by 6.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 8*w**2 + 3*w - 5. Give x(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j = -3 - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/12)\/((-72)\/(-192))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8.2 - -7.81. Let b = 0.19 + x. Let w = -5 + 3. What is the nearest to b in -4, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*q - 31 = -5*q, -3*q - 15 = 0. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 666365799320.3 minus 0.5?\nAnswer: 666365799319.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/1*10\/(-15) + 9. Find the second derivative of 5*s - g*s**5 + 19*s**5 - s wrt s.\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -23  (b) -2\/15  (c) 5  (d) -7  (e) 4  (f) -10  (g) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.41757 + 0.08133. Let p = -34.5 - -36. Let q = x - p. What is q rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) 0.665  (c) 0  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13446123 to the power of 1\/2, to the nearest integer?\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of -a**9\/56 + a**7\/210 - 87*a**5\/10 - 38*a**2 + 3*a. Find the third derivative of l(s) wrt s.\nAnswer: -1080*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40\/6 - 2) + -4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -1 + sqrt(243) - (0 + sqrt(243) + -1)) + -1)**2*5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**2 + l**2 + 0*l**2 + 2*l**2 + 4*l**2 - 2*l**2 + (-l - 4*l + 4*l)*(0*l - l + 3*l) - 8 + 6*l**2 + 8.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n - 34 = 24*u - 19*u, 4*u - 8 = 4*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**3*(c*c**(-29))\/c*c**5*c**25)**12 assuming c is positive.\nAnswer: c**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-6))\/(4 - (-21748)\/(-5436)). Suppose 3193 = 10*n + l. List the prime factors of n.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in 2\/11, -1.76, 1, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -6, -1397 in increasing order.\nAnswer: -1397, -6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {u: 1, g: 2, i: 6, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 10588.800975 to the nearest 100.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gjg when three letters picked without replacement from {g: 4, j: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16106.4 + -11668453.\nAnswer: -11684559.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 w, and 2 g when four letters picked without replacement from {w: 2, g: 2, p: 1, f: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-1\/2)*z*z**(-1)*(z\/z**2)\/z*z*z**(-2\/3)*((z**(-2)*z)\/(z*z\/z**(-2\/19)))**(2\/19) assuming z is positive.\nAnswer: z**(-3235\/2166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 651183 equal to 651182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-208)\/4)\/(-9 + 11). Let d be 2\/12*z - -5. Solve -2\/3*c**4 - d*c**3 + 0 + 0*c**2 + 0*c = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 139 = 5*o, 8*j - 10253*o + 36 = -10252*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*c = 40*c + 9934 + 37707. What are the prime factors of c?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 283029471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-9)*2692092\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 PM and 7:18 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-15) + 4\/5. Let h be 0 - r - (-4 + -6 + 6). Let f be (-3)\/(4 - h - 2). Calculate the greatest common factor of f and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38058 - 12607 - 12599 + k - 12852.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*x + 17, -2*z - x + 1495 = 0. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -110 + 988\/9. Sort r, 0.4, -1 in ascending order.\nAnswer: -1, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -3*w + 4*t, -3*w + 25*t - 24*t = 14. Let a(f) = -8*f**2 - 2*f - 4. Calculate a(w).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11 + 20?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1782)\/(-264))\/(144\/896).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4595603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**3 + 14722*j**2 + 26622464*j - 1736146944 = 0. Calculate j.\nAnswer: -3712, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 103, 3056, 11049, 26596, 52211, 90408, 143701?\n\"Answer: 419*p**3 + 6*p**2 + 2*p - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*y - 1 + 1)*(-7*y**3 + 2*y**3 + 0*y**3) + 3*y**4 - 2*y**4 - 4*y**4 to k*y + r*y**2 + w*y**4 + q + b*y**3 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*b + 0*b + b)*(-2 + 0 + 0) - b + 10 - 4 + 18 to the form w*b + l and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -261*m - 12 = -267*m. Let r(v) = 22*v**2 + 10*v - 5. Let u(t) = 23*t**2 + 9*t - 5. Let o(z) = -3*r(z) + 4*u(z). Is o(m) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 8:28 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2942, -2944, -2946?\nAnswer: -2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7533 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-45)\/(-3540))\/((-3)\/(-8)))\/(9\/((-81)\/(-9)))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 69.59 + -69.5899997089. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -167008855, -4, -1 in descending order.\nAnswer: -1, -4, -167008855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13.3 + -12.9. Let f = h - 0.77. Round f to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36 + 38. Let b(w) = 6 - 17*w + w**3 - 8*w**2 + 23*w + 0*w**n + 4. What is b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1396)\/(-880) - (4*7\/(-1680))\/(19\/57).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4)\/n)**(-47)\/(n*n**(-6)*(n*n**(4\/9))\/n) assuming n is positive.\nAnswer: n**(2156\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 5812*x + 2907*x + 2913*x.\nAnswer: 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 221*h + 2261. What is the remainder when s(-10) is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36649.75 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 4*k - 5*y, 3*k - 14*y = -11*y + 66. Calculate the remainder when 186 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -8\/7, 5, -1\/3 in descending order.\nAnswer: 5, -1\/3, -1\/2, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 338 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -16, -29, -40, -49, -56, -61, -64?\n\"Answer: h**2 - 16*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 9. Let a = 4 + k. Solve a*d - 3*d + 7 = -2*r, 2*d = 4*r + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 10 + 0*b - 2*b - 6. Suppose 2*a = 4*f + 14, 5 + 2 = 3*a + f. Let h(o) be the third derivative of o**4\/24 - o**3\/3 + o**2. What is a*m(x) + 5*h(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*l - 12 = 0, -6 = 3*i + 5*l + 2. Which is the closest to 0?  (a) -2\/5  (b) i  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 33\/99*12\/(-10). Sort 10, -0.9, n.\nAnswer: -0.9, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21339 - 11792. Let i = y - 6357. Suppose -5*u = 2*n - 7*n - i, -1270 = -2*u + 4*n. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3983 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 8. Solve -2*q = -5*c + 2, d*c = -4*c - 5*q + 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3073.406 weeks in minutes?\nAnswer: 30979932.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 65 - 3 - 2 - k - 11 - 12 - 31. Suppose 0 = -0*m - 5*m + 15. What is r(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 47054178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -420784197 plus -452?\nAnswer: -420784649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -9*r**3 + r**2 - 2*r. Let b(w) be the first derivative of -w**4 - w**2\/2 - 63. Calculate -5*b(v) + 2*o(v).\nAnswer: 2*v**3 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-11)\/2)\/((-9)\/(21 + -3)). Let o = -310.2 + 310. Which is the biggest value?  (a) o  (b) 2\/9  (c) 5  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*h**3 - 3*h**2 + 0*h**2 - 7*h**3 + 0*h**3 + 12*h wrt h?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318 is divided by 86.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/190*1*16\/(-28).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.2  (b) -1017  (c) 4  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -5*s + 12, 6 = -3*s + s - 4*v. Let g = 269093 + -269096. Put s, 5, -2, g in ascending order.\nAnswer: g, -2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-4)\/(-6))\/((-2)\/(-699))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 132 by -2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303*u**2 + 21*u**2 + 993*u**2 - 118*u**2.\nAnswer: 1199*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 21032322122 (base 4) in base 3?\nAnswer: 11112222010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + o + 2, 4*o = -1 + 9. Suppose 5 = -p*j - k, 24 = -5*j - 5*k - 1. Solve 0 = 5*c + 4*z + 7, j*c - c + z - 5 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g - 2. Let q be s(6). Let w(z) = -2*z**3 + 5*z**2 + z - 4. Let u(f) = 3*f**3 - 11*f**2 - 2*f + 9. What is q*u(j) + 9*w(j)?\nAnswer: -6*j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*q - 21*q - 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -4  (c) -251\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 58*f**2 - 102*f + 560. Let s be k(-56). Which is the closest to s?  (a) 61  (b) -3  (c) 5  (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2.79168 decades?\nAnswer: 27.9168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66596929.\nAnswer: 7, 37, 109, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Is 1404309691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of b**5\/5 + b**4\/6 - b**3\/6 + 3*b**2\/2 + 14*b. Let o(j) = 5*j**3 + 3*j**2 + 4. What is -3*k(c) + 2*o(c)?\nAnswer: -2*c**3 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 11 - 14 + 11*n + 10. Let r = 24 - 22. What is the units digit of b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j - 6*j**2 - 2*j**2 + j**2 + 28 - 15*j + 0 - 27.\nAnswer: -7*j**2 - 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - n + 20, 6*m = 4*m + n - 41. Let a = -11 - m. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -2*y + 4*y. Let z(w) = y - 3*w**2 - 10. Let t(i) = -i**2 + 0*i**2 - 3*i**2. Give z(t(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 + -11. Suppose -11 = -h - u. Solve h*n + 20 = 2*q, -1 = 2*n - 2*q + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -6.17295 and 0.062.\nAnswer: -6.11095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of 0*k**4 + 201*k + 1\/10*k**5 + 11\/10*k**6 + 43\/3*k**3 + 0*k**2 + 0. Find the second derivative of v(f) wrt f.\nAnswer: 396*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -3*y + 6. Let r be z(-4). Let u be (14\/3)\/(r\/3213). Suppose -5*o = -4*f + 3*f - u, -5*f = -2*o + 347. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1382 + 2678. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2. Let c(i) be the first derivative of 3*i**5\/20 + 13*i**3\/3 - 10. Let w(h) be the third derivative of c(h). Give j(w(b)).\nAnswer: 324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccccccoccllcz. Give prob of sequence zl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/11 + 22821\/(-99). Let m = j + 1321\/6. Find the common denominator of m and -14\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 + (-10)\/(210\/91). Which is the closest to -4?  (a) q  (b) -12  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 497827111 divided by -1909?\nAnswer: -260779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001761703 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**4 - i**4 + i**4 + (-2*i**2 + i - i)*(-3 - 2*i**2 + 3) - i**2 + 52*i - 34*i - 33*i - 2*i**4.\nAnswer: 5*i**4 - i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 12*m + 259038 = 9*m. List the prime factors of m.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -1005469\/6?\nAnswer: -1005469\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -2. Let r be 0 + q - (-510315)\/66. Let s = 7726 - r. What is the common denominator of -87\/22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -3014?\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -f**4\/2 + 2*f**3\/3 - 3*f**2\/2 - 5*f + 166. Let z(q) = -2*q**3 - 9 + 3*q**2 - 9*q + 4*q - q**3. Determine 5*d(m) - 3*z(m).\nAnswer: -m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -33723*k. Let j(g) = 2*g**2 + 64. Calculate j(t(p)).\nAnswer: 2274481458*p**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.5*-0.02597.\nAnswer: 0.038955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 2*d + 3, 0 = 2*t + 2*d + 2. Suppose t = j - 0*j - 1. Solve 0 = 4*i + 16, 3*u - i + j = i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48462531.\nAnswer: 3, 13, 1242629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/15 >= -8230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3258671 less than -1136.345?\nAnswer: 3257534.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1987 divided by -4241?\nAnswer: -1987\/4241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 12*u - 29. Determine h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 4*a = 4*y, 2*a + 30 = 4*y. Let z be -8*(0 - (1 - -1)). Suppose 0 = q - 3*q + z. What is the least common multiple of q and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - m + 6 = 0. Let j = 160.077 + -160. Let q = j + -4.077. Which is the closest to 3?  (a) q  (b) -3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*g**3*t**2 - g**3*t - 3*g**2*t + 3581*g*t**3 + 438*g*t wrt t.\nAnswer: 6*g**3 + 21486*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -10*o**3 - 2*o**4 + 3*o**4 - 1 + 11*o**3. Let j(a) = 32*a**4 + 6*a**3 + 14*a - 6. Let k(h) = 6*c(h) - j(h). Find the second derivative of k(l) wrt l.\nAnswer: -312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4262813138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -3 + sqrt(17)*1*-6 + (-4 + sqrt(153))**2 + (-5*(sqrt(170) + 2*sqrt(170) + sqrt(170) + sqrt(170)))\/((sqrt(10) + sqrt(50)\/sqrt(5) + sqrt(10))*-4).\nAnswer: -335*sqrt(17)\/12 + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 69\/46 + 1\/2. Suppose m*w - 4*w = 20. Is (9 + w)*(-1 - 556) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -6*x - 21. Let p be 3 + 1 + x + 1. Solve p*o = -2*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/(-30)*-1*(-313 + -1). Let w = -12919\/3 + 4305. Sort 5, 2, g, w in descending order.\nAnswer: g, 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 6:03 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*f - 45 + 10 + 18 + 14 to r*f + m and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 20989, 20979, 20945, 20875, 20757?\n\"Answer: -2*a**3 + 4*a + 20987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/3)*d*d**(1\/8))\/((d\/(d\/d**6))\/d**(-6))*((d\/((d**(2\/3)*d*d)\/d)*d)**(-2\/23))**(-9\/13) assuming d is positive.\nAnswer: d**(-73111\/7176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 974 + -4869\/5. Which is the third biggest value?  (a) -5  (b) 0.1  (c) 14  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.8 - -0.2. Let k = 33 - 47. Let l = k - -14.2. What is the closest to l in 5, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000293638 to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2944 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 14 - 9)*(-k + k + k + (6*k - 3*k - 2*k)*(1 + 3 - 2) + 1 - 1 + k - 5 + 11*k + 5) - 6*k - 5 + 5 + k - 3*k + 6*k.\nAnswer: -257*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 18 + 10 = 0. Suppose l*x - s = 109, -114 = 4*x - 6*x - 4*s. List the prime factors of x.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25.26 + 1.46. Let l = 9.6 + h. Let u = l - -14. What is u rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 65 - (-128 - -116 - (9 + -4 + -5 + -9))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -3\/7, 1\/5, 2\/9, -148980 in descending order.\nAnswer: 9, 2\/9, 1\/5, -3\/7, -148980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-74 + (-710352)\/(-9600))*15?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274 - 25 = -27*y + 4*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1060347 and 7.\nAnswer: 7422429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.757477 times -0.5?\nAnswer: -21.8787385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -54*r**3 - 3*r**2 - 2*r + 2062. Let c(z) = -5*z**3 + z**2 + z - 1. Let q(m) = 3*c(m) + k(m). What is the first derivative of q(s) wrt s?\nAnswer: -207*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0049477 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -67?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (600\/28)\/(5\/2800). Round o to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 12 - 33. Suppose -3*v + k*v = 776. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -8871*r. Let j(d) = 3398*d. Determine c(j(v)).\nAnswer: -30143658*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84.36611ml to litres.\nAnswer: 0.08436611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 4:35 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1344 - -4211. List the prime factors of x.\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m. Let y(r) = -306372*r - 22. Determine y(x(p)).\nAnswer: -306372*p - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - -0.0009.\nAnswer: 2.0009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84, -193, -318, -465, -640, -849, -1098?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -16. Let q = 24 - h. Calculate the remainder when 41 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 + -22. Solve -19 = 7*x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + -3) - sqrt(98))*-2.\nAnswer: -6 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 15*d + 39. Calculate the remainder when u(0) is divided by 31.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 529*g**2 + 10*g. Let v(q) = 49198*q**2 + 935*q. Let y(a) = 374*r(a) - 4*v(a). Let j(d) = -d**2. What is j(y(l))?\nAnswer: -1110916*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p + 0*p - 3*p + 6*p. Let o(r) = 13*r + 2*r - 5*r. What is n(o(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 74, 116, 162, 212, 266?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 54559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 630\/16*90\/(-25). Let r = -142 - i. Let k = -2 + 2.1. Which is the nearest to k?  (a) r  (b) 0.3  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/30 - (-23)\/3. Let j = y - 22\/3. Which is the second smallest value?  (a) j  (b) 2  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (2 + -8) - (2 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 115094857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11\/(33\/18 + -2). Let x = 41 + m. Let d be (3 + (-1 - 598))*x. What is d rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1059, 1043, 1027, 1011, 995?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -23511, -41593, -59675, -77757?\n\"Answer: -18082*n - 5429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -308*o + 9*o**2 + 308*o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 3*w + 46 - 29 = 0, -b + w + 7 = 0. Let x(g) be the first derivative of 2 + 1\/14*g**b + 2\/21*g**3 + 0*g**2 + 0*g. Let x(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 496 + -470. What is the remainder when (-2)\/3 - ((-1832)\/(-6))\/(-2) is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1168 divided by 8.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a day in minutes?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**4 + 27423280*h**3 + 37601869144440*h**2 + 150407147498560*h + 150407037805520.\nAnswer: 5*(h + 2)**2*(h + 2742326)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -62422, -249147, -560356, -996049, -1556226, -2240887?\n\"Answer: -62242*a**2 + a - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3  (b) -4  (c) 7475439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (1 + -1))*4. Let v = 129\/695 + 2\/139. Which is the smallest value?  (a) -1  (b) v  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3*q**3 + 127*q**2 - 2301*q - 161. Calculate j(-56).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -65*o + 9 + 9 + 66*o - 2. What is r(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -858, -1698, -2526, -3342, -4146?\nAnswer: -4938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p + 2. Let h(u) = -5*u + 5. Let w(b) = 4*b + 3 - 12 - 9 - 6. Let t be w(5). What is t*h(n) + 10*m(n)?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/120*-4*10\/(-9)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (x + 0*x + 3*x)*(3*x - 5*x + x) - 3*x**2 + x**2 + 3*x**2 as w + g*x**2 + i*x and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 7*j + 134. Let m(z) = 100*z**2. What is s(m(o))?\nAnswer: 700*o**2 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 3*w + 5. Give n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*3*-5*sqrt(95))\/(sqrt(20) + ((sqrt(80) - -4*sqrt(80))\/sqrt(4) - sqrt(20))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/1665203 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 - 5*d**2 + 2*d - 5. Give c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 1128*o**2 - 15812*o + 33. Determine g(14).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -767 (base 14) in base 5?\nAnswer: -21323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15922 + -15551. What is the remainder when 1138 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -291.7  (b) 0  (c) 4273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -3\/5, -5, 5 in increasing order.\nAnswer: -5, -3\/5, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17105)\/10263 + 2\/5 + 1855\/(-75)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -27656*i - 387794. Determine z(-14).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - -9) + -15 - -38\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.071639ml in litres?\nAnswer: 0.003071639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13273 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 s, 1 n, and 1 y when four letters picked without replacement from syssyslslssssn?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2266075821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-45)\/27 - 2965\/(-15) is divided by 102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9263.2333 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133690 is divided by 9521?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 0*o**2 + 8\/9*o**3 + 20\/9*o**4 + 8\/9*o**5 + 0*o = 0. Calculate o.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2950779*h**2 - 3537792*h wrt h?\nAnswer: 5901558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 104 and 5232960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 0) + (-4 - (2 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 46.8728505 minutes?\nAnswer: 0.004650084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -4*f**3 - 5*f**2 - 2*f - 8. Let d be z(-4). What is the greatest common factor of d and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - ((-9120)\/(-133))\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100011100011111 - 110?\nAnswer: -1100011100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, -3, 4, -2, 2 in decreasing order.\nAnswer: 4, 2, -2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.14, 0.055, 1\/6, 1\/12, -0.6, -5, 3\/4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a + 0*a - 2*a)*(5 + 0 - 4)*(-2*a**2 + 2*a - a**2 - 4*a).\nAnswer: -3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in -1\/6, -14, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/3 and -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -567662?\nAnswer: -5\/567662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*v + 451 + 1007. Let y be (-1 - v\/(-6))*416\/(-16). What is the highest common factor of y and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10307\/44 + ((-14)\/(-8) - 2). Find the common denominator of 2\/7 - (v\/112)\/(-1) and 20\/(-130) + (-2466)\/(-988).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80434 and 13886.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -4879*a + 278061. Determine n(57).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2520 and 42?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/16 and -17\/294.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-4))\/(1\/(-2)). Let g be (63\/30)\/(-3) + (-4)\/(-20). What is the third biggest value in m, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-4)\/3)\/(-2) - 43430\/(-258).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = x. Let f(r) = 0 + 0 - r + x. Let k(b) be the third derivative of 5*b**4\/24 - b**2. Determine f(k(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/40)\/(((-5)\/(-24))\/(260\/(-468))). Put 2, -7\/9, u, 0.3, 0.5 in increasing order.\nAnswer: -7\/9, u, 0.3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.81397 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6541\/5710 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 806 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1833)\/(-9)*1050\/(-2275)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 PM and 4:00 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5270*n + 5289*n - 140619. Is 89 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11388 and 38252.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m - 14 = -27. Solve -w + 2*w - m = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11010011100001101011001 (base 2) to base 16\nAnswer: -69c359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 538*n + 4034 - 26254 = 11674. Let a(g) = -2*g - 2. What is the remainder when n is divided by a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5890, -24260, -56062, -102262, -163826, -241720, -336910?\nAnswer: -450362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b - 5046*b**3 - b**4 + 3*b**2 - 3 - 2*b + 5046*b**3 to the form m*b**4 + q*b**2 + o + t*b**3 + x*b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5391 - 1797 + 73*n - 1795 - 1799.\nAnswer: 73*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 177546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4944 = 5*w, 6*w - 9888 = -4*c + w. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4*(-22 + -1))\/(-1). Let z = f - -140. Let r be (z\/15)\/(2\/5). Solve 3*q + 3*c = 2*c - r, 20 = 5*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0166574816 to six dps.\nAnswer: 0.016657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2\/(280\/(-35) - (-39626)\/4953)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ypyvcpyygvyycgc. What is prob of sequence ygvv?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 - 3) + 4 - 8. Let n be (-1 - 0)*(b + 0). Suppose -n*d + 22 = -2*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -72*t + 160. Let o(i) = -9*i - 3. Let g(c) = -5*o(c) + z(c). Determine g(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*k + 2*t - 3138 = 0, 15 = -k - 51*t + 56*t for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4604 in 2\/47, -5, -2, -0.5?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18435385483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.62276156 - 77.32350056. Let p = m - -76.7. Round p to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -4*o + 68. Let a be f(24). Let n be (5 + a\/8)\/(3\/28). What is the greatest common divisor of 49 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of -1\/6*g**6 + 0 + 1\/6*g**4 + 0*g - 1\/15*g**5 - 2\/35*g**7 + 0*g**3 - 36*g**2. Suppose f(p) = 0. What is p?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 3*l = -0*l + 13, 5*n - 47 = 3*l. What is the least common multiple of n and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/129 and (-1292700)\/183954 + (7 - 0).\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1922796674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29115111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**3\/3 + 1908*t**2 - 868032*t - 767577024 = 0. What is t?\nAnswer: -426, 1644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**4\/2 + 35205*j**3\/8 + 1229631*j**2\/4 - 1873041*j\/8 - 310707\/4 = 0.\nAnswer: -69, -1\/4, 1, 3002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 7:42 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6076357 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.09  (b) -63  (c) -2\/7  (d) -0.64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/49*7*4\/(-324)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*u + 155*u - 54 = -5*l + 335*u, -u - 58 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1948 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 10 - 2*s + 1 - 11. Let d(o) = 42*o**2 + 12*o + 3. Let b(g) = 43*g**2 + 9*g + 1. Let m(y) = -4*b(y) + 3*d(y). Determine m(z(l)).\nAnswer: -184*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 538480.1ml in litres?\nAnswer: 538.4801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i + 9 + 46. Let f = 1 - -3. Calculate the remainder when 30*i*(-5)\/(-50) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -8*b + 99. Let h be q(12). Solve 3*r = h*m + 15, 5*r - m + 11 = 24 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 - -31. Calculate the common denominator of 19\/5 and w - 110\/16 - 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 6*o - 9. Suppose 2*f + 0 = -5*i - 7, 4*f - 2*i - 46 = 0. What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2e2c (base 16) to base 12.\nAnswer: 6a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -9*j - 99. Let b be f(-11). Suppose u - 2*u = 0. Suppose 6*c + b*c = u. Solve c*w + 3*w - 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 493*g - 6. Determine s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (203 + 57 + 108 - 18)*(-n + 5*n - 3*n) + 1 - 1 - 3*n as l*n + k and give l.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.016 - -0.049. Let y = n - -4.967. Let l = 0.1 - 0.3. What is the closest to 2\/7 in 3\/5, l, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 244\/(-2880)*6 + (-3 - (-47)\/16)*-6\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1319504 + -20?\nAnswer: 13194a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 5*k - 0*k. Let y be ((-1)\/(-2))\/(3\/k). Suppose 44 - 203 = -y*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 90*k - 1. What is the units digit of n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58593.\nAnswer: 3, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10\/11 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 104 = -22. Let b = n - 16. Solve 3*x = -b*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4500739 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 92248917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 + 10*f**2 - 10*f + 4. Let x be z(9). Let o = 30 + x. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 2:06 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -360760 divided by -145?\nAnswer: 2488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 34 = -4*k. Let t = k - -12. Solve c + t*l - 10 = 0, 6*c + 5*l - 18 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + j = -0*d - 84, -5*d - 2*j = -92. Calculate the lowest common multiple of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 5)*(1 - 1 + 6*k)*(3 - 2 + 2).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5329*b**3\/3 + 9640307*b**2\/3 + 1451690240*b - 1454905452.\nAnswer: (b - 1)*(73*b + 66066)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 756*c**3 - 104*c**2 - 3*c?\nAnswer: 4536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84539 and 4277?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5091667 and 21.\nAnswer: 15275001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 19 = 14. Let i(s) = -3*s + 2. Let j = -485 - -483. Let x(f) = f. Determine j*x(t) + u*i(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 106 - 160. Let q = 22 + m. Let d = -31 - q. Solve 4*v + d = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 105 - 41. Suppose b = 5*r - 11. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 6*z**2 + 7*z + 6. Let l be m(-5). Which is the nearest to 2?  (a) -2\/11  (b) l  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, w: 2, s: 7, x: 1}. Give prob of sequence sd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from {h: 2, m: 1, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 87351810 a multiple of 3918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -3*q - 5. Let y(m) = 16*m + 15*m + 3 - 45*m + 16*m. What is -3*t(z) - 5*y(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -33*a - 489. Give y(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 283039, 567203, 851357, 1135495, 1419611?\n\"Answer: -t**3 + t**2 + 284168*t - 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 83 + -57. Suppose 2*d + 3*t - y = 0, 4*d + 4*t - 2 = 6*d. Suppose -5*u = -d - 3. Solve u*f - f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11052 - -11076. Let h(s) = 2*s - 48. What is h(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-3*2\/20))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 42 + 54 = s, 5*h = -4*s + 63 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.691048 rounded to 3 dps?\nAnswer: 3.691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-4 + 0 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of 37*c**4\/12 + c**3\/2 + c**2 + c. Let m be h(-1). Suppose -5*d + 4*s = -102 - m, -s - 2 = 0. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/10*(-3)\/12.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 62*d - 60 = 58*d, 4*h + 3*d = 55. What is the least common multiple of 165 and h?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 6. Suppose 0*v + 3*v - 3*f + 168 = 0, -v + 3*f - 56 = g. What is v rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43 - 30. Suppose -2*i + i + w = 2*d, -d + 4*i + 2 = 0. Let r(c) = c + 3. What is the units digit of r(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xwwwpwawx. What is prob of picking 1 x and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m - 6. Let a(p) = -p + 6. Let j(x) = -3*a(x) - 4*u(x). Calculate the smallest common multiple of j(0) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2214*c - 38 + 2*c**3 + 2239*c + 55 + 3*c**2 - 3*c**2 in the form o*c**3 + a*c**2 + b*c + t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 492 is divided by 160?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 3*o - 0*o + 2, -4*g + 12 = 2*o. Suppose -o*x + 5*x = -5*m + 15, 0 = 4*m + 5*x + 1. Calculate the least common multiple of (-4)\/(8\/m) + 21 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11.71 - -12.7. Let q = -0.58 + p. Let b = 0.4 - q. What is b rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.358496294 to 5 decimal places.\nAnswer: -0.3585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 16) to base 3.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4075 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 398 - 6764\/17. Let x(m) = -m - 7. Let f be x(5). Let w be (3\/2)\/(153\/f). Which is the smallest value?  (a) -0.1  (b) w  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of 4 - 1\/15*n**3 - 9\/5*n + 3\/5*n**2. Factor p(j).\nAnswer: -(j - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -26547 + 3*m + 2*m**4 + 26546 - 3*m + 764*m**2 as r*m**2 + l + d*m + s*m**3 + j*m**4 and give r.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1413 - 719. Is (w - 17)\/(2 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 28. Solve 5*a - y = s + 2*s, -2*a + s = -4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 37885 - 20198. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4000392 and 181836.\nAnswer: 4000392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -235\/448 + -3\/64. Which is the smallest value?  (a) 5  (b) q  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*p**3*q + 15*p**3 + 63*p**2 - 7*p*q wrt p?\nAnswer: 54*q + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 699 - 618. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1823 + 1?\nAnswer: -1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*i = 124*i + 5. Suppose i*g - 1887 + 552 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*m = 5*s - 14, -m + 10 = 2*s. Let z(n) = -m + 8 - 6 - 3*n. Let d(c) = -2*c. What is z(d(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (5 - -10) + -9 - (2 + 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, k: 2, f: 1, p: 1}. Give prob of sequence fp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (166*u + 223*u - 6*u)*(5 - 10 + 2).\nAnswer: -1149*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000038968 to six decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + t = 5*t - 402, 2*l = 4*t + 442. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5916 and 48156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/3 - 57402685*q**3\/3 - 366118681155983*q**2 - 7005397221941685744343*q\/3 + 14010798837308004581978\/3.\nAnswer: -(q - 2)*(q + 19134229)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 257002 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {g: 2, s: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*o - o - 9*o)*(0 + 2 - 1 + 95*o - 373*o) to y*o**2 + f*o + j and give y.\nAnswer: 2224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*1\/22*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 + 14*v - 12. Let c be q(-15). Suppose -c*p + 10 = 1, 4*t - 4*p - 156 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 732, 535, 194, -303, -968, -1813?\nAnswer: -2850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 36370 + 67234. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h. Suppose 5 = -2*t + 13. Suppose 0 = 2*n - 0*n - t. Let v(z) = -z**2 - 2*z**2 + z**n - 8*z**2. Calculate v(a(l)).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 174*s**2*u*y + 9*s*u*y**3 - s*u*y**2 - 727*u*y - 22*y**3 with respect to s.\nAnswer: 348*s*u*y + 9*u*y**3 - u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 1808, 3, -0.6 in descending order.\nAnswer: 1808, 6, 3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 19 = 4*i, 0 = i + 5*n - 4*n + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 3:52 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 + (-2)\/1)*3. Let n(v) = 4*v**2 + v - 2. Is n(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6480)*-2*2)\/((-4*sqrt(324))\/sqrt(9)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*k = 7*k - 15, 5*c - k = 205. Suppose -4*j - j = -c. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 4:38 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = -5*x - 79, 18*z - 5*x = 52*z + 36*z + 13 - 218 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46)\/(-230)*4\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -b**6\/60 - b**5\/10 + 4*b**3\/3 - 29*b**2. Factor j(n).\nAnswer: -2*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**2 + 2*j**2 + 3*j**2)*(2213*j + 2355*j - 590*j + 2310*j).\nAnswer: 6288*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27934725*u**5 - 4*u**3 - 413503786*u wrt u?\nAnswer: -558694500*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) -12  (b) -1\/4  (c) 0.1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(4\/(-8 + 6)). Which is bigger: g or -35\/19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*g**2 - 116*g**2 + 40*g**2 + 40*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3152 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/753652 and 75\/82.\nAnswer: 30899732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (1179 - 1166) + (0 - 0 - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 58590, 58532, 58434, 58296, 58118?\n\"Answer: -20*m**2 + 2*m + 58608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(28)\/sqrt(4) + 3)**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x - 3 + 2 + 1 - 4*x**3.\nAnswer: -4*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*b + 4*b - b + (114 - 9*b - 114)*(-5 - 1 + 1) + (1 + 2 - 2)*(-4*b + 4*b + b) + 1 + 1 + 1 + 2*b to the form j*b + n and give j.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/7  (b) 0.16  (c) 1\/59  (d) 0  (e) -0.4  (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -3*t + 135. Calculate the remainder when 89 is divided by t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -13*p + 17*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 43704242 to the nearest one hundred thousand.\nAnswer: 43700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, d: 2, g: 1, u: 2, v: 1}. What is prob of picking 1 c, 1 g, and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82*2.48202.\nAnswer: -203.52564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 39 = -c + 4*m, -m = c + 3. Factor 0 - 2\/13*z**c + 0*z + 2\/13*z**2.\nAnswer: -2*z**2*(z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(11\/5)*r)\/r*r*r*r*r*r**(-3\/2)*r)\/(r*r**(-3\/8)*r*r**(-23\/2)) assuming r is positive.\nAnswer: r**(487\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 + 10*a**2 + 10*a + 6. Let s be x(-9). Sort 5, 1, s in increasing order.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*o**3 + 4 - 129*o + 251*o - 121*o to the form d*o**3 + f*o**2 + y + q*o and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 25854745 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2. Let a(r) = -5*r + 4. Let q(k) = 10*k - 9. Let w(m) = 9*a(m) + 4*q(m). Determine i(w(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1098 times -2\nAnswer: -2196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.3 - -0.7. Let t = -4 - b. Let h = 19\/3 - 6. Sort h, t, 2.\nAnswer: t, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 2\/7  (b) -17\/8  (c) 0.5  (d) 0.1  (e) 0.091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 20 = 4*p. Let k = 10 - p. Let w(v) = -v**3 + v**2 + 19*v - 3. Let n(l) = l**3 - 24*l + 4. Let d(g) = 4*n(g) + 5*w(g). What is d(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 2*n + 2, -4*n - 2*s - 8 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 31 - 5 = 0. Let r be y + (0 - -2) + 0. Let n be r\/(-14) - (-40)\/70. Solve n = -2*l + l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11590.86 + -11959. Let i = q + 365. Let k = -3.140147 - i. Round k to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101022 + 20221220?\nAnswer: 21100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3b896a2c4 - -2?\nAnswer: -3b896a2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of -1 - 4*l - 3\/2*l**2. Let m(z) = z**3 + 4*z**2 + z. Let a be m(-4). What is d(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -62*m - 3. Let f be d(-8). Suppose o + 0*o = f. Suppose -5*k - 38 = -o. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = h - 32. Let s = 16 + -9. Let n be 2\/(-3) - (-33)\/9. Solve h = n*q - s*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.001779344 * -25\nAnswer: 0.0444836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-297)\/6*(1 - 7). Suppose -w + r = -3*k, -5*w + 1381 = k - 24. What is the greatest common factor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 6. Let l(g) = -4 + 2 + 1. Suppose -4*x + 2*w + 46 = 0, -5*x + 4*w + 9 + 47 = 0. Let j be (-8)\/(-3)*-9*(-2)\/x. Determine j*l(h) - n(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 + 1235856.\nAnswer: 1235855.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 12:29 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 0. Let a = -5.0000009 + q. Round a to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -269268, -269460, -269650, -269838, -270024, -270208?\n\"Answer: d**2 - 195*d - 269074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -4\/5, 2\/3, 5, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 711101662 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 756369.7 millilitres?\nAnswer: 756.3697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 + 48*i - 108.\nAnswer: -4*(i - 9)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*s - 5*s - 439 = 11041. Is -332 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1732896 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 4*w**3 - 29 - 9 - 12*w**3 to h*w**3 + t*w + j*w**2 + r and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 32, 2 in descending order.\nAnswer: 32, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -5 + 7 + y**3 - 1 - y**2. Let n(u) = -3*u**3 - 5*u**2 + 4. Let f(x) = -4*c(x) + n(x). What is the third derivative of f(d) wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 44 = -3*a - 58, 0 = -2*a - b - 61. Find the common denominator of 2\/32*(-20 - a) and 17\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(10\/(-4)))\/((-120)\/300)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-85*s**2 - 86*s**2 + 75*s**2)*(-30882 - 306*s**2 + 30882) to the form i*s**4 + d*s + a*s**3 + f + r*s**2 and give i.\nAnswer: 29376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-14) + (-2)\/7. Let m(a) = -3*a + 5. Let u(l) = 4 + 2288*l - 5 - 2287*l. Let k(g) = -m(g) - 2*u(g). Calculate k(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 9 = -a. Find the second derivative of -4*q - a*q**4 + q**4 + 0*q**4 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25424 - -13020. What is u rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7, j: 1, o: 12}. What is prob of picking 1 o and 2 x?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -350693, -350632, -350571, -350510, -350449?\n\"Answer: 61*u - 350754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4964 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 25dcd53 - 1?\nAnswer: 25dcd52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 377245 is divided by 8982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-7)\/42*3)\/((-1)\/42322) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -4*l + 86, -5*a + 5*l - 32 + 512 = 0. What are the prime factors of a?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*b + 5 - 10*b**3 + 2 + 2*b - 3*b - 1 as v*b**3 + l*b + u*b**2 + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of 23*z**5\/30 + z**4\/8 - 107*z**2\/2 - 27*z + 1. Let q(w) be the first derivative of g(w). Let v(f) = -f. Give v(q(a)).\nAnswer: -46*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36042 = -4*y + 10*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + 6 + -40 - -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventy-two fifths of a gram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 4*k + 22 = -3*g, 2*g + 17 = 3*k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720)*2 + -5)*-1 + 1)**2.\nAnswer: -288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4196649751\/1950 + -2152128. Find the common denominator of a and -13\/8.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 1 + 0 - (-6)\/(6\/(-17))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 2) + -3 - (-66 - -67)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*g + 20564000 = -4*g, 3*g = 5*d + 51410000. What is d rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 2:03 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 2*r - 1. Suppose 0*g = 3*g - 6. Suppose 2*k - 3*p + 9 = -2, 0 = 5*k - g*p. What is v(k)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -130041 (base 6) to base 7\nAnswer: -46036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9924885 divided by -3?\nAnswer: -3308295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6))**(34\/3) assuming b is positive.\nAnswer: b**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 - m - 1. Let u(c) = -72*c**2 + 66*c + 66. What is 2*u(h) + 132*z(h)?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -568113 by 2.\nAnswer: -568113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w**2. Let z(t) be the second derivative of 0*t**2 + 0 + 9*t - 2\/3*t**3. Determine u(z(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/1 + 5 - -475. Let l = 497 - o. Let q = -9 - -89. Calculate the highest common factor of q and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.26 + -1.46. Suppose -3*g + 34 = 7. Which is the smallest value?  (a) 2  (b) g  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2813 = -2363*u + 1108*u + 1158*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/762 and -109\/2540.\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-2) - 1)\/(4\/(-6)). Let j(f) = f**2 + 3 + 2*f**2 + 35*f**3 - 34*f**n. Let t(z) = 2 + 6*z**2 - 2*z**2 + 2 + z**3. Calculate 4*j(h) - 3*t(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 10*f + 122. Let q be (3 - (-33)\/f)*18\/(-24). Factor q + 1\/2*b**2 - b.\nAnswer: (b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((208\/(-728))\/((-2)\/(-37)))\/(1\/7).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1399263935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34245192 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -32.87?  (a) 8\/5  (b) 62  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/7, -2\/13, -2\/11, -1\/4, -14, -0.67?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 287 + -455?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 52 = 8*c - 3*c, 0 = -g - c + 12. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38 - 40. Which is the smallest value?  (a) l  (b) -3\/2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 6, z: 2}. Give prob of sequence tzt.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -1 + 1 + (4 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + o - 1. Let n(h) = -3*h**2 - 4*h - 3. Let t(j) = 3*d(j) - n(j). Suppose -6*i = -41 - 1. Let c(r) = 5*r**2 + 6*r. Give i*c(p) - 6*t(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-6) - (-30)\/9. Suppose -c + q = -0. Which is bigger: -0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2855903 is divided by 838?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31 + 33. Suppose -5*t + 18 = -3*c, 6*t = g*t + 12. Is 0 + c + 903 + -15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 6*o + 18. Let g(m) = -6. Let n(q) = -3*g(q) - u(q). Let w(s) = 4*s**2. Give w(n(t)).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17596.97 + -17671. Let v = k + 74. Let w = 0.24 + 0.16. Which is the biggest value?  (a) v  (b) w  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*w - 81 = 0, 48 = 4*y + 4*w - 12. Calculate the lowest common multiple of 518 and y.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**2 - 2*q**2 + 0*q**2)*(19 - 7 + 13).\nAnswer: -150*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 10:25 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*b**2 + 17*b**2 - 11*b + 0*b as w*b**2 + u*b + p and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - f - 1. Let o = -12617 + 12621. Let q(b) = 39*b**2 + 2*b + 2. Calculate o*s(z) + 2*q(z).\nAnswer: 74*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -15*v. Let p be r(5). What is the common denominator of -33\/10 and (21\/(-12) + 2)*p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t - 743*t**2 + 2*t + 748*t**2. Let g(k) = -4*k**2 + 11*k - 11. Let u(r) = 2*r**2 - 6*r + 6. Let s(w) = -6*g(w) - 11*u(w). Give x(s(o)).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 0*r - r)*(-25 + 110 + 98).\nAnswer: -183*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -5\/2 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (111 + 59 - 4)*(-3*r**3 - 2*r**3 + 3*r**3).\nAnswer: -332*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u - 3*u - 24 = 0. Let f be (-6465)\/195 + u\/26. Is 274\/(11\/(f\/(-2))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -11*v**3 + 7*v**2 + 5*v. Suppose 0 = 2*j + 2*i + 8, 4*j + 28 = 2*j + 3*i. Let c(l) = -17*l**3 + 11*l**2 + 8*l. What is j*x(z) + 5*c(z)?\nAnswer: 3*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -202 + 210.1. Let z = h + -7.6. Which is the nearest to -7?  (a) -0.3  (b) z  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -27193?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/12 - 16\/30)*(70 - 55).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000301231 rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 186, 198, 222, 264, 330, 426, 558?\n\"Answer: p**3 + 5*p + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1242699726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 AM and 6:32 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-4)*(-1040)\/200?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 5. Let s be 1*(p - -3) - -20. Let o be 0\/1 + -2 - -9. Calculate the greatest common factor of o and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/795 = -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rwwwbwrfbcpwbbpbw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39a (base 16) to base 12.\nAnswer: -64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 2*i**2 - 8*i. Let b = -1 + 5. Let z be y(b). Let v = z - -102. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*t - 95 + 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 95\/147 + 1\/49. Let v = 0.13 - 0.03. Let x = 2.25 + -2.05. Which is the nearest to v?  (a) -2  (b) x  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 108144 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 520 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1308\/(-60) - -22 - (-98)\/10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 280987300 rounded to the nearest one million?\nAnswer: 281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40761008 is divided by 2397706.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 124, 119, 92, 31, -76, -241, -476, -793?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -202\/3 + 68. Let j = 0.9 + 3.1. Which is the closest to 3?  (a) u  (b) -3\/5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -28*k - 516. Let n(f) = -22*f - 517. Determine 5*n(x) - 4*p(x).\nAnswer: 2*x - 521","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -2\/21  (b) 2  (c) -33.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-6*(1*sqrt(8))**2*-5 - (1*sqrt(1078) - sqrt(1078))\/(sqrt(11) + (sqrt(11) - sqrt(11)*-1)*-3)).\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/21)*o)**(-1))**(-11)\/(((o\/(o\/(o\/(o*o**(3\/2)))))\/(o*o*o**(-1\/2)\/o*o*o))\/(o*o\/o**(-1))**(-16\/3)) assuming o is positive.\nAnswer: o**(-43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3027859.\nAnswer: 19, 159361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1219391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 84 and 3435324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/39)\/(21\/(-91))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddrdrrdrrrdrrddddrr. What is prob of picking 3 d?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -79 - -79.5. Let t be ((-7)\/(-15))\/((-4)\/10). Let w = -5\/3 - t. Sort w, -0.3, z in ascending order.\nAnswer: w, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -5*u**2. Let x(n) = 19*n**2 + 15*n**2 - 30*n**2. What is x(y(q))?\nAnswer: 100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(242) + (-4*sqrt(242)*-5)**2 + sqrt(242))*3 + sqrt(288)*-3 + (sqrt(2) - sqrt(12)\/sqrt(294)))*1.\nAnswer: 216*sqrt(2)\/7 + 290400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 7. Suppose 0*h + 2*a = h - 7, -m*a - 16 = 4*h. Is 0.1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 - 5391788*o. Let i(h) = h. What is i(k(r))?\nAnswer: r**2 - 5391788*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of f**4\/36 - 4*f**3\/9 - 27*f. Suppose u(m) = 0. Calculate m.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + 2)**2 + sqrt(192) + -1.\nAnswer: 56*sqrt(3) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3322*w + 1624*w + 1461*w)*(-5 + 5 - 3 + (0 + 1 - 2)*(2 - 5 + 2) + 2 + 2 - 5) as j + i*w and give i.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 99058204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -o**3\/15 + 3*o**2\/5 + 91*o\/5 - 6127. Factor g(d).\nAnswer: -(d - 13)*(d + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 a when four letters picked without replacement from ggggaggaaaaagagaggaa.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 82?\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91\/52 - (-1)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 2:40 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/144 - (-1 - 27\/(-24))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 4) + -7 - -3 - (8 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/(sqrt(11) + (sqrt(11) + sqrt(132)\/sqrt(192) - sqrt(11)) + sqrt(11) + sqrt(11)))\/(sqrt(25)\/(-1*sqrt(5)) - sqrt(35)\/sqrt(28)).\nAnswer: -8*sqrt(2)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 0, -14, 5, 3 in descending order.\nAnswer: 6, 5, 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -7*p**3 - p**2 - 2*p - 2. Let w be y(-1). Suppose 7 = -w*o - o. Which is the nearest to 0.2?  (a) 0  (b) o  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -94, -157, -228, -307, -394, -489?\n\"Answer: -4*s**2 - 51*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -11339, -11341, -11347, -11357, -11371, -11389?\n\"Answer: -2*j**2 + 4*j - 11341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from myymy. Give prob of sequence my.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -26 times -0.104565\nAnswer: 2.71869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 d, and 1 l when four letters picked without replacement from {d: 2, l: 2, m: 9, p: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w + 2. Let j(h) = -3588*h - 18. Calculate -18*d(r) - 2*j(r).\nAnswer: 7122*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + (-145)\/30 + 1196\/24. Calculate the highest common divisor of c and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -m**6\/20 - 5*m**3\/6 - 7*m**2. Find the first derivative of h(r) wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -39 - (19 + -59) - (-2 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 6*m**2 - m. Let f be h(1). Suppose 3*p = 7 - 4, 0 = d + f*p - 4. What is the units digit of (d - -2) + 7 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6068694885.\nAnswer: 3, 5, 11, 36779969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -270, -125, -2765 in decreasing order.\nAnswer: -125, -270, -2765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 913\/19 - 48. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 25 = 5*x, -z + 40 = z - 5*x. Suppose -4*u + 4*g = -5 - z, -u - 1 = 5*g. What is the least common multiple of (-3 + u)*(3 - -2) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58894?\nAnswer: 2, 11, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26298, 55606, 84914?\nAnswer: 114222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 1 = 5*o. Suppose 0 = 3*f + o*t + 2, 0 = -3*f + f - 5*t - 6. Calculate the least common multiple of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 + 53. Let v be (-2)\/4 - (-8364017)\/b. What is v rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from otomtzttterztmttttz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 215808601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-6)\/(-12) - ((-22)\/4 + 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33849119*h**4 - 32*h**2 - 531*h + 2?\nAnswer: 812378856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 78027 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1200 and 4400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-430)\/(-40) + (-20)\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqhq when four letters picked without replacement from qkkkkkhkqqkqkkkqqh.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112) - (-1 + sqrt(112)*2 + sqrt(112) + sqrt(112))) + -6*(sqrt(112) + -2) + sqrt(112) + 5)**2.\nAnswer: -1152*sqrt(7) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 3*u)*(-2*u + 1 - 1) + (2*u + 4*u + u)*(-4 + 4 + 2)*(3 + 1 - 6)*(12 + 4*u - 8 - 11).\nAnswer: -106*u**2 + 196*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 15*g = -17*g - 2222, 0 = -3*j - 4*g + 6656. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 2860 - 1817 = 0. Suppose 5*s = 4*f - 1565, 7*f + s = 3*f + t. What is the greatest common factor of f and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 7*y**2 - 93*y + 35. Is r(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 790 - 494. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1968\/820*110\/56*1.\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 - ((2 - 0) + 0 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*h - 58*h - 24*h = 960 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22382360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -132*p + 597 - 1206 - 1107 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - (0 - 3))*1889\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 221746 and 190068.\nAnswer: 1330476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 AM and 7:11 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/224695 and -53\/440.\nAnswer: 19773160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -42339484*f - 39642499 wrt f?\nAnswer: -42339484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14335952 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, j: 1, k: 3, b: 1, n: 1, g: 3}. Give prob of sequence bk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*h + 4 - 512*h + 216*h.\nAnswer: -412*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g. Let o(t) = -5*t + 2. Let f(p) = o(p) - 4*q(p). Let s(r) = 2*r**3 + 3*r**2 - 3. Let w be s(-2). Does 6 divide f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.3, -2\/3, 1, 31 in ascending order.\nAnswer: -2\/3, 0.3, 2\/5, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -43  (b) 11  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/60775 - 453481\/364650. What is the common denominator of -21\/16 and h?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 3. Suppose -9 = -3*c - r*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 49*g**2 + 241*g - 1405. What is r(-54)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/10 + 5 + -4 - 468\/1755. Factor -8\/3*y**2 - 10\/3 + 17\/3*y + h*y**3.\nAnswer: (y - 5)*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 10) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -85, -890, -3293, -8170, -16397, -28850, -46405, -69938?\n\"Answer: -146*p**3 + 77*p**2 - 14*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 + 7. Let q be (-46)\/(-10) - x\/(-15). Suppose 0 = -q*c + 3*i + 65, 3*c + 5*i = i + 30. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4 + ((sqrt(1331) - sqrt(1331)*1*-2)**2 - (0 + (sqrt(1331) + 1 - sqrt(1331))))*-2)*1.\nAnswer: -23964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 2 j, and 1 e when four letters picked without replacement from cenjncennnnnjn.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 6836\/30 + -3*2\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-237)\/2765*25\/90*-3*(-4)\/(-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (702\/1053)\/(184\/12).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 + 2 - 2)*(3 + 2 - 3)*(-3*p - p + p).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((1*sqrt(2744) - sqrt(2744))\/((sqrt(80) - sqrt(80)*-1)\/sqrt(10)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1020*h**2*y**3 + h**2*y - h*y**2 + 11706*y**3 wrt h.\nAnswer: 2040*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5023011 is divided by 627851.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-51)\/3)\/(-2 + 1). Let i = r + -7. What is the smallest common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.12?  (a) 3\/7  (b) -4  (c) -49  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of -n**5\/30 + 453*n**4\/8 - 929*n**3\/3 + 2824*n**2. What is the derivative of b(d) wrt d?\nAnswer: -4*d + 1359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 126*d + 6. Let v(b) = 14*b + 1. Give -o(j) + 4*v(j).\nAnswer: -70*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let k be 20\/35 - 2\/7. Suppose -o + 4*q = -3*o + 16, 9 = -3*o + 5*q. Let j be (0 - 1)*(-5)\/(-20). Which is the closest to k?  (a) 0  (b) j  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-100)\/55 - -2 - 3268\/(-418)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2935*y**2 + 17615*y + 8. Determine t(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/18*24\/(-9). Let g(v) be the second derivative of 0 + 1\/45*v**6 + 2*v + 1\/3*v**4 - 2\/15*v**5 + 1\/3*v**2 - r*v**3. Factor g(w).\nAnswer: 2*(w - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-21524)\/(-16) - 9\/36?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31972*p + 16699*p - 28770*p + 7272*p - 47420*p.\nAnswer: -84191*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 7*l**2 + 277*l - 16. What is the hundreds digit of r(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 26 - -1) + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04651 + -0.04651. Which is the nearest to w?  (a) 0.04  (b) -1\/3  (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -205*g**2 - 24*g + 34. Let s(o) = -52*o**2 - 6*o + 8. What is 13*s(r) - 3*t(r)?\nAnswer: -61*r**2 - 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - 10*r**2 - 17*r + 294. Determine o(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 7*i**2 + 9*i + 2. Let y be o(8). Suppose 0 = m - 3*m + y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence opoo when four letters picked without replacement from {o: 3, p: 14}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is 109146 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -298 = -5*b - 288. Let x(j) = -2*j**2 - 14*j - 4*j**2 + 17*j + 0*j**2. Determine x(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -476\/57 or -9?\nAnswer: -476\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4 = 2*t, -2*t + 7 = -4*u - u. Let c be (2\/2)\/1 - -1. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 6 = 2*m + 3*p, -5*p = -2*m + 12. What is the closest to 1 in 13, -0.05, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 + 8016984*x\/7.\nAnswer: 2*x*(x + 4008492)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-534)\/(-33) + (-6)\/33. Let w = 2 + x. Let j be w\/(-6)*10\/(-6). Calculate the greatest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 2*h - 6*h. Suppose 4*v - h*g - 42 + 110 = 0, 4*g + 40 = -5*v. Let y be (-2)\/v*3*10. Solve -2*n - 3 = -y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16)\/(-104) - (-37)\/13. Suppose 7*w - f = 2*w - v, 4*w + 4*v - 12 = 0. Suppose w = -11*a + 2492 - 534. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {n: 1, j: 2, x: 1, v: 1, m: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17277, -17268, -17261, -17262, -17277, -17312, -17373?\nAnswer: -17466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 87340738 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -1. Let w(l) = 2 - l - 1 - 2*l. Let u(t) = -3*r(t) - w(t). Differentiate u(a) with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1290 a factor of 294258030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.09  (b) 3\/8  (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 plus -1750.1?\nAnswer: -1822.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -52195.068 - -984.\nAnswer: -51211.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*h**3\/11 - 96*h**2\/11 + 270*h\/11 + 972\/11.\nAnswer: 6*(h - 9)**2*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 23103100223 (base 4) in base 9?\nAnswer: 5514668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4015, 12791, 21581, 30391, 39227, 48095, 57001, 65951?\nAnswer: 74951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-80)\/96)\/((-2)\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00097449 to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4149.5392 - 4148. What is n rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -49 + 45.9. Let u = q - -3.5. Which is the second smallest value?  (a) -0.4  (b) -23  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 3*k + 606 = 0, -5*k = -3*d + 48 + 412. Calculate the greatest common factor of 375 and d.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 5. Suppose -j*x + 68 = -0*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -3\/25730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = p - 4*l, p - 45*l - 7 = -44*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 + -1 + 5)*1. Let l be -2 - 1 - (-2 - a). Factor l - 1\/3*z**4 + 0*z**2 - 1\/3*z**3 + 0*z.\nAnswer: -z**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 165752, -3, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nvcc when four letters picked without replacement from {v: 3, n: 3, c: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-224)\/116 - (-4)\/899?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 20, 238 = -m + 2*h + 19. Let y = -45 - m. Let g = y + -95. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19019 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 + 1826*y - 88*y - 304*y.\nAnswer: 1434*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {t: 2, f: 5, c: 2, o: 4, p: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 7*a = 2*a + 14, 5*z + 2*a = 14. Suppose 61 = 21*v - 128. Solve -r + v = z*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhphphkpphpppppphh.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 387\/(-18) + 3\/2. Let j be (-5)\/(z\/72) - 2. Suppose u + 2*u + n = 16, 3*u - 2*n - 4 = 0. Calculate the greatest common factor of u and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2597 >= 4225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*o + 38*o - 1202 = -26 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u - 2. Let b be 2\/(-5) - (-13)\/(-5). Let r be n(b). Suppose -r*i - i + 235 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -9. Suppose -5*p + 2*w - 3*w = 21, 2*w = -2*p - 2. Let x be f*(1 - 0) + p. Is x greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -6\/35  (b) 4\/9  (c) 11  (d) 2\/195  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -843800 divided by -32?\nAnswer: 105475\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 71 - 61. List the prime factors of 1043\/28 + v\/(-8) + 2.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s + 26 - 26)*((-3*s + s + 0*s)*(-3*s**3 + 2*s**3 - s**3) + 0*s - 2*s**4 + 0*s + 5*s**4 - 2*s**4 - s**4).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**5 + 32*q**5 - 5*q**5)*(0 + 3 - 1) + 5*q**5 - 28 + 28.\nAnswer: 59*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 20. Suppose z - 2 = -v*z. Suppose 2*y - 5 = -5*t, 2*t - 14 = -3*y + t. Solve -z*n - 3*n - y = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 + 30. Let j be u\/8 - 2\/8. Let x(o) = o**2 - o - 1. Give x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*q + 4 = 4*i, 0 = 2*i - q - 2. What is the nearest to 1 in 19, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/35 and 117\/67910?\nAnswer: 475370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**2 + 2*p. Let k be c(2). Let v be 1\/(4\/(k\/(-27))). What is the third biggest value in 1, -0.06, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3*x + x + 216 = 0, 3*x = 5*j - 217. Suppose 4*y - j = 12. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 81343938 divided by 6257226\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4*(-12)\/(-80)*5. Solve q - t + d = 0, 5*q - t = -5 - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 3*k, 0 = 2*f - 2*k - 28. What is the units digit of (36\/(-10))\/(f\/(-35))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57965.\nAnswer: 5, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -1255*b**3 + 2*b - 728. Let g(i) = 5021*i**3 - 9*i + 2911. Let j(h) = 2*g(h) + 9*u(h). What is the first derivative of j(w) wrt w?\nAnswer: -3759*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -8*k**3 - 6*k**2 + 4. Let b(y) = 15*y**3 + 12*y**2 + y - 7. Let s = 8 + 3. Let m(f) = s*j(f) + 6*b(f). Suppose m(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000125830363 rounded to seven dps?\nAnswer: 0.0001258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4110523304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2e2 (base 15) in base 4?\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 975000 is divided by 194984?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 94*c + 36 + 100*c - 191*c + 4 - 2*c - 4 + (-1 - c + 1)*(-1 - 1 + 0) - c - c + 4*c.\nAnswer: 5*c + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**0\/(j\/(j**(2\/7)*j)*j)*j**(-2)*j\/(j*j**(2\/3))*(j**(-2\/3))**(-2\/79)*(j*j**2\/j)**(-1) assuming j is positive.\nAnswer: j**(-8899\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1603 (base 12) to base 16\nAnswer: -a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 45*u - 83. Let m(v) = 12*v - 22. What is -6*j(x) + 22*m(x)?\nAnswer: -6*x + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52385397 or 52385381?\nAnswer: 52385381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -k**2 - 2465834*k - 1520084328889 = 0.\nAnswer: -1232917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 - c**2 + 3*c**2)*(7 - c - 7) + (c**3 - 3 + 3)*(3 - 1 + 0).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 5*d = -84 + 11 - 191, 47*j = 43*j + 16*d - 840 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23\/40505 or 0?\nAnswer: -23\/40505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 455 + -402. Calculate the remainder when 185 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 343057 and 17732.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 4)*(-2*g - 796 - 785 - g**3 + 2*g**2 + 1568).\nAnswer: -g**3 + 2*g**2 - 2*g - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-4)*c*c\/c**7)\/((c\/(c\/c**(-1\/13)*c)*c)\/c**(1\/2)))**(-37) assuming c is positive.\nAnswer: c**(8103\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 2 - 4. Find the third derivative of 6*a**5 - a**u + 0*a**2 - 8*a**5 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + b**2 - 5*b + 2. Let g be p(-3). Let w be 2\/(-2)*(-4 + 7)*g. Solve -w*z + 2*x = 11, -3*x - 9 = z - x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 - 416*k + 420.\nAnswer: -4*(k - 1)*(k + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -683 + 683.18. Let l be (-5 - (-3)\/1) + 1. Let y = -55 + 56. Which is the closest to y?  (a) l  (b) -5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 6*n**2 - n + 3. Let g(a) = -12*a - 139. Let l be g(-18). Suppose 0 = 4*s + 3*s - l. What is the lowest common multiple of s and w(-6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56955 - 29870. Let g = p + -3981422\/147. Find the common denominator of g and 38\/33.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*d + d. Let t be (44\/(-36) - -1) + 332\/36. What is the highest common divisor of d and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.3, -6, -3, 0.1, 10\/7 in increasing order.\nAnswer: -6, -3, 0, 0.1, 0.3, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110 = 5*n - 3*i, 5*n - 90 = 5*i + 20. What is the least common multiple of 8 and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 4*v - 17 = 0, -2*r = -146*v + 141*v - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -479, -11, -1 in ascending order.\nAnswer: -479, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20*h - 90*h - 2*h**3 + 2*h**3 + 4*h**4 - 130*h - 548 wrt h.\nAnswer: 16*h**3 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**7\/105 - 19*c**6\/60 - 6*c**5\/5 - 193*c**2. Find the third derivative of j(f) wrt f.\nAnswer: 48*f - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from nhwnngwhhgnwwhw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 525*z - 160 = 541*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 167295 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.32028 * -4.\nAnswer: -5.28112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 11*w**2 - 10*w + 22. Let l be r(-12). Let c be (l + (-55)\/(-20))\/(1\/4). Solve -k - 10 = -c*k - 3*a, -a + 8 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {u: 3, d: 4, c: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ajjc when four letters picked without replacement from {r: 1, j: 2, c: 2, a: 2, v: 1, z: 4}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -389, -777, -1163, -1547, -1929?\nAnswer: -2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -109 - -105 - (1 + 14 + -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 0. Suppose 0 = -4*w - 4*l + 96, 3*l = -2*w - a + 48. Calculate the highest common factor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41 - 10. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28074254 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -135, -295, -491, -717, -967, -1235?\n\"Answer: x**3 - 24*x**2 - 95*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2986 divide 121016608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.6 + 3.6. Let d = -87 + 83. What is the second biggest value in n, d, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1173119 by -2567.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**14*z\/(z*z**4*z))\/(z**(1\/2)*z**(-1\/9)) assuming z is positive.\nAnswer: z**(173\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5916200, 11832408, 17748616, 23664824?\nAnswer: 29581032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 293*z + 95*z - 51*z.\nAnswer: 337*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of w**5 + 118 - 118 + 5*w**2 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19534387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yl when two letters picked without replacement from zzszsjslssysszzsy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4*x = -233075, 100*x - 20 = 96*x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1)*c)**(-40))**22 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2706 divided by -451\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 155064 divided by 38766.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1503226303.\nAnswer: 109, 229, 60223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (136\/1870*11)\/(4 + 158\/(-40)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 11*u - 3. Let x be j(5). Let m = x - 47. Let o(k) = -k**3 + 3*k**2 + 6*k + 5. Calculate o(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5\/847?\nAnswer: -5\/847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-16))\/((-16)\/64)*(-6)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2\/7 - 5574*v\/7.\nAnswer: -3*v*(v + 1858)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in 4, -2\/13, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*v**4 + 116565*v**3 - 1486082*v**2 + 1.\nAnswer: -48*v + 699390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -51*y + 53*y - 8. Solve 4*k - 9 = 2*c + 5, 4*k = y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5\/2)\/g*g**(-8\/7))**39 assuming g is positive.\nAnswer: g**(-2535\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-21)\/(-49))\/((-15)\/(-5285)). Solve -7*i = 186 - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46129020 to the power of 1\/2, to the nearest integer?\nAnswer: 6792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4073, -4349, -4671, -5045, -5477, -5973?\n\"Answer: -h**3 - 17*h**2 - 218*h - 3837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 493, -36, 5, 0.\nAnswer: -36, 0, 2, 3, 5, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - 48a?\nAnswer: -48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**3 - 9*f**2 + 8*f - 8. What is x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 5*x - 48 = 0, 3*x + 11 = b + 4*x. Let u be b + (-1 - -2) + -4. Calculate the greatest common divisor of u and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231931.\nAnswer: 7, 17, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4773283km to nanometers.\nAnswer: 477328300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1100010 (base 2) to base 8\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2348 + 2*w - 2243 + 4770.\nAnswer: 2*w + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 266056?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700)*-3 + -2)**2.\nAnswer: 120*sqrt(7) + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + 10. Let y = -20 + z. Which is smaller: 10 or y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 1d4ccdc9?\nAnswer: -1d4ccdd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (617 + 20*f**4 - 617)*(2*f + 4 + 1 - 6).\nAnswer: 40*f**5 - 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(3\/(-288)) - (-2 + 3). Suppose -n = -w - 5*u, 465 = 4*w + 2*u + u. Suppose 0 = -p + 15 + w. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.6 - -12.6. Let d = 12 - k. Which is the smallest value?  (a) -1\/2  (b) 0.1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 4710*z**2 + 495*z - 3536. Is j(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*k = 4*t + 257 - 301, -2*t = -2*k - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of -557*b**7\/210 - b**6\/60 + 89*b**5\/10 - 2*b**2 - 41*b. Find the third derivative of o(g) wrt g.\nAnswer: -13368*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2286412466 to three dps.\nAnswer: 0.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.9 - -14. Let k = m + 4.9. Let r = 7 - k. Which is the third biggest value?  (a) 1\/7  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1073 and 138011?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 23 = 37. Let f = -3 + -2. Let c be (-6)\/j*f\/1. Sort c, 3\/4, -0.1 in decreasing order.\nAnswer: c, 3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/17 - 908*w**2\/17 - 910*w\/17.\nAnswer: 2*w*(w - 455)*(w + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*i + 77 = 0, i = 4*n + 2*i + 335. Let p = n - -151. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -353541.2 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 145354 + -67719. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3122 - -3143. Solve i*v + 21*v = 38*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(1\/2)*x*x*x**(4\/3)*x*x\/(x*x\/(x\/(x\/x**3))*x)*x*x**(-4)*x)\/((x**0)**(-5))**6 assuming x is positive.\nAnswer: x**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/80 and 81\/54200.\nAnswer: 108400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - m + 61, m = 4*m - 15. Let f be (-18)\/g - 6\/21. Let i = f + -1. Sort i, 3, 4.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66*2687576.\nAnswer: -177380016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**5\/20 + x**4\/6 + 2*x**3\/3 - 3*x**2 - 6*x. Let c(t) be the first derivative of o(t). Does 15 divide c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 537?\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -204 + 142. Let n = w - -46. Let m = n - -14. Let h(d) = -2*d - 3. Determine h(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/2)\/((-27)\/18). Sort 1\/2, -1\/2, w, -4.\nAnswer: -4, -1\/2, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -77.326473 to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1181, 1183, 1185, 1187?\n\"Answer: 2*p + 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000637878 to 7 dps.\nAnswer: -0.0000638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -11. Suppose -n = b*n - 268. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 20 = 0, 0*g - 5*g = 5*l - 240. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*p + 60 = 0. Let g(w) be the third derivative of 85*w**4\/24 - w**3\/6 - w**2. Let r be g(1). What is the highest common divisor of r and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (0*3\/9*3)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-2)*18 - 1. Suppose -r + 0*r + c + 48 = 0, 0 = 3*r - 4*c - 141. Calculate the greatest common divisor of r and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3050632?\nAnswer: 2, 13, 29333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.3 - -1.3. Let l = 6.12 - 0.12. Let q = l + p. Which is the nearest to q?  (a) -0.4  (b) 1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37138550 + -0.0474?\nAnswer: 37138549.9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -9, -5, -231 in descending order.\nAnswer: 23, -5, -9, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 1:12 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1121203221 - -11?\nAnswer: 1121203232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/99 and -92\/138765?\nAnswer: 416295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 53, 106, 161, 218, 277, 338?\n\"Answer: i**2 + 50*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*x**4 + 0*x**2 + 5*x**2 - 2*x**4 wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80594064?\nAnswer: 2, 3, 359, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -664660 (base 7) in base 8?\nAnswer: -344334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p - 12. Let w be f(10). Let j = 12 + -16. Sort w, 3, j in ascending order.\nAnswer: j, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {v: 2, g: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 8868838*x**2. Let p(u) = 21*u. What is p(q(z))?\nAnswer: 186245598*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ymg when three letters picked without replacement from tlrmmlgy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-24)\/u)\/u)\/u)\/u**(-19)*u**(-3)*u**(-26)*u*u assuming u is positive.\nAnswer: u**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 + 0 = -5*q. Suppose 181 = q*s - 29. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 564982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + -8 + 2 + 11. Suppose 7*v - z = 6*v. Calculate the lowest common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 545 = 875. Suppose -6*w - p = 1750. What is the smallest common multiple of 1 and w\/(-50) - 4\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, a: 2, j: 1, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70063773.\nAnswer: 3, 13, 19, 23, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -44997448, -89994899, -134992350, -179989801, -224987252, -269984703?\n\"Answer: -44997451*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*s**2 - s**2 + 0*s**2 + (18*s - 72 + 72)*(-1 + 2*s + 1))*(-62 - 15 - 19) in the form p + x*s**2 + a*s and give x.\nAnswer: -3072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/1615, -3, -2\/3, -0.9 in increasing order.\nAnswer: -3, -0.9, -2\/3, -2\/1615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (70305\/(-516))\/(30\/(-24))\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-13) - (-128)\/13. Solve l = 2*u + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c. Suppose 0 = 3*z - 3*g, 3*z - 39 = -5*g + 1. Let p be j(z). Suppose 4*v + 53 = p*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17822 divided by -65.\nAnswer: -17822\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 133.55 less than -0.37?\nAnswer: -133.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 16*z - 20. Let x be y(2). Let b(n) = -x*n**2 + 7*n**2 + 7*n**2. Let p(h) = 3*h**2 - 3. What is b(p(m))?\nAnswer: 18*m**4 - 36*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 6*w**2 - w - 2. Let x be c(-6). Calculate the highest common factor of 10 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 2*h - 100, 0*q = 4*h + 2*q - 190. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 20 = 4*u, -6*b = -u - 8*b - 2. Solve g - 3 + u = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 7, 0 in decreasing order.\nAnswer: 7, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -271894, -271896, -271888, -271864, -271818, -271744?\n\"Answer: t**3 - t**2 - 6*t - 271888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, t: 4, z: 3}. Give prob of picking 1 t, 1 f, and 1 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-1\/2))**(-4\/9)*(j**(-2\/11)*j*j)**(-30) assuming j is positive.\nAnswer: j**(-5422\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 6) + 7 + -10 + -54 - (7 - 5).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 + 7. Let z be y(6). Let t = 49 + z. What is the remainder when 51 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*(0 + sqrt(3))*-4)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -o + 5. Suppose 5*m + 4*b - 10 + 50 = 0, -2*m = o*b + 4. Let g = 74 - m. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 70*c - 73*c + 46310 = 0, 4*y - 37048 = 3*c. List the prime factors of y.\nAnswer: 2, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 8*f**2 - 21*f + 10. Let t be j(-10). Solve 0 = 273*g - 268*g + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1605 and 8805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -761*o**8\/168 + 255*o**4\/8 + 150*o**2 + 3. What is the second derivative of j(u) wrt u?\nAnswer: -30440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3628 + -1773. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2. Let v(c) = 15*c**2 + 25*c - 50*c**2 + 17*c**2 + 20*c**2. Give b(v(d)).\nAnswer: -4*d**4 - 100*d**3 - 625*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -12. Suppose 3 + s = 3*g. Let c = g + 3. Calculate the greatest common factor of 16 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/27010 and -97\/35150.\nAnswer: 2565950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -6*u. Let k(h) = -h + 1. Let s be (-6)\/(-1) - 12 - -7. Let p be -1 + (2\/2 - 1). Let o(v) = p*m(v) + s*k(v). Differentiate o(r) wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23292*q**2 + 5*q + 45*q + 23291*q**2.\nAnswer: -q**2 + 50*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.6 - -0.4. Let o(a) = a**3 + 8*a**2 - 6*a - 12. Let q be o(-8). Let w be ((-3)\/q)\/((-2)\/3)*6. Put w, f, -2 in ascending order.\nAnswer: -2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.5 + 20539?\nAnswer: 20544.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0 - 8) + 7 - -5) + -7 - 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 99007 and 98938 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 25097 = d, r + 167*d - 169*d = 5026. Calculate the remainder when r is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -524 - -621. Differentiate -21 + 69*k**3 - g - 64 - 31 + 45*k**3 wrt k.\nAnswer: 342*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12.9 and 2352?\nAnswer: -30340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*n - 0*n. Let s = n - -3. Let f = -3055 - -3054. What is the closest to 0.1 in s, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25\/(-15) - 0)*(-21)\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 66 = -3*s, -2*j + 28 = 3*s - 6. Let o = -33 + 58. What is the greatest common factor of j and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51013 divided by 75.\nAnswer: 51013\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2812 - 19680\/7. Which is the nearest to -5\/9?  (a) -0.1  (b) -4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/5, 5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**2 + 5476*r + 5478 = 0. What is r?\nAnswer: -1, 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-80)\/(-36) + 4\/(-18). Suppose 3*c - 13 = -2*u, r = 2*u - 2. Is 2 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -1 - (0 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 8 = 0, 4*r + 0*f + 10 = 5*f. Is ((-666)\/(-12))\/((-6)\/(-20)) - r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gbgnggmmmgqgggbbmgb. What is prob of sequence nm?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus -1.005?\nAnswer: 3.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4576 and 1287?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/33 + (-1)\/(-3). Let t = -1\/22 - z. Let b be (0 - 0)\/(0 + 1). Is t at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-5)\/h*h)**(-40\/3)\/(h*h**(-2))**(-2\/31) assuming h is positive.\nAnswer: h**(6194\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**4\/2 + 169*l**3\/2 - 2823*l**2\/2 + 16051*l\/2 - 14798 = 0. What is l?\nAnswer: 4, 7, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -297a (base 11) to base 5.\nAnswer: -110323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 39*i**2 - 7*i**2 - 6 - 3 - i - 12. What are the prime factors of j(-7)?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -7*r + 8*r - 100, -u + r - 52 = 0. Let x be (42560\/u)\/((-1)\/9000). Round x to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*q - 1942 - 542 = 2556 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -z**5\/10 - 11*z**4\/8 + 55*z**3\/6 - 73*z**2\/4 + 15*z + 715. Suppose q(f) = 0. What is f?\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.512248mg to kilograms.\nAnswer: 0.000006512248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 3*j = -22, 2*r + 5*j + 3 + 12 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3638, 7442, 11246, 15050?\nAnswer: 18854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 1 + sqrt(22)\/sqrt(2)*6 + sqrt(33)\/sqrt(12) + 3)**2.\nAnswer: 39*sqrt(11) + 1895\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -7. Suppose -2*t = 2*t - w. Is t > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10 - 1)*(-6)\/(-18). Factor -4*d + 4*d**4 + 52*d**2 - 3 + 52*d - 1 + 20 + 24*d**t.\nAnswer: 4*(d + 1)**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3626*h**2 - 3001 with respect to h.\nAnswer: 7252*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**3 - 72*x**2 - 177*x + 252 = 0. Calculate x.\nAnswer: -21, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.5, 2\/33, -1, 6.\nAnswer: -1, 2\/33, 2.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/19)\/t)\/t**(2\/5)*(t**(-2\/7))**(2\/33)*((t**(1\/4))**0)**26 assuming t is positive.\nAnswer: t**(-28793\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*i = 9 + 93 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (24\/18)\/((-8)\/428)*(-45)\/120*-4\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(176)*2*2 + 2)**2.\nAnswer: -96*sqrt(11) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11809283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + -16.00767415?\nAnswer: 24.99232585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8709*h**5 + 127*h**3 + 30447510*h wrt h?\nAnswer: -174180*h**3 + 762*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 140, 130, 120, 110, 100, 90?\n\"Answer: -10*r + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -fab4d (base 16) in base 7?\nAnswer: -11504600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ldlenqd. Give prob of sequence dql.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -37*q + 161. What are the prime factors of n(-13)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*r**3*w**2 + 7985*r**3*w - 4*r**3 - r**2*w**2 - 95*r**2*w - 2*r*w - 138*w**2 wrt r.\nAnswer: -24*w**2 + 47910*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4.5 * 0.3\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.023 + 4.977. Let v = p + -7. Which is smaller: -1\/35 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*u + 17*u + 11*u + 17*u.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35538347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/21 + 193\/(-7). Let c = m + 43. Suppose -c = a - 5*a. Solve a = -3*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express -124 + 124 - 46*t as h*t + q and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -240*o - 3807. Let b be i(-16). What is the greatest common factor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -16537340, -16537339, -16537338?\n\"Answer: u - 16537341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -29) + -9 + 0 + (-5 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -171*x. Let h be j(-1). Let b(p) = -12*p**3 + 2*p**2 - 5*p + 1. Let m be b(2). Let f = m + h. Is 37 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1485, -7348, -23255, -54228, -105289, -181460, -287763, -429220?\n\"Answer: -837*b**3 - 4*b - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (8 - 24) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 37*x**2 + 216*x + 50. Determine u(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 52*m**2 + 2496*m + 115. What is the remainder when c(-56) is divided by 223?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 12716, -1, -21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/20 and -109\/22330.\nAnswer: 44660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*a = -1, d + 0*a + a = 9. Suppose 0 = -d*c - 4*w + 14, -3 = -5*w - 23. Solve -4*z - k + 7 = 0, c*z - 5 = 3*z - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-6) - 592\/(-6). Suppose -3*r + 9 = 0, 3*r = d + 3*d - g. Let x be ((-45)\/d)\/(2\/(-152400)). What is x rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24574152767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2958504, -2958494, -2958498, -2958522, -2958572, -2958654, -2958774, -2958938?\n\"Answer: -i**3 - i**2 + 20*i - 2958522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-2)*(-1294 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 110 = 154. Let w be (-11 - -14)*(-2)\/(-9)*3. Suppose w*c + 4*c = -c. Sort h, -2, c in descending order.\nAnswer: h, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2528.644418 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6173*y**4 - 8336 wrt y?\nAnswer: -24692*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*s + 3*l, 3*s + 7*l - 32 = 3*l. Solve -m - 4*c + s = -0*m, 4 = -4*m + 4*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + 0)\/(9\/18). Suppose -131 - 225 = -d*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnssbsjsnj. Give prob of sequence sbn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((10\/84)\/5)\/((-24)\/(-84))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -5*t + 35, -5*m + 12 + 3 = t. Suppose 3*b + 26 = t*b. What is the remainder when ((-74)\/(-4))\/(8\/16) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 766863.3 months?\nAnswer: 639.05275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 185806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*a - 4 = 0, -a - 6 = -u. Suppose -119*v - 7*v + 756 = 0. What is the smallest common multiple of u and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 2*w. Let n(k) = 36772*k**2. What is r(n(d))?\nAnswer: 1352179984*d**4 + 73544*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -823 + -110?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/43 or 4?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 290 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 + 1 + 151 + -102?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2312301 + 21?\nAnswer: -2312220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 19598918869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, i: 7}. What is prob of sequence ii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 623+-72.76\nAnswer: 550.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 3983.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20 + 8)*(10\/6 - 2). Suppose -5*d + 2*l = -28, -m = 4*d - 0*l + 5*l. Find the third derivative of 12*u**2 - 153*u**d + 22*u**2 + 116*u**4 wrt u.\nAnswer: -888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1201\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/620 and -13\/3968?\nAnswer: 19840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-22) - 4\/22. Suppose 0 = 4*h + 5*a - 19 - 28, -5*h - 2*a + 63 = s. Calculate the remainder when 38 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2002696 to the power of 1\/2, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4096, 8308, 12508, 16690, 20848, 24976, 29068, 33118?\n\"Answer: -q**3 + 4219*q - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 6*z = -4*o + 4, 4 = 3*o + 2*z. Suppose 3*t + 5*a + 9 = 0, -o*a = 2*a + 12. Let s(c) = -c**2 + 5*c - 1. Let q be s(t). Solve q*r - 5 = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1273, 1486, 1699, 1912?\n\"Answer: 213*i + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000018369 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of -3*o**2 - 5\/12*o**4 + 0 + 0*o + 1\/6*o**3 - 1\/6*o**5 - 1\/120*o**6. What are the prime factors of k(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 at most as big as 80048\/12009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 110419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 11:00 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 8*g**3 - g**2 + g. Give m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*p + 31*p - 4 = -4*g, 2*p - 6 = -g. Solve 2*r + 3*l + 6 = 0, p*l = 5*l - 2 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -18758, -37487, -56204, -74903, -93578?\n\"Answer: v**3 - 18736*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121750*d**2 - 121753*d**2 + 243501*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.2 + 2. Let x = 4.02 + -0.02. Let l = -12 - -11.6. Sort i, l, x in descending order.\nAnswer: x, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -240, -289, -362, -453, -556, -665, -774?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 29007 less than 0.2?\nAnswer: -29006.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**2 + 339320*k + 14392257800 = 0.\nAnswer: -84830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 4 - 4)*(-1 + 2 - 3 + (3 - 2 - 4)*(4 - 2 - 4))*(i + i**2 - i)*(-114338 + 525*i + 114338).\nAnswer: -4200*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -834*z - 85024. Calculate o(-102).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*s - 2*s + 7*s + 65 + 40 - 14*s.\nAnswer: -2*s + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3520 + 3517 + 4*x**3 - 10565 + 3528.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 343 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 2*r = -t - 278, -5*t + 5*r = -285. Let n be 1\/1*(8 - 1). Calculate the highest common factor of t and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9209 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 11:44 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m - 9. Suppose 2*o - o = 4. Calculate the smallest common multiple of w(-15) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.63261t in nanograms?\nAnswer: 86632610000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19650 is divided by 266?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 7*j + 71 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 1:18 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 298?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m + 9. Let d be x(-5). Suppose d = -4*k + 2*k, -4*z + 2*k = -1612. Let j = z + -275. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -352964 + 11\nAnswer: -352953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 128*h**2 - 244*h - 3. Determine f(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -4) + 1 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.5 and -28.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 122\/24 - 1\/4. Let s = 16\/3 - q. Let z(w) = 3*w**3 - 4*w**2 - 5. Let l be z(2). Sort 0.1, s, l.\nAnswer: 0.1, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 890703745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.6 - -3. Let h = n - 0.2. Let m = h - 0.72. Round m to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 341.885 litres?\nAnswer: 341885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 298440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 8:18 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 172957163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -548549, -1097115, -1645685, -2194259?\nAnswer: -2742837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50933*d**3*i**2 - 1247*d**3*x + 8*d**2*i - 4*d**2*x - d + 431*i**2*x + 2*i*x + 27*i wrt i?\nAnswer: -101866*d**3 + 862*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 25838, 110727, 252202, 450257, 704886?\n\"Answer: -v**3 + 28299*v**2 - v - 2459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (6 + 1 - (-7 + 12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15543076457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 less than 171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 7557.31 centuries?\nAnswer: 755.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 807 or 808?\nAnswer: 808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 817 is divided by 85?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.618 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*g + 74*g + 56*g)*(2*g + 852 - 852)*(-2*g + 0*g + 4*g) to d*g**2 + w + p*g**3 + f*g and give p.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - k + 4)*(5304 + 7257 + 6155 + 10847).\nAnswer: -29563*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 - 2*m + 6. Let q(j) = j**2. Let o(g) = -4*q(g) + s(g). Let a be o(4). Which is greater: -10\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**2 - 3*x. Let t(g) = -g + 1. Suppose 0 = -3*b - 5*o + 25 - 8, 3*o - 12 = 0. Calculate b*f(d) + 3*t(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 620*v**2 + 588*v**2 + 618*v**2 - 1786*v**2 as n*v + p + o*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/(-2408))\/((-33)\/154).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 16 = -2*l, -17 = 20*l - 24*l + w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.04538 and 11944603.\nAnswer: 11944602.95462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 933899 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*b**3 + b**3 + 9 + 44*b**2 + b**3 - 39*b**2 - 8 to c*b**2 + u*b + l + g*b**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2054430590?\nAnswer: 2, 5, 61, 3367919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 1 + 2 - 5*p to the form h*p + s and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 6*j + 5. Let v be (15\/(-2) - (29 + -36))*-12. Give c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2. Let p(z) = -83*z - 9. What is p(o(m))?\nAnswer: -166*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.729411 months to millennia.\nAnswer: 0.00081078425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 0*o**2 + 7 - 5\/18*o**4 + 0*o - 8\/45*o**5 - 2\/27*o**3. Solve d(t) = 0 for t.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1045135\/39 + (-24)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152 a factor of (-692654)\/(-41) - (-9 + 16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 21022221?\nAnswer: -21022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 243881?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -29, -2645, 2, -44 in increasing order.\nAnswer: -2645, -44, -29, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 44.178724 and 0.715?\nAnswer: 43.463724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {k: 1, i: 1, u: 1, p: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28219, 56617, 85015, 113413, 141811?\nAnswer: 170209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - 1)\/(2\/(-4)). Find the second derivative of -48*b + 9*b**4 - 2*b**5 - 6*b**c + 8*b**5 - b**5 wrt b.\nAnswer: 100*b**3 + 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 10) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.04 - -0.04. Let h = -8 - u. Let k = 4 - 3. What is the closest to -0.1 in k, 4, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + c + 1. Let o be s(0). Let q(d) = 14*d**2 - 1. What is the units digit of q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and 351.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 5, -177, 13.6, 1, -1.5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(-2030)*29)\/(1\/(-50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (-15 + -6) - 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**2 - 4*t**2 + 3*t**2 - t**2 + 5*t**2 + 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**5\/20 - m**4\/6 + 2*m**2. Give u(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/1770 and 82\/885.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79292.\nAnswer: 2, 43, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 9*k**4 + 3*k**3 + 4*k**2 + 5*k. Let h(l) = -8*l**4 - 4*l**3 - 4*l**2 - 4*l. Let r be (-1)\/((-1)\/6) + -2. Let s(f) = r*t(f) + 5*h(f). Factor s(x).\nAnswer: -4*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0  (b) -3  (c) 4  (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30*u**2 - 2*u*z + 4*z - 11 with respect to u.\nAnswer: -60*u - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 4*d**4\/3 + 128*d**3\/3 + 436*d**2 + 3760*d\/3 - 5200\/3 = 0.\nAnswer: -13, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62557.8 micrometers to centimeters.\nAnswer: 6.25578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 357?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -5*z + 40, 4*z + 60901 = -0*z + 30452 + 30453 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*n - 168 = 90 - 116 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9145 - 9145 - 123*g)*(3 - 2 + 12)*(1 - 1 - 2 + (1 - 3 + 3)*(4 + 4 - 6) + 2 + 0 - 3 + 1 + 2 - 1).\nAnswer: -1599*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -193, -195, -197?\n\"Answer: -2*y - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 467880451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1848 - 6*m - 961 - 608.\nAnswer: -6*m + 279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i - 36 + 96 = 0. Suppose 0 = i*w + 3*f - 26, 0*w = -5*w + 5*f + 50. What is the remainder when (-2 + 2 + -11)*-1 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 66899.62 decades?\nAnswer: 8027954.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24772)\/1689)\/(6\/(-9)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45 + 45. Suppose 4*i - 3*b = 8, -5*i - 5*b + 3 + 7 = j. What is the second derivative of -11*r - 2*r**2 - 12*r**i - 6*r**2 wrt r?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 16) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 20162*w - 44 + 44 - 5102*w in the form x*w + k and give x.\nAnswer: 15060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (-318788)\/4*-33. What is w rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 31*r + 191. Let q be h(-6). Solve 66 = q*s + 46 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -92.\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-7)*(-9 + 2). Solve w*j - 1 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 2669.45 kilograms?\nAnswer: 2669450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -9*b**4\/4 - 11423*b**3\/4 + 72414*b**2 + 353967*b + 75052 = 0.\nAnswer: -1294, -4, -2\/9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -177.1 - -4155388.\nAnswer: 4155210.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rt when two letters picked without replacement from hittriihtriqrt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 433*x**2 + 7449*x**2 + 2961*x**2 + 4465*x**2 + 5102*x**2.\nAnswer: 20410*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 4*n - 437. Suppose -b - 3*b + n = -k, 0 = 2*b - k - 66. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34290 and 254685.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*d + 16*d + 3*b + 431, 0 = 5*b - 15. Calculate the remainder when d is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 + 11078*z + 5538.\nAnswer: 2*(z + 2769)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7504.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1079500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4110611 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 5*v - 43147, 2*j + 11781 = 4*v - 22731. List the prime factors of v.\nAnswer: 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 7, l: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {c: 1, u: 1, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 24015 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 13\/659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -9*w**3 + 2*w + 17*w**3 - 1 - 7*w**3. Suppose -28 - 908 = -9*o. Let s = o - 99. Let r(x) = 2*x**3 + 4*x - 1. Calculate s*b(c) - 3*r(c).\nAnswer: -c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of 979*v**4\/3 + v**3\/3 + 5435*v**2\/2 - 11370*v. What is the first derivative of q(r) wrt r?\nAnswer: 7832*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6\/3587  (b) -108  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -8. Let h = d - -5. What is the third biggest value in 0, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4760483 is divided by 327.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -68 - -107. Calculate the remainder when s is divided by (5 + -5 + 1)\/(11\/77).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -57.7 + 58.1. What is the third biggest value in -0.5, w, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.92 times 33116?\nAnswer: 63582.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - (-2)\/4)*10. Put 1\/7, -0.1, n in increasing order.\nAnswer: -0.1, 1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 6:48 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is nine sixteenths of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 3.26.\nAnswer: 1.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(19))*3)**2 - (4 + sqrt(19) + -4)) + 4.\nAnswer: 17*sqrt(19) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/9))**(-3\/19) assuming p is positive.\nAnswer: p**(2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -5*z**3 + 69*z**2 - 18*z + 450. Calculate s(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 7*l - 3. Let d be v(7). Is (-3)\/d + (-5)\/(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*m = -50*m + 7. Sort m, -2, 43, 0 in decreasing order.\nAnswer: 43, m, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**2 - 2498*k - 24771. Give h(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7522 by 7.\nAnswer: 7522\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 615628 is divided by 38474.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4246580?\nAnswer: 2, 5, 13, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 8*-1.655\nAnswer: -13.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -74.498 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q + 2*q - 4*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-58)\/(-87))\/(4*2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a + 1. Let v(r) be the first derivative of -r**4\/4 - 3*r**3 + 5*r**2 + 11*r + 23. Let t(y) = 2*d(y) + v(y). Is 11 a factor of t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -964*o + y = -962*o + 23, o + 34 = 2*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*c**2 + 8*c - 10*c + 2*c**2 + c**2.\nAnswer: -15*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 637*c. Let l(o) = -54463*o. What is -5*l(b) - 428*p(b)?\nAnswer: -321*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15506620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(26)\/(sqrt(10)\/sqrt(5)) + -2)**2.\nAnswer: -12*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87*m**2*t**2 + 27*m**2*t + 694*m**2 + 3*m*t**2 - 2983394*t**2 wrt m?\nAnswer: 174*t**2 + 54*t + 1388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -22. Let z = 77 + c. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -132338829*q**5 - 126846623*q.\nAnswer: -2646776580*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5036, -5150, -5332, -5582, -5900, -6286?\n\"Answer: -34*p**2 - 12*p - 4990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 9:45 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -26*w. Let g(m) = -12*m. Calculate f(g(v)).\nAnswer: 312*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -729, -5996, -20303, -48174, -94133, -162704, -258411?\n\"Answer: -754*o**3 + 4*o**2 - o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -315*x**2 + 620*x**2 - 307*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**5 - 4580*k**4\/3 + 881608*k**3\/3 - 964688*k**2 + 1143040*k\/3 + 2310400\/3 = 0.\nAnswer: -2\/3, 2, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-15)\/(-6) - (3231\/(-6))\/3 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227480, -227946, -228408, -228866, -229320, -229770?\nAnswer: -230216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*a + 10 + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**12\/v**(1\/9)*(v**(3\/5))**28 assuming v is positive.\nAnswer: v**(1291\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41219 + -41217. Let p be 2\/(-4) - 9\/(-2). Sort -7, p, a.\nAnswer: -7, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 57 = -v + 210, -3*v = -x + 165. Calculate the highest common divisor of 84 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*j**4 - 32*j**4 - 27*j**4)*(1 + 2 - 5) + j**4 + 2*j**4 - 7*j**4.\nAnswer: 30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -7066 <= -6156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 320882*p**2 - 2*p. Let f(x) = 11*x**2. What is v(f(i))?\nAnswer: 38826722*i**4 - 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 p, 1 v, and 1 m when four letters picked without replacement from {p: 1, i: 4, v: 5, m: 4, u: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -237 greater than -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 0 + (-22 + 28 - (10 - 1 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3872952569 to the nearest integer?\nAnswer: 62233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 43*w + 1. Let q(j) = 342. Let p(c) = -79. Let h(r) = -13*p(r) - 3*q(r). Determine 2*h(u) - m(u).\nAnswer: -43*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 10 - 13 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 60289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4292995390.\nAnswer: 2, 5, 429299539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**3 + 1. Let t be n(-1). Let y = -7 - -10. Let m = -0.27 - -0.07. Which is the third smallest value?  (a) m  (b) t  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**3 + 85*c**2 + 129*c + 136. Let a be f(44). Let n(z) = z + 1. Let o(i) = -i - 2. Give a*o(x) + 3*n(x).\nAnswer: -x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12214559, -12214558, -12214557, -12214556, -12214555?\nAnswer: -12214554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 3816 + -3813 + (1 - (0 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 0 - 12. Let p(a) = a. Let h(k) = k**3 + 1194*k**2 + 1186*k**2 + 2 - 2379*k**2 - 6*k. Determine u*p(z) + h(z).\nAnswer: z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)\/(sqrt(576)*-1).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -4*j**3 + 3*j**2 + 3*j - 3. Suppose -7*h + 8*h - 3*z - 11 = 0, -20 = 4*z. Let c(m) = -5*m**3 + 4*m**2 + 4*m - 4. Give h*n(b) + 3*c(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) 2\/3  (c) -12  (d) -2\/3  (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 12:49 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*w - 2*z = -88, -4*z + 58638 = -2*w + 58662 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 8918, -3\/5, 2, -1 in ascending order.\nAnswer: -1, -3\/5, 2, 8918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1176))\/(sqrt(48)\/(sqrt(24)\/sqrt(4))).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5*j = -3*p - 20302, -j - p + 5079 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**5 - 480*c**4 + 18351*c**3 - 123294*c**2 - 180780*c + 286200 = 0. Calculate c.\nAnswer: -2, 1, 10, 45, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14.6184751 + 51.6184595. Let s = 37 - l. What is s rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 3130 - 1451 = 0. Suppose w = 5*a - 2*z, -2*a - 2*a = 4*z - 396. Is 40 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 3 + 2*l**2 - 8*l - 5*l**2 - 15*l + 24*l to z + g*l + j*l**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 + 13*k + 14. Let g be a(6). What is the second derivative of -g*r + 54*r - 191 - 18*r**2 + 191 wrt r?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwvyw. What is prob of sequence wy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0\/(-2) - -1) + 49. Let l be r\/18 - (-4)\/18. Let x be 4 - (-3 + 15 + -5). Which is the nearest to 0.2?  (a) l  (b) x  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -23*k - 2. Let i(y) = 58*y + 3. Give -6*g(a) - 2*i(a).\nAnswer: 22*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -7  (c) 72  (d) 2\/22159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.1  (b) 2  (c) 3  (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**4\/8 + 481*r**3\/8 + 7378*r**2 + 70805*r\/2 = 0 for r.\nAnswer: -238, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/1309, 0.25, -0.2, -0.1, -0.573?\nAnswer: -0.573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -143 + 143. Suppose g = -j + 7, c = -g - 0*g - 5*j + 15. Suppose -120 = g*o - 90. Let z(k) = k**2 + 6*k + 1. Give z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-80 - (40 - 128)) + -49.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-8) + (-3)\/(-12). What is the nearest to v in -5, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119285 is divided by 7448.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 475860 divided by 2884\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -103 + 279. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12.03, 1, -39, -1, -0.3.\nAnswer: -39, -12.03, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 47*j + 468. Let k be x(-10). Let b = 0 - 0.3. What is the third smallest value in k, -1.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -ab (base 14) in base 8?\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231994 is divided by 246.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 65354627 to the power of 1\/2, to the nearest integer?\nAnswer: 8084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-330)\/(-168) - (-14)\/49)*-4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b3ccd - 4?\nAnswer: -1b3cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-6)\/((m**(-6)*m*m)\/m))\/(m\/(m\/(m*m**(2\/19))*m)*m*m\/m**(-1\/7)) assuming m is positive.\nAnswer: m**(-432\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 276625152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6\/11  (b) 21  (c) -1  (d) -7  (e) 0  (f) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 48030573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(8 + 245\/(-28)). Let g(o) be the second derivative of o - 1\/2*o**3 + 0*o**2 + 0 + 0*o**k + 3\/20*o**5. Solve g(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -4*w + 1572, -w = 12*m - 16*m - 414. What are the prime factors of w?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75*z**5\/4 - 165*z**4\/4 - 42*z**3 - 9*z**2.\nAnswer: 3*z**2*(z - 3)*(5*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*f, -3*f + 3 = 2*k - 12. Suppose 5*b = 2*b + 4*g - 17, 4*b = 5*g - 23. Let d = k + b. Let m(j) = -5*j**2. Give m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2496 divided by -12\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from odooodod. Give prob of picking 2 o.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n + 18. Calculate u(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13105 divided by -5.\nAnswer: -2621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114 = -6*v - 14*v + 34 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.69 times -2?\nAnswer: 13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 639620994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/2, 4, -20, 0 in decreasing order.\nAnswer: 4, 5\/2, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 728 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + 6*w - 5*u - 11, 2*u = -5*w - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3\/2  (b) -0.3  (c) 29  (d) 2\/23  (e) 8\/2565\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 23 = -3*n, -n = 3*u + 3*n - 108. Let i = u + -30. What is the second derivative of i*q + 2*q**3 - 10*q + 5*q**3 wrt q?\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - -1)\/((-2)\/(-1)). Suppose y*z + 6 = 2*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 4:18 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 3*d - 2*z + 1, 5*d + 25 = 2*z. Let c be 2*((-77)\/(-2))\/d. Let n = c + 17. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -110 - -171. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ootozobsb. Give prob of sequence zb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/8)*g\/(g\/((g**(-17)*g)\/g)))**(3\/46) assuming g is positive.\nAnswer: g**(-399\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 3*x**2 - 2*x + 5. Let m be u(3). Let y = 21 + m. What is the lowest common multiple of y and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 618, 1357, 3294, 7029, 13162?\nAnswer: 22293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-15))\/(4\/(-120)*-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54269 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x - 2. Let f be z(5). Suppose 0 = 4*c - 5*v - 10 - 18, f*c + v - 2 = 0. Solve -c*i = -1 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from cmkeecmkmkcemjkmemjx.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1407416?\nAnswer: 2, 23, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24161 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004338 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1310*z**4 - 6*z**2 - 29*z.\nAnswer: 31440*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44*862.\nAnswer: -37928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -3465225 to the nearest 1000.\nAnswer: -3465000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - 14) + -26 + -12?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34216 - -3?\nAnswer: -34213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y. Let x(s) = -2 + 2 + 9*s**2. Calculate c(x(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 302121333?\nAnswer: -302121330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2787, 5571, 8355, 11139?\nAnswer: 13923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -t**2\/2 - t + 1. Let y(k) = -10*k - 10. Suppose -5*b = -w + 32, -2*b = 3*w - 0*b - 62. Determine w*x(p) - 2*y(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -59977 - -2?\nAnswer: -59975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5031 = 3*f - 5*o, -5*f + 3098 + 5239 = -3*o. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 224*w - 4 - 224*w + 4 + 905*w**3.\nAnswer: 905*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 2 + 2)*(-1 + 5 - 2) + 2 + 2 - 2 - 1 - 2 + 7 - 3 + 1 + 1)*(3*o**2 + 0*o**2 - 2*o**2 + (o**2 - 2*o**2 + 3*o**2)*(-2 + 3 + 1)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2715970769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -3. Which is the second smallest value?  (a) -5  (b) -2\/3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 67584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 180 - 108. What is the smallest common multiple of 18 and f\/33 - (-4)\/(-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 636079\/4626 + -2\/2313. Let l = -142 + g. What is the closest to 0.1 in -0.5, -2, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/18, 1, -0.2, 1\/26.\nAnswer: -0.2, -1\/18, 1\/26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*sqrt(2420))**2 + -5.\nAnswer: 21775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 15 = 7*o. Let r be (4\/14)\/(o\/(-147)). Solve -4*p - r = 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -3.7. Let d = -1283 - -165. Let p = d - -1117. What is the second biggest value in l, -5, p, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 2, -3*u + 14 = 2*u + 4*n. Factor 8*w**2 + 2*w**2 + 8*w**u + 9*w + 5*w**3 - 3 - 29*w**3.\nAnswer: -3*(w - 1)*(2*w + 1)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggttgt. Give prob of sequence tgt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -23447 minus 80.2744075?\nAnswer: -23527.2744075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 324696017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 6. What is the nearest to a in -0.5, 1, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -3  (c) -4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*q + 85*q**4 + 3594*q**4 + 310 - 4*q + q**5 wrt q.\nAnswer: 20*q**3 + 44148*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z - 40504 + 21209 = 87609. What are the prime factors of z?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2092399 is divided by 1046186?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.8318 + 0.1682. Let x = -48\/407 - -38\/37. What is the second biggest value in n, x, 1\/3, -1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(75\/48)*(-35)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g - 7. Let b(f) = -5*f - 15. Let r(s) = 6*b(s) - 13*t(s). Suppose -2*q + 325 + 483 = 0. Let i = 402 - q. Calculate r(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**3 - 3*v**2 - 116*v + 283. What is h(-13)?\nAnswer: -3110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*r + 78*r + 46*r - 261*r + 68*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 670 = -11*f. Find the third derivative of f*q - 67*q + q**6 - 4*q**3 + 0*q**6 + 4*q**2 wrt q.\nAnswer: 120*q**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 426346901.\nAnswer: 426346901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, e: 4, w: 2, t: 3, u: 1}. What is prob of picking 1 t and 2 s?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-6\/5)*d)\/d**(2\/15) assuming d is positive.\nAnswer: d**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 - 264*p + 550. Let m(q) = 4*q**2 + 525*q - 1103. Let s(n) = -7*k(n) - 3*m(n). What is the first derivative of s(u) wrt u?\nAnswer: 4*u + 273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from nlwnxfwl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*z**4 - 3*z**3 + 57 with respect to z.\nAnswer: 24*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 523.7181297865 - -137177.7118672935. Let q = r - 137701.13. Let l = q + -0.3. Round l to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 661, 1324, 1987, 2650, 3313?\nAnswer: 3976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 44*v**2 + 1 - 40*v**2 - 1 + 2*v**3 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + s - s)*(0*s**2 + 2*s**2 + s**2) + 7*s**3 + 9*s**3 + 7*s**3 + (-3*s + 2*s + 3*s)*(s**2 - 4*s**2 + 2*s**2).\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from een. Give prob of sequence en.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/139 bigger than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -115 + 123. What is the tens digit of 1234\/x - (-19)\/(-76)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*g**2 + 4 - 6 + 9*g**2 in the form t*g + y*g**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + 15\/(-3) - 126. Let w = t - -141. Solve -3*n - 29 = -4*v, -5*v + w + 28 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 12*v**2. Let i(f) = -110*f + 308. Let c(k) = k - 2. Let h(r) = 154*c(r) + i(r). What is x(h(n))?\nAnswer: 23232*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14\/9*x**4 + 10\/3*x**3 + 8\/9*x + 0 + 2\/9*x**5 - 26\/9*x**2.\nAnswer: 2*x*(x - 4)*(x - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*n**2 - 3 - 104*n + 29*n + 5*n**2.\nAnswer: -15*n**2 - 75*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4867*w - 9 = z - 4865*w, -w = z + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11172 + 216*r - 6228*r + 2863 - 4957*r with respect to r.\nAnswer: -10969","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from cllallaclllca.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 81.1281 - -0.1719. Let x = 501 + -421. Let c = x - f. Put -2\/5, 5, c in descending order.\nAnswer: 5, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -2\/7  (b) 1  (c) 0.06217  (d) 6  (e) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.07 + -0.13. Is -1 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -244334 (base 6) to base 14\nAnswer: -7cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*o = 10*o + 70 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 104 and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -6. Let h be 7 + -8 + (-50299)\/i. Round h to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14\/20 - 2\/4. Suppose -s - 18 = -3*j - 5*s, s + 30 = 5*j. Let l = 5 - j. Is g less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 4*z**3 + 40*z**2 - 10*z + 2. Let x(t) = 5*t**3 + 39*t**2 - 9*t + 3. Let d(w) = -3*k(w) + 2*x(w). Find the second derivative of d(c) wrt c.\nAnswer: -12*c - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wqz when three letters picked without replacement from {u: 1, a: 2, w: 4, z: 3, q: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13932 and 486.\nAnswer: 41796","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-57)\/(-6))\/((-4)\/8). Let h = k - -20. Suppose -o - h + 3 = 0. Solve -o*w = 7 - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1163588.2839 + -1163459.283899208. Let s = a - 129. What is s rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 790\/(-35) + 23 + 120\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*b**4*z**2 + 7*b**4 + 6*b**3*z**2 + b**2*z + 2*b*z**2 - 8*z wrt b.\nAnswer: 72*b*z**2 + 168*b + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l**2 - 151071850*l - 1141135193121125 = 0 for l.\nAnswer: -15107185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 11*h - 4. Let f be a(9). Let w = 25 + f. Suppose 5*b + 2*i - 2 = 0, 3*b + 2 + 1 = w*i. Are b and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.27806 litres?\nAnswer: 278.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q + 76, 43*q = -2*s + 15*q - 1060 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 1\/44  (c) 1  (d) 345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 147115939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, h: 2, k: 2, j: 4}. Give prob of sequence jhhf.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.8 - 1.6. Let g = 0.2 - r. Let s be (4 - 8 - -3)\/((-3)\/(-6)). Which is the closest to g?  (a) s  (b) -1  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3208)\/(-59348) - 2150\/74?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 8, 80, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1212 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(30\/63)*12. Let b be 120\/n - 2\/(-3). Which is greater: 0.4 or b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*l - 16*l**2 + 0*l**2 + 16*l + 2 to the form c*l + g*l**2 + f and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xuaumwmmuwmawoxau. What is prob of sequence uamm?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.48 - -0.36. Let w = f + 2.44. Let r = 0.32 - w. Which is smaller: -12 or r?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -336 - -367. Suppose -w*p + 1746 = -28*p. What are the prime factors of p?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 10) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - t**2 + 22. Let m be h(0). Suppose -5*i + m = -3. Let q(l) = -l**2 + 7*l + 2. Let a be q(i). What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -u + 4*s, -2*s - 7 = -u + 6. Solve 0 = 8*p - 9*p + 8*z + 15, 0 = u*p - z + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 10*v - 1448. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1224 - -0.5224. Let i = -79\/385 - -4\/35. Which is the smallest value?  (a) i  (b) v  (c) 5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1.4, -0.01, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 78 - -63. Let f = -140.9 + y. Which is the nearest to f?  (a) 2\/9  (b) -1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*(0 + 4\/(-6)). Let r(d) = 2 - 4 + 2 - w*d. Let n(p) = 4*p**2. Determine n(r(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 89*p**2 + 183*p - 86. Determine w(91).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q. Let d = 10 + -5. Let j(i) = -5*i + d*i - 68*i**2 + 39*i**2. Determine j(o(b)).\nAnswer: -116*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2112 divided by 6.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -10*o + 37. Let z be w(-5). Let v = -63 + z. What is the hundreds digit of 1\/2 - (-2484)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (22 + -64 + (16 - -4)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 PM and 12:48 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -91 + 89. What is the closest to 1 in 0.2, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -44*h + 2501 - 1357 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaagkaggkaagag. Give prob of sequence akg.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -78953*n + 78912*n + 574 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0526 + -278.9474. Let g = 278.5 + h. Which is the second smallest value?  (a) -5  (b) g  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -86*a + 84*a + 36. Let v = 82 - a. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27.2 - -28.2. Which is the closest to -1?  (a) 3  (b) 1\/3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -27 + (1855 - 1944)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 9:20 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -789*k**2 + 179*k**2 - 839*k**2.\nAnswer: -1449*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(906\/(-32)*(-9)\/((-2079)\/308))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15214, -30429, -45644?\n\"Answer: -15215*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**2 + 0*c**2 + c**2 + (-2*c + 2*c + 2*c)*(1 + c - 1) + c + 2*c**2 - c + 2 - 2 + 4*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00016869364 to six decimal places.\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2293068.\nAnswer: 2, 3, 191089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1923 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.0526  (b) 1\/116  (c) 1\/3  (d) 22  (e) 1  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8502.\nAnswer: 2, 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11616\/(-8019)*-18 + -26.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from {x: 3, i: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/5579 and -89\/111375968.\nAnswer: 779631776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + sqrt(19) + 1).\nAnswer: -2*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -0*g - 2*g - 6, 5*a - 25 = 3*g. Let v = 24 + -3. Let x be (-12)\/v*1\/(-2). What is the closest to x in 3\/2, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 29*c = -28*c + 7, 5 = f - 3*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25420 and 27852940?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*n + 24*o + 87, -231*n - 4*o = -227*n + 28 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 1\/5, -133.96 in decreasing order.\nAnswer: 1\/5, -0.5, -133.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 22 = -2*l + 7, 5*l + 5*z - 35 = 0. Solve 5*j + 7*k - 2*k = -l, 0 = -k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.2948 to two dps.\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -108045 divided by -5\nAnswer: 21609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.06240697 and 1116244?\nAnswer: 1116243.93759303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -1, -0.00133, -8, -2 in decreasing order.\nAnswer: 1\/2, -0.00133, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 6 = -4*m. Let i be 7\/2*(-4)\/(8 + -10). Solve 3*n - 4*h + h + m = 0, 5*h + i = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96\/(-3)*(-1 - (-3702)\/(-8)).\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/(v\/v**(2\/3)*v))**24*v\/(v*v**(2\/27))*v*v**15)**(-28\/9) assuming v is positive.\nAnswer: v**(-24136\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2317*r - 1038*r + 2370*r + 222589 for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 21, 8, 2 in descending order.\nAnswer: 21, 8, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/1*39\/78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -84516490*c + 72701140.\nAnswer: -84516490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1357, 1630, 2311, 3586, 5641?\n\"Answer: 31*t**3 + 18*t**2 + 2*t + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**3 - 15*t**2 - 3*t + 9. Let z(f) = -3*f**3 + 22*f**2 + 4*f - 14. Let b(p) = -8*d(p) - 5*z(p). What is the hundreds digit of b(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -432*c**3 - 5*c**2 - 3*c + 2. Let y be o(-3). Let v = y + -6551. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -4*w + 1768, 102 + 780 = 2*w - 2*o. Let a be 1\/(-11) + w\/55. Suppose -42 = -a*y + 102. Solve -2*r + 0*r - y = -4*t, -2*r - 5*t = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101001011000100000 (base 2) in base 11?\nAnswer: 5a3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 78156 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3272.7 - 3271.81755. Let d = -0.41308 + s. Let l = d + -0.47. Round l to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus -492183932?\nAnswer: -492183932.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 28b + 148b5?\nAnswer: 14b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*q**2 + 9*q**3 + 19*q**2)*(1 + 6 - 3 - 2 + 0 + 4 + 0 - 1 - 1 + (0 + 1 + 0)*(-1 + 0 + 3)).\nAnswer: 54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000659208863 to six dps.\nAnswer: 0.000659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + -2)\/((-2)\/(-32)). Let a(u) = -n + 30 - 14 + 2*u**2. Let o(m) = -6*m**2. Determine o(a(k)).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2357900475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1129, 4618, 10555, 18940, 29773?\n\"Answer: 1224*y**2 - 183*y + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/15 of a millennium in months?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3.74457641 and -24247.2.\nAnswer: -24243.45542359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(75) + 1 - (-3 + -2*sqrt(75))) + 1 + -5*(-1 + -5 + sqrt(75) + (sqrt(75) - sqrt(75)*-2)))**2*-2.\nAnswer: -45662 + 11560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 60598007299382 and 0.8.\nAnswer: 60598007299382.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 1. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34614 + 32989. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 (base 5) in base 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41*d**4 - 1253*d**3 - 548*d**2 - 50.\nAnswer: 984*d - 7518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 39 + 77?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 381 a factor of 304952781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 100*n - 691 - 209. Suppose 4*s = -2*i + 110, 2*s - 5*i - 53 = -4*i. What is the highest common divisor of s and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3089441, -6179050, -9268659, -12358268, -15447877?\n\"Answer: -3089609*v + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 10*q**3 + 0*q**2 + 64*q + 0*q**5 - 1\/4*q**4 - 1\/30*q**6 + 0. Find the second derivative of h(f) wrt f.\nAnswer: -12*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - l = -5600004, 4*l - 15 = 1. What is f rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2118, 16926, 57128, 135426, 264522, 457118, 725916?\nAnswer: 1083618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111257*t = -111262*t - 5*y - 110, -12*t - 2*y = 44 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -181911382118 + 5\nAnswer: -181911382113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -179\nAnswer: -53.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2433844467 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 10981394*n**2. Let y(m) = 2*m**2. Calculate j(y(k)).\nAnswer: 43925576*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17604721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-494)\/39)\/19*(-6)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56 - -63. Suppose 15*i = 16*i - 76. Suppose -i*j + 73*j + 3 = 0. Which is the third smallest value?  (a) r  (b) -1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/24 and -4 + (-477)\/6*(-6)\/18?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 1\/3  (b) 0.3  (c) -13  (d) -3  (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*a - 37867 = -4495*a - 3398*a - 173714 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2541 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-11) - 124\/(-44). List the prime factors of (-19)\/(z + -1 - 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**4 + x**2 + x - 1. Let p(f) = -8*f**4 - f**2 + 5 - 9*f + 6*f - 2*f. Let l(u) = p(u) + 5*r(u). What is the third derivative of l(y) wrt y?\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2074 - -3902. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 26\/(-143) - 68\/(-11). Suppose 0 = 3*f - z + 3. Put 5, f, 2 in descending order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 160.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 379157, 379152, 379147, 379142, 379137?\nAnswer: 379132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 5*w**3 - w**2 + w + 1. Let k be s(-1). Suppose -11 = -4*d + y, 0*d + 4*d - 17 = 3*y. What is the remainder when -6*(-2 + (-8)\/k) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -84036.2 - 13352.8. Let t = -97388.40001 - h. Let y = t + -0.6. What is y rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1, 4, 0, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*909625.\nAnswer: 4548125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17949930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 35, 9, -5, -7, 3, 25?\n\"Answer: 6*n**2 - 44*n + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4642\/2163 - -15\/7. Let h = -2984\/927 + v. Find the common denominator of -3\/5 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 30719.\nAnswer: 5\/30719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 231204 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.7333348 to two decimal places.\nAnswer: -7.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.021687183 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**6\/120 - u**5\/30 - u**4\/12 + u**3\/6 + 17*u**2. Calculate y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 12 = -5*g. Suppose 3*v = g*v - 33. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of 2*j**4 + 10*j**3 + 9. What is the third derivative of d(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10843110 and -0.17.\nAnswer: 10843109.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 514610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-226)\/92 + (-1)\/2 - (336 + -339)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -7. Suppose 3*n + 2*y = 11, y - 10 = -3*n + 6. Let u = 3 - n. Put 2\/7, j, u in descending order.\nAnswer: 2\/7, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + 7337\/(-88) + 45 - -31.\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 7*l**2 - 5. Let r(a) = a**3 + a**2 - 1. Suppose -17*t + 295 = 312. Determine t*o(n) + 5*r(n).\nAnswer: 4*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x**3*x*x)\/x)*x**(3\/8))**29*((x**(5\/6)*x*x)\/x**2)\/(x**(2\/3))**(-7\/9) assuming x is positive.\nAnswer: x**(-16151\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*a - 22*a**4 - 49 + 386*a**3 + 48 - 387*a**3 in the form p + w*a**3 + n*a + x*a**2 + k*a**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -66139445, -132278890, -198418335, -264557780, -330697225, -396836670?\n\"Answer: -66139445*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 142444324?\nAnswer: -142444322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -450202 + 2?\nAnswer: -450200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0*s + 8. Let m = 10 - 9. Let w be 22\/s*2\/m. Solve -5*h = -g + w, 2*g = h - g + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2235033.\nAnswer: 3, 41, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 5*b. Let t(l) = -l - 861851. What is t(h(f))?\nAnswer: -5*f - 861851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-34)\/(-153)*(2\/(-30))\/((-25)\/(-45))\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 532 - -452. Is i a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/126*(-107)\/(1819\/(-102))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 3*a - 12. Suppose y + a*g = 12, 5*y + 3*g = 7*y - 2. Find the third derivative of 3*v**3 - v**3 - y*v**3 + v**2 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - (-2 - -3) - 0. Let a(v) = -11*v**3 + 5*v**2 + 22*v + 42. Let h(x) = 14*x**3 - 7*x**2 - 29*x - 54. Let n(m) = 9*a(m) + 7*h(m). What is n(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46164 - -327. List the prime factors of v.\nAnswer: 3, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/33124 and 81\/18336500.\nAnswer: 128355500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 7724873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 i, and 1 m when four letters picked without replacement from {m: 3, l: 13, i: 3}.\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 4*s**2 + 2*s. Let l(u) = 3*u**2 + 7*u. Let g(c) = -11*c + 0*c - 6*c**2 + 0*c - 4*c. Let q(t) = -6*g(t) - 13*l(t). Give -4*n(w) - 6*q(w).\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/12 - (-1)\/(-3). Which is the closest to f?  (a) 2\/15  (b) -0.5  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 6\/11, -3, 5, 1\/4 in decreasing order.\nAnswer: 11, 5, 6\/11, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-4*(-3 + 6*(sqrt(162) + -2) + sqrt(162) + 0 + 1))**2.\nAnswer: -1016064*sqrt(2) + 4685184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m - 10. Let z(p) = p - 3. Give 4*q(k) - 11*z(k).\nAnswer: -3*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 p, and 2 i when four letters picked without replacement from {x: 1, i: 4, p: 1, w: 1, l: 4, v: 3}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x = 16*x - 36. Suppose -21*r = x*r. Solve -5*s + 0*s + 5 = r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ioynnoykyoioyyv. What is prob of sequence ikoy?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 705316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 89*z**3 - 18*z**2 + 4*z - 6. Let h be x(2). What is the highest common divisor of 4708 and h?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1925.166 + 1925. What is the nearest to z in -1\/11, 4, 0.3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-72)\/(-10) - (-3)\/(-15). Let w(z) = z**2 - 6*z - 2. Let t be w(o). Suppose -5*f = -n + 38, -t*f = -2*f - 12. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + i + 145. Is j(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ndqntqqtxqtvdtqqnq. What is prob of picking 2 t, 1 d, and 1 n?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -13221153.\nAnswer: -66105765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 112081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*66\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 28, 48, 72, 100?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 887*d**2 + 827*d**2 - 1710*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 35546 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2756, 2642, 2574, 2552, 2576, 2646, 2762?\nAnswer: 2924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -1463*r. Let y(z) = -226*z. Calculate y(h(t)).\nAnswer: 330638*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 5:04 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27448 and 434280?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 4*o - 6. Factor -8*x**2 + 2*x**o + 15*x**2 - x**2.\nAnswer: 2*x**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yktrnuunkunukk. Give prob of sequence yt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 695 + 421 = 279*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-2\/7)*s**(-2\/35) assuming s is positive.\nAnswer: s**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 0.03  (c) -2\/7  (d) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -15*f**3 + f - 4*f**2 - 3 + 10*f**3 + 4*f**3. Calculate t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 88\/80 - 1545256\/(-18640)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n**(-5\/6)*n))\/(n*n**(-4\/9))*(n**(2\/3)*n)**(-1\/22) assuming n is positive.\nAnswer: n**(-79\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 13\/(13\/(-6)) - -11 - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -177?\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*v = -74538, 5*g + v + 4*v = 372750. Let i be ((-158)\/(-4))\/((-2)\/2104). Let f = g + i. What is f rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 62437 and 1537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10314 = 36*m + 1314. Let z(l) = 2*l**3 - 4*l**2 + 6*l + 20. Let s be z(5). Calculate the highest common factor of m and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, -3, 2, -3\/2, 555?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 7, m: 7}. What is prob of picking 1 m and 2 h?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 110920501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000339314 rounded to 6 decimal places?\nAnswer: 0.000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -5*h**3 - 2*h**2 + 4*h - 1. Let o(s) = -s**3 + s. Let m(n) = -6*o(n) + u(n). Let a be m(3). Suppose 0*k = a*k - 70. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33 - -32. Let w(g) = g**3 + 2*g**2 + g. Give w(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*j - 71. Let g be (-2)\/(-9) + 8803776\/j. Let v = g - 616066. Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t + 6. Let j be l(-3). Is 1\/34 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 512 and 1152?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 41 + -40. Suppose -14 = 5*h - 5*u + 26, 0 = -3*h + 5*u - 32. Which is the nearest to 0.1?  (a) h  (b) 38  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/18 + (-94)\/6. Is (-2)\/8 - 420\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 2 + 0*b + 0 + (-2*b - 2*b + 2*b)*(-3 + 4 - 2))*(278*b + 622*b - 246*b).\nAnswer: 654*b**2 + 1308*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 + 39*l - 93. What is the lowest common multiple of 161 and g(5)?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55591 + 52359 = -7*a + 3*a. Which is smaller: 807 or a?\nAnswer: 807","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 - 14*d - 66. Give p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -328 divided by 9\nAnswer: -328\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4*(-1 + sqrt(2057) + sqrt(2057) + 3 + -1 + sqrt(2057) + -1) + -1)**2.\nAnswer: -1320*sqrt(17) + 1481045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c**2 - c**2 + c**2)*((-3*c + c + 0*c)*(2*c - 4*c + 4*c) - 372*c**2 - 54908 + 54908) + 7 - 7 - 4*c**4.\nAnswer: 1500*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z + 8. Let k be n(-7). Which is bigger: -10\/21 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 - 112570?\nAnswer: -112563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 269939816 and 1240?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -2*t**2 - 22*t + 7. Let c be m(-8). Let n(q) = -6*q**2 + c*q**2 + 11*q**2. Let k(u) = 2*u**2. Give k(n(i)).\nAnswer: 450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5774736329 rounded to five dps?\nAnswer: -0.57747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -673388, -1346857, -2020316, -2693759, -3367180, -4040573?\n\"Answer: x**3 - x**2 - 673473*x + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 48 + 229*t**3 - 3*t**2 - 4*t - 171*t**3 - 56*t**3 as n + w*t**3 + r*t + d*t**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5264965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57386*u - 17420*u + 5 - 5.\nAnswer: 39966*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25270538?\nAnswer: 2, 2221, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 0*t**2 + 0*t**2. Let z(f) be the third derivative of f**5\/20 + 12*f**2. What is n(z(u))?\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -h**5\/200 + h**4\/24 + 2*h**3\/15 + 21*h**2\/2 + 26. Let b(l) be the second derivative of i(l). Factor b(c).\nAnswer: -(c - 4)*(3*c + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -970403, -1940797, -2911179, -3881543, -4851883, -5822193?\nAnswer: -6792467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 2.8. Let c = -341 - -239. Let y = 102.1 + c. What is the nearest to y in 2, 2\/9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 87\/18 + 9\/(-12) + (-221)\/68.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 168998205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 5*z**6\/3 - 4144*z**5\/5 + 215073*z**4\/2 - 57132*z**3 - 3606. Find x, given that u(x) = 0.\nAnswer: 0, 2\/5, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -4 + -4 - -1 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 71261999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*f = 124*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -22  (b) 0.4  (c) -2  (d) -1  (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1278010115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 359814?\nAnswer: 2, 3, 7, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 11*a**2 - 8*a - 82. What is s(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 11*k. Let z(n) = -93*n. Give y(z(a)).\nAnswer: -1023*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3097007513.\nAnswer: 3097007513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 x when four letters picked without replacement from xoxoxovxooxxommoqx?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((10\/(-25))\/((-1)\/(-5)))\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 + 32?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = 8*o - 3*o + 5 - 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 5 - 27)*(-2 + 2 - 1)*(-5*p + 4*p + 5*p)*(2 - 1 + 0).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*u - 51*u - 75 = -4*n, -4*u + 93 = 5*n. Solve -n*g + 142 = -5 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -1 - 5\/2*j**2 + 5*j + 1\/4*j**4 + 4\/3*j**3. Let y be v(-5). Solve 5*s - 24 = -4*k + 2*s, y*s = -2*k + 26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - f - 30 = 0, -2*o - 5*f + 48 = -33. Let j = 22 + -17. Suppose j*d + 2 = 57. Calculate the highest common divisor of d and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -5*q - 19, -7*m + 10*m - 3*q = 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/2)\/(4\/(-55240)) + -1. Suppose 5*d - 4*n - z = -2*n, d - 1388 = -2*n. Round d to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*u**2 - 49*u**2 - 79*u**2 + 5 - 4 - 57*u**2.\nAnswer: -176*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2112330*i**4 - 2440*i**2 - 2*i + 517?\nAnswer: 50695920*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1206, -1212, -1222, -1236?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 357989029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-13788)\/(-20) + -9 + 4\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 6331\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.207748 rounded to one decimal place?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18818*a**4 - 5*a**3 + 588*a**2 + 94191394*a?\nAnswer: -225816*a**2 - 30*a + 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 13 = -0*l - 2*l, 0 = -p - 3*l + 18. Let w(m) = -5 - 4*m + 7*m - 4*m + m**p + 4 + m**2. Calculate w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 836 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 231\/(-396) + (1 - (-6)\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.917 - 3.217. Sort b, -1, 0.6 in increasing order.\nAnswer: -1, 0.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = z - 3*z. Suppose 2*p - z = p. What is the remainder when p is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**3\/5 + 13494*c**2 = 0. What is c?\nAnswer: -22490, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 1031310?\nAnswer: 1031300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 7  (b) -2  (c) 0.2  (d) -2\/9  (e) -9  (f) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u. Suppose 0 = 4*x - 128 + 20. Let j(b) = 12*b + 27. Let t(o) = -o - 2. Let a(k) = x*t(k) + 2*j(k). Calculate z(a(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 120 and 10680.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x - 9*x + 4*a - 16398 = 0, -5*x - 4*a = -41025. List the prime factors of x.\nAnswer: 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1861276327 to the power of 1\/2, to the nearest integer?\nAnswer: 43143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.109 less than 0.034?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -220, -0.2, 0.7 in increasing order.\nAnswer: -220, -0.2, 0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeuuezzzezez. What is prob of picking 1 z, 2 u, and 1 e?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24368867?\nAnswer: 24368867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 20*q**2 - 49*q + 458. What is the ten thousands digit of w(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (4 - 4) - (1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -229825 and 2.125486?\nAnswer: 229827.125486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2543*o - 7964*o + 2381*o + 2197*o.\nAnswer: -843*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 22 = -r, -2*r + 4 = 3*m - 7*m. Suppose -2*o + 16 = 2*o. Put 5, o, m, -2 in decreasing order.\nAnswer: 5, o, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 89985417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/78900 and 51\/131500.\nAnswer: 394500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/(-3))\/((39\/48429)\/(-13)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*s**2 + 3*s**2 + 19*s**2)*(-2*s + 2*s + 2*s)*(65*s**2 + 21*s**2 + 15*s**2).\nAnswer: 6666*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47249, -95311, -143373?\nAnswer: -191435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 - 25. Solve 10 = -5*p - s*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 44. Suppose -3*c - 20 = 2*z, g = -3*z - 0*z - 4*c. Put 5, 1, z in decreasing order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 5:42 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a**3 - 2868262*a**2 + 2580303?\nAnswer: -3*a**2 - 5736524*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x\/x**2*x)**(-2\/69)\/(x**(-5\/3)\/((x**10\/x)\/x)) assuming x is positive.\nAnswer: x**(221\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m - 18 - 5 - 5. What is the tens digit of p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 + 24*u + 46. Let i be k(-22). Solve 0 = i*q + 3 - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4428985*w**6 + 101589771*w**2.\nAnswer: 531478200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c**2 - 5. Suppose -25*v + 26*v + 16*v - 17 = 0. Let q(h) = 3*h + 7. Let s(x) = 4*x + 10. Let w(o) = 7*q(o) - 5*s(o). What is v*z(g) - 5*w(g)?\nAnswer: 2*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 5*f + 132 = -2*m, 5*m - 284 = -f. Suppose -g - 2*u - m = -0*g, 0 = -g + 5*u - 49. Let q = g + 107. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 33.483 weeks?\nAnswer: 20250518400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a factor of 28919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, w: 3, y: 6, x: 3}. Give prob of picking 1 u and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -2 + -3 + 7 + -1 + -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 7*o**2 + 12*o - 29. Let w(z) = z**2 + 12*z + 8. Let q be w(-12). Let c be r(q). Solve c*s - 1 = 4*j, 2*s - 7 = -s + j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -b**6\/15 - 809*b**3\/6 - 410*b**2 - 409*b + 2. What is the derivative of u(f) wrt f?\nAnswer: -8*f**3 - 809","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t + 264. What is q(-47)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**3 + 0*r**3 - r**3 - r**3 + 3*r**3 - 3*r**3 + (-2*r + 0 + 0)*(5*r**2 - 5*r**2 - 5*r**2))*(r + 0*r + 0*r).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*c**2*g**5 + c**2*g**2 - 369*c**2 - 116*g**6 wrt g.\nAnswer: -180*c**2*g**2 - 13920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12*t**3 - 227*t**2 + 1082 wrt t.\nAnswer: 36*t**2 - 454*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102010101 + 201001222?\nAnswer: 1010012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 4)*(2816 - 2816 - 120*s) - 6 - 2*s + 6 to b + x*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*o**2 - 14 + 14)*(-o + 2*o + o - o + 23*o + 12*o - 1 + 1 - 2*o + (4*o - o - 2*o)*(0 + 1 - 3)) as h*o**3 + m + t*o + s*o**2 and give h.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 12*l**2. Let k(v) = -4*v**2. Let u(a) = 5*g(a) + 14*k(a). Let b(d) be the second derivative of d**4\/6 + 3*d. Determine b(u(h)).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of 0*k + 24\/5*k**5 + 0*k**2 - 5\/3*k**6 - 9\/2*k**4 + 11 + 4\/3*k**3. Find f such that l(f) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.2832 litres in millilitres?\nAnswer: 61283.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jhfffao. Give prob of picking 1 j and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-124)\/14 + (8 - 0). Let t = -34 - -24. Let z = 15 + t. What is the second biggest value in f, z, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5291936 by -101768.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-5\/3)\/x**18)**(3\/29) assuming x is positive.\nAnswer: x**(-59\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 465 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 968 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: What is the highest common factor of 90 and 10770?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of x**4\/8 + x**2 + 2. Let g(s) be the second derivative of p(s). Let o(a) = 7*a**2 + 3*a**2 - 15*a**2. Determine o(g(d)).\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 78.48372mm?\nAnswer: 0.07848372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i + 7. Let v be z(0). Let t(q) = -q - 4*q + v*q. Let s(x) = -2*x**2. What is s(t(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/(-4) - 2)\/(-2). What is the third smallest value in 4\/3, n, -2\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 (base 13) in base 16?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9075 + -9066. What is the greatest common divisor of 1521 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117460 rounded to the nearest 1000?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -358753 divided by 5\nAnswer: -358753\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -79*z**3 + 5*z**2 + 67*z - 17. Is 67 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5594\/393 + 13\/131. Let h = -3185\/222 + i. Let g = h + -141\/518. Which is the nearest to g?  (a) -2\/15  (b) -2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from {z: 2, k: 3, t: 3, w: 2, j: 9}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 66 = -k, 18*j = -2*k + k + 304 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 112*d**2 + 365*d + 246. Let r(j) = -j**3 - 113*j**2 - 365*j - 244. Let o(n) = 3*l(n) + 2*r(n). Let o(f) = 0. What is f?\nAnswer: -2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 + -59 + -1 + (-17 - (-11 - -5))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 28 - 22. Find the common denominator of 6 and q\/20 + 6\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/257  (b) -808  (c) 190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 2*k - 7. What is the tens digit of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4367, 4347, 4299, 4211, 4071?\n\"Answer: -2*i**3 - 2*i**2 + 4371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 8*x - 7*x. Suppose -x*c - 2*q = -2, -c - 3 = -2*c + q. Suppose 39 + 5 = c*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 15 = 3*m, -a = -0*m - 2*m - 9. Let q be (108\/(-10))\/((-1)\/(10\/3)). Let h be (2\/q)\/((-6)\/24). What is the smallest value in h, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in -2\/5, 18, -3\/4, 2\/5, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 662 + -168. Let x = a - 484. Solve -q - x = l, 2*l + 5*q + 30 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -2\/21, -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -105 + 105. Suppose 55 + 25 = -4*x. Which is the second biggest value?  (a) -0.4  (b) x  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 14 = h. Let q = h - -31. Let c be ((-2)\/9)\/((-6)\/q). Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*l = 3419 - 429 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6805.6173 microseconds in hours?\nAnswer: 0.00000189044925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 3*j**2 + 4. Let w be i(3). Suppose 5*a - 7*a + 16 = 0. Solve -4 = w*n + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 11:23 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -9, 14, 3697, -2 in descending order.\nAnswer: 3697, 14, 4, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-1) + (-13 - (-105)\/14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -a**2\/2 + 11*a + 407. What is b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1703708\/5 + -338115. Let k = -2635 + c. Find the common denominator of (-90)\/(-12)*(261\/(-75) - -2) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 36*q - 101. Let w be g(3). Suppose -w*p = -16*p - 27. Let a = -1 + 1. Sort -1, p, -4, a.\nAnswer: -4, p, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {x: 6, e: 13}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -n**5\/60 + 7*n**3\/3 - 11*n**2. Let d(k) be the first derivative of x(k). Let u(r) = 18*r**2. Determine d(u(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86715 is divided by 17327?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252*r - 429 = 241*r. Solve -44*u + r*u = 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -7*c**2 - 1. Determine y(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + 2 + (1 + 3 - 2)*(0 + 1 + 1) - 5 + 5 - 2 - 3 + 0 + 1)*(-4*m + m - 5*m)*(2 + 0 - 5)*(-19 + 7 + 47) in the form i*m + r and give i.\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i*l**2*s + 32*i*l**2 - 133*i*s - 2*i - 41*l**2*s - 29*l*s wrt l?\nAnswer: 2*i*s + 64*i - 82*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/19  (b) 5261\/5  (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 122 + -118. Suppose 4*a - z + 0 = 28, 3*z = m*a - 36. Let w be ((-1)\/(-1) - -1)\/1. What is the highest common divisor of w and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 301 and 305 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 2*k - 4*k - 146, 5*k = y - 27. What is the greatest common divisor of y and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 114) + 68 + -9 + -22.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/8  (b) 2\/7  (c) -2\/11  (d) 3  (e) -1\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12319 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + 0 + -108 + (-9 - -30 - 18).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-3))\/((-3)\/9*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/4*-6)\/3. Let i be (8 - d)*10\/35. Suppose 0 = 2*c - w - 63, 0 = i*c - 5*w - 20 - 23. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.6 - 0.6. Let p = 0.2 - h. What is the closest to 4 in p, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-24)\/15 - (-3490)\/25 and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 79 and 174985?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -12*w + 25*w - 3*y - 0*y + 8*y, -126 = -21*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -799758*d**3 + 186*d**2 + 4711?\nAnswer: -4798548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((15 - 10) + -19 - 3) + 49\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -f + 26. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 - 45 = -7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -3*j - 53747, 2*j + j = -5*f + 67150. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100 (base 2) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - (-1 - -12 - (-374 + 386))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 331 is divided by 171?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 o when four letters picked without replacement from {o: 3, l: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 833.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2 + (sqrt(304) + -5*(sqrt(304) + 0) - sqrt(304)))*6 + 1)**2.\nAnswer: 11040*sqrt(19) + 1094929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cct when three letters picked without replacement from {t: 3, c: 8, w: 6}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005174 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 2*d**2 + 2*d - 2. Let b be l(2). Suppose 37 = b*m + 1. Suppose -3*y - m = -5*x, -y + 1 = 2. Solve -x*w = -5*j + w - 25, 4*j + 20 = w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17.14 + 17. Let a = 0.06 - u. What is the nearest to -0.1 in -0.2, -1\/6, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12344 and 86408?\nAnswer: 86408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42\/5 + 2\/15*h**3 - 46\/15*h**2 + 26\/5*h = 0. Calculate h.\nAnswer: -1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -2133212?\nAnswer: 2133213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 1. Let f = -0.045 + -0.025. What is the second biggest value in f, -0.3, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -l - 2, 3*l = -x + 4 + 18. Let m(y) = -18*y - 12*y + 7 + 27*y + 2. Give m(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by 4985227.\nAnswer: 12\/4985227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -935276 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 633\/272 + -115\/17. Suppose 0 = -2*d - 3*t + 58773, 3*d + 2*t + 117554 = 7*d. Let r = d + -529135\/18. What is the common denominator of r and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -6 - (-79 + (-4136)\/(-47))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 46*d**2 + 465*d. Calculate z(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 294867 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/9)*s*(s**1*s)\/s)\/((s\/(s*s**(2\/93)))\/(((s*(s\/s**(-1\/6))\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(539\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tpt when three letters picked without replacement from {p: 7, t: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + z + 5*z**2)*(-z + 2*z - z**2 + 4*z**2 + (-4*z + 0*z + 6*z)*(3 - 3 - 2*z)).\nAnswer: -5*z**4 + 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (-3)\/2 + (-4)\/(-8). Suppose -19*h + 8*h + 33 = i. Solve -5*n - 19 = b, -5 = h*n + b - 2*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/15*2 + (-66)\/(-10). Let l(x) = -x**3 + 3*x**3 - 4*x**3. Let u(f) = f**3. Give z*u(s) + 4*l(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 26364013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -5*z + 6, 4*o - 7 = 5*z + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1214328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g + 8. Let n be m(-7). Let y = 61\/84 - 16\/21. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 5*v - 2. Let o(y) = -52*y + 12*y + 37*y. Let p be o(v). Solve -4*z - p = -26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9f405 (base 16) in base 11?\nAnswer: -406094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-20 - (10 - 19)) - (-7 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3159585 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1571013 - -2468740. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = -6*j - 17. Suppose k = -j + 18. Let y = -6 + 6. Solve y = -s - 0*x - 3*x + 1, -5*x + k = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4385535 and 2046583?\nAnswer: 30698745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -2005?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 - -2 - 2*-2. Suppose 61 = j*o - 11. Suppose -3*a - a = -o. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4138708 divided by -1034677?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -4) + -34 + 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2297644 is divided by 4505?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a + 22. Let m be c(13). Let p be 2*457\/(-18) - 2\/m. Let z = p + 52. Solve -6*b + 4*s + 12 = -2*b, -3*b = -s - z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a - 2. Let j(f) = -27*f - 13. Let c(q) = -6*i(q) + j(q). Suppose 24 = -3*n + 3*o, -4*n + o - 16 = 5*o. Is c(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2975.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95, -91, -87, -83?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + v = 5*v + 48, -9 = -a - 2*v. Suppose 0 = a*g - 3458 - 4330. What are the prime factors of g?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.01 - 0.01. Suppose 3*l + 15 = 4*j, -4*l - 8*j + 13*j - 19 = 0. Which is the nearest to l?  (a) -0.2  (b) -5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/160 and 69\/244.\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*g - 16629 = 2*g. List the prime factors of g.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -34*d + 49*d + 90 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -171819 take away 587?\nAnswer: -172406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*f - 165 - 110 = 0. Let t(r) = -r + 14. Let h be t(f). Solve h*k + 8 = -7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 15, -b + 21 = -5*z - 8. Suppose b*x = 17*x - 6. Factor r + 1\/4*r**x + 3\/4.\nAnswer: (r + 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*i + 10 = 20*i + 2*y, -3*y = -11*i - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-5)\/((-75)\/(-20)))\/(6\/9). Let k be 1 + b\/1*(-69)\/6. Is k >= 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3*d - 13 - 50 = 0, 2*d - 26 = -f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -3, 0.8, 0.4 in increasing order.\nAnswer: -3, -1\/7, 0.4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from yrfymyyyffyfyyfmfg.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1143, 823, 289, -459, -1421?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.35 + 6.25. Let i = 0.52 - 0.02. What is the nearest to 0 in i, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -1. Suppose 0 = c - p*g - 25 - 24, 80 = 2*c + 2*g. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (103 + -117 - (-297)\/15)*-5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 846*m + 35842. Determine h(-42).\nAnswer: 2074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 130723646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25873, 1, -7, -5.\nAnswer: -7, -5, 1, 25873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)\/(-2*sqrt(729) + sqrt(729)).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 64 = -2*k. Let x = 9 - k. Let d(c) = -c - 1. What is the least common multiple of d(x) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008409401492 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 - 10*b + 12. Let z be u(-11). Suppose f - z = 3. Solve -d - d - 33 = 5*o, -f*o = 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4211 divide 1358535976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1535, -4, 1\/71?\nAnswer: -1535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -134023698*s**6 + 177556515*s**2?\nAnswer: -16082843760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 361, 742, 1397, 2458, 4057, 6326, 9397, 13402?\nAnswer: 18473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8347126, -8347125, -8347124, -8347123, -8347122, -8347121?\nAnswer: -8347120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/11  (b) 15  (c) -70030\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 3*n**2 - 6*n - 4. Let s(a) = 7*a**2 + 2. Let t(j) = -4*j**2 - 1. Let h(w) = -3*s(w) - 5*t(w). Let q(f) = 2*h(f) + o(f). What is q(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -243 (base 6) in base 11?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 10*u. Let d be y(6). Suppose 5*j = -5*f - d, 3*f - 1 = -13. Let n(i) = i**2 + 7*i - 7. Let w be n(j). Solve 5*s = -5, v - s + w = -0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = 17*z + m - 3*m + 3, -2*z = 6*m - 34 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 3 + 1 - 6. Let u be 0 - 1 - (3 + l). Let b(o) = 10*o + 19. Let g be b(-2). Put 1, u, g in ascending order.\nAnswer: g, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (160\/(-54))\/((-23386)\/(-315711))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11122 - -1101000012202?\nAnswer: 1101000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of n**8\/112 - n**5\/12 + 5*n**2\/2 - 3*n. Let m(y) be the first derivative of f(y). Find the third derivative of m(i) wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.07 - 5.07. Let w = -850 - -2552\/3. What is the second smallest value in -3\/7, 5, f, w?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j**2 + 35*j**3 - 32*j**3 - j**3 + 161 in the form m + l*j**2 + h*j + z*j**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000080921543 rounded to 6 decimal places?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -3, 0.2, 0.4, -0.37 in ascending order.\nAnswer: -3, -1\/2, -0.37, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 78*y**2 + 4 - 2 - 8.\nAnswer: -78*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-53977 + 53977 - 567*l)*(4 + 0 - 2) + (0*l + 3*l - l)*(4 - 3 - 3) to a*l + h and give a.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 32 + 10 + x**3 + 17.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 181, 391, 685, 1063, 1525?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-4) + (-21)\/(-14). Solve -w + 4 = -a*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 + -4. Is x at least as big as 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cyy when three letters picked without replacement from kgddgygyydcyrydy.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 5:21 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11147130 (base 8) to base 9.\nAnswer: 4475723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 11. Let t = 16 - 15.94. What is the closest to 0.2 in t, s, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**2 + 3964*t + 15920 = 0. What is t?\nAnswer: -4, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5 - (-11 + 4281)\/(-5)?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-15))\/((-4)\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000004515143 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-20)\/(-12)*-1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -d - 1. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -80, -30, -5, 641 in decreasing order.\nAnswer: 641, -5, -30, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3*sqrt(10)\/sqrt(20))**2 - ((-4 + (sqrt(72)\/sqrt(3))\/sqrt(12))**2 + 0).\nAnswer: -7*sqrt(2) + 23\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 10:23 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 80 - 51. Let s(w) = -30*w - j*w + 82*w - 26*w. Let b(g) = -4*g**2. What is b(s(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 + 5*j - 7. Suppose 6*s - 50 = s. Let q(p) = p**3 - 10*p**2 - p + 4. Let a be q(s). Determine m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14005 + 14*r + 14005 - 14*r + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of 9800\/3*n**4 + 26\/15*n**6 + 0*n - 42875\/3*n**3 - 42*n**2 + 0 + 1\/105*n**7 + 119*n**5. Find k, given that s(k) = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*i*m**2 + 235*i + 20*m**4 wrt m?\nAnswer: 6*i*m + 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 44 + -18 - (1 + -1)\/(-1). Suppose 46 = 9*o - s. What is the smallest common multiple of o and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - l**2 + 5*l + 3. Let x be t(-3). Does 16 divide 4\/(-6) + 196\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 613673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -604.7 + 605. What is the second smallest value in m, 0.46, -0.05?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3415 a factor of 753229475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 310506, 2484111, 8383904, 19872981, 38814438, 67071371, 106506876, 158984049?\n\"Answer: 310516*o**3 - 2*o**2 - o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24 - -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (25\/10)\/((-1)\/(-2)). Suppose -3*w + 10 = 4*v, 2*w - 8 = -4*v - 2*w. Let d = -1 + 8. Solve -2*j + d*j + o = 2*x, v*x = -5*j + 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 9, 4, 2, -2\/3, 0, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t**2 - 3*t. Let v be f(2). Let i(g) = 2 - 2 - v*g. Let x(q) be the first derivative of -q**2 - 13. Determine i(x(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 20 + 18 + 3*f + 14*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/89?  (a) -0.2  (b) -0.13  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 354 and 6254.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 42*i - 35 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8447.552cm in nanometers?\nAnswer: 84475520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/808 in -0.3, -9, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1024399657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 3*b**3 + 203*b**2 + 1574*b + 1. Determine k(-9).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 2 + sqrt(833))*-3 + -2*(sqrt(833) + 1 - sqrt(833)) + 2)**2.\nAnswer: 882*sqrt(17) + 7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 21\/14*4*(-2)\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 6*c + 9*c + 72, 0 = 2*a + 5*c - 27. Suppose -a*o = -1867 - 3824. List the prime factors of o.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10878 - -10923. Put 0.5, 4, v, 1\/7, 1\/11 in descending order.\nAnswer: v, 4, 0.5, 1\/7, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.2 - 4.20000017. What is w rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 14*x - 22*x + 68970. Is 38 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 3355492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 + 35. Suppose q + q = l. Which is greater: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2757, -3827, -4897?\n\"Answer: -1070*o - 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6300 and 2205?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - ((-7 - -2) + -30 + 40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -123*h - 330*h**2 + 61*h - 54*h**2 - 2 + 62*h to r*h + g + n*h**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*h**4 + 39*h**3 - 6*h**2 + 10534*h + 2.\nAnswer: 36*h**2 + 234*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 69, 132, 221, 342, 501?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*b**5*g + 42*b**3 + 2*b**2*g - 2*b**2 - 21*b*g + 5*b - g + 5 wrt b.\nAnswer: -100*b**3*g + 252*b + 4*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 648763463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000081271618 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f - 14. Let j be b(9). Suppose l - j = -3, -46 = z - 2*l. Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*l**4 + 100906345*l - 214711398?\nAnswer: -16*l**3 + 100906345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4405 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 17*b**2 - 939*b - 32. Give s(55).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, n: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 2*n + 3*p + 48, 3*p + 69 = 4*n. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -9*j - 31. Let a be s(-4). What is the greatest common factor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70004 (base 8) to base 10\nAnswer: 28676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 29.265 to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1654027347?\nAnswer: 3, 7, 78763207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*2\/(-32)*12. Suppose -a = -5*w + 16, -36 = -4*w + x*a - 8*a. Solve 5*z + w*v = 7 + 20, 0 = -5*z - 5*v + 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 5)*(-3*p**2 - 24*p - 15*p**3 + 1 + 24*p**3 - 8*p**3).\nAnswer: 4*p**3 - 12*p**2 - 96*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/6 - (-5)\/4*(-72)\/(-135).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -102*v + 149 - 356 + 103*v as y + z*v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of -3892*p**5\/5 - 203*p**3 + 6*p - 3318. Find the third derivative of c(y) wrt y.\nAnswer: -93408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 24 = 5*q, -217*f = 5*q - 220*f - 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56, 97, 138, 179, 220?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 w, and 1 v when three letters picked without replacement from vgggggvggvgwgvggv?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -972?\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 15.1. Let c = f + 19. Let w = c + -18.0999889. Round w to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.4  (b) 3\/7  (c) -3  (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84200 is divided by 526?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -41*m + 406. Give y(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 121313053 to the power of 1\/2, to the nearest integer?\nAnswer: 11014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 635 + -652.2. Let v = l + 16.9864. What is v rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151 - 3930 = 1094*s + 597 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - (22 - -11 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4*l - 2. Let m be o(-1). What is the first derivative of m*p**3 - 7*p - 4 + 7*p wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3018661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {q: 1, a: 1, f: 1, c: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*m = -2*r + 254, 18 = -2*r - 4*m + 3*m - 3*m + 20 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -34 + 180864872095\nAnswer: 180864872061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -0.2  (c) 0.5  (d) -14\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 142*o**2 + 139*o - 38. What is m(-141)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (121 - 107)\/(95 + 3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-693)*(-1750)\/(-75)*(-7200)\/320\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -50671782*m*q**2 - 10904*q**2 - 24*q - 13 wrt m.\nAnswer: -50671782*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1001 - -210?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*d + 127*d = -124. Suppose 9*i = 23 + d. Solve 4*w = u + 10 - 1, 2*u + 4*w - i = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -9*u**2 + 24*u - 27. Let m(j) = -26*j**2 + 71*j - 81. Let b(v) = 6*m(v) - 17*w(v). Solve b(a) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of 5*m**3\/3 + m**2 + 2*m + 53. What is the second derivative of t(u) wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 75*a**4*s + 3*a**3*s**2 - 3*a**2*s - a**2 - 113*a*s**2 + 1 wrt a?\nAnswer: 1800*a*s + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 11 = 31. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 o when three letters picked without replacement from {z: 13, o: 1, i: 3}.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 3*n - 6*n + 1812, j = n + 612. Calculate the least common multiple of 38368\/j - (-4)\/(-38) and 3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -0.5, -3, -4, 45591\/8.\nAnswer: -4, -3, -0.5, 0.6, 45591\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2830243, -2830246, -2830249, -2830252, -2830255, -2830258?\n\"Answer: -3*f - 2830240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62143740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*r + 570 - 1703 = -3*p - 35*r, 27 = 2*p - r for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2634823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(27 - 17))\/((-1)\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 1. Let l(v) = 2*v**2 - 1. Let m(i) = l(i) - z(i). Let r = 51 - 55. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -615\/4 + 153. Let i = -134 + 940\/7. Let w = 4.87 - -0.13. Which is the nearest to i?  (a) -2\/15  (b) o  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, s: 2, n: 1, o: 1}. What is prob of sequence oq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -296 - -321. Suppose 3*k + u = 6*u + d, -20 = 4*u. Factor 4\/5*n - 2\/5*n**4 + k + 2*n**2 - 2\/5*n**5 + 6\/5*n**3.\nAnswer: -2*n*(n - 2)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19078693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174*p + 21 = 171*p. Let b(a) be the second derivative of -a**3\/6 - 3*a**2 + 3*a + 4. Calculate b(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 2*q - 11 = -2*d, 2*d - 38 = 4*q. Let g(m) = -m**3 + 2*m**2 + 4*m - 4. Let k be g(3). List the prime factors of d + (-2)\/(k\/1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*i*v**3*y - 2*i*v**3 - i*v**2*y - 2*i*v*y + 10*i*y - 3*v**3*y + 21*v**3 - 296*v**2*y wrt v?\nAnswer: 138*i*y - 12*i - 18*y + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 0.2, -26.12173?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10454 smaller than 10454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*y = 4*y + 342 + 396 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d = -1055 - 1645. Calculate the least common multiple of ((-1)\/(-3))\/(5*5\/d) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3*m = 73 + 23, -8 = -4*m. Let u = 84 + 48. Suppose 0*h + 4*h - u = 0. What is the remainder when h is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 5*k**3 - 818790*k**2 - 67994015*k = 0.\nAnswer: -83, 0, 163841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20.727*5.\nAnswer: 103.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 8:52 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 - 5*p - 2. Let l be u(-5). Let f(x) = -x**3 + x**2 - 3*x - 2. Let j be f(l). Let q = j - 8. What is the highest common factor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 462 and 248985.\nAnswer: 3485790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-2))\/((-1530)\/(-1089)). Let o = 3\/68 + x. Let a = 26\/9 - 28\/9. What is the closest to o in 0.2, 5, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54900000 rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -0.3, 2, 4 in ascending order.\nAnswer: -0.3, 2\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 34376 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(2 + 1 + -2). Let f(s) be the second derivative of 0 - s + 1\/6*s**3 + 3\/2*s**2. Give f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 + 2)*(-1 - 1 + 4) - 1 - 2 + 4 - 14 + 8 + 32)*(-5 + 5 - k**3) - 3*k + k - 2*k**3 + 0*k.\nAnswer: -31*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 + 6*j**2 + 5*j - 1. Let l be n(-5). Let y = 46 - 46. Let m be y\/(-1 - l\/(-1)). Solve -4*u + 20 - 4 = m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 28*u - 37. Let j be v(30). Suppose j*r + 162 = 32*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 g, and 1 s when three letters picked without replacement from {g: 1, v: 2, x: 9, e: 1, r: 3, s: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-18)\/12*(0 - 4\/3). Suppose o*z - 6*z = -3276. Suppose 72 + z = 9*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3347\/3, -0.2, 5.79.\nAnswer: -0.2, 5.79, 3347\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1746 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-4\/7)*w*w*w\/((w\/(w**(-2\/3)\/w))\/w)*w assuming w is positive.\nAnswer: w**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -29\/1155259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35.37 + -35.27. Let q(h) = h + 26. Let f be q(-9). Let n = -5 - -3. Which is the nearest to i?  (a) f  (b) 5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5\/(-30)*-8 - (-274)\/6 and 9.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50286*a*i**3 + a*i + 13*a + 125*i + 2 wrt i?\nAnswer: -301716*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 12*z - 9 + 11 - 3. Let p(m) = -m**3 - 5*m**2 - m + 1. Let u be p(-5). Is b(u) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (13248\/54 - 9)*(-30)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**3 - 3*v. Let j(p) = p**3 - 2*p. Let n = 69 - 65. Let w be -6*n\/(-36)*-3. Calculate w*c(y) + 3*j(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c + 1947. Let l(y) = -6*y + 11669. Calculate -6*l(d) + 34*x(d).\nAnswer: 2*d - 3816","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -7, 0, -6 in descending order.\nAnswer: 1, 0, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4125907\/132959260 - -1\/1089830. Find the common denominator of s and -1\/44.\nAnswer: 18788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - -29 - (0 - -4) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51840571 to the power of 1\/2, to the nearest integer?\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -35166 and -0.7.\nAnswer: -35166.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2. Suppose 7 = -t + 62. Let g(b) = t - 55 - 3*b + 26*b. Give g(w(s)).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1866822 and -2?\nAnswer: 1866824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(36\/(-35) - -1). Suppose 3*x - 8*x = -25. Let t be (-28)\/q*x\/2. What is the third biggest value in 2\/7, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 3*t + 3*n - 141 = 0, 3*t - 3*n - 99 = 0. Solve -114 = t*b - 34 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -1 + (-6)\/(-2) + 27156\/5694?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 67 = -4*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zil when three letters picked without replacement from zzzwzsiszwliwziizi.\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 18 = -3*i. Let m = i - 93. Let y = 30 - m. What is y rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1185282 (base 10) to base 7.\nAnswer: 13034430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 411127043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1196, -1208, -1242, -1310, -1424?\n\"Answer: -2*o**3 + o**2 - o - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 60195?\nAnswer: 60195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, -10\/13, 2\/3, -1\/13 in descending order.\nAnswer: 2\/3, 0, -1\/13, -10\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2)*y**(-16\/5)\/y assuming y is positive.\nAnswer: y**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, c: 4, v: 5}. What is prob of sequence vv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 3*w**2 - w + 2. Let f be z(-2). Let a(d) = -d**2 + 0*d + 2 + 2*d**2 + d. Determine a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three eighths of a decade in months?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f**2 + 4*f**2 - 4*f**2)*(-38*f + 3187 + 38*f + 2*f**2) to the form z*f**3 + m*f + w + q*f**4 + k*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61479 = -3*n + 4*p + 128416, 0 = -5*n - p + 316530. List the prime factors of n.\nAnswer: 5, 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 0 - 3 - 10*a**2 in the form x*a**2 + u*a + k and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 13. Suppose 8 - 25 = -y + 4*h, h + 3 = -y. Suppose -3*k = -4*d - 7, -5*d - 7*k + 20 = -5*k. Sort d, y, l, -4 in descending order.\nAnswer: l, d, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15446 - -28706. List the prime factors of a.\nAnswer: 2, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -1. Suppose 3*c + 5 = 2*a - 6, 51 = f*a + 5*c. Suppose 0 = -3*v + a + 26. Calculate the greatest common factor of v and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33031467 (base 8) to base 6\nAnswer: -411552411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 101989160 divided by -12748645.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -43*v**2 - 9*v - 3. Let c(z) = 64*z**2 + 14*z + 5. Determine -5*c(s) - 8*u(s).\nAnswer: 24*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 5*w + 379 = -o, -4*o - 382 = -w. Let m = w + -210. Let v be m\/(-48)*4\/(-7). Solve 0 = 3*g + g + 3*h + 20, 0 = -v*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 6179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 74031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -547041, -2188101, -4923195, -8752329, -13675509?\n\"Answer: -z**3 - 547011*z**2 - 20*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3409943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8807597 times -0.02?\nAnswer: 0.037615194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4*w - 6 + 3 = 0, 0 = f - 2*w - 1. Suppose 2*k = -4*d + f + 17, 0 = -4*k + d. What is the derivative of 2 + 0*r**3 - 3*r**3 - k wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 + 8*s - 11. What is g(10)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -277*m**2 - 436*m**2 - 211*m**2 + 8*m - 8*m in the form c*m + x + g*m**2 and give g.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 1.93\nAnswer: -3.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 0 + (1 - -2). Suppose k*l - 30 = -l. Suppose 3*t - l = 2*y, 3*t + 4*y + y + 25 = 0. Solve j = -t*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 4*n + 105 - 71, -3*n - 41 = -4*z. Let i(v) = 35*v**2 - v. Let b(a) = 176*a**2 - 5*a. Determine n*i(r) + 2*b(r).\nAnswer: -33*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34 + 65\/2. Which is the smallest value?  (a) 2\/7  (b) h  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/154 and -17\/20020?\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -526 + 337. Calculate the smallest common multiple of (4\/(-7))\/(18\/s) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 7*o + 6. Let r(s) = -15*s - 13. Let h(x) = 13*a(x) + 6*r(x). Let z(n) = n. Let d(u) = 7*u. Let p(t) = -d(t) + 5*z(t). Determine h(p(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 2 = 12 - 0 - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 24, -10*d = -5*d - 2*c - 22. Solve -d*a - i + 15 = 0, -222*a + 219*a - 2*i + 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2665*g**3 - 70*g*o - 166398*o wrt g?\nAnswer: 7995*g**2 - 70*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95526 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-7 + -4 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*t - 4*x + 47, 0 = -5*t + 3*x - 55. Let b(d) = -116 - 2*d + 45 + 24 + 21. Let m be b(t). Solve 2*l - 4 = 6*l, -v + m = 3*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 369*u - 388 - 6542 + 657 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*p + 10 = 4*l, 13*l + 51*p + 15 = 49*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3257967*v**3 - 603886*v wrt v.\nAnswer: 19547802*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 3551241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(-4) + 21\/(-36)*-3. Let g be ((-60)\/8)\/j*(-24)\/10. Solve g*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 5, y: 4, g: 4, d: 3}. What is prob of sequence dghd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 - v**2 + 2*v + 2. Let t(p) = -8*p**3 - 2482*p**2 - 310006*p - 307526. Let s(f) = 3*g(f) + t(f). Let s(l) = 0. What is l?\nAnswer: -248, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-12)*((-3 - 5) + 5 + 5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49 and 64827?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s + 2*s - s + 1. Let t(j) be the third derivative of j**5\/60 - j**4\/24 + j**3\/3 - j**2. Suppose -32*g + 51 = -15*g. Calculate g*o(u) - 2*t(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -381 + 1233 = 3*m. What are the prime factors of m?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(228)*2 - ((sqrt(228) + sqrt(228) + sqrt(228) + sqrt(228)*1)*-1 - sqrt(228)))\/(5*(sqrt(48) + sqrt(96)\/sqrt(2))*4).\nAnswer: -sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1721 or -1728?\nAnswer: -1721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 8382*m**2 - 103*m - 304. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -5*c**3 + 89*c**2 + 113*c + 12. What is d(19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 + 57*u**2 - 219*u + 158. Give r(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + 3*h**2 + 2*h - 1. Let z be t(-2). Let o be ((-1 - -4) + z)*1. Do o and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -11*x. Let q be u(-1). Let h be ((-12)\/q)\/((-1)\/((-28)\/(-21))). Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(3 - 0) + 0. Let q = p + 2. Solve 2 = q*u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -4438*n + 1. Let j be s(1). Let o = -88713\/20 - j. What is the common denominator of 37\/30 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + w**4 + 3\/2*w**3 + 1\/4*w + w**2 + 1\/4*w**5.\nAnswer: w*(w + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 * -2507.\nAnswer: 150.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 708207.726 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-12)*((-12)\/(-36) + 66\/(-90)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5391.742 grams in micrograms?\nAnswer: 5391742000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1120\/(-15))\/((-1)\/36). Suppose 5*l + 3*z = q, -3*z + 0*z - 1608 = -3*l. Calculate the common denominator of -47\/8 and 2\/(-5) - l\/70.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57 - 3060\/54)\/((-2)\/(-54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -6*b - 49. Let r(t) = -t + 1. What is -5*r(s) + x(s)?\nAnswer: -s - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 - 27*m + 446. Does 23 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (14 - 5 - 7) + (-74)\/25. Let v = 1677\/50 - p. Find the common denominator of 139\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*g**3*v**2 - 645*g**3 + 5*g*v**3 + 3*v wrt v?\nAnswer: 6*g**3*v + 15*g*v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/10*(-20)\/(-8)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -65 - -4225?\nAnswer: 4170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, l: 11, j: 4}. What is prob of sequence lbj?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-86)\/602)\/((-1)\/(-91))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54.7 + 55. What is the second biggest value in -2\/37, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k. Let r(a) = -66985446*a**2. Determine r(m(b)).\nAnswer: -267941784*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -28*s + 7. Let o be l(-7). Suppose -4*y - o = -5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68358820 and 10706?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*x + 6*x + 9 = 0, -3*g = -2*x + 8. Let q = 8 + g. Find the second derivative of 2*h + 10*h**2 - 6*h**2 + q*h wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 694008 and 1904.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 1224?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -2414000 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 83*r**2 - 169*r**2 - 10 + 15*r + 85*r**2. What is the lowest common multiple of m(13) and (-1 + -9)*24\/(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-40))\/(2743\/1097200).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 8:54 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4233981*h. Let m(l) = 2*l**2. Give o(m(f)).\nAnswer: -8467962*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1106669.\nAnswer: 29, 31, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*x + 767 = -2293. Calculate the least common multiple of x and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.1 + -0.1. Suppose 6*k - 96 = -0*k. Let l = k + -17. Which is the closest to m?  (a) 0.5  (b) 5\/2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -8*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4868984 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 - 13.6. Let i = j + -1.2. Which is the second smallest value?  (a) -4\/5  (b) i  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 19, 173, 52, -2 in increasing order.\nAnswer: -4, -2, 5, 19, 52, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-33)\/((3\/156)\/((-7)\/126))*96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8602*g**2*y**2 - 2*y**2 + y + 1580 with respect to g.\nAnswer: 17204*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -239 equal to -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, t: 3, n: 3}. What is prob of sequence nnbb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t + 30. Determine w(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 967 + -967.1. Let l be 24\/(-27) + 2\/9. What is the biggest value in 0.5, l, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18078.\nAnswer: 2, 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-816)\/(-16320) - (-93)\/(-260).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 42399, -0.08, -6?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 6*c - 12. Suppose v - 4 = -t, 4*t = 3*v - c - 2. Solve 16 = v*b + 2*k, 4*k - 21 = -1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 13 = -2*a, 4*a + 39 = -3*m + 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8392*a + 6 - 6 + 8229*a.\nAnswer: -163*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -22) + 2 + -2 - (23 + -6 + -103)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/24*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/3 or 6788?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3*n + 1. Let d = -82 + 89. What is the lowest common multiple of d and i(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 - 7*i**3 + 733934 - 733942 + 0*i**4 + 11*i**4 in the form l + t*i**2 + k*i + p*i**3 + d*i**4 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z. Let x be (3\/(-4))\/(15\/120). Let r(g) = -2*g + 1. Let s(p) = 1. Let y(t) = -r(t) + s(t). What is x*y(q) - 5*f(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 32155352 - -1?\nAnswer: 32155353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 12 = -w, 16 + 2 = w + 5*f. Suppose -4*b + 16 = -4*n, 3*b + 2*n = -w*n - 12. Let g be b*(4 - 3) + -1. Solve 5*y - 4*c = 26, g*c + 8 = -2*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 84*i + 0*i**3 + 0 + 0*i**2 - 27\/4*i**5 - 13\/12*i**4. Find the third derivative of k(j) wrt j.\nAnswer: -810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -133*q**3 - 6*q**2 + 4. Let a(t) = -398*t**3 - 16*t**2 + 11. What is 3*a(l) - 8*z(l)?\nAnswer: -130*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -904*i + 4*i**2 + 904*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 * 2.64\nAnswer: -0.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12618165155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -7885.7 and 0.8?\nAnswer: 7886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*u - 97*u + 110 = 0 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 3:36 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -306871272 divided by 236\nAnswer: -1300302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 6:48 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -3*w**3 + 12*w**2 + 12*w - 1. Let o be u(-1). Solve 2*r + 4*p = -14, o*r + 7 + 5 = -2*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = p - 10459 + 303, -5*p + 50792 = 22*j. What are the prime factors of p?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/5 + (-2669)\/(-85) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002117 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4973, 5548, 6123, 6698, 7273?\n\"Answer: 575*n + 4398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k + 12312 - 3320 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 7*c + 20, 5*c + 16 = 44409*q - 44406*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 9*t**2 - t + 11. Let g be s(9). Let d(f) = 3 - f + g - 5. What is d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/(30\/4))\/((-43)\/8127). Calculate the highest common factor of 98 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2061608288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10324159 divided by -10.\nAnswer: -10324159\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of 49*q**5\/20 + q**4\/6 + 45*q**2\/2 + 77*q. Find the third derivative of s(v) wrt v.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + 33?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -10*-3*(-1)\/(-3). Solve -i = 4*i + q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 2417*d**2 + 5927*d**2 - 2851*d**2)*((-3*d + 1 - 1)*(-1 - 2 + 1) + 2*d - d - 4*d).\nAnswer: 1977*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 408 and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ytcztos. Give prob of picking 1 o, 1 t, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153*o**3 - 543*o**3 - 1684*o**3 + 51*o**2 - 208*o**2.\nAnswer: -2380*o**3 - 157*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -88*r**2 + 0*r - 2*r**4 - 20\/9*r**3 + 0 - 7\/90*r**5. Let u(h) = 0. Calculate h.\nAnswer: -10, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 3*o - 83, -3*j - 26 = -o - 0*j. Calculate the highest common factor of 203 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8904?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 + -1 + (1 - 38).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (16 - 6) + 0 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*g + 21 + 27. Let c(z) = -14*z**3 - 2*z**2 + 3*z + 3. Does 10 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 488603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*t - 20 + 41 - 21 as b + p*t and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 + -29. Suppose q = -2*m - 7 + 11. Calculate the least common multiple of ((-3)\/m)\/(2\/(-4)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mjjjjjjjjmjjjjjjjjjj. What is prob of sequence jj?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**5\/7 - 15*d**4\/7 - 30*d**3\/7 + 50*d**2 + 105*d - 441 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/((-14)\/(-344))*6\/(-12))\/(-1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.608 + 0.008. What is p rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = 5*c + x, -11*x + 7*x - 44 = -4*c. Suppose -2*w + 4*h - c = 0, 35 = -0*w + 4*w + 3*h. Solve 3*m + 4*y + 1 = 0, 0 = w*m - 0*y - y - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1147 - -1216. Calculate the lowest common multiple of 115 and c.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1957\/6 + 328. Let v(b) be the second derivative of 0 + 0*b**2 - 5\/6*b**4 + r*b**3 - 8*b. Find the second derivative of v(m) wrt m.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9218.75 centuries?\nAnswer: 92187.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + -33. Let a = -17 + k. Is (a\/(-2))\/(-1)*-1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 12, 2*h = 5*r - 0*h - 631. Let x = 194 - r. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 8*s**2 + s - 163. Let w(k) = 2*k. What is w(x(u))?\nAnswer: 16*u**2 + 2*u - 326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w**3\/13 - 242*w**2\/13 + 654*w\/13 + 1512\/13 = 0. What is w?\nAnswer: -63, -3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4765, -19334, -43595, -77536, -121145?\nAnswer: -174410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-13)\/26 - 9\/(-2). Solve 5*y + 31 - 12 = s, -w*y - 4*s = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -401\/18 + 45\/2. Let k = 132.1 + -132. Which is the closest to k?  (a) 0.3  (b) h  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - q - 5 = 0, -17*q = 3*c - 22*q + 21 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (45\/12)\/(1\/20). Suppose -8*l + 55 = 5*r - 3*l, f = 5*r + l. What is the lowest common multiple of 4 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w\/(w*w*w**(1\/4))*w)**(7\/2)*(w*w**(5\/4)*w)\/(w*(w\/(w\/((w\/w**5)\/w)))\/w*w) assuming w is positive.\nAnswer: w**(107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -15, 2\/7, 338815\/4, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 6887.77626 to 1 dp.\nAnswer: 6887.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60798389 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 13705*t**2. Let z(w) = -w**2. Give z(m(g)).\nAnswer: -187827025*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4178.2 + 4171. Sort 4, -1, 0.7, -1\/2, i in ascending order.\nAnswer: i, -1, -1\/2, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/32 - (-26138)\/8. Let v = -1925 + s. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1805575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * -0.168122\nAnswer: 0.1008732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 2*x + 12. Let f = 35 - 40.6. Let d = 0.6 + f. Which is the biggest value?  (a) -3  (b) x  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5930 and 5337?\nAnswer: 53370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3596332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4*h + 10, 2*h - 3*h = 5*r + 3. Let o(u) = 0*u - 9*u**3 + 2*u + h + 7*u**3. Let k(n) = -n**3 + n + 1. Calculate 5*k(s) - 2*o(s).\nAnswer: -s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*d + 5*d**2 + 17*d)*(0 - 1 - 2 + (0 - 3 + 2)*(3 + 2 - 3))*((2 - 2 - d**3)*(2 + 0 + 0) + 1 - 1 - d**3).\nAnswer: 75*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aii when three letters picked without replacement from {a: 6, x: 1, i: 3, l: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = j + 4*j. What is the common denominator of (-5)\/j - (-4)\/20 and 61\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14\/4 + 4\/8. Suppose -x*z - 7*w = -4*w - 1478, -w + 370 = z. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 690 and 483?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6259481 and 11843?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 490 = 2*s + 12*s. Suppose -9*k + 4*k = -s. Suppose -k = -7*p + 7. Solve 0 = p*t + 5 - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -24*i**2 + 4*i + 3. Let q be u(-2). Let b be q\/(-2)*(13 + 1). What is the lowest common multiple of 7 and (-4)\/22 - b\/(-77)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*l - 108 = 23*l - 28*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5\/6, 0, -18\/505609 in descending order.\nAnswer: 2, 0, -18\/505609, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -4*m + 130, -7*x + 130 = -3*x - 2*m. Let l = x + -14. Let h(o) be the first derivative of 2*o**3 + 4. Let d(z) = z**2. Give l*d(b) - 3*h(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 491*q = 445*q - 92 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + t + 4. Let y be z(-6). Suppose 64*q - 3010 - 7317 = 9257. What is the highest common factor of y and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4340 (base 5) in base 16?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24034, -23636, -23238, -22840?\nAnswer: -22442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -146.4 - -146.362975. Let k = 10.037345 + m. Let p = 10 - k. Round p to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -37*w - 20*w**2 + 37*w. Let a(v) be the first derivative of -36 - 35 - 2*v**2 + 16. What is a(z(t))?\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26872881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 2, n: 1, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/9 + -2 + 803\/(-33). Let a = v + 36. Is 10 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (0 + (sqrt(147)*1 - sqrt(147))*-4)**2 + 0 + ((sqrt(147) - -1*sqrt(147))*1)**2)*-2 + 5.\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3626 is divided by 227?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 275 - 119. Let d = -105 + n. What is the remainder when d is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - 0. Let q = -801 + 796. Sort 7, q, w.\nAnswer: q, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1003235 + -5?\nAnswer: -1003243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3672 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9c - -38?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(p*p\/p**(-1\/2))))**36)**(-3\/14)*((p\/p**(-1))\/p*p)**(1\/9)*(p*p**9)\/(p**(-1)*p) assuming p is positive.\nAnswer: p**(-571\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 18 - 618 = 0. Let b be ((-12)\/(6 + -3))\/(-2) + a. What is the highest common factor of b and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1090789 to the power of 1\/2, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 12:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3*(-9)\/((-567)\/(-56)). Factor 44\/3*y**2 - 12*y**3 - j*y + 0.\nAnswer: -4*y*(y - 1)*(9*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -15*d**3 + 0*d - 4*d - 25*d**3 + 3*d. Let w be x(1). Let o = 61 + w. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + 24*y - 28. Let x(o) = -o**3 - 6*o**2 + 5*o + 8. Let i be x(-7). Let t be q(i). What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7*7\/245)\/((-6)\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37 - 41. Put n, 5, 1\/4 in descending order.\nAnswer: 5, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3855563 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1812787 and 1209.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r = -2*r + 42 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 + -20. Does 17 divide (-4)\/(-22) - (-372)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 x when three letters picked without replacement from {b: 5, m: 1, j: 1, x: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 304123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5646*j + 19856*j + 14589*j.\nAnswer: 40091*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 558.837um to centimeters.\nAnswer: 0.0558837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 4*i - 8*i)*(-3 - 3*i**2 + 3)*(-2 + 2 - 3*i**2) + 2*i**5 - 2*i**5 - 4*i**5.\nAnswer: -49*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/(1989\/(-34)))\/(52\/(-6))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186*s**3 + 400*s**3 - 203*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*i**2*w**2 + 325*i**2*w + 12*i**2 + 7925*i*w**2 - 33*i*w - 77*i + 524*w**2 wrt w?\nAnswer: 22*i**2 + 15850*i + 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31839 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3.49451 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 15973+0.45\nAnswer: 15973.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68 - 21. Let m = 110 + -19. Let u = m - i. Round u to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 163688 and 112924.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 - 4\/16*2*2. Let s be -2 + 2*2\/4. Let k be (s + 4)*1\/(-1). Put k, y, 1 in increasing order.\nAnswer: y, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*u = 8, 2*u - 3*u = 4*n - 10. Let t(j) be the second derivative of -2*j + 0 + 2\/3*j**3 + 1\/2*j**2. Give t(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -69828*o + 69789*o - 1014 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70900 is divided by 1928?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*u + 17*u = 9154. Is 39 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - (0 + 24 - -4). Let m be 0*((-6)\/c + 76\/(-180)). Determine j, given that 5\/3*j**2 + m - 10\/3*j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23982, -47979, -71998, -96051, -120150?\nAnswer: -144307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 7:44 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 23*c + 19. Let g be h(13). Suppose -g = -5*v + 2*k, -2*v + 2*k = -0*v - 126. What is the remainder when v is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 10*x = -585. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2861 and -1.7.\nAnswer: -4863.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.509798 rounded to 2 decimal places?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206*z**2 - 156*z - 1497*z**2 + 116*z**2.\nAnswer: -1587*z**2 - 156*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/9425 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 232164035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.1 and -3.10807005919.\nAnswer: -1.00807005919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4418 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -8*u**2 + 2*u - 1. Let a(x) = -39*x**2 + 11*x - 4. Let n(g) = 4*a(g) - 22*j(g). Differentiate n(r) with respect to r.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 858490?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i + 1261 = 1237 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -4*w - 19, -211*w + 193*w - 102 = 6*n for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -171\/5 - -9561\/280. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*t**4 - 3*t**4 + 2*t**4 + (461*t**4 - 5*t**3 + 5*t**3 - 31*t**4 - 57*t**4)*(-3 + 2 - 22) to f*t**2 + r*t**4 + a*t + c + x*t**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1.54, 42, -5?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of 3\/8*s**4 + 19*s**2 + 0*s**5 + 0*s + 0*s**3 - 1\/24*s**6 + 0. What is the second derivative of z(u) wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3814940 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/66*6)\/(10\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -386406\/5 or -77282?\nAnswer: -386406\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**4\/9 + 70*p**3\/9 - 68*p**2\/9.\nAnswer: -2*p**2*(p - 34)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 235 - 225. List the prime factors of 2*23\/(((-15)\/b)\/(-3)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144 and 132?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.39 - 0.11. Let q = 3540.602 - 3543. Let t = q - f. Round t to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -15\/2  (b) -1.4  (c) 0  (d) -2\/11  (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 5*h - 4. Let v be l(3). Let z be 5 + (v + -3 - -4). Is (-2)\/z - 628\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -4*d + 13. Let p(l) = 3 + l - 4 + 1. Let g(h) = 7*h + 3. Let i(z) = -3*g(z) + 24*p(z). Calculate -7*i(o) - 5*j(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 4*z**3 + 62972*z**2\/3 - 83980*z\/3 + 20996\/3 = 0.\nAnswer: -5249, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*h + 143041 = 144541 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1684236 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*b + 6*b = -14*b - 5*j + 2*j + 36, 4*b + j = -170 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 846 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3626 + -3625. Sort -0.11, 1\/7, p, 9\/7 in ascending order.\nAnswer: -0.11, 1\/7, p, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1481 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 4 = 0, -5*h = -5*d - 20 - 0. What is the units digit of ((-9)\/d - 4)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (108*t + 2942 - 2942)*(t + 2 - 2)*(-2 + 0 + 6) to the form d*t**2 + w + c*t and give d.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.57 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 + 52. Let r = z - 16.5. Let c = 0.41 - 0.01. What is the smallest value in 5, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 313.1.\nAnswer: 313.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4131\/923 - 58\/13. Let k = -76\/355 + v. Let m = 1 + -2. Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3123200000 (base 5) to base 15.\nAnswer: -878d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -11*s**3 - 65*s**2 - 14*s + 29. Let u(f) = -7*f**3 - 42*f**2 - 9*f + 19. Let b(o) = -5*c(o) + 8*u(o). Give b(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 254642, 254636, 254624, 254606, 254582, 254552, 254516?\nAnswer: 254474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2064\/19608 + (-194)\/38?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44550 and 6966?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-76)\/(-16) - 3)\/(1\/4). Suppose -m = 4*b - 1871, 2*m - 2320 = -5*b + c*m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 5, z: 5, w: 5, a: 2, b: 2}. What is prob of picking 3 b and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2 = -0. Let w be 163 + -3 + -1 + l. Calculate the highest common divisor of 23 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -201 - -117. Let y be (-4)\/12 - q\/(-18). List the prime factors of (-8)\/y*(0 + 25).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -5*g**3 - 4*g**2 - 4. Suppose -x + 3 + 1 = 0. Let d(l) be the third derivative of l**6\/120 + l**5\/60 + l**3\/6 - 18*l**2. What is x*d(y) + b(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/4 - 81601\/156*-33. What is the greatest common divisor of s and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.83096 + -174.24\nAnswer: -180.07096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y + 0*y - 4*y)*(11 + 124*y**3 + 4*y - 121*y**3 - 14 + (-2*y - 3*y + 9*y)*(3*y - 3*y - y**2)) to j*y + k + c*y**2 + h*y**4 + v*y**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1498627950 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2516 divided by 3\nAnswer: 2516\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-36)\/(-20) + (-130)\/(-25) + -5. Suppose -4*v + q + 3 = 0, 16 = v + 5*q - 11. Solve -v + t = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -16*a + 125. Let i be d(8). Let q(k) = -k**3 + k + 5. Let x(m) = -3*m**3 + 3*m + 11. Determine i*x(o) + 7*q(o).\nAnswer: 2*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/5 - 1582*a\/5 + 29124\/5.\nAnswer: -2*(a - 18)*(a + 809)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -11.7, 2.8, -5?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 624*r + 0 + 3 - 627*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-225)\/(-1) - (-6 + 7 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5873583.\nAnswer: 3, 1957861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56582 - 10*f + 12*f - 27367.\nAnswer: 2*f - 83949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 2 y, and 1 m when four letters picked without replacement from {m: 1, a: 2, y: 4, w: 8, j: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3795774941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**5\/20 + 5*v**4\/12 - v**3\/2 - 5*v**2\/2 - 5*v. Let r be c(4). Let k = 7 + r. Solve -k*l + l = 5*q - 10, 0 = 4*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 3*h**2 - 3*h. Let r be k(-2). Suppose -2*m + 39 = 3*y + 2*m, -40 = -2*y + r*m. Calculate the highest common divisor of 187 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -491729.\nAnswer: 3\/491729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + z = -2*k - 4205, -z + 847 = k. Suppose -5*u - r + 1059 = -3*r, 4*u + r = k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21102 - -12315?\nAnswer: 33420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*-1*(-1449454)\/(-114002)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 2*f - 17 = 0, 2*s - 3*f + 8*f = 26 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ysoybbhbmoym. Give prob of picking 1 m and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0133 and -947767.\nAnswer: 12605.3011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17413 is divided by 405.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53 + 5*z - 113 + 54*z + 60.\nAnswer: 59*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 123304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-33)\/(-18))\/((-2)\/(-12)). Suppose i*s - 1153 + 108 = 0. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112 and 1894592?\nAnswer: 1894592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -814746 bigger than -814785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 268905.\nAnswer: 3, 5, 7, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4187 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -38.8  (b) 11874  (c) -5  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11113032 (base 4) to base 5.\nAnswer: -1200331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**4 + 72*d**3 + 1596*d**2 + 6272*d = 0. What is d?\nAnswer: -7, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 892 + -610. What is the least common multiple of m and 329?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75*s*y**2 + 379*s*y - 101*s + 258*y**2 + 3*y - 2 wrt y.\nAnswer: -150*s + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (452*(-5)\/10)\/(2*-1) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 4*r + 4. Let s(q) = -q**2 - 17*q - 16. Suppose -v = -4*k + 10, -4*k = 8*v - 3*v + 2. Let m be 3\/(-2 + 5)*-9. Let d(w) = m*j(w) + v*s(w). Factor d(u).\nAnswer: 2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 - -20. Solve 4*p + 3*n - q = -2*n, 2*n - 15 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*o = -16, 0 = -2*z - 3*z + 4*o + 56. Let x(b) = b**2 - 2*b + 6. Calculate the lowest common multiple of z and x(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/3)\/((-560)\/(-120))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 193 - 187. Put 2, 1, s, 4 in ascending order.\nAnswer: 1, 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 3:11 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8 - 7) + (-6)\/(-2). Suppose -3*a - j*l + 82 = 0, a = -2*a - 3*l + 84. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v**3 - 10*v**2 - 7*v + 6. Let u(h) = -3*h**3 - 12*h**2 - 8*h + 7. Let q(c) = -7*n(c) + 6*u(c). Let d = 174 - 173. Calculate q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 240, 542, 868, 1218?\n\"Answer: 12*r**2 + 266*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i - 10. Calculate the remainder when s(8) is divided by (27 + -3)*(-2)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v**2 - 3 - 55577*v + 55577*v + 17 in the form t*v**2 + z*v + n and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c - 4. Let l(y) = 2*y - 3. Let o(f) = 6*l(f) - 5*s(f). Let d(t) = -t**3 + 3*t**2 + 4*t - 9. Let k = 21 + -18. Let m be d(k). What is o(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*g**5*z - g**3*z - g**2*z - 332*g**2 wrt g?\nAnswer: 1080*g**2*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 2\/285677, 0.4.\nAnswer: 2\/285677, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*v - 2. Let l(z) = -z + 1. Let u(g) = -3*g**2 - 7*g + 7. Let t(j) = v*u(j) + 6*l(j). Suppose 35 = 53*n + 34 - 105. Give t(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1877*c*q**3*y**4 - 1058*c*q**3*y**3 + 2270*c*q**3*y - 37*q**3*y + 2*q*y**2 wrt y.\nAnswer: -45048*c*q**3*y - 6348*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1522 divided by -63.\nAnswer: 1522\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 11*n - 3. Suppose -71 + 6 = -13*t. Suppose -m - t = a, a = -5*m - 3*a - 29. Determine o(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 8*b + 26. Let f(n) = -3*n - 9. Determine -14*f(x) - 5*m(x).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2. Let x(u) = 6*u - 4*u - u. Let j(r) = r. Let v be 30\/(-8) - (-15)\/(-60). Let p(q) = v*x(q) + 6*j(q). Give d(p(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 115899?\nAnswer: 3, 7, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5552.14057 rounded to the nearest ten?\nAnswer: -5550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l - 9. Suppose -2*d + 35 = 3*d. Let n be f(d). Suppose -3*i = n*u - 20, i + 0*i = -u + 6. Calculate the greatest common factor of 40 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1051930)\/25 - -2)*375\/6. Round l to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j + 280 = 15*j. Suppose -6*d = -2*d - j. Let f = d - -56. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 929 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66786 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -5663  (c) -890\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 6*g = -1936. Find the common denominator of 53\/20 and g\/(-360) - (-2)\/(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (65 - 46) + -9 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 1)*(0 + 82 + 276)*(y**2 - y**2 - 5*y**2).\nAnswer: -1790*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 151*r - 3156. Give p(17).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2439 divided by -3?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8646282722 to the nearest integer?\nAnswer: 92985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/15 + 8\/12.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 4. Let x(f) = -2*f**2 - 11. Let d(a) = -11*g(a) + 4*x(a). Let v(o) be the second derivative of o**4\/6 - 106*o. Calculate v(d(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 11*q - 61. Calculate j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - 0. Let c be (-448)\/(-140) - 5 - 41\/(-45). Is c greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 - (-34)\/(-14) - (-29)\/(290\/50). Which is the nearest to 0.1?  (a) -2  (b) -0.4  (c) u  (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(480)\/sqrt(10))**2 + sqrt(75) + 0.\nAnswer: 5*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 - 32. Solve 5*f + 1 = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 - 122*h + 112. Calculate the least common multiple of 40 and t(-54).\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d = 6*d + 5. Let h = -288\/1703 + 2\/131. Which is the smallest value?  (a) -0.5  (b) d  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 531, 3489, 8419, 15327, 24219, 35101?\nAnswer: 47979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -120*i*j - i - 17 wrt j?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*l - 146 = 76 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 478 + 573. What are the prime factors of i?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1541268 and 7242.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 + 74. Suppose b*z + 8 = 0, 8*z - 3*z + 240 = 2*o. Let q be 4\/(-10) - (-161)\/o. Solve 2*j + q + 5 = -3*m, 0 = 3*m - j - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 610324 and -113009.\nAnswer: 497315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, u: 1, q: 1, b: 1, w: 2, o: 1}. Give prob of sequence okw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5797 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 276 - 134 - 270*l - 141 to i + y*l and give y.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 8:31 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-120)\/36*(-6)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*p = 395 + 37. Suppose 3*j - 138 = -3*z, -2*j + 170 = 4*z - 12. Calculate the highest common divisor of z and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1689 is divided by 285.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/18491 + -18495\/36982. What is the third biggest value in -422, -0.1, c, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15674 - 15944.94. Round o to zero dps.\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -24*q**2 - 189*q\/2 + 6 = 0. Calculate q.\nAnswer: -4, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4*q**3 + q + 4. Let x = -24 + 32. Let w(m) = 11*m**3 - m**2 + 2*m + 11. Let o(h) = x*j(h) - 3*w(h). Determine o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + -3 + 14 + (6 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d + 0*d + 0*d + (-d + 3*d + 0*d)*(2 + 5 - 2).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 4*b - 236 = 0, -242 = -4*u + 4*b - 2*b. Does 60 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1590556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of -p**5\/20 - p**4\/12 + 12*p**2 + 8*p. Let t be i(0). Solve w - 4*w - 24 = 3*m, 2*m = -4*w - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - 68\/10) + 0\/(-2). Let n = 0.01 + 4.99. What is the biggest value in n, q, 4\/19, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1020*y = 17966 - 1646 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10555230 (base 6) in base 16?\nAnswer: -4fb42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6319 and 34719?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -1710475.\nAnswer: 1\/1710475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (0 + -10 + 9)) + 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35.35 - 3.55. Let a = z - -5.2. Let x = -36.9973 + a. Round x to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 3:49 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = 17431 + 6869. What is the highest common divisor of 120 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 0, -4, -236377, 4 in decreasing order.\nAnswer: 4, 1, 0, -4, -5, -236377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from iniiv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.7 - 2. Which is the third biggest value?  (a) -3  (b) -5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1009  (b) 3  (c) 2  (d) 755  (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 132*d**2 - 10*d - 489. Let o(w) = -7*w. Give a(o(z)).\nAnswer: 6468*z**2 + 70*z - 489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2311*t**2 + 2086*t**2 - 4396*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 3. Let m be ((-4 + -2)\/1)\/(28\/(-7)). Let r = 0.04 + 0.16. Which is the closest to r?  (a) -2\/9  (b) m  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28900640.\nAnswer: 2, 5, 180629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -p**2\/2 + 3*p - 93958. Suppose -z - 5 = -0*z. What is f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 (base 16) in base 7?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 119810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(2 + 1) - -2. Let c be (-107)\/5 - t\/(-5). Let h = c - -29. Calculate the remainder when 23 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 0 + 0*r - 2*r - 2 - 2*r. Let i = 15 - -22. Let y = -40 + i. Let t(a) = 3*a + 2. Calculate y*t(q) - 2*k(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-80)\/(-25))\/((-7)\/(-5) + -1). Suppose 12*j = l*j + 56. Suppose -2*n = -4*q - 50, 82 = 2*n + 5*q + j. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxmxxrrg. What is prob of picking 1 x, 1 g, and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -524760054.7 to the nearest 10000.\nAnswer: -524760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*s - 75*s + 17550 = 0. Calculate the least common multiple of s and 11.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 5 - 19*o - 50*o + 21 - 51*o. Let f be r(4). Is f less than -454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 58 + 104 = 0. Suppose -1197 - 1903 = -62*n. Let g = j - n. Are 7 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of 15 - 23\/2*o**2 + 0*o**4 + 27\/5*o**5 + 0*o + 0*o**3. Find the second derivative of r(s) wrt s.\nAnswer: 324*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 20*d**2 + d - 1. Let q = 2 - 0. Suppose -c = -q*c + 1. List the prime factors of a(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**3 - 44*o**2 - 94*o - 46. Let n be y(24). Let k(a) = 2*a**2 - 7*a + 4. Let d be k(4). Solve d = -n*r + 2*q, 0 = -3*r - 0*r - q - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - f + 161. Give s(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -199*t**3 + 13*t**4 + 201*t**3 - 42*t**4 - 6*t - t**2 - 1 to l*t**3 + a*t**4 + f + k*t**2 + h*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -4.8. Let t = p - -0.1. Round t to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74106003.\nAnswer: 3, 229, 269, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 2*q**2 - q. Suppose 4*z + 5 - 37 = 0. Suppose -z = -3*m - m. Give t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 14*u**2 + 2*u + 32. Let p be f(-14). Let i be (p\/16)\/(1\/4). Suppose -2*d = d. Sort i, d, -2.\nAnswer: -2, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 131*p**3\/3 + 143*p - 12. Differentiate b(r) with respect to r.\nAnswer: 262*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -5*t**2 + 7*t - 4. Let z(b) = -11*b**2 + 15*b - 9. Calculate 9*u(k) - 4*z(k).\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/16)\/((-10)\/48). Suppose -b - 4*h + 22 = 0, 4*b + 0*b - h = 20. Suppose 10 = 4*a + b. Is a less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1778 - -19614\/11. Let y = -31835\/11 - -2899. Find the common denominator of y and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 316364?\nAnswer: 2, 139, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704) - (1*(2 + sqrt(704)))**2 - (-6*((sqrt(704) - (sqrt(704) - sqrt(704)*-1)) + sqrt(704)))**2)*-5.\nAnswer: 120*sqrt(11) + 3540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, l: 15}. What is prob of sequence nn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 154200132. Let t(d) = -3*d. Give r(t(b)).\nAnswer: -9*b**2 - 154200132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41 (base 12) to base 15.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 10:33 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12330322 (base 4) to base 11.\nAnswer: 1a436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v - 2 + 2)*(35924 - 64409 + 17324 - 98511 - 80560 - 39747) to the form m*v + i and give m.\nAnswer: -459958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 + 4*s - 19. Let h be g(3). What is the nearest to -2\/5 in 3, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18\/13 + -50\/39. Let c(f) = f**2 - 18*f + 20. Let p be c(17). What is the nearest to -1 in 1\/4, p, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from {h: 3, w: 2, u: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8 + -3 + (-2 - 1). What is the units digit of u\/6 + 6\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 9. Let p be q(-4). Let f = p + -5. Solve 0 = -3*m - 4*b - 3, -f*m - 1 = 2*b + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of y**8\/560 - 3*y**7\/350 + 3*y**6\/200 - y**5\/100 + y**2. Let v(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113 - -172379595041.\nAnswer: 172379594928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32.19 - -0.19. Let r = i - -31. Let g = -4.5 + 4. Sort g, 3\/4, r in decreasing order.\nAnswer: 3\/4, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02747+-9327109620\nAnswer: -9327109619.97253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + 5*q**2 + q. Suppose 0 = -4*t + 21 - 109. Let f be t\/5 - 9\/15. Give d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at least 19\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27e29d (base 16) to base 8.\nAnswer: 11761235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1226 and 8.\nAnswer: 4904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3206 - 25206?\nAnswer: -31415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 2*z + 11 = 4*c, -4*c = 3*z + 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 121666*k**2*m**2 - 9*k*m**2 - 2*k + 4170*m**2 wrt k.\nAnswer: 243332*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -68, -222, -448, -722, -1020, -1318?\n\"Answer: 4*s**3 - 60*s**2 - 2*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -7*z. Let i(p) = -3*p - 3*p + 5*p + 0*p. Calculate l(i(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -1 + 6. Let f = 3 - m. What is the highest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 5*p**9\/3024 + p**6\/120 - 2*p**3\/3 + 1. Let i(g) be the third derivative of y(g). Find the third derivative of i(l) wrt l.\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 174 divide 4571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(3 + -2 - (-5)\/((-15)\/(-6))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -645 + 209 + 218 - 4*d + 218 - 15*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -5*b**2 + 56*b - 4. Let a be s(11). Let l(g) = -222*g**2 - a + g**3 + 0*g**3 - 2*g**3 - g + 10*g + 224*g**2. Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -11, -27, -53, -89?\n\"Answer: -5*s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18191438 divided by 135757.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3*m + 5718 = 0, 4*m + 11416 = -34*u + 36*u. List the prime factors of u.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d + 114163 = -67*d + 110263 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = q - 0*q. Suppose 4*o + q*i - 82 = 10, -4*o = i - 76. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4*c**3 - 446*c**2 - 225*c + 180. Suppose 6*o - 29 = 3*o - s, -3*s = 2*o - 17. Calculate the smallest common multiple of o and f(112).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*a + 4*a + 2*a**2 - 3*a**3 - 3 + 12*a to v*a**2 + t*a**3 + o*a + c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of 496*v**3\/3 - 445*v**2 - 3*v + 54. Differentiate k(p) wrt p.\nAnswer: 992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) - (sqrt(363) + 2*sqrt(363)*1))**2 + 1 + ((sqrt(75)*1 - sqrt(75) - sqrt(75) - sqrt(75))**2 - sqrt(18)\/(sqrt(6) + sqrt(96))) + -2.\nAnswer: -sqrt(3)\/5 + 1751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*b + 16519 - 26471 = 3240*b + 17993 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 6*k = 2*a + 31, -4*k + 33 = -a. Suppose 6195 = k*c - 26187. Is (2\/(-2*1))\/((-9)\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 130\/(-13) - (((-8)\/10)\/1)\/((-308)\/(-6380)). Factor -u*z**3 + 0 - 242\/7*z - 2\/7*z**4 - 286\/7*z**2.\nAnswer: -2*z*(z + 1)*(z + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12467*a - 54106339 + 54106339)*((2 - 2 + 2*a**2)*(3*a + a - 2*a) + 2*a**3 + 10 - 10) to the form d*a**3 + f*a + l*a**4 + g + q*a**2 and give l.\nAnswer: 74802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1637591971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25973684 and 4180.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -14, -27.45, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*o**2 - 10*o**2 + 6*o**2 + 55 + 60*o - o**2.\nAnswer: 5*(o + 1)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 2*a - o - 22, -5*a - 2*o + 16 = 0. Let t(h) = -h**2 + h + 3. Let q be t(3). Sort q, -1, a in ascending order.\nAnswer: q, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21758.\nAnswer: 2, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11120 - -12?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 divided by 2111?\nAnswer: 71\/2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/9 - (-75)\/27. Let a = n + -1. Solve 0*x = 2*r + a*x + 16, -4*r = -3*x + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*s = -s + 510 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 199 - 196. Let y be (-17)\/z*3\/(-1). Calculate the highest common factor of y and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of -4\/3*y**3 - 3 + 0*y**4 + 4\/5*y**5 + 0*y**2 + 0*y. Find i, given that t(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1035919 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -460161 = 5*p - 153661. Round p to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-5*(sqrt(891) - sqrt(891)*2) + sqrt(891))*1.\nAnswer: 3 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.5  (b) -0.2  (c) 3226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 805 = 35. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**3 - 3*f - 665 + 665 - 14*f**4 to p*f + y + q*f**2 + z*f**3 + c*f**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -218, -172, -96, 10, 146?\n\"Answer: 15*i**2 + i - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**4*x**3 + 294802*r**2*x**3 - 19164*r*x + 42*x**3 - 2*x**2 wrt r?\nAnswer: -48*r**2*x**3 + 589604*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21 + -18. Which is the third smallest value?  (a) 2  (b) 0.4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02170845419 to five decimal places.\nAnswer: -0.02171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1854 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -571*p**2 - 4*p + 4*p + 568*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 45 = 7*i - 3*i, 2*i = -4*n + 36. Put 5, -5, 0, n in decreasing order.\nAnswer: n, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 1:17 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -7*y**3 + 4*y**2 - 13*y - 4. Let d(q) = -7*q**3 + 5*q**2 - 12*q - 5. Let c(p) = -4*d(p) + 5*o(p). What is the second derivative of c(n) wrt n?\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132.96 nanograms to kilograms.\nAnswer: 0.00000000013296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -9*p**2 - 5*p + 7. Calculate d(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(-20)*q**(-3\/22) assuming q is positive.\nAnswer: q**(-421\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 71  (b) -0.3  (c) -5  (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 469587405?\nAnswer: 3, 5, 7, 4472261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -49  (c) 131580.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of -n**6\/120 + n**5\/6 - 3*n**4\/8 + 4*n**3\/3 + n**2. Let m be 1410\/48 - (-24)\/(-64). Suppose m*t + 14*t = 387. Determine b(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60248 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 3*d + 10 = -9, -3*u - 2*d = 0. Suppose -3*b + 34 = u*i - 3*i, 2*b - 17 = -5*i. What is the greatest common factor of b and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 - 336950*u - 28383825625.\nAnswer: -(u + 168475)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/7 in 3, -7, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 PM and 8:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -13*q - 1. Let u be t(1). Let m = u + 14. Suppose 2*h + 4*n - 26 = m, 0 = h - 4*n + 3 + 2. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 996689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 444282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 51*w - 1520181 + 1516509 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 948 - -0.22274.\nAnswer: 948.22274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248845 is divided by 1295.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (48475\/(-16875))\/7 - 6\/(-14) and -1\/6.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 21*s**3 + s**2 - 5*s - 5. Let n be p(3). Let v = n + -205. Calculate the highest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21509 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21871891, 21871887, 21871881, 21871873?\nAnswer: 21871863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.43*2\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**2 - 3 + 3*d**2 - 3 + 7*d + 0*d**2. What are the prime factors of t(-11)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-5))\/(12\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*(-5 + (sqrt(1088)*1*-6 + sqrt(1088))*-4*4))**2 + 1.\nAnswer: -15360*sqrt(17) + 27852837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 16*y - 10. Let x(m) be the third derivative of 5*m**4\/24 - m**3\/2 + m**2. Let t = -48707 + 48701. Calculate t*u(k) + 20*x(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -699, -255, 189, 633, 1077, 1521?\n\"Answer: 444*b - 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 597433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10 - -8) + 5 + 0\/(-1). Factor 0*s**2 + 0 - 3\/4*s**v + s + 1\/4*s**4.\nAnswer: s*(s - 2)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4805213681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 2 - 2 + (3 + 3 - 5)*(-4*l + 2*l + 0*l) + 0*l - l + 2*l + 7 - l - 7)*((-5 + 3 + 3)*(-12 + 24 + 28) + 2 + 2 - 5).\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2303253 - 2*w**3 + 2303253 + 3*w + 3*w**3.\nAnswer: w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -270 - -270.4. Sort -60, -5, v in ascending order.\nAnswer: -60, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/3)\/m**0)\/(m*m**(-2))**(-26) assuming m is positive.\nAnswer: m**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00139245857 rounded to 5 dps?\nAnswer: 0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 i, and 1 z when four letters picked without replacement from zliejil.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmppmpppppmpmpmp. What is prob of picking 1 m and 1 p?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75*g*p**3*s**3 - 3*g*p**3*s + 4*g*p**2*s**3 + 12*g*p**2*s + 2*g*p*s**3 + g*s**3 + p**3*s**3 wrt p.\nAnswer: -450*g*s**3 - 18*g*s + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*i**3 + 6*i**3 + 1 - 10*i**3 + 35*i**4 - 48*i**2 - 2*i**3 wrt i?\nAnswer: 840*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 6*p - 336 = -3*c, 0 = 4*c + 3*p - 438. What is the remainder when 409 is divided by c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18.15 * 0.2\nAnswer: 3.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*w + 1630 = 157*w - 9*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176*r = 112*r - 1984 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -37 - 6ab1?\nAnswer: -6ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/4, -1889.7, -0.1?\nAnswer: -1889.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 29586545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*t - 330*t + 642 = 0. Factor -94\/7*s**2 + 0 - 48\/7*s - 44\/7*s**t + 2\/7*s**4.\nAnswer: 2*s*(s - 24)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/245 and -139\/42.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3587 - 13*v**2 + 1002156*v - 1002269*v - 5*v**2 with respect to v.\nAnswer: -36*v - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*c - 96 + 348. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g - 7. Let v be y(7). Suppose -s + v*s + 2 = 0. Find the second derivative of 2*f**2 + 2*f - 3*f + 0*f**s wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1467 - 1472. Let a(d) = 7*d**2 - 2*d - 5. Let g(t) = -6*t**2 + 2*t + 4. Determine q*a(p) - 6*g(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + -1 + (5 - -1). Suppose -2*s + 4*s = 5*g - 17, -s = 2*g - 5. Solve -3*a + g = -n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11994 - -11998. Solve -2*v + 3*o = -1, -7*v + k*v = 5*o - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**5\/10 - 2813*l**4\/10 + 5607*l**3\/10 + 42161*l**2\/10 + 5632*l\/5 - 5622 = 0. Calculate l.\nAnswer: -2, 1, 5, 2811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3799 + 6029 = 14*x. What is the highest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-469)\/(-6) - (-7)\/(-42). Let h be (-16)\/(-64) + a\/8. What is the first derivative of -2*q**4 - 5*q**4 + 2*q**4 + 0*q**4 - h wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*q - 2*q + q)*(1 - 2*q - 1) - 310429 + 310429 - 555*q**2 + q**2 + 4*q**2 - 3*q**2 in the form b + k*q**2 + s*q and give k.\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -1268*z + 1270*z, 3*l = -4*z + 82944. List the prime factors of l.\nAnswer: 2, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -x - 0. Let y = x - 2. Let n be (-72)\/(-300)*55\/99*3. What is the closest to 1 in -1\/3, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 - 1. Suppose -5*r = -0*r. Suppose -5*t + r = 5. Let w(c) = -c**3 + 5*c**2 + 5. Determine t*w(y) - 3*x(y).\nAnswer: y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -c**3\/2 + 8199469*c**2\/2 + 40997395*c = 0.\nAnswer: -10, 0, 8199479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ijii when four letters picked without replacement from {w: 4, i: 4, t: 5, j: 6}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*p**4 + 0*p**4 + 2*p**4)*((0 - 27 + 14)*(1 - 4 + 1) + (7 + 2 - 3)*(4 + 0 - 3))*(-3 + 2*p + 3).\nAnswer: -320*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105 - (-4)\/3*(-7 + 10) is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2173644 divided by 5.\nAnswer: 2173644\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4 + 0 = 0. Let u be (-18 - -13)*(-2)\/20. Factor -u - d - 1\/2*d**b.\nAnswer: -(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 356 divide 1394069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - (-2)\/(-2)*-35. Suppose -4*n + 236 = -r. Let y = 38 + -21. Calculate the highest common factor of y and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-14 + 3)) + 4 + (2 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.291264 and -200.9?\nAnswer: -58.5149376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-5 - -1) - (3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -12. Suppose 5*k - 20 - 415 = -a*d, 4*d = -4*k + 852. Calculate the highest common factor of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 + -7)*(0\/9 - -2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-14) - 16\/(-7). Suppose -i*c - t - 8 = -4*t, -3*t + 10 = -c. What is the second derivative of 11 + c*r - 3*r + r**4 - 11 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64672356 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 60 + 6*y - 60 as o + d*y and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0 = -3. Let m(p) = -2 + o - p**2 + 5 - 12*p. Is m(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-3 - -5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2\/5 - 5992*x\/5 + 17796.\nAnswer: 4*(x - 1483)*(x - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6349850*d**3 + 53241327*d wrt d.\nAnswer: 38099100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49552 = 456*v - 34960 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 16. Suppose 3 = 2*a + 3*y, -5*y = 5*a - 2*y + 6. Sort a, k, 0 in descending order.\nAnswer: k, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 8, o: 1, m: 11}. Give prob of picking 3 m and 1 o.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/(-6))\/(-1))\/(2\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {u: 4, n: 5, a: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m + 3*m + 17*m - 5*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1084440, 2168907, 3253374, 4337841, 5422308?\nAnswer: 6506775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 g, and 1 f when four letters picked without replacement from foddfoggg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 5) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2, 28, 78, 152, 250, 372, 518?\n\"Answer: 12*g**2 - 10*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1464.972 - 0.5.\nAnswer: -1465.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -111226*c**3*s**2*w + 4274*c**3*w**2 + 69*c**2*s*w - 107*c*s**2*w**3 + 6*w**3 wrt s.\nAnswer: -222452*c**3*w - 214*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 227406203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 - 1)*(41*s**3 - 3841*s + 10 - 9 + 3827*s).\nAnswer: 82*s**3 - 28*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1044 - 6231222?\nAnswer: -6230145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 8*x - 5. Let m be l(-7). Suppose -5*o - n = m*n + 31, 5*o + 5*n + 35 = 0. Sort o, -3, 2 in descending order.\nAnswer: 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d + 5*q + 5, -109*d + 108*d - 10 = 4*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of 2*k**6\/75 - 4*k**5\/25 - 11*k**4\/15 - 4*k**3\/5 + 300*k. Determine q, given that z(q) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -3*m - 11. Let u be l(-8). Solve 4*q - 37 = -5*k, 3*k + q - 5 = u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n + n - n + (2*n - 3*n - n)*(1 - 3 - 3) + 0*n + 3*n - 2*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2242 divided by 1121.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 2\/119, -24, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 230 or 216?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/((r*r\/(r*r**(-6))*r)\/r)*r)\/r*r**(-6)\/r*(r\/r**(-2\/5))**4*(r\/(r*r**(-2\/3)\/r))**(3\/11)\/(r\/(r**(-1\/4)*r)*r\/r**(-6\/5)) assuming r is positive.\nAnswer: r**(-2067\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -49 + 65. Let r be (-9)\/72 + 322\/z. Suppose -3*c = -0*q + 3*q - 24, -2*q + r = 3*c. Solve 4*w - t - 24 = -8, -16 = -c*w + 5*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.2+-1236.85\nAnswer: -1234.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (113*g + 130*g - 54*g)*(0*g + 1 - 2*g + g) to z*g**2 + h + q*g and give q.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(49)\/(sqrt(21)\/sqrt(3)))**2 + 2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.01 - 0.38. Let h = o - -0.07. Let m be (9\/10 - 1)*4. Put m, 2, h in ascending order.\nAnswer: m, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 2*b - 286 = -74, 15 = -5*b. Suppose 3*d = -2*r - v + 21, 10 = -5*r. Let k = 50 + d. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 616307484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-51)\/(-459)*3\/(-2)*(-1544)\/579\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 w when three letters picked without replacement from {s: 1, w: 3, d: 1, y: 6, p: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 7*r - z - 1384, 0 = -4*r + 4*z + 2764. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11642 - 8*o + 5872 - 5*o + 5770.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 366 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -11*w**3 + 10*w**2 - 25*w - 122. Does 78 divide p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(1\/4)*m)**30\/(m\/(m*m\/m**(-2))*(m**(-1\/3)\/m)\/m)*((m**(-1\/4)*m)\/m)\/m**3*m\/m**6*m*m\/m**(1\/3)*m assuming m is positive.\nAnswer: m**(389\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6487, -7768, -9909, -12916, -16795, -21552, -27193?\nAnswer: -33724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3 + 5 + 0 + l. Let f be h(-7). Let g = -160\/7 - -12626\/553. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17647556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -1\/12*f**3 + 3 - 1\/4*f + 1\/4*f**2. Determine s so that a(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -6*h - h. Suppose 2*u - s = -3*s + h, -3*u = -4*s + 4. Suppose 0 = 2*o + 4*g - 106, 3*g = -u*o + 3*o - 114. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3168024 divided by -5\nAnswer: 3168024\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v + 6. Let s be p(7). Let g(i) be the second derivative of i**4\/4 + i**3\/6 + i**2\/2 + i. Is g(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 1984897?\nAnswer: 198489.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7, y: 3}. Give prob of picking 2 d.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39942*b**2 - 104424*b wrt b?\nAnswer: -79884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - (-22)\/(-4))*-2. What is the third derivative of -r**6 - 9*r**6 + 2*r**2 + k*r**2 wrt r?\nAnswer: -1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0072844 rounded to 4 dps?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 192786 take away -421?\nAnswer: 193207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27120 + 59571. List the prime factors of q.\nAnswer: 3, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddl when three letters picked without replacement from llllllldllllllllllll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.9595444 and 42682.1.\nAnswer: 42683.0595444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -186 and -0.3.\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -4*g**2. Let u(y) = -659065*y**2. Calculate u(t(q)).\nAnswer: -10545040*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 654.\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -965 - 1363. Let t = 3869 - h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from rymrmmrm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29722 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - 5358101264.\nAnswer: -5358101277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(50))**2*1.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/20 - 57\/12. Let r = s + 7. Suppose 0 = -4*a + 2*g - 3 + 83, 52 = 2*a + 2*g. Calculate the lowest common multiple of r and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -7*c**4\/24 + 5*c**2 + 21*c. Let n(z) be the first derivative of b(z). Let d(o) = -3*o**2. Determine d(n(x)).\nAnswer: -147*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7 - (-39)\/(-6))*2116. Let q = 1832 - x. List the prime factors of q.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/9, -0.2, -3\/5, -2\/15, 0.1 in descending order.\nAnswer: 4\/9, 0.1, -2\/15, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-333)\/(-15) - (-2)\/(-10). Suppose -48 - g = -5*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2303 = 4*l, 2276 = 4*l - 16*p + 12*p. What are the prime factors of l?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence quq when three letters picked without replacement from qqqqqqquqqqqqqqqqquq.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-2 + sqrt(1100) + 1 - sqrt(1100)) + 2 + 2 + (sqrt(1100) - (1*sqrt(1100) + sqrt(1100) + sqrt(1100) - sqrt(1100))) + 2)**2.\nAnswer: -140*sqrt(11) + 1149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/8850 and 83\/15558?\nAnswer: 22948050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/((t*t*t\/t**(2\/5)*t)\/t))\/t**(3\/4))\/(t**(-5\/3)*t**(3\/8)) assuming t is positive.\nAnswer: t**(-127\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*y**4 + 157*y**3 + 19*y**2 + 13 wrt y?\nAnswer: -48*y + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*m, 2*g - 14 - 49 = -5*m. Let s = g - 14. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 78 and 1526499?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 11 = -y, 5*y = -4*g + 2*y - 7. Let p be 21\/g*3*2\/(-3). Round p to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30232*a**2 + 45*a - 1?\nAnswer: -60464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(5) + sqrt(25)\/sqrt(5)) + 5*sqrt(15)\/sqrt(3) + sqrt(35)\/(sqrt(252)*-1).\nAnswer: -19*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 0, -11 + 1 = -2*x - 5*g. Let f be x\/(-15) - 1928\/(-6). Suppose -f = -5*r - 36. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 81, 6, 45, -1, 5 in descending order.\nAnswer: 81, 45, 6, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -667 - -671. Let c be 97 - (5 + j - 12). Solve -c = 3*q - 103 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373784350 divided by -5?\nAnswer: -74756870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19383 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a + 2*a - 40. Suppose 0 = -5*q - 20, a = v + 3*v - 5*q. Solve 0*f + 5*f - 3*s = 7, f + 3*s - 5 = v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -4*m + 12. Suppose 4 = 4*q + m. Let f be -6*16\/(-54) + q. What is the third smallest value in f, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25*n**2 + 109*n - 216*n + 105*n + (-2*n + 0 + 0)*(0*n + n + n) + 21*n**2 - 15*n**2 + 4*n**2.\nAnswer: -19*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 15\/10 - 1\/2. Suppose -4*t + 5 = -k, 3*t + s = -k + 5*t. Suppose -2*b - k*y = 3*b, 0 = b - 5*y - 28. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6*r + 14. Let k be q(6). Suppose m - 3*j + 7 + 9 = 0, -5*m + 5*j = k. Let h(t) = -t**2 - 6*t + 10. What is h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21152420?\nAnswer: 2, 5, 17, 62213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(847) + 2 + (sqrt(847) - sqrt(847)*-1) + 1 + 3 + 4)**2.\nAnswer: 594*sqrt(7) + 7704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 738595829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.52568 to 3 decimal places.\nAnswer: -0.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -48 - j**3 - 9 - 2*j + 3*j - 54 + 4 to t*j**2 + r*j**3 + q + f*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 43*s - 6. Let q be f(-6). Let v be (-3 - -2)\/(36\/5184). Let m = v - q. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15148, -15145, -15142, -15139, -15136?\nAnswer: -15133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 25*t**2 - 65*t - 32. Calculate v(22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -66*t + 2. What is the hundreds digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1216))**2 + 5 + sqrt(19)*-2.\nAnswer: -2*sqrt(19) + 1221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 18 = -v. Let t(a) = -99 - a**2 - 9*a + 212 - 109. Let b be t(v). Solve 0 = b*w + 2 + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4705 + -2643. What are the prime factors of z?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 193*z**3\/3 - 106*z + 318. What is the first derivative of i(d) wrt d?\nAnswer: 386*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 311, 1279, 2907, 5195, 8143, 11751, 16019?\nAnswer: 20947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6340763.\nAnswer: 11, 13, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 362 (base 8) in base 9?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -73*a**2 - 10693*a + 5559. What is z(-147)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -31 divided by 26728\nAnswer: -31\/26728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100721, -201463, -302221, -402995, -503785, -604591?\nAnswer: -705413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*a - 1942*a + 27810 = 1247*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3*x**2 + x - 10. Suppose -80*p + 56*p = 82*p - 44308. What is the remainder when p is divided by z(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*c - 28*c - 59685 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + m + 2*m**3)*(-2 + m + 2) - 57*m + 3*m**4 + m**3 + 57*m to t*m**4 + o + f*m**2 + a*m**3 + n*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 10 = s. Solve -13 = -2*f - 5*w, -4*f + 5*f = -s*w + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 6 = -4*m + 14, -2*m = -4*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 3*m + 12, -7*s + 6*s + 3*m + 18 = 0. Find the third derivative of -86*i**2 + 3*i**s + 3*i + i**6 - 85*i**2 + 158*i**2 wrt i.\nAnswer: 120*i**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2*m = 1672000. What is m rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -64940 + 64940.18. Let b = -7 - -4. Put r, b, -5, 1\/2 in ascending order.\nAnswer: -5, b, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 639337570?\nAnswer: 2, 5, 59, 541, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 28536 divided by -3\nAnswer: -9512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.933783287 - -1?\nAnswer: 0.066216713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 4*l**2 + 4*l + 388. Calculate the remainder when k(0) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 518915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -217.\nAnswer: 3\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0424723 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/11030 and 41\/100?\nAnswer: 110300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 7*u**2 + 30*u - 6. Let t(j) = 15*j**2 + 61*j - 12. Let s(z) = -13*k(z) + 6*t(z). What is the least common multiple of s(-6) and 16?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4337757.\nAnswer: 3, 19, 25367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 2*p**2 - p - 200. Determine u(0).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5\/4)\/((-2)\/(-8)). Suppose -2*u + 9 = -w, -4*w - 4*u + 24 = -0*u. What is the nearest to w in -0.1, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(33) - 5*sqrt(33)))\/sqrt(11))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1440)\/(-40)*((-40)\/15)\/8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1*2*sqrt(209))\/(sqrt(11)*3*3).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 214200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2. Let g(i) be the second derivative of -2*i**4\/3 - 5*i. Determine g(u(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 262 - 219. Suppose -n*x + 12*x + 558 = 0. What is the smallest common multiple of 658 and x?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 2*z - r + 1240, 5*r + 310 = z. Solve -z = 58*t + 154 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(1 + (-423)\/(-18) - (-15 - (-10 - -1))).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3125*x - 2*x**2 + 1559*x + 9*x**2 + 1565*x.\nAnswer: 7*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 5:48 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2503\/40755 - -1\/1235. Let m be (-4)\/5 + (-49)\/35*-2. Suppose -9 = -3*h - 6*x + 9*x, -m*x - 10 = 2*h. Are r and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express m + 48003 - 2*m - 47002 in the form r*m + h and give h.\nAnswer: 1001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 1 - 10 + 13 + 5*g. Let s(l) = 5*l + 5. What is -3*s(o) + 4*t(o)?\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/4913343 and 11\/1593?\nAnswer: 14740029","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 37*h**2 + 72*h - 73. Give d(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3031857774 to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -485*f - 3099*f - 2715*f.\nAnswer: -6299*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 i when four letters picked without replacement from {h: 2, u: 2, o: 1, i: 4, q: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -240015.276 rounded to the nearest one hundred?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2*x + 7. Suppose 0 = g - 1 - 4. Let o be j(g). Is 4 a factor of (-8)\/6*(o - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -1 + 2 + (3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {k: 4, c: 2, u: 3, h: 2, r: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (14 + -17)\/((-6)\/4). Let o(h) = 10*h**2 + 5*h**2 - 16*h**s. Let w(x) = 3*x. Determine o(w(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + (sqrt(108) - (2*sqrt(108) - sqrt(108))*2 - sqrt(108)) + sqrt(108)*1*-1)\/((sqrt(486) - sqrt(486)*2 - sqrt(6) - sqrt(96)*-2)*-5).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2138 + 2136. Let n(p) = -p + 9. Calculate n(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -8*i - 31. Let y be u(-5). Solve -y*x = -8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c - 66. Let u be w(-35). Is u <= -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13322200 (base 4) in base 7?\nAnswer: -163336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 632 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/13524 and -101\/94668?\nAnswer: 94668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3875 + -3894.13. Let v = 122.87 + -122. Let f = r - v. What is the biggest value in 0.2, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.2 + -1.2. Let p = 0.01 + 1.99. Sort p, -0.5, n in increasing order.\nAnswer: -0.5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2\/11*y**4 - 38*y**3 + 420\/11 + 38*y - 422\/11*y**2 = 0.\nAnswer: -1, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 AM and 3:41 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1796167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 16 + 6*q**2 + 0*q**2 + 7*q**2. Let z = 315 + -308. Is x(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1850*d + 9 - 9 + 863*d)*(-2*d - 3*d + 4*d - 27).\nAnswer: 987*d**2 + 26649*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/10 and 49\/22825.\nAnswer: 45650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 448 is divided by 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*i + i + 0*i)*(-7*i + 3*i + 2*i) + 1 - 4*i**2 - 1 + 88*i**2 - 9*i**2 + 93*i**2 + (-1 + 2*i + 1)*(2*i + 1 - 1) in the form h*i + a*i**2 + u and give a.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 11:14 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 263020010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*x**6 - 4*x**4 - 521*x**3 + 24*x**2 + 6 wrt x.\nAnswer: -240*x**3 - 96*x - 3126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 1:05 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -456*z - 142*z - 5419*z + 283*z to the form q*z + f and give q.\nAnswer: -5734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4304044.\nAnswer: 2, 1076011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91 - 91 - 5*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323 is divided by 103?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -5*y + 10. Let v(r) = -6*r + 10. Let b(u) = 4*g(u) - 5*v(u). List the prime factors of b(14).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 3 = -2*s + 12 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*d + 651 - 631 - 3540 = 0 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -644, -1287, -1928, -2567, -3204?\n\"Answer: t**2 - 646*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 278759 to the power of 1\/2, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 + 24*i + 3. Let b be d(-23). Suppose 0 = 3*k - 4*k + 4. Let h(x) = x**3 - 4*x**2 - 6*x + 4. Let y be h(k). Is y less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.9 - 1. Let d = -201 - -374. Suppose 1 = 172*u - d*u. What is the nearest to u in 0.5, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/1111 and -3\/1010?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-120))\/((-30)\/(-20)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/(-9))\/(2\/(-6)). Let f(t) = 0 + 4 + n - t. Let b be f(3). Solve -b*p = -0*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8018 + 31017 = -613*a + 16780 - 28011 for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.416um in millimeters?\nAnswer: 0.005416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2554*b**2 - 2*b**3 - 2 - 2555*b**2 + b**4 + 5106*b**2 - 14*b in the form c + h*b**3 + t*b**2 + y*b**4 + j*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 58 - 68 - (-17 - 7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/1*(238\/14)\/17)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 2\/9*o**2 + 0*o - 2\/9*o**3 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*r = -0*r + 29, -4*r + 20 = 0. Let d = 5.6 + -6. Which is the third biggest value?  (a) d  (b) k  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/1)\/((-3)\/(-21)). Let b(p) = -2*p - 5. Let c(i) = i + 3. Let m(s) = q*c(s) - 4*b(s). Let z be (-1)\/3*(-144)\/8. What is m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21676608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 8) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2205*v + 1207. Is p(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.8227 to two decimal places.\nAnswer: -1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*w + 2*w. Let v be 54\/140 - w\/(-14). Let y be 2\/(-6)*(14 - 15). What is the smallest value in y, v, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221627 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 9 = -3*v. Let n = -0.05 - -0.35. What is the nearest to 2\/3 in v, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/10)\/(9\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -367, -1108, -2283, -3892, -5935, -8412, -11323?\n\"Answer: -217*n**2 - 90*n - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 385, 430, 465, 484, 481, 450, 385, 280?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 9:42 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*2\/(-324)*-12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -20*r**5 - 36*r**4 + 28*r**3 + 36*r**2 - 8*r = 0.\nAnswer: -2, -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3891117 by -56393.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.11027113 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 85 and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -12, 20, 4, 737 in decreasing order.\nAnswer: 737, 20, 4, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -4991*j - 398761. Calculate n(-80).\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -5*u**2 - 5*u + 5. Let i(r) = -3*r**2 - 2*r + 2. Let z(v) = 6*g(v) - 15*i(v). Let b(f) = 2*f. What is z(b(t))?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(1\/4)*s**11*s*s**(-1\/6)\/s**(-13\/4) assuming s is positive.\nAnswer: s**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -91 + 82. Do -9 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1338 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-4))\/(12\/24). What is the closest to -0.1 in 2, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 156*q. Suppose z = 6, 3*s + 39*z = 41*z - 18. Let n(x) = -2*x. Calculate s*g(l) - 130*n(l).\nAnswer: -52*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 32 = -y + 3*y, 0 = -2*y - 5*j + 29. Calculate the greatest common divisor of y and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 not equal to 25072\/2137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 + 20*m - 48.\nAnswer: 2*(m - 2)*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*i**2 - 182*i**2 + 147*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 102, 402, 894, 1572, 2430, 3462?\n\"Answer: -n**3 + 102*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-1\/4))\/j)**(-20)\/(j**(-1))**(1\/41))**6 assuming j is positive.\nAnswer: j**(1236\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 3*t**3 + 5 + t**3 + 3*t + t**3 - 4*t. Calculate v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -5*h + 55. Let l = h + -3. Suppose 2*b - l = 6. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + -11814.\nAnswer: -11814.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -508*n = -516*n + 48. Calculate the least common multiple of 17610 and n.\nAnswer: 17610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/3, -0.2, 0.6, 12, -0.4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (10 - 16 - 18)*(-3 - 3 + 5)*(-2*q + 4*q - q) in the form i*q + x and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j**3 + 321560*j**2 - 102938*j + 2?\nAnswer: -12*j + 643120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2522 + -5041\/2. Solve -x*o**2 + 6 + 9\/2*o = 0 for o.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -5, -4 in ascending order.\nAnswer: -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 406bb + -2?\nAnswer: 406b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 119 * 438\nAnswer: 52122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27994 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 840 - 499. List the prime factors of z.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30684 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 16*y**2 - 1. Let a(o) = 2*o. What is a(g(d))?\nAnswer: 32*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l**2 - 221*l - 206. Calculate t(45).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133180 = -2*j + 4*c, 4*c - 102666 - 30586 = -2*j. What are the prime factors of j?\nAnswer: 2, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 - 77*x - 732. What is u(-9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(6050) - ((sqrt(6050) - (sqrt(6050) - -5*sqrt(6050))) + 3 + sqrt(6050))) + 3*-3*sqrt(6050))*-5)**2.\nAnswer: 33000*sqrt(2) + 2420225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -29*d**2*i*w**2 + 2*d**2*w**3 - d**2*w**2 + 2*d*i*w**3 + 33*d*w**3 wrt i.\nAnswer: -29*d**2*w**2 + 2*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**2 + v. Let z(m) = -5*m**2 + 5*m + 13. Let c(w) = -3*b(w) - z(w). Give c(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-15)\/(v**(-1\/3)\/v*v))\/(v*v\/v**(-7\/4)*v*v**6))**(-2\/25) assuming v is positive.\nAnswer: v**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d*f**3*n**2 - 129*d*f**3*n - 2*d*f**3 - 74*d*f**2 - 2*d*f*n**2 wrt f?\nAnswer: -12*d*n**2 - 774*d*n - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 12:21 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7056660 or -0.1?\nAnswer: 7056660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z - 1. Let p = -54 - -53. Let u be v(p). Let t = u - -6. Solve 0 = -t*a + 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6909*j = 66063 + 44481 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -20 + 0 - -6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3520 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 1. Suppose 5*h + 1 - 16 = j. Suppose 0 = h*i + 2*i. What is the third smallest value in 5, i, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of -g**6\/24 + g**5\/60 + 8*g**2. What is the third derivative of h(n) wrt n?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, t: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2701917716 to the power of 1\/3, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1713, 1689, 1631, 1521, 1341?\n\"Answer: -3*s**3 + s**2 - 6*s + 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 7*v**2 + v + 5. Calculate the remainder when q(-6) is divided by ((-20)\/8)\/5*-24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19 in 0, -271, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6\/13 - -31\/39. Let h(r) be the second derivative of -2*r + b*r**3 - 1\/2*r**2 + 0. What is the first derivative of h(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0 + 7*k - 16 + 29 wrt k.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239615009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 - 10*m + 8. Let j be z(9). Let f be (j + 1)*(-11)\/22. Let l(t) = f + 3*t**2 - t**3 + 4*t + 1 - t**3. Give l(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -79, -149, -217, -283, -347?\n\"Answer: m**2 - 73*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 5*m = 0. Suppose m*s - s = 2. Calculate the remainder when -17*(-2 + 2 + s) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -871 = -33962\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-4\/3)*m**18)**(-4\/9) assuming m is positive.\nAnswer: m**(-200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2137*g**3*r + 16011*g**3 - 15671827*g**2*r - 2*g*r + r wrt g.\nAnswer: 12822*r + 96066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -3 - 2 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157 = 36*f + 419 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -78\/5 - -16. What is the smallest value in 4, p, -3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23.976 - -24. Let a = 0.022 + z. Let o = a + -9.846. What is o rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 r when four letters picked without replacement from {r: 7, m: 5}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 6 = -b, 3*t + 2 = -4. Suppose 2 + b = 3*s. Find the second derivative of -q + s - 2*q**2 - 2 - 3*q wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5476 + -5471. Let t(f) = 6*f**2 - 26*f - 10. Give t(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -909, -563, -217, 129, 475?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21211331 + -30?\nAnswer: -21212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i**2 + 15*i + 5. Let s be u(8). List the prime factors of (-20)\/((-4)\/(-36)*s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/(-40) + 33\/5. Suppose 0 = m*l + 2*l - 16. What is the greatest common divisor of 6 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - ((7 - (9 + 0)) + 8 + -15).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -168 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 4*d - d)*(0 - 186*d**2 + 187*d**2 + 4 + 2*d**3 - 10*d).\nAnswer: -2*d**4 - d**3 + 10*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 649 - f - 649.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -16*q + 1 + 7 - 12 wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 49 + -62 + 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-12))**(3\/34) assuming n is positive.\nAnswer: n**(-18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3624 divided by -1404.\nAnswer: -302\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*b*j**4 + 22*b + 222*j**4 - 15*j wrt j.\nAnswer: -72*b*j**2 + 2664*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002214479 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 0, -1.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 1.7. What is the closest to -5\/2 in l, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -8*f + 4. Let i(l) = -l + 2. What is the smallest common multiple of i(-6) and o(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1278744 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of 46*x**3\/3 + 38*x + 4. Find the first derivative of m(g) wrt g.\nAnswer: 92*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 + 57 = -5*f. Let o be (-3)\/(-2 - 1) + f. Solve -5*a - 17 = -4*q, o*q - a = 4 + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 27011295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u - 3 + 32 + 0*u. Let q be w(15). Suppose -4*d = -4*v + 8, -3 = -2*d - 13. Put -4, q, v in descending order.\nAnswer: q, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from {e: 2, r: 9, p: 2, x: 1, k: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6968209 * -5.\nAnswer: -34841045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.814 + 2.814. Suppose -3*q = -f - 27, -f - 30 = -5*q - 11. Let p = -583\/15 - f. What is the third smallest value in 5, p, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -a**2\/4 - 4351*a\/4 - 1181775 = 0.\nAnswer: -2251, -2100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -338*n + 86*n + 85*n + 84*n - n**2 + 83*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 83 divided by -19171\nAnswer: -83\/19171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.39971, -5\/2, -1 in decreasing order.\nAnswer: -1, -1.39971, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -7*p - 753. Give c(-126).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/6 - (-293)\/6. Suppose 3*q - a = -x, 2*a - 5 + 27 = -2*q. Let p = q + 11. Let z(u) = -u - 7. Give z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**21\/d)\/d)\/d)\/d**(6\/17)*d**(9\/7)*d*d\/(d*(d**(-4\/19)*d*d)\/d) assuming d is positive.\nAnswer: d**(45544\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and 0.17?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.132  (b) -5  (c) -1  (d) -3\/20  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -10570  (b) -2\/13  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 832518 is divided by 238?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7119*g + 0 - 7118*g + 0.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -a5a27c2?\nAnswer: -a5a27c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44 - -44.1. Which is the third biggest value?  (a) -1\/6  (b) 0.5  (c) q  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 243864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12219, 24440, 36661, 48882, 61103?\nAnswer: 73324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 13 - 11)*(-z**3 + z**3 + 2*z**4).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 348 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l. Let t(s) = -24*s - 1. Give t(y) + 2*w(y).\nAnswer: -22*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**4 + 4*w**4 - 2*w**4)*(-2*w - 2*w - w) + (-4*w - 2*w + 4*w)*(2*w**4 - 7*w**4 + 3*w**4) - 4 + 4 - 2*w**5.\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ba (base 12) to base 8.\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 783 + 66. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 < 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2603812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4230852.\nAnswer: 2, 3, 271, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -96.1 - 11.9. Let h = y - -130.3. What is h rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -189*a + 1505356 = 1494205 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -314, -168, -42, 64, 150?\n\"Answer: -10*q**2 + 176*q - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 2*r**2 - 3*r + 2. What is s(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1626\/433 - 5300662\/3031. Let l = -1758 - c. Let j = -1475 - -1471. Is j >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 61 = 3*y - 72, -y = -9. Let k be 1\/3*(-8)\/2. Which is the closest to k?  (a) l  (b) -0.5  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1168 - 410 - 424 - 13*m**3 - 425 + 7*m**3.\nAnswer: -6*m**3 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 146*c**2 - 3*c - 4. Let b(p) = p**2 - 18*p - 2. Let v be b(18). Is r(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 19*t**2 - 58 - 36*t - 6*t**2 + t**3 + 18*t**2. Calculate the remainder when y(-32) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.023 minus 0.086?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 23\/7 - (-2)\/(-7). Suppose 60*h - 12 = 105*h - 51*h. Let p(b) = -b**m + 160*b + 7*b**h + 155*b - 3 - 319*b. Determine p(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299897792 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 56*n - 980. Let j be m(14). Solve j = -2*t + 28*t - 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6882 = -7*w - 6861 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -796 - 202. Let p be (r\/(-12456))\/(7\/2163). Let z = p + -4\/519. Find the common denominator of 61\/3 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q = -0*q + 44. Let a(r) = 3*r - 2. Let i(v) = 4*v - 3. Let b(z) = 4*z**2 + z. Let c be b(1). Suppose -2*x - c = -3*x. Determine q*i(h) + x*a(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of j**3\/3 + 4*j**2 + 6*j - 3. Let r be c(-8). Calculate the common denominator of ((-1)\/r)\/((-5)\/295) and 13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -84778 divided by -194\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1970 - -1990. Let f(r) = r. Let b(l) = l**3 - 5*l**2 - 5*l - 2. Let q be b(6). Let m be f(q). Solve 0*j - 5*a = m*j + y, -a - 5 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*s + s**2 - 15*s + 10*s.\nAnswer: s**2 - 51*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1003 and 9?\nAnswer: 9027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1562.0799 months?\nAnswer: 13.0173325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -4*t - 144. Let c be g(-4). Let o be 2\/(-5 - (c\/(-3))\/(-8)). Determine z so that -432\/7*z**2 + 240\/7*z**3 + 96\/7 - o*z**4 + 192\/7*z = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-18) + 2824\/72. Let l = n + -42. Is l\/(-9) + (-144560)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12150 and 254475?\nAnswer: 4580550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 424*k - 48*k**2 - 841*k + 424*k to y*k + d + a*k**2 and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 8, l: 2, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n + 2*n**4 + 3*n + (0*n + n + 3*n + (-5 + 1 + 2)*(-4 + 4 + n) + n + 2*n + 0*n)*(-3*n**3 + 3*n**3 - n**3).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -43.65\nAnswer: 174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-91 + 156 - 18) + (-275)\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*m**5*q + m**3 + m**2*q - 43*m**2 + 30041*m*q wrt m.\nAnswer: -60*m**3*q + 6*m + 2*q - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -1\/3*z**3 + 5 + 0*z + z**2. Find the second derivative of q(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 1356901596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4437696 and 63760.\nAnswer: 22188480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -26106, -26102, -26098?\n\"Answer: 4*o - 26110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**26)\/z)\/((z*z**(3\/16)*z)\/z*z))\/(z\/z**(-4))**(-18) assuming z is positive.\nAnswer: z**(1821\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**3\/3 + 4*w**2\/3 - 368*w\/3 - 240 = 0. Calculate w.\nAnswer: -9, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 4*o**2 - 83072*o + 431309824 = 0.\nAnswer: 10384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/25)\/1*(-6)\/(-12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 368133?\nAnswer: 3, 277, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -a*o**2 + 347636346*a*o - 6*a + 7993928 wrt o?\nAnswer: -2*a*o + 347636346*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of k**5\/60 + k**4\/3 + k**3\/2 - k**2. Let z be m(-8). Is z != 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/(-10) + 4\/(-10). Let p(g) = -g. Let y be p(0). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-7 - (0 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10267*o**6 + 2*o**5 + 23*o**3 + 2*o**2 - 4*o - 18267 wrt o?\nAnswer: -1232040*o**3 + 120*o**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -177256 take away -0.0984?\nAnswer: -177255.9016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -62 + 3?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14439 - 14367. Calculate the highest common factor of t and 1864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 438\/5*s - 3\/5*s**2 - 15987\/5.\nAnswer: -3*(s - 73)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34129777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 17*n**3 + 12*n**2 + 63*n + 216. Calculate s(-6).\nAnswer: -3402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 100 - 13. Suppose -84*s - 1446 = -2199 - 2187. Let j = s - p. What are the prime factors of j?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3472 - 3473.01. Which is the second biggest value?  (a) j  (b) -1\/6  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002487 rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -870\/119 + 52\/7. Suppose 0 = -p - 7*p + 32. Which is the closest to m?  (a) 0.3  (b) -2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1510 is divided by 474?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -14*f + 6*f. Suppose 60 = -5*g - 5*o - 30, 5*g - f*o = -54. What is the units digit of (207\/(-2))\/(7\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 372.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 0, 4*h + 12 - 68 = -5*a. What is the lowest common multiple of 20 and h?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 3*h - 41, s - h = 2*s - 33. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -905*m - 4517. Give x(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/3*(909\/(-630))\/(-101)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 15*w + 11. Let o(a) = -5*a - 4. Suppose -269 = -5*h - 309. What is h*o(u) - 3*l(u)?\nAnswer: -5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 AM and 2:37 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22008 by -21.\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) 2\/25  (c) 0.4  (d) 5  (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1168757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -352, -354, -356?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -614531 + 21*b**2 + 307448 + 19*b**2 + 307083.\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16*(-15)\/6 - (-1 + 1). Let j = 43 + x. Solve -2*z - j*o + 13 = 0, 2*o + 2*o = 2*z + 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 1223?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.139 + -0.039. Let o = -7 - -11. Which is the nearest to p?  (a) 5\/2  (b) -3.7  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2 = -0. Let k = n - -1. Suppose 4*g - k*g + 6000000 = 0. Round g to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49120696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(78) - ((sqrt(78) - (sqrt(78) - 2*-1*sqrt(78))) + sqrt(78)))\/(sqrt(96)*-2))**2.\nAnswer: -39\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -807, -1564, -2831, -4608, -6895, -9692?\n\"Answer: -255*y**2 + 8*y - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-8)*(-476)\/102?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 593.76 + -594. Round t to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15375969.\nAnswer: 3, 7, 31, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -28.2382 and -1.555?\nAnswer: 43.910401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5254032 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 - 0.8. Let x be ((-3)\/(-48))\/(5\/(-30)). Which is the smallest value?  (a) x  (b) h  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 36*t - 21. Let s be d(-2). What is the units digit of (s\/6)\/(4\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(((s\/s**(3\/2))\/s)\/s))**(13\/2)\/(s**(-1\/11)*s)**50 assuming s is positive.\nAnswer: s**(-999\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8611.072 days in milliseconds?\nAnswer: 743996620800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d + 19. Let m be q(-3). Determine c so that 0 + 27\/2*c**m - 54*c**2 + 12*c + 21*c**3 - 6*c**5 = 0.\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 266\/793 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (-72)\/(-16))\/((-51)\/4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -373.9 + 470. Let a = v + -96. Put 5, 2\/13, a in decreasing order.\nAnswer: 5, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*y - 56*y + 2295 + 808 + 209 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-8)\/(32\/(-60)) + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 199, -47, -331, -671, -1085?\n\"Answer: -3*b**3 - b**2 - 222*b + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6274251.\nAnswer: 3, 97, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 3\/(1\/3 - (-87754)\/(-264828))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -3*t + 5*l + 5, -2*t - 2*l - 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.2 - 6.9. Let y = -0.118 - 0.282. Sort y, 0.5, z.\nAnswer: y, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 4*n + 5*n. Is n <= -2\/415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11096 and 15352?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 1 = 1. Let x(s) = s. Let j be x(f). Suppose -a + 11 - 1 = -5*y, 4*a = -j*y + 18. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 + 26.4. Sort -1, m, 2\/3.\nAnswer: -1, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 371 + -353. Let w = -42.160828 - -24.1608143. Let g = w + t. What is g rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15b (base 12) to base 2\nAnswer: 11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*x + 25 = 0. Let o be (56\/10)\/((-2)\/x). Suppose o = -3*n + 5*n - 5*b, 5*b = -n + 37. Solve 4*g - 3*m + m - 10 = 0, 0 = -5*g + m + n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 3, 0.5, 0, -2\/223, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 368112.\nAnswer: 2, 3, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/2 - 2662\/(-1210)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -62977 or -62976?\nAnswer: -62977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 58608500 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g + 359 - 422 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*1*sqrt(70)*3)\/(sqrt(1210)*2*1))**2.\nAnswer: 567\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*j + 0*j = 1258. Let w = 2 - 38. Let u = j - w. Are u and -1\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 21 = -2*x. Calculate the least common multiple of x and 51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 705, 1387, 2069, 2751?\n\"Answer: 682*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 73 + -1806?\nAnswer: -1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p + 36. Let b be x(-17). Let v = b + 20. Suppose 0 = -5*k - 9 + 44. What is the least common multiple of k and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1114180 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 576208 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 11)*(204*j**3 - 114*j**3 + 274*j**3).\nAnswer: -3276*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 0) + 1 + -5 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7 from 8.23845245.\nAnswer: 1.23845245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 0*u - u = -75 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/4613 and 33\/70.\nAnswer: 46130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 61 + 189. What is the least common multiple of r and 18?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -12\/7, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 9:11 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 1183024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 AM and 9:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -319126, -638121, -957114, -1276105, -1595094, -1914081, -2233066?\nAnswer: -2552049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1504, -1, -16.\nAnswer: -16, -1, 1504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 449 = -321*c + 1412 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, i: 5, s: 1, n: 1, q: 6}. Give prob of sequence sqn.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7185753.\nAnswer: 3, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-18)\/8)\/(18\/192). What is the common denominator of -29\/11 and (118\/5)\/(i\/(-15))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(sqrt(3) - (sqrt(72)\/sqrt(6) - sqrt(12))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/4, 1\/3, 390?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -6. Let p = -27.1898 + 30.17. Let j = -0.0198 - p. What is the closest to x in -4, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*f)*(-5 + 4 + 2).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27 or -56721?\nAnswer: -56721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 6:38 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 277, 556, 835, 1114?\n\"Answer: 279*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5005, 9697, 14301, 18811, 23221, 27525?\n\"Answer: -h**3 - 38*h**2 + 4813*h + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 16) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 72712411 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*c - 624*c = -1120 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from cgybgwc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 18. Let s = -1.91 + 2.01. Which is the second smallest value?  (a) s  (b) -4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 + 141*x.\nAnswer: -3*x*(x - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 262 + -294. Let u be ((-20)\/a)\/((-5)\/(-2)). Factor 0*k + 0 + u*k**2 + k**3 + 5\/4*k**4 + 1\/2*k**5.\nAnswer: k**2*(k + 1)**2*(2*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -59*d - 21. Let n(i) = 20*i + 8. Let x(o) = -7*o**3 + o**2 - o - 1. Let k be x(1). Let b(u) = k*n(u) - 3*q(u). Let y(m) = -3*m. Calculate y(b(v)).\nAnswer: -51*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (72 - 0)\/(-2)*(11023\/292)\/(-151)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*a - 125 = 0, -161 = -4*u + a + 306. Suppose 0 = -5*s + 5*z + 1930, s + 4*z - 342 = 59. Suppose 0 = 5*n - u - s. What are the prime factors of n?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10*(-123)\/138 + (-58)\/667\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 957 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**3 + 2510*i - 2040136 wrt i.\nAnswer: -6*i**2 + 2510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.49 + -1.79. Sort 2, -9\/14, s, 4 in decreasing order.\nAnswer: 4, 2, s, -9\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 1)*(8*f**2 - 3*f**2 - 3*f**2) + 14*f**2 - 5*f**2 - 7*f**2 as l*f + k + i*f**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 937368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -10*l**6 - 5*l**4 + 7*l**2 - 5. Let w(t) = 5*t**6 + 3*t**4 - 4*t**2 + 3. Let v(o) = -3*d(o) - 5*w(o). What is the third derivative of v(k) wrt k?\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 11*c - 8. Let x be n(1). Sort x, -4, 15, -3 in descending order.\nAnswer: 15, x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*d + b + 24, -2*d - 3*b + 12 = 0. Calculate the least common multiple of 159 and d.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-1) - -2*2. Let x(c) = -c**3 + 2*c - 1. Let w be x(-3). Suppose j*p = -4 + w. Solve -4 - 12 = -3*o - g, -2*o = p*g - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 398430 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166362.\nAnswer: 2, 3, 7, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 6*n + 6. Let k be o(6). Calculate the highest common factor of 12 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -8. Suppose -2*v + 24 = j*y, 2*v + y - 20 = -2*y. Solve 2 + 0 = -4*x - 2*a, 5 = 5*x + v*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 2*x**2 - 18*x + 3. What is the smallest common multiple of r(9) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 792\/110*50\/12. Calculate the greatest common divisor of 2040 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50721.\nAnswer: 3, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 140460191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 3 - 19. Suppose -x*c + 3 + 13 = 0. Suppose -432 = 18*y - 540. Solve -v = o - y*o + 14, -c*v - 8 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from zuzuuzzzuuuu.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1296)\/(-34) + 14\/(-119). Let p be s - (3 - (-2 - -1)). Suppose -3*t + 123 = -h, t - 2*h + 4*h - p = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y**4 - 8*y**3 + 36*y**2 + 8*y - 32 = 0. What is y?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -5 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 83.8 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-6)*-1 + (-190)\/(-36) + -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1207764, 1207652, 1207470, 1207224, 1206920, 1206564, 1206162?\n\"Answer: i**3 - 41*i**2 + 4*i + 1207800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -5*s**3\/3 - 12388*s**2\/3 - 7429*s\/3 + 4954\/3 = 0?\nAnswer: -2477, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -113 - -119. Solve -f + 2*i = 3, 0 = -f - i + m*i - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/((-85)\/(-87) + -1). Suppose x + i = -2*x. Let r = x + 258. What is the highest common divisor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*j**2 - 4*j**2 - 11*j**2 + 16*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*t - 55*t + 23*t + 3760754 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 2*r + 1. Let n(y) = -203*y**2 - 2*y - 1. Determine -c(b) - n(b).\nAnswer: 202*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 351 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-52) + 585\/3211. Let x = n + -5751\/2470. Calculate the common denominator of x and 33\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126038482 to the power of 1\/2, to the nearest integer?\nAnswer: 11227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2934639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 1)*(-3)\/3. Suppose -43*p + 90682 - 90467 = 0. Solve p*s - 9*s = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - a + 2)*(-1 - 2 + 4) + a - 7*a + 3*a + 13 - 33*a + 5*a - 15.\nAnswer: -32*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + -6 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1590218*v**4 + 3*v**2 - 13403*v + 2.\nAnswer: -38165232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -139, -620663 in ascending order.\nAnswer: -620663, -139, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1511739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*g - 583 + g**5 + 583 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2415, -625, 1427, 3873, 6845, 10475, 14895?\n\"Answer: 22*t**3 - t**2 + 1639*t - 4075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 30*g - 268. Let j be z(9). Let p(b) = 9*b - 3*b**2 - j*b**3 - 17*b**2 - 26*b + 13. Calculate p(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -86\/21 and -139\/474?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + x + 1. Let i(r) = 51*r**3 - 4*r**2 + 3*r - 9. Let o(w) = -30*w**3 + 2*w**2 - 2*w + 5. Let u(h) = -4*i(h) - 7*o(h). What is -2*t(s) + u(s)?\nAnswer: 6*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 15 - 35 = 0. Suppose -10 = 5*v, -24*g + 19*g - t*v = -2087. List the prime factors of g.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000010110000101111000 (base 2) to base 5.\nAnswer: 1030001030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 31187, 249492, 842015, 1995860, 3898131, 6735932, 10696367, 15966540?\n\"Answer: 31184*z**3 + 5*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256491 is divided by 2489?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2)\/u*u)**(-3\/20)*(u*u*((u**2\/u)\/u*u)\/u*u)\/u**(-4) assuming u is positive.\nAnswer: u**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 8:06 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53.5 - -15.5. Let z = v - 65. Which is the fourth smallest value?  (a) 1  (b) z  (c) -1  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -46350, -46347, -46344, -46341?\n\"Answer: 3*c - 46353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77931.74 millennia to years.\nAnswer: 77931740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 921554057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-1)\/2)\/(31\/(-21824)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 2. Let v be 150\/20 + 5\/(-2). What is the closest to -1 in v, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7111 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -76240*z**3 - 4*z**2 + 335273*z.\nAnswer: -457440*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -112 or -190\/11?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 - -84. Calculate the highest common factor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (10 + -1 + 2 + 5 + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 6 = -3*j. Let b(h) = 14*h**2 + 2*h + 1. Let f be b(j). What is f rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*n = -56*n + 14, h - 10 = -5*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 965\/(-50) + (-5)\/(75\/(-90)) + 13.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/(-4)*(-4)\/324*-3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.1 + 2.8. Let j = k + -0.7. What is the third smallest value in -5\/2, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39416.\nAnswer: 2, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16140 and 6480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 391*q - 8 = 383*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 500620 divided by -4.\nAnswer: -125155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**4 + w**4 + w**4)*(0 + 2 + 5)*(3*w + 2*w + 13*w).\nAnswer: -126*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3209.465 litres in millilitres?\nAnswer: 3209465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -12*u + 76. Let t be j(6). Suppose 0 = -0*z + t*z - 24. Solve -z*h - w = -h - 22, -5*h + w + 28 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (7 - 2)) + -6 - (5 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hfc when three letters picked without replacement from czhxfzfzjfxzjhh?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(-4 + -3*34\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 8:07 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 + 20. Suppose -c*s + 70 - 2 = 0. What is the derivative of 11*p**4 + 82*p**2 + s - 82*p**2 wrt p?\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 721 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/27, 3, -40 in ascending order.\nAnswer: -40, -2\/27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14313 and 33.\nAnswer: 157443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*h = -5*t + 25, -2*h = t + 6. Suppose -t*v - v = -20. Suppose 4*p - v*f - 30 - 14 = 0, -2*p - 4*f = -34. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**5\/20 + 5*r**4\/12 - r**3 + 11*r**2\/2 - r - 4. Let v be o(4). Solve -5*j - u - 2 = -4*u, v*j - 5*u - 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (104\/13)\/8*(-98)\/20. Let t be 2 - ((-4)\/2 + 9). Is t at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*p**2 + 35*p**3 - 28*p**2 - 3098*p + 6193*p - 3093*p.\nAnswer: 35*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/((-2)\/(-12)*3). Sort n, 3, 0.5 in descending order.\nAnswer: n, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(((-7)\/(28\/(-16)))\/(12 + 22))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a + 9. Let s be i(9). Solve s = 3*y + 2*l + 19, -5*l - 16 = -3*y - 0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17f051 (base 16) to base 11.\nAnswer: 981777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - (-2*3 + 2). Suppose 5*a + m + 10 = 34, -j*m = -2*a + 13. Let n(i) = -i**3 + 7*i**2 + 5*i - 3. Does 24 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 151764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 - 3)*(1 - 1 - p) + (6 + 0 - 2)*(3 - 5 + 0)*(-53 + p + 53) to n + m*p and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 4*y**5 + 4*y**4 - 24*y**3 - 16*y**2 + 32*y = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 + 21. Let l = b - -68. What is the tens digit of 6516\/l - (-8)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2083.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cll when three letters picked without replacement from {c: 18, l: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 3*z**4\/4 - 33*z**3\/8 + 63*z**2\/8 - 6*z + 3\/2 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*r*s**4 - 3*r*s**2*t - s**4*t + s**4 + s**3 - 1773*s*t wrt s?\nAnswer: -528*r*s - 24*s*t + 24*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 + 4747*l + 18978. Give s(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 8 + 112)*(-2*c + 1 - 1 + (4*c - 3*c - 3*c)*(-3 - 1 + 6) - 8 + c + 8)*(1 + 2 - 1).\nAnswer: -1320*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20925 = -410*o - 265*o for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*i*o**3 + 466*i*o**2 - 2*i - 1788*o**3 + o**2 wrt o?\nAnswer: 18*i - 10728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c = -17*c - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*s - 15 + 29. Let b(z) be the third derivative of -s*z**2 + 0*z**4 + 0 + 0*z + 0*z**3 - 1\/60*z**5. Let n(w) = w**2. Determine b(n(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3770 and 913.\nAnswer: -3442010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from {w: 4, f: 2, v: 6}?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-147)\/(-126))\/(1\/(-10)*80\/32).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 118633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + -2f0a96?\nAnswer: -2f0a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2449335, 2449331, 2449325, 2449317, 2449307, 2449295?\nAnswer: 2449281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156 - 202 - (-44 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*l + 11*l - 3. What is the units digit of (-154)\/(-6 - (l - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9943070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*c + 20 = -31*c. What is the highest common factor of 110 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -70*y**2 - 1\/4*y**5 - 95\/2*y**3 + 78*y - 25\/2*y**4 + 0. Factor r(i).\nAnswer: -5*(i + 1)**2*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -76*m**3*w**4 - 28*m**3*w + 3*m**3 - 7*m**2*w**2 + m**2*w - 160*m**2 + 3*m*w + 25*w**2 wrt w?\nAnswer: -912*m**3*w**2 - 14*m**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 182 + -95b9?\nAnswer: -9437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.1 + -1.3. Let o = 0.9 + -1.3. Which is the closest to g?  (a) 1\/3  (b) 2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2895 - 2872. Let m be 1 + 5*(-8)\/(-2). Is m greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2331010221 - 3011?\nAnswer: 2331001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.25 - -0.25. What is the fourth smallest value in -10, 2\/17, u, -5\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (1 - 13 - (-1 + -4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.8 + 1.8. Let v = -79 + 84. What is the closest to s in -2\/9, v, 2\/13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.78  (b) 0.03  (c) -159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*w + 0*w**2 + 0*w**2 + 27*w - 131657 + 131657 - 2*w**3.\nAnswer: -2*w**3 - 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -54 + 92. Calculate the lowest common multiple of 18 and x.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49 + 2*d**2 + 774*d - 26 - 49 + 169 - 42 to the form u*d**2 + g*d + m and give g.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t + t - 3*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19946, -39814, -59682, -79550, -99418, -119286?\nAnswer: -139154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - -1*sqrt(448)) + -2 + sqrt(28)\/sqrt(4) + (sqrt(14) + sqrt(98)\/(-1*sqrt(7)))\/sqrt(2))**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 36 = -4*a, -4*a + 0*a + 4*y - 76 = 0. Let x = -13 - a. Calculate the least common multiple of (-23)\/(-5) - 4\/(-10) and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 32, 131, 326, 647?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 97 - 397. Suppose v - 5*v - x = -400, 0 = -3*x. Suppose b + 3*b = v. Calculate the highest common divisor of n and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4639*g*p**4 + 20*g*p**3 - 3586*g*p**2 - 3*g*p wrt p.\nAnswer: 111336*g*p + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from lzzzzqpndznqzqpzzzql?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, h: 1, g: 1, l: 2}. What is prob of sequence ghb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 816.6 - 1034. Let x = -130 - a. Let y = x - 87. Put y, 4\/5, -12 in descending order.\nAnswer: 4\/5, y, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 377366, 754729, 1132092?\nAnswer: 1509455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -288 - -287.96. Let m be (-472)\/26 - (-6)\/39. Let j be (5 - 2)\/m*3. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5514 or -4186?\nAnswer: -4186","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -263504, -263505, -263506, -263507, -263508, -263509?\nAnswer: -263510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*t + 0*t**2 + t**2 - 2*t**2 + 0*t**2.\nAnswer: -t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-121 - 26) + 89)\/(-10)\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (1 + 0 + -3 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 5*t = -4*u + 615, 3*u = 5*t + 457. Calculate the remainder when u is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*f + 102*f = -26*f - 2700 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/10)\/((-6)\/(-15)). Suppose -20 = -4*t - 5*b + 26, -t + 4*b = -w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/2 + 115*r\/2 - 1122.\nAnswer: (r - 17)*(r + 132)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 88\/20) + 6\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6784 + -6771. Suppose 0 = 3*b - 0*b. Solve 4*y - a = -w, -2*y - 3*a - 2*a - 1 = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, z: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**3 + 16*j**2 + 7*j - 13. Calculate the remainder when f(-7) is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53*n**6 + 24*n**6 - 28*n**6 + 295*n**2 + 0*n**3 + 9*n**3 - 3*n**3 wrt n?\nAnswer: -6840*n**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*u = 76*u + 4*l - 16, -u + 10 = -2*l for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2404*l. Let b(a) = -a**2. Give b(w(m)).\nAnswer: -5779216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -378240 - -435732385\/1152. Calculate the common denominator of -49\/8 and n.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2584, 9657, 36714, 78581, 135252, 206721, 292982, 394029?\nAnswer: 509856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u - 5. Let b be k(-8). Suppose 5*l + 26 = 3*r, -2*l - b*l - 2 = -r. Calculate the remainder when 45 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2256488*j*v**2 + 12626*v**2 - 265 wrt j?\nAnswer: 2256488*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2434*f**2 + 7271*f + 6. Determine s(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 95 = 0, -25 - 15 = -0*s - 4*s + 6*s + 2*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 152300\/1011 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 16588541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does -5294974 = -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*i - 5 + 15*i - 1 + 6.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, a: 5, w: 1, i: 3}. Give prob of sequence iwi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -12*y - 7. Let j(w) = -1742*w - 1747*w + 5223*w - 1747*w. Determine v(j(s)).\nAnswer: 156*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/4 and -193\/5640.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 1076 = 4*g, 4*g + w - 5*w = -1080. Let b = 390 + g. What are the prime factors of b + 5 + (-2 - -1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7385574 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 3\/4, -87, 0.4, -0.5 in ascending order.\nAnswer: -87, -0.5, -0.1, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*q**4 - 3*q**3 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 1214*d - 41. Suppose -15*u - 15 = -18*u. Is w(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 6:45 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 102 - 11. Let r = h + -55. Let k(v) = v**2 - 3*v - 1. Let t be k(-2). Calculate the highest common factor of t and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1276 + -1275.9. What is the closest to 0.2 in -0.2, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -11. Suppose n*c + 468 = 4*y, -238 = -3*y + y + c. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171*j - 104064 = -183*j. Let c = -3873 + j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -121330?\nAnswer: -122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttyttytttttttttttttt. What is prob of picking 2 y?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 471550.\nAnswer: 2, 5, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 7, -3, 0.2, -2.6, -2\/5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 297 or 895\/3?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c0 - 1?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 12787 * 9933\nAnswer: 127013271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186913 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (3 - (2 - (2 + 1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -113\/395192 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((-1*(2 + 1 + sqrt(11)))**2 - ((sqrt(495) - sqrt(55))\/sqrt(5)*-3)**2) + -4 + 1).\nAnswer: -24*sqrt(11) + 1516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*j - 13*j - 32*j + 263*j**2 + 3 - 17*j - 23*j.\nAnswer: 263*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -10178*c**3 + 979*c**2 + 6*c - 55. Let f(w) = w**3 + 2*w**2 - w + 5. Let j(k) = 11*f(k) + u(k). Find the third derivative of j(q) wrt q.\nAnswer: -61002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 + 2)*-1 + 184\/(-94). Which is greater: 1\/4 or g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 596 + -590. What is the closest to k in -4, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -146.4 - -148.4. Which is the closest to 2\/5?  (a) r  (b) 2\/23  (c) -0.5  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-130)\/91)\/((-2)\/28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -5, -25, -73, -161, -301, -505, -785?\n\"Answer: -2*m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from cmpmm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 2) + -1 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + 18*r + 1. Let o(g) = -g - 10. Let k be o(9). Let f be x(k). Solve 5*q - q = -f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -s + 468, -104*j = -100*j - 3*s - 650. What is the remainder when j is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10646, -85048, -286994, -680252, -1328590?\nAnswer: -2295776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -355, -700, -1033, -1348, -1639, -1900, -2125?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -52123*m**2 - 62426 wrt m.\nAnswer: -104246*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from {z: 8, w: 2, m: 2, u: 5, o: 1}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + (5 + (-8 - (-3 - 11)) - 13).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 44354*l - 44347*l = -24, -4*a + 16 = -5*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.762168 millilitres to litres.\nAnswer: 0.005762168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 761 - 753. Let d(z) = -z - 4 + 5 + 0*z. Let c be d(-4). Solve -1 - b = 5*j + o, c*o = j - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 1 = 4*f, -214 = -2*y - 3*f. Suppose -9*u = -4*u + 3*a - 266, 46 = u - 3*a. Calculate the highest common factor of u and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 8*z - 1. Let i be u(1). Let q = -0.5 + 0.2. Let p(o) = 63*o + 317. Let d be p(-5). Sort d, i, q in descending order.\nAnswer: i, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.239 and 122710.\nAnswer: 122711.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -171.7429 to the nearest integer.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 561912507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*x**2 - 148*x**2 - 111*x**2 - 638*x**2 - 303*x**2.\nAnswer: -1458*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w - 661 + 56626 - 7425 = 0. List the prime factors of w.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -610*d - 93. What is the tens digit of f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*x**2 + 135*x - 135*x.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 470406500 and 1000?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 36 and 234.\nAnswer: 8424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.625 + -3.14. Let b = s - 174.535. Let w = 168 + b. What is w rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a second in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 70*q**2 + 783*q + 1374. What is h(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21807463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 10683 - 10*k + 10680 - 32039 + 10678. Let i(c) be the first derivative of 2*c**3\/3 + 1. Calculate t(i(m)).\nAnswer: -20*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8626, -8613, -8598, -8581?\n\"Answer: s**2 + 10*s - 8637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + -4 - 0) + 15. Suppose 44 = 5*k - 4*m, 4*k = -m - 4 + 35. Let o = q - k. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*k - 5*k + 8*k)*(-445*k - 89*k**3 + 445*k) - 6*k**4 + 4*k**4 - 7*k**4 in the form h*k + f*k**2 + r*k**4 + a + t*k**3 and give r.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(2\/24*3). Which is greater: -34 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3*z + 11, 0 = -4*b - 0*z - 3*z + 5. Let v = 29 + -9. What is the smallest common multiple of -2 + (-2 + b - -12) and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 12*n**2 - 11*n - 6. Let a(m) = 11*m**2 - 10*m - 6. Let j(k) = -6*a(k) + 7*x(k). Let q(u) = 12*u + 1. Let w be q(-1). Is j(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 4*f - 12. Let z be l(6). Solve 3*d = d - h - 6, -3*d + 2*h - 9 = z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4 + -1*(sqrt(108) - sqrt(108)*2*1)*-6 + -5) + 5.\nAnswer: -180*sqrt(3) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 12.32, 1, -5, -1, -4, -3, -15 in descending order.\nAnswer: 12.32, 1, -1, -3, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 5721*i. Let y(o) = -1238*o**2. Give y(t(z)).\nAnswer: -40519543158*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 145556086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -322181792 by -272113.\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 8*u + 5. Calculate the remainder when 3 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3 + -3 + 2*sqrt(242) + 5 + 2*sqrt(242)*-6)**2.\nAnswer: 220*sqrt(2) + 24204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + 95*i**2 - 2228*i + 88. Determine s(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -x**4\/6 - x**3 - x**2\/2 - 11*x. Let q be z(-4). What is the common denominator of 109\/12 and q\/54 - 59\/(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*(-5)\/(-40) - 7\/(-4). What is the second smallest value in -3, -77, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.937357685 - 182.\nAnswer: -178.062642315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -775 - 42*f**2 + 70*f**2 - 30*f**2 + 3*f + 812 + 1424.\nAnswer: -2*f**2 + 3*f + 1461","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7\/8 - (5123\/(-188) + 28)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/6*(-12)\/(-30). What is the second biggest value in -3, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17089417, 34178837, 51268259, 68357683?\nAnswer: 85447109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*d + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 5:20 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1970 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 - 5*n**2 - 4*n. Let a be v(-4). Suppose a = -82*h + 77*h + 1325. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 816 and 510?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 31088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 138\/955 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 66 and 7728618?\nAnswer: 85014798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 9 = k - u, 0 = 2*k + 3*u - 18. Let b = -12 - -29. What is the remainder when b is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a5d1 + 4?\nAnswer: -a5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (8 - -14 - 7) + -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -203, -210, -213, -206, -183?\n\"Answer: s**3 - 4*s**2 - 2*s - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*w**2 - 27*w**2 + 145*w**2.\nAnswer: 145*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (241*l**2 + 55 - l**2 - 55)*(-2*l**2 - 3*l**2 + l**2).\nAnswer: -960*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 11 + 90*k - 196*k + 10 + 102*k. What is m(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5510, 10652, 15856, 21128, 26474, 31900?\n\"Answer: b**3 + 25*b**2 + 5060*b + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x**3 - 45*x**2 + x + 39. Give b(15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 5*r + 15 = 0. Suppose -r*z = z - 4. Is 10\/7 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 9*a + 92. Let r(n) = -4*n - 46. What is -3*j(m) - 7*r(m)?\nAnswer: m + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6937 + -6885. Solve 43*b - y*b = 63 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(16\/5)*s*s*s**12*(s*s**(1\/2))\/s**(2\/29) assuming s is positive.\nAnswer: s**(5403\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 252\/27*3*1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -16*c**2 + 50989*c - 22. Let t(v) = 3*v**2. Calculate n(t(i)).\nAnswer: -144*i**4 + 152967*i**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -46, 4, -3, 2 in ascending order.\nAnswer: -46, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*h - 5 = 132*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 3*b + 14, 3*b + 12 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -204829 divided by -4\nAnswer: 204829\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 603 (base 9) to base 10.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-609742)\/(-4268))\/(-449)*2\/28*2?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-68)\/(-18) - (-10)\/45. Let g be (-60)\/45 + y + 0. Suppose -4*r + 7*r = -5*z + 3, 0 = z - 3*r - 15. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3577844705?\nAnswer: 5, 41, 101, 172801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6634 is divided by 1197?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -42, -201, -440, -747, -1110, -1517, -1956, -2415?\n\"Answer: 2*w**3 - 52*w**2 - 17*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - -2 - (15 + (-1 - 7)) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-6))\/((-29)\/((-145)\/(-4)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 1052*m**2 + 6224*m - 54391. What is o(-1046)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 0.1, 0.5, -303?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 62352 (base 7) to base 6\nAnswer: 154420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**2 - 5*f**2 + 3*f**2)*(23*f**2 - 15 + 15 + (-3 + 3 - 2*f)*(-2*f - 4 + 4)).\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228 is divided by 110.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 239680 - -9580.2.\nAnswer: 249260.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -31997881.82 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r = -25*r + 7815. List the prime factors of r.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((12\/21)\/(-1))\/(24\/(-28)). Which is the closest to -1?  (a) -2  (b) -4\/5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*x + 65, -2*m + 2 + 0 = 0. Let k = x + -17. Find the second derivative of -k*g - g - 4*g**4 + 11*g**4 wrt g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + -3 - (-1)\/((-5)\/(-45)). Let q = 20 - 15. What is the greatest common factor of m and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -107.218 - -0.218. Let n = -107.000091 - b. What is n rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3538633*c - 1726320 wrt c?\nAnswer: -3538633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40504396146.5999952 - 40503842644. Let g = v - 553502. Let p = g + -0.6. Round p to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -608\/2655 - -2\/295. Sort 2, -1.4, i in decreasing order.\nAnswer: 2, i, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 6*g + 3. Let z be d(6). What is the highest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/52*5*36\/225\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49 - -49. Let g = -19 - -31. Let m = 7 - g. What is the closest to -1\/2 in -2, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0141984 to 4 dps.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 3*w + 40, -a - 434 = w - 449 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (20\/(-28))\/((-45)\/18). Sort d, -11\/5, -10.\nAnswer: -10, -11\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1704\/112 - 18 - (-2)\/7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l. Let u(m) = -59319*m**2. What is u(g(k))?\nAnswer: -237276*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 18*w - 88 = 0, 3*z + 413*w - 412*w - 28 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1028729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -172 (base 15) in base 5?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 + 31. Let a(s) = s + 2. Let n be a(-5). Put -1, n, j in decreasing order.\nAnswer: j, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -802627\/141639 - -2\/47213. Suppose -4 - 8 = -4*l. Is l equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9253971 times -0.3\nAnswer: -2776191.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 736 and 21988.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2493*r + 19. Let a be b(-5). Suppose 16*y - a = 4524. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from zzxxxhzxhnnhzxz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -36, 0.2, -4, 5\/2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -578*u**3 + 9*u**3 + 203*u**3.\nAnswer: -366*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/59 in 0.2, -2\/3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 70*p**4 + 7*p**3 - 2*p**3 - 75*p**4 + 12*p - 2*p**3 - p**3 as m + q*p + z*p**4 + v*p**2 + w*p**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-6)*(-29)\/(2436\/(-144))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 3) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000039533 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -6\/3509, -2.6, -4\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u\/((u\/(u\/(u\/u**1)))\/u)*u**(-2)*u*u\/u**3*u*u*u**(-1) assuming u is positive.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -19. Let j(n) = -n**4 + n**3 - n**2 + 1. Let g(x) = 3*x**4 - 2*x**3 + 3*x**2 - 4. Let d(w) = z*j(w) + 3*g(w). Factor d(c).\nAnswer: -3*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27891\/(-18522) + (-44)\/((-3696)\/126)?\nAnswer: -2\/343","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of q**6\/45 + q**5\/120 + 2*q**3 - 11*q. Let z(h) be the second derivative of d(h). Find the second derivative of z(p) wrt p.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19260 and 51300?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(20))*-6)**2.\nAnswer: -288*sqrt(5) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((((r**(-3)*r)\/r)\/r)\/r))\/r**(-1\/5))\/(r*r**4*r**7) assuming r is positive.\nAnswer: r**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -6. Is (-1128)\/(-32) + q\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18 - 103*n - 13*n + 78 - 1 wrt n.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27216203 (base 8) in base 4?\nAnswer: -113101302003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 84159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/25)*s*s)\/(s*s\/(s**(-6)\/s))*s\/(s*s*s*s*(s**5\/s)\/s*s*s)*s**6 assuming s is positive.\nAnswer: s**(-227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -130 + 1673. What is the first derivative of -233 + u*c**3 + 1556*c**3 + 2*c**4 - 3064*c**3 wrt c?\nAnswer: 8*c**3 + 105*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 12*o**2 + 10*o - 17. Is w(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/14)\/(((-819)\/1053)\/(21*6\/(-27)))\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 134 + -136. Calculate the common denominator of 36 and (-1469)\/78 - 2\/r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/15 + 3 + (-2)\/(-6). Suppose z*w = 4*w - 12. Suppose -3*p - 13 = 4*i - 35, 4*i = 5*p + 6. Solve -w = 2*q - 4*v, 0 = p*q + q - 2*v + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-155)\/25 + 7)\/((-648)\/(-90))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5 + sqrt(13)*-1 + sqrt(117) + -2 + 2 + -1).\nAnswer: -4*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -133. Let k = 211 + -108. Let f = w - k. Put f, -4, 3, -5 in descending order.\nAnswer: f, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 5*v**3 - 22*v**2 - v - 5. Let z be y(12). Suppose 5*x - z + 28590 = 3*n, -3*n - 4*x + 23153 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25467004639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3374 is divided by 1120?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 18 - 1 + h**3 + 15*h**2 + 14 - 9. Suppose -7*b + 3*b - 60 = 0. What is the units digit of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.18 - -8.82. Let g = -6 + k. Which is the closest to 0?  (a) g  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 43, 159, -1, -2.\nAnswer: -5, -2, -1, 5, 43, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 42 = 17, 0 = -5*d + r + 5485. Suppose -2*m + 390 = -d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39 - 27) + -21 + ((12 - 3) + 5 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -q - 0*k + 283, 2*q + 5*k = 568. Let n = q - 270. Suppose 0*g + 49 = 2*g - 5*p, 2*g = p + 53. Calculate the least common multiple of n and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s + 0 + 0 + (2*s + 2 - 2)*(-1 - 2 + 4) - 3*s + 5*s - s + (5 + 1 - 4)*(0*s + 3*s - s) + (-25 + 2 + 7)*(9 - 9 + 7*s) in the form o*s + l and give o.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -16*v**2 + 934*v - 360. Determine m(58).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - v + 6*v = -188, 3*v - 64 = -b. What is the remainder when b is divided by (8 - 0)*18\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 6, 2, 2630.\nAnswer: 2, 6, 24, 2630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4677 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -12. Suppose -f + 2*s = -4*f + 130, 0 = q*s - 6. Suppose -2*m - m = -f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 22*i + 86. What is the remainder when k(9) is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a**2 - 7*a**2 + 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iggi when four letters picked without replacement from {i: 6, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 8*r**2 + r + 18. Let h be a(-8). Solve -3*c + 2*q = -6, 0*c + 4*q = 5*c - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-31)*l*l\/l**(12\/5)*l assuming l is positive.\nAnswer: l**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 0, 15\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 - (154 + -29 + 0) - -16?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(2\/15))**(1\/23))**7 assuming q is positive.\nAnswer: q**(91\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, w: 1, z: 10, u: 3}. What is prob of picking 1 w and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -12*((-3500007)\/12 - 0). Let v be 2*m - 2\/1. Suppose -j + 6*j + 34999980 = 5*h, 3*h + v = -j. Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -89 + 104. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 2:24 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**6\/h**(6\/11))\/(h**(7\/5)\/h*h\/((((h\/h**(1\/11))\/h*h)\/h)\/h)))**(-8) assuming h is positive.\nAnswer: h**(-1304\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-9) + (-14)\/(-3). Let n be 2\/(-9) - (-29)\/9. Find the third derivative of -3*q**3 + 3*q**n + 2*q**2 - q**w wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244824564 is divided by 191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 15*c + c**2 + 0*c**4 + 2*c**4 + 2*c**3 - 15*c in the form k*c + q*c**3 + a*c**4 + m + p*c**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*u + 7 = -115*u + 3*i, -4 = -4*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 12, 91, 224, 411, 652?\n\"Answer: 27*i**2 - 2*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 times 757.22\nAnswer: 10601.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.9 + 10. What is the closest to 2 in w, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 8*s**2 - 14*s - 33. Determine m(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**4\/5 + 64*u**3\/5 + 36*u**2 - 648*u\/5.\nAnswer: 4*u*(u - 2)*(u + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -14149 - 3.008?\nAnswer: -14152.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 994*w + 560 = 974*w. Let v(f) = -f - 21. Determine v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 1148596*w. Let j(s) = 2*s. Calculate j(h(a)).\nAnswer: 2297192*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of -t**6\/30 - 61*t**4\/2 + 42*t**3 - t + 35. What is the second derivative of q(h) wrt h?\nAnswer: -12*h**2 - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 427*r**2 - 266*r.\nAnswer: 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1030.753 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 8*v - 12. Let u(s) = -1. Let i(a) = -12*u(a) + x(a). Let h(m) = -3*m**2. Give i(h(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 101*p**2 - 167*p - 86. What are the prime factors of i(16)?\nAnswer: 2, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*4\/(-8)*10. Suppose x - d*t - 1045397 = 694583, -t = 5*x - 8700004. Round x to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6528324?\nAnswer: 2, 3, 11, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 3 = -5*k, -3*k + 0 - 9 = -3*s. Suppose q - 1 = s*q. Let y be (-4 + (q - -4))\/(-1). Solve 2*c + 6*o = 3*o - y, c = -2*o - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 u when three letters picked without replacement from {s: 6, q: 1, a: 8, u: 3, n: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (12\/(-24))\/(3\/18) - -5. Calculate the greatest common divisor of 326 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 19 = -19*s + 21*s, 5*s = h - 20. Solve 0*w = -w + h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -260 - -261. What is the closest to 0 in c, 10, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.391 + 0.009. Which is the closest to 2\/3?  (a) 0.2  (b) z  (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) -2\/3  (b) 23  (c) 0.2  (d) -5\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1363.069 and 1659802.\nAnswer: 1661165.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 69354807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 8, 10, 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 243 and 1674?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -226 - -306. Let p = 75 - r. Let x = 3.8 + -4. Put x, p, 0.7 in decreasing order.\nAnswer: 0.7, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bcobbbbbccobbbcc. What is prob of picking 1 c and 3 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 63022.74 months in years?\nAnswer: 5251.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) -29\/2  (b) -0.2  (c) 621  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 25. Let r(a) = 31. Let m(l) = -4*r(l) + 5*w(l). Let j(x) = 2*x + 3. Determine -j(i) + 6*m(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6236623682 and -25.\nAnswer: 6236623657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 2254 - 2284 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -10174339.4.\nAnswer: 10174339.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of -j**8\/756 - 2*j**7\/315 + 4*j**5\/135 - 560*j**2. Factor m(p).\nAnswer: -4*p**2*(p - 1)*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (364\/(-42))\/26*5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (75\/(-10))\/(9*-1). What is the smallest value in 6, a, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1640 > 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2102621 divided by -68?\nAnswer: 2102621\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 759 a factor of 59513949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 2\/6)*-15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1057531 is divided by 352498.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41822 is divided by 126?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 395 a factor of 4398926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, u: 1, f: 1, d: 3}. Give prob of picking 1 d and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 11*v + 1. Let c be b(-2). Is (12\/(-10))\/(c\/350) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 465475736*w - 465475736*w + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (23 - (21 + -4)) + (-11 - -2). What is the third smallest value in d, -2\/7, 1\/5, -2, 88?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2. Let s be 6*(2 - -3 - (-7)\/3). Let v(k) = -103*k**2 + s*k**2 - 69*k**2 - 20*k**2. Determine v(a(z)).\nAnswer: -148*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -81 - -115. Let p be ((-85)\/10)\/(1\/(-2)). What is the highest common divisor of n and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205 is divided by 170?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.2 + 1.1. Let f = g - 4.9. Which is the closest to 0?  (a) -4  (b) 3\/5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133020 bigger than 133845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**3 - 5*o**2 + 2*o. Let j(g) = 4*g**3 + 9*g**2 - 3*g. Suppose 5*t + 4 = -4*p - 27, 24 = -3*p - 4*t. Calculate p*j(b) - 7*l(b).\nAnswer: -2*b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -14. Let x(p) be the second derivative of -2*p**3\/3 - 3*p**2 - 3*p. Let d(r) = -3*r - 5. Determine h*d(q) + 4*x(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 2*b**2. Let v(k) be the third derivative of -k**6\/24 - 3*k**5\/20 + k**4\/24 - 6*k**2. Determine 9*u(z) + 2*v(z).\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -103020 divided by -60?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 4*b + 8, 6*b = 5*k + 9*b + 23. Let m(l) = -4 + 4 + 3*l. Let v = -18 + 39. Let p(h) = 15*h. Calculate k*p(j) + v*m(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + 5. Let y be j\/(-20)*(-20)\/54. Let l = -0.7 + -2.3. Put y, l, 0.2 in descending order.\nAnswer: y, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 60.19551 - 60.2. Round h to 4 decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539) + sqrt(1539)*1 + sqrt(1539))**2 - sqrt(1539))*-1*1.\nAnswer: -13851 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/44 and -17\/484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -26432345 times -1?\nAnswer: 26432345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -163*g**2 - 6*g + 3. Let i(r) = r**2 - 7*r - 8. Let c be i(7). Let k be a(c). Let y = k - -4381. What is y rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 = -5*t - 2*x, -7*t + 11*t + 4*x + 144 = 0. Is -29 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/3*1)\/((-764)\/1146)*108\/279?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -276438072, -552876141, -829314210, -1105752279, -1382190348, -1658628417?\nAnswer: -1935066486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1474 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-18))\/(13\/(-858)*3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-27)*(-9)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 + 25 - 11 + 80*l + (3 - 3 + 2*l)*(3 + 2 - 3) - l - l + l to g + a*l and give a.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y - 1. Let o(i) = 7*i**2 + 4*i + 1. Calculate o(c) + 2*v(c).\nAnswer: 7*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 15150879.6 rounded to the nearest 1000?\nAnswer: 15151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - -6. Let z = -7039 + 7442. What is the greatest common divisor of k and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*3\/(-372) - 96840\/3720\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4*x**3 - 4*x**2 + 2. Let d(r) = r**3 + 1. What is -3*d(f) + z(f)?\nAnswer: f**3 - 4*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 210 = -3*k, 96 = 3*k + 2*j - 123. What is the remainder when k is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v, -780*c + 776*c - 3*v - 64 = v - 8*v for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v + 3*v**3 - v**2 - 9*v**3 - 5736 - 9*v**3.\nAnswer: -15*v**3 - v**2 - 2*v - 5736","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 147 divide 8447731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 59890830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8539, -9042, -9545?\n\"Answer: -503*w - 8036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69 = 4*n + 61 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 5*k - 144, -4*g + 8*g + 5*k = 184. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 880 - 3*p - 195*p**2 - 899 + 3*p + 19.\nAnswer: -195*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - -11) + (-6 + 13 - -3) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/24*(3\/7 - 93\/21).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 13*k**3 - 36*k + 19*k**2 - 187 - k**4 + 403 - 61*k**2 = 0.\nAnswer: -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -5.37  (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-9)*-3)\/(-5).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 388 a factor of 116196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 112035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of 2*x - 1\/6*x**2 + 1\/36*x**4 - 4 + 0*x**3. Let r(l) be the first derivative of k(l). Factor r(g).\nAnswer: (g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 3 + 5*n)*(9*n - 4*n + 7*n) + 4*n**2 + 2*n**2 - 3*n**2)*(3*n - 2*n - 2*n) to the form p*n**2 + u*n + i + h*n**3 and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**4\/6 + 52*i**3\/3 + 3*i**2 + 74*i. List the prime factors of a(11).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -270247175 and 3.\nAnswer: -810741525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (2 + -6 - (-2 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 5*k - 57. Let w be n(13). Let u(v) = v**3 - 6*v**2 - 20*v + 24. Let i be u(w). What is the nearest to -0.2 in -4, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + 11*i**2 - 24*i + 44. Let o be q(-13). Suppose -j = 2*d - 5*d - o, -10 = 2*d. Solve -16\/9*y**2 + 2\/3*y**j + 4\/9 + 2\/3*y = 0 for y.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i = -44*i - 93. Sort 4, 118, i in descending order.\nAnswer: 118, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2404699 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r. Let c(k) = -4*k. Determine c(h) - 8*x(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 - 22*p. Let f(u) be the third derivative of -u**4\/24 - 2*u**2 - 3. What is q(f(k))?\nAnswer: -k**2 + 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4342 + 2251?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -105 + (170 - (-82 + 166))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f. Let c be (1 - -2)\/(4 + -3). Let s(w) = -3 + 3*w**2 + c + 2*w**2. What is p(s(i))?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -713*g - 245. Let t be r(3). Which is smaller: -2383 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 280218526 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -116 - -76. Let u be k\/(-2 + (-2)\/(-2)). Let z be (-7)\/(-3)*(-18)\/(-147) + 228\/84. Solve -4*d + b - u = -z*b, -d = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 25*b + 55. Let k be m(-3). List the prime factors of 4\/k - (-8164)\/20.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 2\/(-6)*(10 + 0 - 8111104\/64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(189) - -3*sqrt(189)))\/((-1*sqrt(27))\/sqrt(9)*-6).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 33\/9 + 1\/3. Let d be 0 + -4 + 2 + s. Factor -a**2 + 5*a**d - 3*a**2 + 0*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(-2))\/((-8)\/(-6)). Let k be (-15)\/15*(5 - 4) + 8\/14. What is the closest to k in -5, 2\/13, c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, f: 5, p: 1, q: 6, b: 3, t: 3}. Give prob of picking 2 b, 1 q, and 1 p.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7578750 and 855000?\nAnswer: 1727955000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20552 + -25?\nAnswer: -20577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 14983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 10*y + 72. Give l(-14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 116 and 174?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/24 - -29\/120. Let y = -2.98 + 2.98. Which is the second smallest value?  (a) f  (b) y  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21*a**2*r**6 + 78090*a**2*r**3 + 85*a**2*r**2 - 38*a**2*r - 15*a**2 + r**2 + 2 wrt r.\nAnswer: -2520*a**2*r**3 + 468540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + 5*u + 1. Let z be x(-8). Let s = -4 - -6. Suppose 2*m = -3*m. Solve -3*i + s*g - z = -m*g, 4*g - 35 = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (20\/(-24))\/5 - 1\/(-6). Solve 25 = -r*m + 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -v, 0 = u - 5*u + 3*v - 4*v. Let f be -2*((-2)\/(-2))\/(-1). Sort -1, u, f, -4 in decreasing order.\nAnswer: f, u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3. Let k(p) = -6*p**2 - p + 8. Let x(a) = 4*a**2 + a - 10. Let g(o) = 5*k(o) + 4*x(o). Give 2*b(z) + g(z).\nAnswer: 2*z**3 - 14*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**2 - 11*p + 7. Let g be h(5). Let n = 13 + -10. Suppose 0*t - n*t + 51 = 0. Put t, -4, g in ascending order.\nAnswer: -4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -381 by 8830.\nAnswer: -381\/8830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75*m**3 - 56995*m**2 - 3800*m.\nAnswer: 5*m*(m - 760)*(15*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-seven halves of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16977 is divided by 396?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-27)\/2 - (-6)\/(-4). Let v be ((-6)\/g)\/((-4)\/6). Let r = v + 1. Which is the nearest to r?  (a) -6  (b) -5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -6*x + 3. Let d(a) be the second derivative of -a**5\/24 + a**4\/12 + a**3 - 7*a. Let i(r) be the second derivative of d(r). Give -4*i(b) + 3*j(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-52)\/3*(-11)\/(-11)*(-2754)\/(-408).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**(2\/9))\/q*((q*q\/((q\/(q*q**(-6)))\/q))\/q*q)\/q)\/((q**(-1)\/q)\/q)**(4\/5))\/((q\/(q\/(q**(1\/10)\/q)))\/(q*q\/q**(-2\/21)))**(-3) assuming q is positive.\nAnswer: q**(-6809\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 22917773.57 to the nearest one thousand.\nAnswer: 22918000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/85 or -107?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 16. Find the common denominator of (-95)\/8 + c + -6 and 47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*(-3)\/6*-37. Suppose -11 = d - r - y, -d = 4*r - 46. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 5*n**3 - 4*n**2 - 432*n + 9. Let t(q) = 2*q**3 - 2*q**2 - 215*q + 4. Determine -9*t(p) + 4*y(p).\nAnswer: 2*p**3 + 2*p**2 + 207*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 10224 = -o, -o - 20*g + 19*g + 10214 = 0. Let p be (-4578772)\/448 - 2\/(-7). Let m = o + p. What is the common denominator of m and -61\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 522 and 4986144?\nAnswer: 4986144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1*k*k)**(-1\/10)\/(k\/(k\/(k\/(k*k**1*k*k)))*k*k*k\/k**(-1\/4)))\/((k**(-1))**(-48)*(k\/((k\/((k\/((k**1*k)\/k))\/k*k))\/k*k)*k)**(-48)) assuming k is positive.\nAnswer: k**(-11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x + 2*x - 3*x + 1. Let h(m) = m + 3. Suppose 2*b + b = 12. Calculate b*a(w) - 2*h(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 1337 and 1337 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -268, -275, -286, -301, -320, -343?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -103 (base 12) to base 4\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4921 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (2 + -6 - (-13 - 8) - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v + 8. Let o(f) = -1. Let h(u) = -c(u) - 5*o(u). List the prime factors of h(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 10 + 0)*(2*o + o - o) + 0*o - 2*o + 0*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l. Let c(t) = 15*t. Let b(y) = -c(y) + 9*p(y). Let o be b(1). What is the units digit of 1 + 0 + (-24)\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) - (sqrt(91) - (-4*-5*sqrt(91) - sqrt(91))))\/(-3*(sqrt(7) - sqrt(63))).\nAnswer: 19*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -39, 14, 1.04, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 84710963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3820 + -3816. Which is the nearest to u?  (a) -5  (b) -0.089  (c) 5  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-17)*m**(-5))\/((m*m**10)\/((m**(-1\/6)\/m)\/m*m)) assuming m is positive.\nAnswer: m**(-205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.20044 + 0.2. What is f rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -48, -107, -178, -255, -332, -403?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17*s**4*z - 862*s**2*z - 9*s**2 + 34*z - 944 wrt s?\nAnswer: 68*s**3*z - 1724*s*z - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -192548048 + 192548048 + 4*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, j: 2, r: 5, d: 4}. Give prob of sequence ddd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-4)*6 + 0 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 82*f + 2*r - 824, -4*f + 6*r - 24 = 7*r - 66 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51160*o - u = -51159*o + 8, 0 = o - 3*u - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (832\/312)\/((-2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(20\/4)\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 7347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3*m + 32. Let d be r(6). Solve 0 = -3*q + 5*n - 4, 4*q = q - 4*n + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*p = -795 + 633. Which is the fourth smallest value?  (a) -3\/5  (b) p  (c) -4  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -56.5 and 0.0504?\nAnswer: 56.5504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 4*o**3 - 3*o**2 + 5*o - 5. What is k(3)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2163512 + 33?\nAnswer: 2163545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lvf when three letters picked without replacement from llfwfwvwrvlvlll?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 55383.0984 minutes?\nAnswer: 5.494355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7071*a**4 + 19577*a?\nAnswer: -84852*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -42*z + 37*z - 450000025. Let l be z\/25 + 2\/10. What is l rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -55 + 47. Suppose 0 = p + 4*k - 21, -5*p + 3*p = 2*k - 18. Put l, p, -4 in increasing order.\nAnswer: l, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 110210?\nAnswer: 110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - m = -25, 3*k - 32 = -4*m. Let x = k - -1. Suppose h - x*w = 4*h - 41, 5*h + 3*w = 47. What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**3*f**2 + 7*a**3*f*x**2 + 2*a**2*f*x + a**2*x**2 + 817*a*f**3*x + 183*a*f*x**2 + 2*a*x - f**2*x**2 wrt f.\nAnswer: 4*a**3 + 4902*a*f*x - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 46*g + 5. Let u(z) = -z - 1. Let m(s) = -2*u(s) + v(s). Let p = 23 - 15. Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.29l in millilitres?\nAnswer: 57290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 240\/(-432)*5\/(-25)*6\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 175 + 5?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/12820054 and -89\/208.\nAnswer: 102560432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -739*w**5 - 42*w**3 - 108*w**2 - 237*w?\nAnswer: -44340*w**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25864, -52270, -79212, -106690, -134704, -163254, -192340?\nAnswer: -221962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5*m + 16 = 0. Suppose -m*l + 15 = l. Let i be 14\/2 - (1 - 0). Solve -l*g = -j - j - 8, -2*g + i = -j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/((-21)\/(-9)))\/((-40)\/(-70)). What is the closest to 4 in 3\/7, 1, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-1*(sqrt(99) + 1 - sqrt(99)) + 3*(-2 + sqrt(99)))**2 - (((sqrt(99) + -1)*6)**2 + -5*(sqrt(99)*2)**2)).\nAnswer: -676 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 28 = -3*m, -3*f + 2*m + 2*m = -136. Solve -19 = 3*w + d, -2*w = 4*d + f - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3564 and 329391117?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.065, -0.4, 2, 3, 0.08, 3\/14 in descending order.\nAnswer: 3, 2, 3\/14, 0.08, -0.065, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2049*b**2 + 2*b + 2. Suppose 9*s - 6*s - 6 = -3*k, 0 = s + 3*k - 4. Is i(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 divided by -2202\nAnswer: -35\/2202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - (0 + 2\/(-1)). Suppose -2*a - 34 + 11 = -5*h, n*a = 3*h - 12. Let g(z) = 19*z + 1. Let p be g(a). Solve j + 12 = 4*l, 3*j = -3*l + l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -42*s - 251. Put -2, s, 2, 1 in increasing order.\nAnswer: s, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-8 - -18) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (1 + -13 - -2) + 20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -28, -53, -80, -109, -140?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1931, 1.8, -1.5 in ascending order.\nAnswer: -1.5, 1.8, 1931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.88 + 14.88. Which is the fourth smallest value?  (a) -0.4  (b) p  (c) -6\/23  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 16) in base 12?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/2 and 109\/1976.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, p: 4}. Give prob of sequence mp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 1:38 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 15, -k + 4*k = -3*z - 438. Let u = z + 210. What is the remainder when u is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -1161*o - 248936. Determine s(-214).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 2\/5, -5, -39, -6, 33 in increasing order.\nAnswer: -39, -6, -5, 2\/5, 1, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjlljyljsrr. Give prob of picking 1 s, 1 r, and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-339)\/(-9)*-1*45. Let u be 8\/(-36) - p\/(-27). Let v be (-18)\/u + 54\/7. What is the greatest common divisor of v and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*g - r = 21, 5*g - 2022 + 1004 = 2*r - 997 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001684 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(15)\/(sqrt(5)*3).\nAnswer: -3 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -78, -175, -326, -561, -910, -1403, -2070?\n\"Answer: -5*b**3 + 3*b**2 - 71*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 71 + -42. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 13*r**2 - 13*r - 5. Let l be n(14). Is 2\/l - (-42508)\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 1437877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-3 - 2\/(-2)). Let k(d) = -234*d - 1 + 16*d**2 + 6*d**2 + 236*d. Calculate k(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l + 15 = 8*l - 7*l, 0 = -3*q - 3*l + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 14 = -10*n. What is the derivative of 36 + 62 - 7 + n*r - 14 - 22*r**2 wrt r?\nAnswer: -44*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sum 0.12058 and -15.\nAnswer: -14.87942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 237 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(14\/5)*m**(-3\/8)\/m*m*m\/(m**(-19)*m)*m\/(m*m*m**13) assuming m is positive.\nAnswer: m**(297\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.54?  (a) -2\/41  (b) 2  (c) 0.325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 30021664 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 16201434277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48688 and 39712?\nAnswer: 7108448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 5*z + 20, -5*t + 5 + 9 = -2*z. Solve 2*h - 4 + t = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) - 5*(sqrt(119)*-2 - sqrt(119)))\/((sqrt(28)*1)\/sqrt(4)) - (sqrt(102)\/(-1*sqrt(6)) - sqrt(68)*-2).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3024 + -3025. Which is the nearest to 0?  (a) g  (b) 44  (c) -5  (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 29 = -3*o + 15, -3*a + 2*o = -16. Solve 0 = -3*m - 2*k - 7, 2*m = 5*k - 19 + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -1038?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 29*m**2 + 3*m + 3. Let t be (-2)\/(-1)*204\/(-24). Let n(l) = 10*l**2 + l + 1. Let a(k) = t*n(k) + 6*f(k). Calculate a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - 12*l - 67. Determine c(-16).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 3*y - 15, 31*y + 29*y = 56*y + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 6 = 2*x, -x = -3*o + 3*x - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2067327 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -596*w = -256*w + 1513*w - 124151 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4860456718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s + 1. Let d(h) = -7*h - 2. Suppose -z = -2*z - 1. Let q(y) = z*d(y) - 5*r(y). Let a be q(3). Is 5 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 280356 plus 26675639?\nAnswer: 26955995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 640 * -481\nAnswer: -307840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 4*x + 8, 8*v + 6 = 13*v - 3*x. Let i be ((-1)\/(-5))\/(1 + v\/(-7)). Solve 0 - 1\/5*w + 2\/5*w**3 + i*w**2 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -25, 5, -5, -4, -1692 in decreasing order.\nAnswer: 5, 0, -4, -5, -25, -1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 5*g**3 - 52*g**2 - 6*g - 11. Let y(z) = 4*z**3 - 51*z**2 - 5*z - 9. Give 5*j(t) - 6*y(t).\nAnswer: t**3 + 46*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n - 2. Let b(u) = -u**3 - 3*u**2 + 2. Let k be b(-2). Suppose -4*r + 15312 = -3192. Let z(w) = r + w - 4626. Determine k*z(v) + f(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**3\/3 - 7401*m**2 - 1636590*m - 4843152 = 0.\nAnswer: -216, -3, 22422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -19*x**3 - 42*x**2 - 192*x - 113. What is the tens digit of v(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1 - 0.2. Let j = g + -0.1. Let v = 3207\/38 - 169\/2. Which is the second biggest value?  (a) j  (b) -3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 5*g**2 + 8*g - 4. Does 19 divide s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y - 135620. Let k(i) = -i. Calculate k(v(r)).\nAnswer: -2*r + 135620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -138, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 353507399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -445.42386.\nAnswer: -436.42386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -l**4\/2 + 17*l. Let r(i) = -3*i. Calculate r(d(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxmexheeexx?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(243) + sqrt(243) + sqrt(243) + -1 + 4 - (sqrt(243) - (sqrt(243) + 1)*-3))**2*-2 + 4.\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 63647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32194 divided by 1.\nAnswer: -32194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 greater than or equal to 587\/141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2573*k**2 + 2573*k**2 - 7719*k**2 + 2572*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 845465 + 14?\nAnswer: 845479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 193 (base 16) in base 2?\nAnswer: 110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 839902856.\nAnswer: 2, 13, 8075989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6266 * -66.\nAnswer: 413556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1108653*l**3 + 148442*l.\nAnswer: 6651918*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of -7\/24*f**4 + 0 + f**2 + 3*f + 0*f**3. Let h(n) = 10*n. What is k(h(r))?\nAnswer: -70*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**3 + 4*g**2 - 4*g**2)*((0*g + 4*g - 2*g)*(g + 0*g + g) + 2*g - g**2 - 2*g + g - g - 6*g**2).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 331.7782 litres to millilitres.\nAnswer: 331778.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**3 - 2*n**2 - 3*n + 3. Let v be q(2). Solve v*z + 2*j = 4*j + 3, -3*j - 7 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1260280201.3403 - -1240750704.340227. Let t = a - -19529473. Let q = 24 + t. Round q to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3035592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*1878\nAnswer: -939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -g**3\/6 - g + 19. Let o(x) = 6*x + 8. Calculate -5*m(p) - o(p).\nAnswer: -p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/68 + -139\/204. Which is the biggest value?  (a) 3  (b) m  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7899887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/(-5))\/3*54\/243*-35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3\/4)*o\/(o\/(o\/o**(-1)))*o)**(-2\/127) assuming o is positive.\nAnswer: o**(-9\/254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 141 - 19. Suppose 0 = -2*v + 16 + g. What is the common denominator of 4\/(-8) - 81\/v and -49\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-1))**(-2)\/(c*c**(2\/3)*c**(-2\/7)))\/(((c**5\/c)\/(c**6*c))\/(c**(-4)\/(c*(c*c**0)\/c))) assuming c is positive.\nAnswer: c**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4260596999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - 12. Let g(f) = -f + 1 - 1 - u - 2. Let a be g(-5). Sort a, 4, 5.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24003 and 120015.\nAnswer: 120015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5667 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 8*r**2 - 9*r - 18. Let a be z(6). Let p(q) be the second derivative of -q**2 - 1\/6*q**3 - 3*q + a. What is the derivative of p(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -5*j + 290, 21*j + 68*t = 18*j - 3*t - 169 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31999 - -1567957\/49. Let t = 4.9 - -2. Let x = t + -7. Is f at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8063, -64416, -217321, -515036, -1005819, -1737928?\nAnswer: -2759621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 148*r**3 + 259 + 55*r**4 + 131*r**3 - 288*r**3 wrt r?\nAnswer: 220*r**3 - 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, -2, 11, 3, 1\/3 in ascending order.\nAnswer: -2, 0.07, 1\/3, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 410042?\nAnswer: 2, 61, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 - 5*a + 2. Let f be l(4). Let x = f - -3. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4985 - -10064. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 4 = -12. Suppose t*k - 3*k + 3*s = 2, 4*k = -4*s + 24. Suppose -k*d + 12*d - 16 = 0. Solve 0 = -2*g + d*o + 14, -3*o = -0*o + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/4*(34 - (-2744)\/(-84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29 - 90181670.71.\nAnswer: -90181641.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -156*b**3 - 7*b - 3. Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -5 + -19 - (-8 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-4)*i\/i**(-1)*i*(i\/i**(-14\/5))\/i*i\/(i*i\/i**(-1\/9)*i))**(-19) assuming i is positive.\nAnswer: i**(-589\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 44 = -5*m. Let q(r) = -8*r + 33. Let w(o) = 3*o - 11. Let i(h) = m*w(h) + 4*q(h). Is i(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 817*n + 90100 = -985*n for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 4:38 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r + 2. Let w(a) = 4*a**2. Calculate f(w(l)).\nAnswer: 4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-4 + -3 - -2) + 49 + -66?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(8 - (1 - -3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140505.\nAnswer: 3, 5, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*l - 11*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (9 - (16 - 8))) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -170 + 163. Is -1 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -326.903 + 327.103. Let g = 0 + 4. What is the third biggest value in -8, z, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j**3 + 2*j**2 - 2*j - 1. Let s = 338 - 334. Suppose 5*o - 1 + 25 = -2*w, -4*w + s = -3*o. Determine i(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 969544585.\nAnswer: 5, 97, 1999061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x - 8 - x + 0*x.\nAnswer: -4*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -2, -3, 11 in increasing order.\nAnswer: -3, -2, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/319 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -99014 + -1?\nAnswer: -99015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3080461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 38*y - 42*y - 3*p + 209, -2*y + 2*p + 94 = 0. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -25 + -58 + (-11 + 11 - 1).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -c - 3*c. Let d = -25 + 28. Suppose -d*f + 2*y + 96 = 0, -c - 9 = -f - 4*y. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 35 + -23. Calculate the remainder when 20 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/19860 and -49\/6.\nAnswer: 19860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -146 + -5?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 2*j - 39, 3503*w + 234 = 10*j + 3497*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*l**2*n - 33*l**2*u + 2*l**2 - 6*l*n**2 - n**2 + n*u**3 - 16*u**3 wrt n.\nAnswer: 3*l**2 - 12*l*n - 2*n + u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of j**3\/6 - 2*j**2 + 4*j. Let a be u(8). Suppose a*k - 38 = 138. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2688)\/1568)\/((-20)\/(-14)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/7 + 526*w**2\/7 + 1552*w\/7 - 2080\/7.\nAnswer: 2*(w - 1)*(w + 4)*(w + 260)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -8*y. Let a(p) = p**2. Calculate c(a(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 430*p**2. Let w(b) be the first derivative of 2*b**3\/3 - 858. Give w(z(i)).\nAnswer: 369800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3, 28\/41, -6?\nAnswer: 28\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 686815295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -41000 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1839 - -1833. Let a(q) = -q**2 + 2*q + 38. Give a(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 2*m + 27 = 0. Solve i = -2*z + 4*z - 1, -1 = -m*z + 2*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*y + 4*x, 0 = 3*y - 7*y + 4*x + 16. Solve -o - 14*o - 15 = y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 21*g**2. Let w(v) be the second derivative of v**4\/2 + 2*v - 216. Calculate t(w(o)).\nAnswer: 756*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 4*l + 8. Suppose 0*v - 134 = -l*v. Suppose -n - 3*b = -v, -3*b = 2*n - 4*b - 106. Calculate the remainder when n is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3195)\/(-497)*36\/(-27)*(-14)\/(-3)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**15*o*o)\/(o\/o**(2\/47))*o**(9\/5)*o**(-2\/13) assuming o is positive.\nAnswer: o**(-34556\/3055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 118 = 2*p, -3*n + 93 = 3*p + 300. Suppose -13*i = 6 - 6. Is i bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.6 - 0.7. Let i = 3.4273 - -0.0427. Let f = i + b. Round f to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*(sqrt(76) + 0) + -4)**2 + (-1*sqrt(19)*6 + -2 - ((sqrt(19) - (-1 + sqrt(19) + 0)**2) + 0)).\nAnswer: -105*sqrt(19) + 2770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 819 - -204. What are the prime factors of n?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**2 + 3*b**2 - 9*b**2 - b + 3*b**2 - 4*b**2 - b**2 + (2 - 4 + 0)*(-3*b**2 - b**2 + 5*b**2) - 2*b**2 + b**2 + 2*b**2)*(-b**2 + b**2 - 2*b**3).\nAnswer: 2*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x. Let k(m) = 9*m - 18. What is -k(l) - 2*w(l)?\nAnswer: -11*l + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k + 2*k + 0*k + (0 + 0 + 2)*(5*k + 5 - 5))*(6*k + 1 - 1) to g*k + h + d*k**2 and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-5 + -4 + (sqrt(228) + -2*(sqrt(228) - 2*sqrt(228)) + sqrt(228) - sqrt(228))\/(3*sqrt(12)*3))**2.\nAnswer: -6*sqrt(19) + 775\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**2 - 2 + 2)*(2 + 4 - 2) + (2 - 1 + 1)*(3*j**2 - 2*j**2 + j**2).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 60 + 52, 4*k = 5*b + 2236. Calculate the highest common factor of 2115 and k.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1199 and 4.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55266937 + 55266937 + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 4*m - 20 = 0, -4*b - 10*m - 44 = -12*m. Are b and -18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 46 - 716 = 0. What are the prime factors of t?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -14. What is the remainder when 18 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 - 35 - 37 + 90 - 108*s as u + k*s and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -m**2 - 10*m - 470. Let l(y) = -350 + y + 339 + y - 4*y. Calculate -6*l(a) + 7*s(a).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 193 or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-4)*z*(z*(z*z*z*z**(1\/3))\/z)\/z)\/(z**(-1)\/z)**38)**16)**(-30) assuming z is positive.\nAnswer: z**(-36160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1933*v**3 + 2195*v?\nAnswer: -11598*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72, -94, -136, -204, -304, -442, -624, -856?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31 - -55035021?\nAnswer: 55035052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-6))\/(2\/2). Suppose -4*g + 4*a + 2 = -6, -16 = -4*g - 4*a. Suppose -p*o**5 + 1 + 7\/2*o - o**4 + o**g + 4*o**2 = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*m**3 + 21*m**2 - 3*m**3 + 7*m**2 + 4 - 3.\nAnswer: -46*m**3 + 28*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -243224412 (base 5) to base 9.\nAnswer: -2140678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 + (-10)\/((-60)\/42) and 23?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -14290.\nAnswer: -1\/7145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 767880 a multiple of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3875 from 288853.7679.\nAnswer: 292728.7679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(-1\/2)*c*c*c*(c*c**(-3\/4))\/c)**30*(c**(4\/9)\/c**(-2\/9))\/(c**(1\/2))**28 assuming c is positive.\nAnswer: c**(595\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 13690500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 27, 1\/11, 0.03?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vqjjjpqzwjqvj. What is prob of sequence wpv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4*w + 6 + 28 = 0, w - 9 = -2*n. Calculate the greatest common divisor of 133 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from nwptwopwtwtpnp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -78 - -80. Suppose j*v = 2*z + z - 8, 5*v + 2 = 3*z. Calculate the smallest common multiple of z and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 - -2*(32 + 2). Suppose 3*k + q = 8*k. Let d = 1 + k. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 25 = -2*l + 4, 5*l - 65 = 5*j. Let n be l\/(-15) + (-52)\/(-6). Let d(f) = -142*f + 423. Let p be d(3). Sort p, -4, n.\nAnswer: -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.44 + -1.44. Which is the second smallest value?  (a) 1\/5  (b) p  (c) -0.01  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.6221 - 16.653. What is g rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 12 = -5*b, 5*b - 3*b + 7 = 3*z. Let d be b\/(-5) - (-8)\/40. Factor 9\/5 - 24\/5*m + 0*m**3 + 18\/5*m**2 - d*m**4.\nAnswer: -3*(m - 1)**3*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52419*p + 7 = -52420*p - 4*j, -4*p + 2*j + 26 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 4)\/((-7)\/7). Let t(j) = 3*j - 1. Let l be t(3). Let o = l - c. Solve -2*k + 25 = -o*q + q, -2*k + 2*q = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 290, 585, 880?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 AM and 3:23 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.69 and 104.003?\nAnswer: 279.76807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*q = -49*q + 2352. Calculate the remainder when 187 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1055 + 882 - 2160)*(-5 + 2 + 1)*(-4*q + 1 + 2 - 2) to the form l + k*q and give k.\nAnswer: -1784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 + -9. Suppose 0 = 3*z + 4*d - r - 20, 3*d = -z + 17. Let s = 15 + z. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 365 is divided by (-31)\/(-124)*-6*-106*(1 + 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.884 + 4.8. Let z = i + 1.084. Which is the nearest to 4?  (a) -2  (b) 1\/7  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*v + 5*v + 6 = 0, -3*v = -3. Let z(u) = -969*u**3 + 133*u**2 - 133*u + 133. Let b(n) = -22*n**3 + 3*n**2 - 3*n + 3. Calculate s*z(p) + 133*b(p).\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.5761 millennia in years?\nAnswer: 47576.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 4. Let b be (0 + 1)\/(d\/10). Let m = b + 5. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -454789.0815583 + 454789. Let c = -0.0815 - f. Round c to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3*m - 3)*(2*m**3 - 2*m**3 - 2*m**4) + 0*m**2 + 0*m**2 + 2*m**5 + 2*m**5 + 2*m - 2*m.\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 - 40*w**2 + 75*w - 31. Let y be p(38). Is y != -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -5*l**2 + 4*l - 8. Let t(o) = -o**2. Let c(q) = -k(q) + 6*t(q). Let z be c(-5). Let a(w) = 279*w - 19. Is a(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -289*y + 2189. What is the tens digit of v(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.2, -0.245561, 0.05 in ascending order.\nAnswer: -0.245561, -0.2, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 + n. Let f(o) = 177*o**3 - o**2 + o. Give -f(a) + x(a).\nAnswer: -177*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/((-135)\/(-6)) + (-2086)\/120 and -101\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + d = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 3*x**5\/5 + 15*x**4 + 19*x**3 - 190. Factor p(d).\nAnswer: 3*d**2*(d + 1)*(d + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7520072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33614 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(832)*-6)**2.\nAnswer: -288*sqrt(13) + 29961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppmcccc. What is prob of picking 1 c and 1 p?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -0.5, 4\/9, -12, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 90317395171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*l + 26*l + 68*l - 445*l**2 - 114*l.\nAnswer: -445*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -2  (b) -2\/11  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15894 + -111262\/7. Let o = -74 + 54. Sort y, 2\/7, o, -3.\nAnswer: o, -3, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-189)\/(-6)*2\/3. What is the common denominator of -21*(-1 + n\/15) and 91\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/15 - (-24)\/10. Let u = 1144 - 1981. Let t = 840 + u. Solve a + h = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 13334 - 39418 = 0. Suppose 30954 = 2*l - 5*b - u, -5*l - b = -93870. Is 13 a factor of -2 - ((-2)\/9 + l\/(-81))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (6720\/(-8))\/28 - 14*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15017 - 15017.04094. Round n to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of x**6\/24 - 13*x**5\/6 + 30*x**4 + 436*x**2. Let k(o) = 0. What is o?\nAnswer: 0, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 3*m + 15. Let k be l(2). Which is the nearest to k?  (a) 0.2  (b) -7\/5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.028?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7871.999988415 - 7872. Round p to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/12*12\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 9*i**2. Let z(t) be the second derivative of 4*t**4\/3 - 21*t - 3. What is u(z(x))?\nAnswer: 2304*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 x, and 1 w when four letters picked without replacement from nsxnhhwnxhnw?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(3\/2))\/(i**(-4)*i))\/(i**(2\/19)\/(i**(1\/18)*i)))**(-2\/59) assuming i is positive.\nAnswer: i**(-20\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 11*q + 10. Let z be p(-11). Let r(i) = -2*i**3 + 20*i**2 + i + 14. Let d be r(z). What is the greatest common factor of d and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*g = -85*g + 40. Let j(p) = -p**3 + 4*p**2 + p. What is the remainder when g is divided by j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, o: 5, g: 3}. Give prob of sequence qoog.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + -0.4. Let j be (-31)\/84 - (-2)\/7. What is the smallest value in j, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6242 (base 8) to base 15.\nAnswer: -e59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {x: 1, u: 2}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 5, -0.3, -29 in descending order.\nAnswer: 5, 3, -0.3, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 346033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g. Let i(h) be the second derivative of 109*h**3\/2 - 485*h. Give s(i(u)).\nAnswer: -654*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 - 2*k**2 + 3*k + 4. Let j be r(-3). Let v = 8 - j. Suppose -v*o = -0*o + 16, 66 = 2*s + 2*o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -768, -2787, -6746, -13299, -23100?\nAnswer: -36803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 - 7.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = -5*g + 9, -3*b + 2*g = 1 - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10170*p + 10192*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -104 + 106. Let c be 4 - (-4 - -4)\/y. Solve 3*t + 3 = -2*l, -3*l + 5*l = -c*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -2*b - 3 - 2, -2*b - 10 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29.908*-485.\nAnswer: 14505.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34242 is divided by 1070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 122 - 107. Let d be z\/(-30)*0\/2. Let u be (d - 1)*(22 - 22). Solve 3*i = -u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/216 and -121\/797688?\nAnswer: 797688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1 + 1 + 2403 + -13?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*-2.879537\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 + -11. Let o = d - -1. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a + 96 = -2*w + 4*a - 2*a, -384 = -4*w + 15*a - 23*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -985.815 - 1.185. Let p = 985.669 + h. Let j = p - -0.141. What is j rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.081, -67, 0.5, 0.3, -5?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 12, v: 1}. What is prob of picking 3 u?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 220\/(-704)*130\/(-325)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3\/7 - 4*d**2 - 38*d\/7 + 60.\nAnswer: -2*(d - 3)*(d + 7)*(d + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 1:58 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -61\/3 - -20. Let j = 2.976 + 0.024. Which is the nearest to 0.2?  (a) h  (b) 0.2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 3*t = 29, v + 119 = t + 126 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1000 divided by -6.\nAnswer: 500\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*r - 93*r = -35, 0 = q + 5*r - 15405. What is the highest common factor of q and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 134 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*i**2 - 6 - 14*i - 12*i**2 - 23*i**2 - 2*i**3 + 6 - 1 wrt i.\nAnswer: -12*i - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -400 + 385 - (-34 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*g*o**3 + 68*g*o**2 + g*o - 178006*g + 442005724*o**3 wrt g.\nAnswer: -7*o**3 + 68*o**2 + o - 178006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 2\/15 + 624\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -37d839 (base 15) in base 5?\nAnswer: -1141200404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -1\/3*v**3 + 1 - 31\/2*v**2 + 41*v. Give s(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 6:12 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*h**3 + 52*h - 64*h + 39*h wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1822 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 3*c + 460, -3*o - 4 = -16. Suppose 0 = x - 5*h - 271, 4*x + 0*h = -3*h + 1084. Let w = c + x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 4*j**2 + 2*j - 6. Let h be y(4). Suppose 0*m + h*m = 10. Suppose -u - m*o = 2 + 8, -o = 3*u + 2. Let f(g) = -g - 9. Calculate f(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3338 and 104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 7, u: 1, c: 3, g: 4, d: 4}. Give prob of sequence cd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwwwwwwgwwww. Give prob of picking 3 w.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.234 + 18.966. Let v = j - -1.8. Let u = 20.999856 - v. What is u rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 322\/237 + -2\/79. Suppose 478*a + 2 = 479*a. Factor 0 - 1\/3*z**3 - 4\/3*z**a - v*z.\nAnswer: -z*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 11 + 29*v + 84 + 124 - 30*v. Let d = -9 + 46. What is the remainder when k(0) is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 6 + 3. Which is the closest to 1\/5?  (a) -0.1  (b) 3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f. Let v(q) = -3*q**2 + 47. Determine w(v(k)).\nAnswer: 6*k**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 3 = 4*t. Let s be 5 + 2 + (-3)\/t. Suppose -x + 0*x = -s. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94389221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -373, 1213, 3849, 7535?\n\"Answer: 525*f**2 + 11*f - 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11013 (base 7) to base 15.\nAnswer: c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 10. Suppose i = -8*w + 13*w. Suppose 4*k - 600 = 4*d, w*d - d - 746 = -5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(245) + sqrt(35)\/sqrt(7) + -4 - ((4 + sqrt(20) - sqrt(20)\/(sqrt(4)*1)) + 1)) + 0)**2.\nAnswer: -504*sqrt(5) + 4001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1357, -1, -12, -2, -4 in ascending order.\nAnswer: -12, -4, -2, -1, 2, 1357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 255060*11\/((-66)\/1400). What is v rounded to the nearest 1000000?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n + 2*n - 4*n)*(-n**2 + n**2 + 8*n**2).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 - 48. Suppose 590 = 4*u + u. Let j = y + u. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 477 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14457 - -3?\nAnswer: -14454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -3*k + 8748, 11664 = 26*k - 22*k + 3*a. What are the prime factors of k\/7 - (-27)\/63?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15598.\nAnswer: 2, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -91570.126 - -91431. Let s = o + 0.126. Let t = s - -139.0114. What is t rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + 0 - (sqrt(27) + -1))**2 - (sqrt(21) - (-1*sqrt(2541) - sqrt(21) - sqrt(21)))\/sqrt(7).\nAnswer: -18*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(320))**2*3 + 3 + sqrt(125)*5)*-4.\nAnswer: -3852 - 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -285?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 2:10 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -18*m**2 + 35*m**2 + 4*m**2 + 36*m**2. Let v(o) = 2*o. Determine v(h(r)).\nAnswer: 114*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 7*b - 16 = 4*p, 0 = 5*b + 3*p - 12. Let h be 4 - (1 - 3\/b). Solve -1 + 49*v**5 - 2*v**h - 47*v**5 + 1 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 9*u**2 + 12*u + 5. Give o(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 8:11 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-35)\/6))\/(24\/(-42))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 5*g**2 + 4*g + 7. Let u be w(6). Let o(q) = -2*q. List the prime factors of o(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -0.5. Let l = -0.5 + m. Suppose -1638*x + 759*x + 2448 = -828*x. Is l at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 9 + 15 + (-3 - 1 + 3)*(-4 + 1 + 0))*(-37*l - 1 + 1).\nAnswer: -444*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 48282144473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1667 is divided by 236.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 63\/110 + -4\/55. What is the biggest value in o, 13, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7996854.\nAnswer: 2, 3, 79, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/15*(-3)\/3*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 - 0. Let w = 0.162041778 - 11.162040478. Let z = b - w. What is z rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/8 and 131\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 66864 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 10:13 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(3 + 0 + -2). Let y be (-2)\/1 - (j - -4). Suppose 2*g = -y*g + 44. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13469.6 + 13469. What is the fourth biggest value in 0.3, 14, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6050 + -5996 - (14 + 1 + (-2 - 1)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 <= 4952\/337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 625557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8 - (-5 + 2))*-1. Sort 0.1, -0.05, j in decreasing order.\nAnswer: j, 0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 9. Let s = 0 - 0. Sort s, g, 0.1.\nAnswer: g, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 6) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/110 and -101\/242?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cctwckktcwtctkkzwkz. Give prob of sequence ztk.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 8:17 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 60\/161 - 2\/23. Which is the third biggest value?  (a) 0  (b) 3\/5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-1)*15\/(-9)*-21. Suppose -120 = 2*n - t. What are the prime factors of n\/(-50)*128\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1203594623?\nAnswer: 7, 11, 23, 31, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 56417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5009, -5013, -5019, -5027, -5037, -5049?\n\"Answer: -f**2 - f - 5007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -15*f**2\/4 + 54775*f\/4 = 0.\nAnswer: 0, 10955\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.26 - 0.26. Let v = -0.1 + j. Let d = 0.3 - -0.2. Which is the smallest value?  (a) v  (b) -0.2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 3  (b) -1602  (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22256640 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001143 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/2, 29, 32.4?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -81 + 4?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*r - 5669, 2*r + 5*b = 3*r - 1386. Suppose -18*q = -q - r. Is q at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 226 + -121. Let v = 95.8 - k. Let y = -9 - v. Sort y, -0.1, -0.4 in ascending order.\nAnswer: -0.4, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4079475 - -4079483.999995. Let f = 119 - 128. Let d = f + c. What is d rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 42.8 + -34.8. Sort -0.7, p, 3 in decreasing order.\nAnswer: p, 3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12805*w**3 - 271*w**3 + 4*w**2 - 4*w**2.\nAnswer: 12534*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**5\/9 + 230*g**4\/9 - 3152*g**3\/9 - 6216*g**2 + 91776*g - 282624 = 0. Calculate g.\nAnswer: -16, 6, 23, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 124 + -77. Let w = n - 47.3. What is the nearest to 1 in 0.4, w, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000101520615 rounded to seven decimal places?\nAnswer: -0.0001015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/13)\/o*o\/(o**(-5)*o*o))\/(o*o**(1\/2)*o)**11*(o**(-1\/2))**(14\/15)\/(o**(-4)*o\/(o\/(o\/(o\/o**3)))) assuming o is positive.\nAnswer: o**(-9017\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 AM and 5:13 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -131494019 - 56.06.\nAnswer: -131494075.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 17637*g - 211491. Calculate p(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -8. Let q = l + 4. Suppose 0 = -q*s + 3*s - 165. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 - 20. Suppose w*j = -2*b + 88, 0*b - 2*b + 78 = 4*j. Suppose -4*g - 23 = -91. Calculate the remainder when b is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -773 + 779. Suppose -17 = z*d - 827. Does 62 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110101010001011 (base 2) to base 16\nAnswer: 6a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -389 + 265. Let v be q\/(-155) + (-31)\/(-5). Let l be 3\/(6\/49)*2. Calculate the highest common factor of l and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 + 3550*u**2 + 8249*u**2 + 3413*u**2.\nAnswer: 15212*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 7*v**2 + 10*v + 36. Determine z(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 1:27 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -100 + 98. Which is smaller: -0.1088 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5a - 11097?\nAnswer: -1103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 0 - 1\/168*i**7 - 1\/12*i**4 + 1\/40*i**6 + 0*i**5 - i + 0*i**3 + 0*i**2. Factor p(y).\nAnswer: -y**2*(y - 2)**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 22\/5 + 2\/(-5). Suppose -2*h + 10 = -2*c, -h = -4*h + c + 11. Suppose -8*f = -n*f + 3*d + 9, -9 = -h*f + 3*d. Solve f = p + p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 12) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {u: 2, g: 3, h: 5, n: 1, s: 1, d: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1218901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1479 + -1479.2. Let g = 3 + -2.5. Which is the nearest to v?  (a) g  (b) -0.3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eqx when three letters picked without replacement from {c: 1, q: 1, e: 3, v: 3, y: 2, x: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-20) - (-114)\/(-15). Let a be ((-52)\/(-2) - 1)*(-37)\/111. Which is bigger: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - (20 + (-43 - 56))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -413?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(19) + -4))**2 + 5.\nAnswer: -72*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*g**2 - 114*g**2 + g - 107*g**2 + 345*g**2 - g.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*s**4 + 225*s**3 - 2235*s**2 + 4735*s + 7200 = 0. Calculate s.\nAnswer: -1, 5, 9, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x. Let y(l) = -52*l**2 - 104*l. What is 104*g(f) + y(f)?\nAnswer: -52*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 6:02 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -475 - -880. Suppose 0 = 4*x - 20, -5*t + 0*t + 2*x + g = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -3*h**3 - 2*h**2 - 3*h - 2. Let p be u(-1). Let l(w) = -14*w**2 + 1 - 5 + 5*w + 16*w**p. Calculate l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -25*y**3 + y**2 - 3. Let a(p) = p**3 - p**2 + 1. Give a(n) + j(n).\nAnswer: -24*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**2 - 4*v**3 - 2*v + 4*v + v**2 + (v**2 + 0 + 0)*(2*v + 3*v - 4*v).\nAnswer: -3*v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -250*h**2 - 5 - 284*h**2 + 5.\nAnswer: -534*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6.62, 2, 5?\nAnswer: -6.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-16)\/(-7) - 2)*-2. What is the second smallest value in -3, 2\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 n, 1 h, and 1 w when four letters picked without replacement from hjnwjsi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -20653 (base 13) to base 9\nAnswer: -87751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of 0*m**3 + 0*m - 3\/2*m**2 + 3\/2*m**4 + 0*m**5 + 3 - 1\/2*m**6. Find l, given that v(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*f = -7 + 57, -3*n = 4*f + 30. Let r be 266\/(-5*4\/n). Calculate the greatest common divisor of 76 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23498 - 23461.13. Round x to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 150642 and 630.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 217\/26, 1.6, 447 in descending order.\nAnswer: 447, 217\/26, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 + 19*i - 333. What is a(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 2*m + 3169, h - 282 = 4*m + 359. What are the prime factors of h?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of 3*q**5\/20 + 5*q**4\/12 - 8*q**2. What is the second derivative of k(c) wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -76 - 71. Let k be s\/(-9) + (-3)\/9. Suppose 5*q = -2*g + 48, 0 = -g - 5*q + 18 + k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2056.1*-18\nAnswer: -37009.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-3\/2))\/g**5)**(1\/85)*(g\/g**(-4)*g**(-7))\/(g**(-2)*g)**(-20) assuming g is positive.\nAnswer: g**(-749\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2524055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-109856)\/(-13732)*(-11)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -5*j**3 - 78*j**2 - 40*j - 114. Give h(-15).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27113 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q + 577760*q**2 - 5*q + 11*q - 577763*q**2 - 2*q - q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + 4*q - 1. Let s(h) = 228*h**2 - 760*h + 190. Let o(x) = 8*s(x) + 1520*v(x). Let t(y) = -6*y. Calculate t(o(j)).\nAnswer: -1824*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -848*v - 4 + 1328*v + 4 + (3*v - 2*v + 2*v)*(6 - 3 - 2) as u*v + y and give u.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-1\/3)*i)\/(i**(-9\/5)*i) assuming i is positive.\nAnswer: i**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4356082324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in -2\/19, -0.2, -13, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 143 = -3*o, -27 = -h + 2*o - o. Suppose 0 = -8*p + 11*p - 240. What is the highest common divisor of p and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - 49*r**2 - 106*r + 168. Is 23 a factor of b(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-57) + 108\/57. Let n(h) = 5*h - 8. Let f be n(o). Solve -3*c + 3*b = -2*c - 8, 0 = -5*c - f*b - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -5. Let x be 2\/(-12) - 5\/24. What is the smallest value in x, u, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/10)\/((-25)\/(25\/(-2)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 3*a - 1. Let r(w) = 46*w + 9. Give -r(q) - 6*v(q).\nAnswer: -64*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -4. Let j = v + 0.1. Let y = -24 - -23.9. Are y and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24241403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 290039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 137822 take away 1.4?\nAnswer: 137820.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18099 - 15814. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 468*s**5 - 2166*s**4 + 2*s**3 + 91397*s**2 wrt s?\nAnswer: 28080*s**2 - 51984*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 3149*o**2 - 5899*o**2 + 2 - 2 in the form d*o**2 + q + r*o and give d.\nAnswer: -2750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4. Let q(n) = -3. Let x(o) = -3*q(o) + 2*t(o). Let m(y) = 3*y - 3. Determine m(g) + 3*x(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15249, -30505, -45753, -60993, -76225?\nAnswer: -91449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-4*(sqrt(171) + -1))**2*1*3.\nAnswer: -2592*sqrt(19) + 74304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 456.1234ml?\nAnswer: 0.4561234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1668974, -3337947, -5006920, -6675893, -8344866, -10013839?\n\"Answer: -1668973*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -204*w. Let j(p) = -8056*p. What is v(j(m))?\nAnswer: 1643424*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -25. Solve t = -0*f - 5*f, 9 = -4*v - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-5)\/(x**(2\/3)\/x)*x**(-2\/5)*x**(-1) assuming x is positive.\nAnswer: x**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2783 at most as big as -2298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4656 is divided by 187?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -248 + 246. Let j(v) = -9948*v + 65. Is j(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/9*-117)\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20782*c**2 - 10126*c**2 - 9925*c**2.\nAnswer: 731*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 488429738 and 12524?\nAnswer: 6262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zsczzzhzzhzzhrzzzzzz. What is prob of sequence hhs?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 54\/11 and -41\/17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 - 13*j**2 + j + 13. Let b be u(-13). Let m be b + 2 + 1 + 3. Is 3 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**4 + 2*s**4 + 2*s**4 - 3*s**4 - 2*s**4 + 3*s**4 + (3*s**3 + 3*s**3 - 4*s**3)*(2*s - 2*s - s) + (1 - s**2 - 1)*(-1 - s**2 + 1))*(4*s - 2 + 2).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 24*i = -51. What is the highest common divisor of i and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 68\/13683705 and 37\/43.\nAnswer: 588399315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 548394 and 1386.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -8 - (6 + -10 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1411212 + 1200?\nAnswer: -1410012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (54\/(-90))\/(-2 - 8\/(-5)). Suppose 0 = -f - 3*f + 5*w, f - w = 0. Which is the nearest to -0.1?  (a) p  (b) -0.3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-1 - (-39)\/42). Let z = -11 - o. Sort 5, z, 2 in ascending order.\nAnswer: 2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1359546 is divided by 6504?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-1\/2)*t**(-25) assuming t is positive.\nAnswer: t**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 213*o - 111*o - 98*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 23*t**2 + 29*t. Let l(b) = 9291*b**2. Determine h(l(z)).\nAnswer: 1985421663*z**4 + 269439*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 7:57 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-416)\/132 - 14\/77. Which is smaller: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3*m - 12. What is q(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 5*x**2 + 17*x - 71. What is z(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13797.5 - 24676. Round a to the nearest 10.\nAnswer: -10880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13.8 * 3.034.\nAnswer: -41.8692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1705 + -1436. Calculate the remainder when k is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 9:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**3 + 9*l**2 - 41*l - 187. Give f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -63*i**2. Suppose -4*c + 2*h + 2 = 0, 0*c - 4*h = 4*c - 20. Let j(o) = -2*o**c + 573*o - 289*o - 284*o. Calculate j(f(p)).\nAnswer: -7938*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 61*o - 3. Let g(h) = -30*h + 1. Let x(s) = 13*g(s) + 6*w(s). Let p(f) = f + 2. Let u be p(-6). Is x(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 160 - 242. Let x = g - -82.0000282. What is x rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*j - r, -2*j + 2*r + 12 = 2*j. Suppose 12 = -2*q - 3*i, 4 = j*q - 4*q - i. Solve -13 = -3*u - 0*k - 5*k, 3*u + 2*k - 7 = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*d = -685*d - 8444 + 2092 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -19*p + 442. Suppose -p*o - 145 = -33*o. What is the remainder when o is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2022 (base 8) in base 7?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*c + 8*c - 5. Put c, -44, -1 in decreasing order.\nAnswer: c, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136\/7*z - 10\/21*z**3 - 48\/7 - 124\/21*z**2 = 0 for z.\nAnswer: -6, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7714 is divided by 968?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - (-1 + 2)) + 39. What is the tens digit of (-15)\/1*w\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7.374 - 7.474. Is p greater than or equal to 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 2*z - 2*z**2)*(645*z + 99*z + 3*z).\nAnswer: -1494*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 + -16. Suppose -3*b + s = 0, r + 3*r - 4*b + 24 = 0. Let k = 127 - 633\/5. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 18 - 10 = 0. Suppose p*r - 9*r - 142 = 0. Let g = r - -122. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.03 rounded to one dp?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 17\/8, 3342, 2?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 1. Suppose -4*a = -f - 11. Suppose -1 + a = b. Solve -b*l = l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1097 and -2.\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 14) + 690\/46?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 155140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 k when three letters picked without replacement from {b: 4, j: 3, t: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 115 - 4603?\nAnswer: -4466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/264 and -83\/610911?\nAnswer: 53760168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 + -57\/2. What is the nearest to q in 5\/3, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 16*i - 44. Let l be b(-12). Suppose 3*a - z - 15666 = 4*z, 2*z - 20914 = -l*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-2))\/((-25824603)\/2869400 - (4 - 13)). What is s rounded to the nearest 10000?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 1 = -0*v, -4*b - 3*v + 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*(-45)\/18 + 53\/(-11). Let s = -11 + 5. Let f(b) = b + 6. Let o be f(s). What is the nearest to -2 in -2, o, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8  (b) -0.5  (c) 64683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/3  (b) -2\/15  (c) -4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p + 493 - 244 - 249.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r = 14*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -12*h**3 - 30952816*h**2 - 226986608*h + 165081216 = 0?\nAnswer: -2579394, -8, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10865 - -10937. What is the greatest common divisor of 872 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7841739 and 69867?\nAnswer: 3327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30489\/67580 + -1\/2180. Calculate the common denominator of l and 13\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2184 divided by 7?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9200743 rounded to the nearest ten thousand?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-2)*(-9)\/(-225)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 22*(-1)\/(-5) - (1836\/90 + -21). Solve -w*f + 10*f - 5 = 2*n, 4*n + 15 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**5 - 4205*p**4 - 881995*p**3 + 886205*p**2.\nAnswer: -5*p**2*(p - 1)*(p + 421)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 370 + 7463*t**3 - 370.\nAnswer: 7463*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1071430 is divided by 56391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -71. Let c = w + -39. Suppose -5*z + c = -5*d - 30, d - 4 = -4*z. Let k(x) = x - 2. Let t(u) = u - 3. Calculate d*k(f) + 5*t(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-12)\/q)**4*q\/(q*q**(-18))*q**18)**(-12) assuming q is positive.\nAnswer: q**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of c**7\/70 + 25*c**3\/3 - 7*c**2 - 2. Find the first derivative of o(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 4536?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -35640 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2111222122010 (base 3) to base 9.\nAnswer: 2458563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 381 and 2006.\nAnswer: 764286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 28745 equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*o + 7*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 12:41 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvevvvvvvvvevvg. Give prob of picking 1 v, 1 g, and 1 e.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*g - 46 = 20. Suppose -g*f - 8 = 2*f, 0 = -5*h - f - 2. Solve 5*r = -w - 16, 2*r + h*r + 4 = -w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -6663?\nAnswer: 7\/6663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 35*n - 10*n - 6 - 40. Let j(p) = p**3 - 2*p**2 - 12*p + 25. Let f be j(4). Does 34 divide v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, h: 14}. Give prob of sequence hwww.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31532 (base 7) to base 11.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50124970.\nAnswer: 2, 5, 7, 419, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Is 110220 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/7  (b) -1\/4  (c) -2  (d) 132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 10, 111, 390, 937, 1842, 3195, 5086, 7605?\n\"Answer: 15*p**3 - p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 13, -6 in decreasing order.\nAnswer: 13, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*g**2 + 33*g + 56*g**2 - 33*g - 17*g**2.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*d - 5018715 = 0. Let l = -377009 + -166734. Let i = d - l. What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 1:08 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 24*j**2. Let f(t) = -108*t**2 - 307*t - 2. Give f(i(o)).\nAnswer: -62208*o**4 - 7368*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3*t - 59 = 0, 0*t - 31 = -4*q - 3*t. List the prime factors of (685\/q)\/(2\/4).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of 9*a**5\/5 + a**3\/3 - 11*a - 113. What is the third derivative of h(w) wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55365988?\nAnswer: 2, 29, 477293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1846335 to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-77)\/154*(0 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x. Let t(n) = -7*n**2 - 3*n. Let c(d) = -7*d**2 - 2*d. Let r(l) = -3*c(l) + 2*t(l). What is j(r(o))?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 6*f**4\/11 - 112*f**3\/11 + 166*f**2\/11 + 68*f\/11 = 0.\nAnswer: -1\/3, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*v + 6*v - 8*v)*(2*v - 2 + 2 + (-4 + 0 - 1)*(v - 5*v + 3*v) + 0*v + 3*v - v + (-2 + 4 - 3)*(-2*v + 4 - 4)).\nAnswer: 99*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + 2 + 5*h - 7*h**2 - h**2 - 2*h**3 + h**3 + 5*h**2. Calculate i(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38228 by 9921.\nAnswer: 38228\/9921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/60 and -127\/1936950?\nAnswer: 3873900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 571644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j**3 - 4*j**3 + 0*j**3 + (-2*j + 4*j - 4*j)*(0*j + 2*j**2 + 0*j) + 2 - 2 - 2*j**3 - 5*j**3 + 0*j**3 + 3*j**3)*(-6 - 3*j + 6)*(-9 - 5 - 5).\nAnswer: -399*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 12:50 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(196)*1)\/sqrt(2).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (1 + -17 - -14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -a**6\/70 + 3*a**5\/28 - 3*a**4\/28 - 5*a**3\/14 + 6*a**2\/7 - a + 79. Find y such that u(y) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17120, 17104, 17070, 17012, 16924, 16800, 16634, 16420?\nAnswer: 16152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -3 - -1*3. Find the first derivative of y**3 + i*y**4 - y**4 - y**3 + 1 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in -2\/13, 1, 1\/6, 28?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 668.9246 micrograms to milligrams.\nAnswer: 0.6689246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.45 in 2, -14, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1078 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -7, -14, 4, -72, 3 in decreasing order.\nAnswer: 4, 3, 0, -7, -14, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 PM and 9:51 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**3\/3 + 47*n**2\/3 - 217*n + 735 = 0. What is n?\nAnswer: 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 992 - 1532. What are the prime factors of -3 + 4 + d\/(-5)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -16067*o**3 - 5*o + 29. Let i(m) = 8034*m**3 + 2*m - 12. Calculate -5*i(z) - 2*p(z).\nAnswer: -8036*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.5 - 0.5. Let r = 0 + 2. Which is the third smallest value?  (a) -4  (b) r  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -10023, -10507, -10991, -11475?\n\"Answer: -484*t - 9539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6841151*u**2 - 6193223*u wrt u?\nAnswer: 13682302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23928912173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 11:50 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*r, -h + 2*r + 196 - 38 = 0. Sort -4, h, 1 in ascending order.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/18*(-45)\/(-6). Let m = 1\/6 + 1\/3. What is the closest to m in 0.2, 1, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1466717 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2405)\/11100)\/((-1)\/3). Let d(c) be the third derivative of 0*c - 5\/6*c**4 + 0 - 48*c**2 - r*c**5 + 0*c**3. Find the second derivative of d(j) wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -251221.0253 to the nearest one hundred.\nAnswer: -251200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2177254 or -2177256?\nAnswer: -2177256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 247057.9701 + -247479. Let b = f - -421. Round b to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -23*f**2. Let q(k) = -133*k + 114 + 96*k - 114. Calculate o(q(h)).\nAnswer: -31487*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of u**6\/45 + u**5\/40 - u**4\/12 + 7*u**3\/6 - 3*u. Let s(a) be the second derivative of d(a). Is s(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-21) + 48\/21. Suppose 0 = -3*h - h + s*o + 834, 5*h + 2*o - 1056 = 0. Does 70 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**3 + a**4 - a**3 + (-3*a + 0*a + a)*(44*a**3 + 31*a**3 + 21*a**3) to the form n*a**4 + r*a + z*a**3 + t*a**2 + j and give n.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c + 3. Let o be m(1). Solve o*f = -r - 5, -3*r - r = -2*f - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1150 = -0*k - 33*k + 3*k - 20*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b + 2. Let q be c(-17). Suppose -5*v = -q - 319. Suppose -j + v = -140. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 9*i = 43, -p + p - 16 = -188*i + 184*i for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.734341 years in centuries?\nAnswer: 0.00734341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1715\/377  (b) -4  (c) 0.4  (d) -0.2  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/4 - (-323)\/68?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 148\/77 + -18\/11. What is the nearest to z in 1\/4, 3, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 366  (b) 1\/3  (c) 1  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*i + 14. Let s(a) = 0 - 9*a + i + 2*a. Is s(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 divided by 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-25)\/(-20) - (5823\/(-180) - -33)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3810131 to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11394280 by -2278856.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -19\/3. Let q(b) be the second derivative of 0 + 4\/15*b**6 + p*b**4 - 1\/3*b**3 + 0*b**2 - 3\/5*b**5 + 2*b - 1\/21*b**7. What is s in q(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 787898 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-66)\/200)\/(3\/8)*20\/(-8).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + -17. Let i be (-2)\/v - (-82)\/(-7). Let x be (-2)\/(-3) - 28\/i. Solve 3*g = l - x*l - 13, 0 = 3*g - 2*l + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 + r - 3. Let n be g(-3). Let d = -0.08 - -0.28. Let z = 0 - -5. What is the biggest value in d, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -4*a. Let n(g) be the third derivative of g**5\/60 - 6*g**2. Determine t(n(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -85 + 125. Suppose -2*s - d = -5*p, -3*p - 2*s = -0*p - 40. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 18 = -2*b. Suppose 55 = 5*j - 340. Let t = 112 - j. Calculate the remainder when t is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6*l**2 - 5*l + 14. Let t be m(4). Let x be 2\/(-15) - (-372)\/t. Solve -5*r = -6 - x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, m: 2, v: 4, a: 3, b: 4}. What is prob of sequence vazm?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 5 = 8*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 150*15\/(-18)*-3. Suppose 2*z + 3*z = p. Calculate the remainder when (3\/(-9))\/(-1)*z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110111110 (base 2) in base 5?\nAnswer: 3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36084923*c - 36084922*c - 17*x = 193, -c + 17 = -x for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -19909, -39780, -59615, -79414, -99177, -118904, -138595?\n\"Answer: 18*d**2 - 19925*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 0 + sqrt(19) + sqrt(19))**2 - (sqrt(114)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: 12*sqrt(19) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 0*m + 40. Let b(c) = 20*c**3 - c**2 + 2*c - 1. Let s be b(1). Suppose 2*y + 4 = s. Calculate the highest common factor of m and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 30 = -2*q. Solve f + 4*f + 20 = -5*p, 5*p + q = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 15. Let d(o) be the first derivative of 0*o**2 - o + 1\/4*o**y - 2*o**3 - 3. Determine d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2099676?\nAnswer: 2, 3, 37, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 - 74*t**2 - 105*t + 1072. Determine l(38).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of t**7\/945 + t**6\/36 + t**5\/5 + 10*t**4\/27 + 1352*t**2 - 2*t. Factor c(p).\nAnswer: 2*p*(p + 1)*(p + 4)*(p + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 3 = 6*w - 7*w, -4*z = -3*w - 9. Let y be (75\/(-550))\/(w\/100) - 4. Which is the second smallest value?  (a) -1  (b) y  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6457079 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 369 + -346 - (22 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 191 divide 6685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2185087?\nAnswer: 269, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12 - 3*g - 12)*(-2 - 4 + 4) - 498 - 4*g + 985 - 491 to the form w*g + c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 1. Suppose 2*d - 74 = 3*d. Let f = d - -71. Let p(n) = -6*n**2 - 2. What is f*h(b) + p(b)?\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - -23. Suppose -p + 3*p = u. Is ((-100)\/70)\/(-2*1\/p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -1 + 1 + 4 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-27) - 975\/(-135). Suppose -755*o + 745*o + 100 = 0. Solve -5*t = -l*t - o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 13263*u - 26714. Determine f(2).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -f**4\/6 - 23*f. Let o(u) = 16*u + 17*u - 34*u. Give t(o(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s, 1 m, and 1 r when four letters picked without replacement from {r: 2, m: 1, s: 2, g: 6}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 476700 divided by -5.\nAnswer: -95340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 2:54 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 3 + 27. Suppose -6*p = -4*p + x. Let i(c) = c + 2. Let w be i(p). Let o(s) = -s**2 - s - 2. Calculate o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 824879622 and -1?\nAnswer: 824879623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5 + (sqrt(1300) - (-2*sqrt(1300))**2 - sqrt(13)) + (-5*2*sqrt(91))\/sqrt(7)).\nAnswer: -15585 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 0 = -10*t. Does t = 2\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*b**3 - 31*b**3 - 2*b**3 - 11*b**3.\nAnswer: -57*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from mmmhmmnltmbmhmmmhnm.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**4\/17 + 154204*f**3\/17 - 2972204994*f**2\/17 - 5944872608*f\/17 - 2972513408\/17 = 0 for f.\nAnswer: -1, 38552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 u when four letters picked without replacement from uwqqqwqqwquw.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.276 and 267.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 5. Let q(b) = -58*b + 1162. Let w be q(20). Solve i - 10 = 4*o, 12 = -4*o - w*i - m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 141315*t*y**3 + 9*t*y - 22*y - 11 wrt y?\nAnswer: 847890*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -313 - -189. Let c = -46 - r. Suppose -m = -0*m - c. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkeggwer. What is prob of picking 1 k and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 3*a + 2*k - 31, -5*k = -4*a + 35. Suppose -7*o = -a*o. Let g(y) = -y**3 + y**2 - 23. Calculate g(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1339 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 12 = -2*t + 4*t, -t = 3*k + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59.8 - -60. Which is the nearest to 0?  (a) 2  (b) -2\/5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158391*s**2 + 268*s**3 - 158391*s**2 - 316*s**3.\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of -o**2 + 2\/3*o**3 + 0 - 3*o + 1\/3*o**4 - 1\/20*o**5. Let y(h) = -309*h - 2777. Let a be y(-9). Give n(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -32, -20, 22, 106, 244?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/((-18)\/(-2))*66. Suppose -t = -0*t - 88. Calculate the greatest common divisor of s and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1411 - 1406. Let c = 3 - 3. Solve c = 3*m + 2*k - 0 + 3, -i*k - 5 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/(sqrt(40)\/sqrt(5)) + 0)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2870145 (base 9) in base 10?\nAnswer: 1581323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*d + 3 + 337 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -67.47463121 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -72c (base 13) to base 6\nAnswer: -5353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 - 306 = -18*w + 1 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*f**3 - 387*f**3 + 130*f**3 + 132*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 4*a**2\/5 - 646*a\/5 + 192 = 0?\nAnswer: 3\/2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11177 + -11175. Factor -1\/2 - 1\/2*n**j - n.\nAnswer: -(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 160 = -3*g, 170 = 8*d - 3*d + g. Suppose 1 = 3*v - d. Let o = -2 - -10. What is the lowest common multiple of v and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43.82 - -44. Let h = y + -0.1799877. What is h rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 231 = -5*g, -g - 7711 + 7762 = t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {t: 3, u: 3, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 + 11*y**2 + 22*y - 10. What is the hundreds digit of x(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/19)*f\/(f\/f**3)*f**2*(f\/f**(4\/3))\/f)**(-2\/113) assuming f is positive.\nAnswer: f**(-430\/6441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19009*b**4*r - 1595*b**4 - 16*b**2*r + b**2 + 12*b*r - 2*b + 3*r - 998 wrt b.\nAnswer: 456216*b*r - 38280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6221 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: What is the ninth root of 448034 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/137113433 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 285*o + 494. List the prime factors of w(10).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 62\/9 and 13\/3150?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8760 - 8763.00016. Let x = r - -3. Round x to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/(-6))\/(47340\/14202)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*s + 707 = -320*s - 601 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -713*w - 22214. Calculate y(-31).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -7931, -6, 0 in descending order.\nAnswer: 1, 0, -6, -7931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6219675 and 945.\nAnswer: 18659025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.12 - 0.28. Let q = i - -2. Sort 2\/7, q, 4 in increasing order.\nAnswer: q, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*n**2 - 69 + 69.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103041044 + 2134?\nAnswer: -103033410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-4*sqrt(825) - sqrt(825))\/((sqrt(300) - sqrt(300)*-3)*-5) + 0.\nAnswer: 13*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/16*(3 + 55\/15 + -6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7, 19, 53, 121, 235, 407, 649?\n\"Answer: 2*k**3 - k**2 + k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 0*g + 8 = 0. Let b(r) = 13*r**2 - 4*r. Let h be b(2). What is the greatest common factor of h and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(567) - -1*sqrt(567))\/(sqrt(729) - -3*sqrt(729)))**2.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of f**4\/8 + 29*f**3\/6 + 18*f**2. Let c be k(-9). Solve c*j + 4 = -4, 2*j = 3*d - 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*r + 472 = 4*d, 3*d = -137*r + 140*r + 90 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*m**2 - 12*m**2 - 37*m**2.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 308*j**2. Let q(b) be the first derivative of -b**2\/2 - 1717. Determine k(q(d)).\nAnswer: 308*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(88)\/(sqrt(8)*2) - (sqrt(1584) + 1)**2).\nAnswer: -1587 - 47*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 116 = -11*h, 5*h - 6212*t + 6210*t + 46 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (65\/(-20) + 1)\/((-114)\/(-16)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(-3*2\/(-24)). Suppose 4 = -c*b + h + 9, -2*b - 2*h = -10. What is the lowest common multiple of 4 - (-3)\/(3\/2) and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 424534 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 17236627 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 4:03 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(28) + sqrt(1372)*-3)\/sqrt(4).\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205*u**3 + 189*u**3 + 0*u + u.\nAnswer: -16*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 689\/8925 + 1\/357. Let g be (-26)\/30*3\/(-20). Let v = q - g. What is the common denominator of v and -111\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18713765311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13978*l + 6*l + 3*l**2 - l**3 - 7438*l.\nAnswer: -l**3 + 3*l**2 - 21410*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + (-8 - (-1428)\/(-98)) + 2.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/7 + 304*i**2\/7 - 7912*i\/7 - 295840\/7.\nAnswer: -2*(i - 86)**2*(i + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-5*((-36)\/(-10))\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -17*t**3 - 12*t**2 + 37*t + 19. Let o(x) = 4*x**3 + 3*x**2 - 9*x - 5. Let w(y) = 6*k(y) + 26*o(y). Factor w(j).\nAnswer: 2*(j - 2)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4697525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 33, 29, 23, 15, 5?\n\"Answer: -n**2 - n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 24 + 36 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 3 = 0, -93*q + 94*q = 2*z - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 - 0*(-2)\/4) + 1. What is the nearest to -0.2 in -76, f, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of q**6\/120 - 7*q**5\/60 + 7*q**4\/24 - 5*q**2. Let c be h(6). Let o = 53 - c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a gram in milligrams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/((-5)\/370))\/2. Suppose -32*r - 360 = -u*r. Let s = 138 - r. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u - 2*a + 8, -11*u - a = -14*u - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4 - 20 = 0. Suppose -4*b = -3*p + 25, -2*b + 2*p = -2*p + 20. Let a = b - -10. What is the highest common divisor of f and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*t - 78*t = 37*c - 86, 2*t + c + 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 31\/(-3565)*-23 + (1 - (-2264)\/(-1770)). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/2))**(1\/14)*j*j*j**(5\/2)\/j*j**(-10) assuming j is positive.\nAnswer: j**(-181\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1611999935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 40511393327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 67 * 0.0133.\nAnswer: 0.8911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 3 = -2*y, 4*y + v = -5 + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 23 + 14 = 3*m, 39 = 5*m + 3*c. Calculate the highest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 AM and 8:27 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -68 + 198. Calculate the greatest common factor of g and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10222242 - 44?\nAnswer: -10222341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -18*g + 9. Suppose -877 - 3021 = -g*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5659731066 to the nearest integer?\nAnswer: 75231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 14, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19778 = 17*j - 15123. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 4, -1, -11, 95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1\/8, 2, -1583.8, 1\/3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - n = -2 + 22, 25 = 5*j - 3*n. Suppose j*g + 80 = 3*u + 2*u, 4*u - 82 = -5*g. What is the greatest common factor of 126 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 5*h + 7. Let s be v(6). Suppose 0 = 4*x - 57 + s. Suppose 4*o - 142 + 34 = 0. What is the remainder when o is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 3 + 2)*(-2*a + 4*a - a) - 3979*a - 2724*a + 1145*a - 565*a to the form k*a + x and give k.\nAnswer: -6124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9364.695km in nanometers?\nAnswer: 9364695000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -34 - 31 + 4*m**2 + 65. Let i(a) = -8*a**2. Give i(o(x)).\nAnswer: -128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 PM and 11:40 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 32.92693 micrometers?\nAnswer: 0.00003292693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(684) - sqrt(684)*5 - sqrt(684)) + -2 + sqrt(684))*-4 + (0 + sqrt(684)*-1 - (sqrt(684) + -2 + 0 + sqrt(684) + sqrt(684))))*-3 + -5)**2.\nAnswer: 15120*sqrt(19) + 887689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u - 3*u - 2*u)*(2 - 1 + 0).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 13336381 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v - 5. Suppose 6*f - 905 = f. What is the remainder when f is divided by a(-14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2. Let x(b) = -7*b. Let m(u) = u. Let v(i) = 24*m(i) + 3*x(i). Determine h(v(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 + (2 - -7) - (2 - 2 - 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -14264818783639 and 0.3.\nAnswer: -14264818783638.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -197 divided by -4.\nAnswer: 197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h - 4. Let j(r) = 1. Let p be 4\/(-4)*1*1. Let a be (-1)\/3 + (-11)\/3. Let m(y) = a*j(y) + p*q(y). Let z(d) = -10*d. Give m(z(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 4*z + 0*z)*(-1 - z + 1)*(21256*z - 51*z**2 - 1 - 21253*z + 184*z**2).\nAnswer: 266*z**4 + 6*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 80156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 322206033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 u when four letters picked without replacement from pbbbbpbbupbppu?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/799, -5343, -0.46?\nAnswer: -5343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*i - 9090 - 990. Let m = 1093 - i. What are the prime factors of m?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 607123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.7?  (a) 4\/7  (b) -3  (c) 4\/3  (d) -2  (e) -4\/31  (f) 2618\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -9*c**3 - 27*c**2 - 24*c + 9. Let n(y) = 4*y**3 + 13*y**2 + 12*y - 4. Let b(d) = -7*n(d) - 3*t(d). List the prime factors of b(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 68 = 11*v. Suppose 9*k = 4*k + 7840. What is the remainder when 2\/(-5) + k\/70 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 29*n + 1. Let m be s(1). What is the highest common divisor of 150 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6 times -256\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 46392287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 9*a**2 - 12*a + 12. Let j be b(8). Is -20 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 4*w**2 - 7*w**3 - 2*w - 7*w - 1 + w**2. Let q(u) = 4*u**3 - 2*u**2 + 4*u. Let h = -45793 - -45795. Give h*l(o) + 5*q(o).\nAnswer: 6*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 12 = -0*l + 2*c, 4*c = -5*l + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3603, 7203, 10803, 14403, 18003, 21603?\n\"Answer: 3600*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17f + 25?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((633 - 355 - 407)*(-2 + 2*p + 2) + 2*p + 1 - 1)*(-13*p + 0 + 0 + 2*p).\nAnswer: 2816*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 882731 - 885467 = -48*z for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 74 + -35. Calculate the remainder when y is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 25\/823?\nAnswer: 25\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 135746606 - -4?\nAnswer: 135746612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11724*m**2 - 4*m + 178?\nAnswer: 23448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99 is divided by (500\/(-15))\/4*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**4 - 8268*f**3 - 41416*f**2 - 49728*f = 0. What is f?\nAnswer: -3, -2, 0, 2072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.2, 1, 4\/7, 5\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20841578, 20841577, 20841576, 20841575, 20841574, 20841573?\nAnswer: 20841572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -109\/233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 16 + 5 = -3*t, -4*t = -m - 3. Let u(l) = 4*l + 1. Let r be u(t). Is 9 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110101000 (base 2) to base 12\nAnswer: 2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 14 - 3*b**4)*(0*b + 2*b + b) + 2*b**2 - b**5 - 2*b**2.\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -w**3\/3 - 11*w**2\/2 + 16*w - 17. Suppose -53*a + 59*a - 1596 = 0. Calculate the least common multiple of b(-11) and a.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 0. Let f(x) = -2*x**2 + x - 18. Let v be f(0). Let o = v + 21. Which is the biggest value?  (a) o  (b) 1\/4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25984 + 13?\nAnswer: 25997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -96 - -98. Suppose j + 2 = -2. Let f be (362\/j)\/(p\/(-80)). What is f rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 AM and 7:26 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.0428  (b) 1  (c) -8421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 8:41 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -43, -3\/5, 6860, -2 in ascending order.\nAnswer: -43, -2, -3\/5, -2\/9, 6860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.784996 to two dps.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -3*l + 5. Let t(y) = -2*y + 3. Let r(q) = 3*o(q) - 5*t(q). Let j(a) = 2*a + 87 + 91 + 104 + 86 - 369. Give 2*j(z) - 6*r(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45057, -89936, -134453, -178428, -221681, -264032?\nAnswer: -305301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 33*p - 3. Let g be v(3). Suppose 0*b + 4*b - 96 = 0. What is the highest common divisor of b and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2979415 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 141, -1, -3, 4, 2, 3 in decreasing order.\nAnswer: 141, 4, 3, 2, -2\/17, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.16, -47, -4986, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -248.02 + 246. Let y = o + 0.02. Let c = 8237 + -8233. Put c, y, -4\/5, -1\/4 in decreasing order.\nAnswer: c, -1\/4, -4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68 - 8*i**2 + 63 + 67 - 75.\nAnswer: -8*i**2 + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123809 - 14400340.\nAnswer: -14276531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 18*p - 17*p - 161*p**2)*(-86 - 18 + 32).\nAnswer: 11592*p**2 - 72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 974922 and 928?\nAnswer: 15598752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43104 and 44724?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.744 + -0.944. Let r be ((-6)\/(-32))\/((-2)\/(-4)). Let g = -7.8 + 7.9. Which is the smallest value?  (a) l  (b) g  (c) r  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 15) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -18*v**2 + 2345*v + 8. Give z(130).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**2 - 54*w - 24. What is f(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (692 - 698) + (0 - -15 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-1\/10))**(-1\/7)\/(a**(-6\/17)\/a**(2\/33)) assuming a is positive.\nAnswer: a**(11191\/39270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 98 and 341698.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2 + 3*(2*sqrt(1216)*5 + 2 + 0 + sqrt(1216))*-2)**2.\nAnswer: 14784*sqrt(19) + 5297092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*o = -11*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 878.4253g in tonnes?\nAnswer: 0.0008784253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 442051\/4470 smaller than 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1911 + 43945\/23. Is u not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b*o**2*z**2 - 2*b*o**2*z - 12*b*o**2 + 2*b*o + b - 550*o**2*z**2 wrt z?\nAnswer: -4*b*o**2 - 1100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 24 in 5, 14\/3, -0.3, -2, -1, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61101 is divided by 657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14785 is divided by 370.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 8*c**5\/21 + 22*c**4\/21 - 26*c**3\/7 + 58*c**2\/21 - 10*c\/21 = 0.\nAnswer: -5, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 92.15320911 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 252674119 to the nearest integer?\nAnswer: 15896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 6:27 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 9:58 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 71, 115, 181, 275, 403?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/3  (b) -23  (c) 9\/4  (d) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 12, -587.2, 0.2?\nAnswer: -587.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43697862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010101 - 101001100101100?\nAnswer: -101001001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + 3 + 1 - (2357 + -2258).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -84, -121, -152, -171, -172?\n\"Answer: q**3 - 3*q**2 - 35*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 74 and 2294.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -5*w**3 - 752*w**2 - 1041*w + 518. Determine v(-149).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -11469922.3 to the nearest one hundred thousand.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007971956 rounded to six decimal places?\nAnswer: -0.007972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-4) - (-1407)\/42. Suppose 4*q = z - r, -q - 9 = -z - 2*q. What is z rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/3)\/((-10)\/165). Let x = -5 + h. Suppose 4*f - x = 3*f. Calculate the remainder when f is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 130 = -6*l. Let y be (-9)\/(-1 - (-75)\/78). Calculate the greatest common divisor of l and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b. Let c(r) = 326*r**2 + 140*r**2 - 57*r**2. Determine t(c(s)).\nAnswer: 818*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 3, 6 in descending order.\nAnswer: 6, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 2846 = -4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 3. Let r be (18\/12)\/((-3)\/(-8)). Solve -5*x = c*o + 26 - 3, -x = r*o + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -95, -201, -321, -461, -627?\n\"Answer: -u**3 - u**2 - 96*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 487*m + 2*m**5 + 11*m**3 - 538*m + 35*m**3 wrt m.\nAnswer: 40*m**3 + 276*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 10*v - 4. Suppose 0 = 5*x - 5*z + 50, 0 = 2*x + 2*x + 3*z + 26. What is d(x)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010110000111 (base 2) in base 7?\nAnswer: 22032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*w**5 - 15622*w**4 + 52372*w**3 - 62964*w**2 + 31510*w - 5254 = 0 for w.\nAnswer: -2627\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -27, -120, -299, -564?\n\"Answer: -43*k**2 + 36*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1334 + -448. Let t(h) = -l*h + 1774*h - 883*h. Let u(j) = -13*j**2 + 2*j. Determine t(u(o)).\nAnswer: -65*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-16 - -28) - (11 - 45)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7364, 4, 3, 818?\nAnswer: 7364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/7)*t**(2\/15))**(-21) assuming t is positive.\nAnswer: t**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -22. Let c be 5\/(55\/2) - 155\/(-55). Let m(i) = -i + 43. Let h(t) = c*m(t) + 5*x(t). What is the remainder when h(-16) is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86886360 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 3*z**2\/5 - 3009*z\/5 - 1206 = 0.\nAnswer: -2, 1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 (base 12) in base 2?\nAnswer: -111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 222429731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -216 (base 12) in base 5?\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10971 and 371.\nAnswer: 76797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - -26) + 382\/(-32) - (3 + -9)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -1887*c + 443447. Let a be o(235). Factor -2\/9*x**2 - a - 20\/9*x.\nAnswer: -2*(x + 1)*(x + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 663510 and 75480?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -20869 and -897.\nAnswer: -21766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57443 - 57425. Suppose 5*g - m - 307 = -4*m, -3*m = -g + 47. What is the remainder when g is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 5:59 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 62, 55, 34, -7, -74, -173, -310, -491?\n\"Answer: -s**3 - s**2 + 3*s + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 499140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 93821.274 seconds?\nAnswer: 1.085894375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6521538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184988 is divided by 188.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -69059115 not equal to -69059101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*r - 14, -26*r = -24*r - 6. Which is the closest to -0.004?  (a) 0.4  (b) -9  (c) -1  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 146 - 148. Which is the biggest value?  (a) o  (b) -3  (c) 0.5  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2198310 is divided by 540.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - 4*w**2 + 10*w - 9. Let u = 10 + -18. Is l(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 5*m**3 - 11650*m**2 + 69720*m = 0.\nAnswer: 0, 6, 2324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -217007 (base 10) in base 15?\nAnswer: -44472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**2 - 2*s + 2. Let v(d) = 111*d + 113*d - 222*d + 14. Let y be v(-12). Let h = -7 - y. Calculate f(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*m + 8. Suppose 4*x - 2*y - 4 = 2*y, -4*y = 3*x + 4. Solve x = d - m*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3329.4 + -3329. Sort -355, x, -0.5 in ascending order.\nAnswer: -355, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vgag when four letters picked without replacement from {v: 7, a: 1, q: 2, g: 2}?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**5\/3 + 944*m**4 + 489668*m**3\/3 - 4155704*m**2\/3 - 3256368*m - 5126560\/3 = 0.\nAnswer: -358, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2013*q**4 + 4*q**2 + 14169*q.\nAnswer: 24156*q**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -3*n**2 - n + 3. Let i(u) = -u**2 + 1. Let t = 19 + -20. Let k(o) = t*w(o) + 2*i(o). Calculate k(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 20 = -4*x. Let w = 24 + x. Suppose -d + 17 = o - 5*d, -4*o - 12 = w*d. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 18 - 75. Suppose -4*m = -5*m + 5. Suppose 0 = m*c + 32 - 87. Calculate the remainder when x is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 1107*r + 5536. Let l be m(-5). Let x(u) = -u**3 + u**2 + u. What is x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 2*j + 172, -4*j - i - 347 = -6*i. Let s = -79 - j. Do s and 12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36 - (-77 - -44)) + 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 515779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of 1\/4*r**5 + 27*r**2 + 0*r + 5\/6*r**4 - 1\/24*r**6 + 0*r**3 + 0. Suppose q(x) = 0. Calculate x.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6  (b) -5  (c) -0.057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/8 + 221*k\/4 - 443\/8.\nAnswer: (k - 1)*(k + 443)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25 * -27.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/2616 and 25\/3.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of 0*t**3 + 0*t + 0*t**4 - 1\/6*t**5 + 34*t**2 + 0. Let a(h) = -h. What is a(x(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3749 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.4221 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2739 - 2855 = 4*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 822866 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -136751376 divided by 117484?\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + -1 - (0 + -1). Let o be (2 - 33) + 3 + f. Let z = o - -39. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -1350*p**5 + 32175*p**4 - 253806*p**3 + 648144*p**2 + 114048*p + 3072 = 0.\nAnswer: -2\/15, -1\/30, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-24)*r)\/((r\/r**(21\/5)*r)\/r) assuming r is positive.\nAnswer: r**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 557, 516, 497, 530, 645?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9034 (base 14) in base 8?\nAnswer: 60246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 3, h: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 1:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 w when four letters picked without replacement from {s: 3, f: 1, w: 2, z: 3, t: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 60 + -60. Suppose -n = 5*d + 6, d - 2 = -p*n - n. Solve -n*c + 0*c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1052688941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67717.2 millimeters to micrometers.\nAnswer: 67717200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -5*(4 + sqrt(612) + sqrt(612))*6.\nAnswer: -360*sqrt(17) - 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 3*j + 24. Let u be (-2 + (-10)\/(-8))*(j - -2). Put u, 4, 1, -1 in increasing order.\nAnswer: -1, 1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -18*g + 4438. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -215*w - 88 + 29 + 214*w as a*w + q and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((sqrt(112)\/sqrt(2))\/sqrt(8) - sqrt(7)))**2*4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0784 or -1\/17?\nAnswer: -0.0784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**4 - 1910*k**3 + 186185*k**2 - 721980*k + 714420.\nAnswer: 5*(k - 189)**2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -17.6. Let p = -1.1 - j. Let l = 1.04 + -0.04. Which is the third biggest value?  (a) p  (b) l  (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 51, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 2*s**2 - 5*s - 3. Let h be i(-3). Suppose -d + 80 = 3*y, 2*y - h = 5*y. Suppose -d = -4*x - 15. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2, -7\/20, -2\/11, -9, -0.7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 321433?\nAnswer: 7, 47, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 92779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + k - 2 + k**3 - 2 in the form n*k**2 + a*k**3 + l + i*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 56276663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/5))**2*(b*b\/b**(-2\/5))**(-11)*b**(-3\/4)\/b*b\/b**(2\/9)*(b**1*b)\/(b**(1\/2)*b) assuming b is positive.\nAnswer: b**(-4693\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.3 + 2.9. Let c = 4.556 - 4.756. Is r smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3660 is divided by 264.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 43*p**2 - 1549*p + 2916. What is w(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2e61 + -a921?\nAnswer: -d782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -139988 or -139879?\nAnswer: -139879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -3*x + 2, -5*x + 1 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c + q - 27 = 12*c, -6*c + 21 = 5*q for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 - 93*h - 1813. Determine i(-17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1381998160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -39 + 19*z + 0*z**2 + 1\/2*z**4 + 0*z**3. What is the derivative of b(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/873 and -47\/36.\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of s**4\/12 + s**3\/3 - 3*s**2\/2 - 7*s - 2. Let n(a) be the first derivative of b(a). Calculate n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**4 - 4*v**4 + v**4)*(2 + 0 - 5).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -495*w**4\/2 + 1447895*w**3\/2 + 8644095*w**2\/2 + 6902605*w\/2 - 146550 = 0.\nAnswer: -5, -1, 4\/99, 2931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 3*m - 3*m - 2*m. Let a(i) be the third derivative of -i**6\/360 + i**4\/12 + 2*i**2. Let n(k) be the second derivative of a(k). Calculate n(s(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -t + 5*w - 12, t - 8 = -2*w. Put t, -7, -4 in increasing order.\nAnswer: -7, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -82 (base 14) in base 4?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -752 and -6.\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.811 + 0.011. Let g = 6.1 + x. Which is the closest to -1?  (a) g  (b) -0.4  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -803  (b) 2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1188.3 - -1655. Let k = l + -491. Let i = -24 - k. Which is the nearest to -0.1?  (a) i  (b) 0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21.1 * -0.0201\nAnswer: 0.42411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (6720\/5100)\/(-1) - (-12)\/10?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2*x - 4 - 3)*(-x - x - x).\nAnswer: 6*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 126*c - 412. Let s(g) = 17*g - 59. Calculate -15*s(q) + 2*w(q).\nAnswer: -3*q + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 51051 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-35180)\/(-30))\/(4\/6)?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-160)\/(-48)*15\/50?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -62284, -125025, -187784, -250567, -313380, -376229, -439120, -502059?\n\"Answer: -u**3 - 3*u**2 - 62725*u + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 11. Let a(u) be the third derivative of u**4\/6 - 2*u**3\/3 - 143*u**2 + 2. Let y(w) = w**2 - 5*w + 5. Give f*y(i) - 5*a(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/19*w**2 + 120\/19*w + 1800\/19.\nAnswer: 2*(w + 30)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57119992351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(66)\/sqrt(2) - sqrt(33))\/(sqrt(121)\/(sqrt(44)\/sqrt(4))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - 16\/(-6))*3. Suppose 3*a - q = 2*a. Let m(r) = -r**3 + 7*r**2 + 9*r - 1. Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -3*f**2 - 2*f. Let a(o) be the first derivative of -7*o**3\/3 - 5*o**2\/2 - 24. Let z(k) = -2*a(k) + 5*g(k). Let i(r) = -3*r. What is z(i(t))?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -20*y**2 - 144*y - 1. Let x be k(-7). Suppose 0 = -4*o + o + 141. Let r = o - x. What is the lowest common multiple of r and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 62 = -4*q, 5*u + 5*q - 66 = 3*q. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -95\/4 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 2*v + 13. Suppose -29*m + 20*m + 27 = 0. Let x be s(m). Which is the biggest value?  (a) -4  (b) x  (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -57120 or -595?\nAnswer: -595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -52 + 56. Suppose -t = 35 - 542. Suppose -j*b + b + t = 0. Round b to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*f - 2753 - 687 = 0 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 51902, 102305, 152708, 203111, 253514?\n\"Answer: 50403*v + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 173*a - 2064. Calculate k(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away -393942617?\nAnswer: 393942620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16213627 (base 8) to base 9.\nAnswer: 7032443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2399369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 34632287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 906\nAnswer: 1\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 8. Let t be (l + -6)\/((-3)\/(-2)). Suppose -d = c - 989, 5*d - t*c - 4953 = -5*c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-4))**(-44)*((x*x**(-1\/17)*x)\/x)\/x*x*x\/((x\/(x*x\/((x*x**(-2\/41))\/x)))\/x) assuming x is positive.\nAnswer: x**(94785\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/19, 1364, -0.2, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-524)\/(-8)*1\/(1\/(-50)). Let j = y + 29275. Round j to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -96 * -1.3.\nAnswer: 124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*w, -g + 4*w - 4 - 2 = 0. Suppose 3*x - 109 = -g*i, i = 2*x - 99 + 38. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (18\/(-8))\/((-3)\/(-2)). Which is greater: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21599100 rounded to the nearest 100000?\nAnswer: -21600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = w - 2*a, 5*a - 4640865 + 4640843 = 6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -2166, -1, 0.\nAnswer: -2166, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1025)\/315)\/(-5) - 9\/21. Which is the fourth smallest value?  (a) -0.5  (b) y  (c) 2\/13  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in -1, -1\/6, -0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12674492 and 4724.\nAnswer: 4724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*i + 281 - 238 = -565 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**6\/120 + b**4\/24 - b**2. Let r be a(-1). Let t = -2 - -5. Sort -3, t, r in decreasing order.\nAnswer: t, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 8:46 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 638 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 232*k - 5*k**2 + 6*k**2 - 19 + 26*k**2 - 210*k. Let c be v(9). List the prime factors of (2\/4)\/(7\/c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 112 + 44 = 0. What is the remainder when k is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*w**3 - 232695*w**2 - 1687880*w - 2444820 = 0. What is w?\nAnswer: -21\/4, -2, 11642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwwbwbbbwbwwbwwbwb. What is prob of picking 3 b and 1 w?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/56 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -i + 3*p - 98, -2 = p. Let d = 72 - i. Solve d = -4*q, r + 7 = -3*q - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 AM and 9:03 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + 5*m**2 - 6*m + 21. Suppose 4*a = -u + 59, 3*u = 2*u + 3. Suppose -13*k = -a*k + 63. Calculate the remainder when k is divided by o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1245 take away 91?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**8)**(-17\/3) assuming w is positive.\nAnswer: w**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 + 4 - h**2 + 5 + h**2 to l*h**2 + p*h + f and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*m + b, 3*b - 2*b - 3 = -m. Let q be 0 + (-2 - 1)\/3. Let t = q + 5. What is the lowest common multiple of m and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 449037, 898073, 1347111, 1796151, 2245193, 2694237?\n\"Answer: k**2 + 449033*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*3*(5*(sqrt(147) + sqrt(147) + 0) + 2*sqrt(147) + 5)*-6.\nAnswer: -4536*sqrt(3) - 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.15 - 0.046. Let s = d + 0.195998905. Round s to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 385, 389, 395, 403?\n\"Answer: d**2 + d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3*i + 15 + 22 = 0, -2*i - 6 = 0. Suppose -6*l + m*l - 2 = 0. Suppose -1\/3 - 4\/3*u - 4\/3*u**3 - 1\/3*u**4 - 2*u**l = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 - 0.925.\nAnswer: -28.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9804 - -9805. What is the biggest value in -1, 33.34, c, -2?\nAnswer: 33.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**3\/6 + 2*d**2 + d. Let l be m(6). Let i(x) = 2364 - 4*x - x**2 - 4731 + 2364. Give i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v**2 - 42*v + 47. Determine x(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**2 + 25*a - 8. Let l be i(-9). Suppose -105 = -s + l. What is the remainder when s is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, 0.1, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (41 - 36)*(-41)\/((-2665)\/(-10)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4116 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: In base 2, what is -110100 + -1000010000010101000?\nAnswer: -1000010000011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -134.42 plus 1?\nAnswer: -133.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 469540 and 0.\nAnswer: 469540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 10*g**2 - 13*g**2 + 36*g**2 + 12. Let r(i) = -49*i**2 - 153753*i - 18 + 153753*i. Let l(k) = 8*c(k) + 5*r(k). What is the derivative of l(m) wrt m?\nAnswer: 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5, 11, 17, -5, -73, -205, -419, -733?\n\"Answer: -3*t**3 + 13*t**2 - 2*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*w = 4*i + 520, 0 = 3*i - 3*w + 363. Let b = i + 560. Suppose -9*c + b = -4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/4013 - 838701\/32104. Let f be (-2)\/8 + (-12365)\/1800*3. Let a = q - f. What is the common denominator of a and -5\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -2\/13, -4\/3817 in decreasing order.\nAnswer: 0.3, -4\/3817, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 51, -5, 501 in decreasing order.\nAnswer: 501, 51, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7345 + 3673 + 2856*m**2 + 3672 to p*m + w + q*m**2 and give q.\nAnswer: 2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7824575, -7824574, -7824573, -7824572?\nAnswer: -7824571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.16546 and 0.1523?\nAnswer: 0.025199558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/((-2)\/(-3)) - -6. Suppose 7*n = m*n + 16. Let j be ((-3)\/(-2))\/(6\/12). Put j, -2, n in decreasing order.\nAnswer: n, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 - 60*n + 3. Let m be h(60). Solve 8*p + 13 = -m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-243.07096.\nAnswer: -24.307096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 198*l**2 - 11*l - 12. Let y be q(-1). Let z(t) = 5*t**2 - 5*t - 6. Let h be z(-4). Let i = y - h. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 799279517 to the power of 1\/2, to the nearest integer?\nAnswer: 28272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 144*r**3*w - 223*r**3 + 130*r**2 + 174073*w + 3 with respect to w.\nAnswer: 144*r**3 + 174073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -108, 965, -1, 1, 5, 0.\nAnswer: -108, -1, 0, 1, 4, 5, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4491, -19421, -44275, -79029, -123659, -178141, -242451, -316565?\n\"Answer: 4*o**3 - 4986*o**2 + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3943 + 3853.06. Let i = 1.94 + q. Let o = i - -87.99926. What is o rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1199\/2135 - -3\/305. Is a != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -44 + 110. Let t(r) = r + 18. What is the remainder when (3 + b)*(3 - 2) is divided by t(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 12 = 0, 1801*x - 1806*x + t + 49 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 10:59 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h**3. Let u(i) = 2*i**3. Let f = -3 + 38. Let a = 40 - f. Determine a*u(v) + 4*j(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145 = 26*d - 102*d + 47*d. Let q(i) = i**2 + 4*i + 2. Let u be q(-4). Solve 0 = 5*s + d*l, u*s = 4*l - 5 - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (126\/28)\/(2\/12). Suppose 2*l + 11 = g. Let t(h) = -h**3 + 9*h**2 - 1. What are the prime factors of t(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 4, 1, -2, -5, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2677 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2947*w + 2947*w + 40*w**3.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.017 or 461?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -3 + 1. Let s(o) = -230000*o. Let c be s(j). Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 1000312203030?\nAnswer: 1000312203100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/132 and 11\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, -44, -191, -480, -959, -1676, -2679?\nAnswer: -4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 - (24\/(-30) + (-38)\/(-10)). Let w(k) = -27*k + 19. Let s be w(j). What is s rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 5:20 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117) + 5 - (sqrt(13)*1 + 3).\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -7*q**3\/3 + 5. Let n(v) = -260*v**2 - 936. Let w(u) = 9*u**2 + 32. Let b(y) = 4*n(y) + 117*w(y). Determine b(t(m)).\nAnswer: 637*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -148*d**2*l**3 - 2*d**2*l*r + 96*d**2 - 160*d*l**3*r**2 - 2*d*l**2*r**2 - 2*d*l**2 + r**2 wrt l.\nAnswer: -888*d**2 - 960*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0 = -33. Suppose 4*h - x = h. What is the remainder when ((-10)\/(-4))\/(3\/48) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5530104363375*o**3 + 27637037250*o**2 - 1624020*o + 24 = 0.\nAnswer: 2\/67465, 2\/405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -57 + 1. Solve 5*p - w = -7, 0*w - 3*w = -p - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*q**2 - 2*q + 0*q**2 + 2*q.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -478, -547, -620, -697?\n\"Answer: -2*q**2 - 63*q - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17695 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5971409?\nAnswer: 5971409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, c: 6, p: 1, o: 1}. What is prob of sequence wp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*g - 8*g**2 + 4*g**3 + 144 - 6*g**3 - 2*g**3 + 51*g.\nAnswer: -4*(g - 4)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 111053, 222127, 333201, 444275?\n\"Answer: 111074*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 107 = -2*t, -4*s = -s - 4*t - 97. Let p be s\/6 + (-2)\/4. Solve p*h - 10 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 53016 - 4?\nAnswer: 53012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/(-14) - (-61)\/14. Let m(c) be the second derivative of 0*c**3 + g*c**2 + 0 - 1\/3*c**4 - 4*c. Differentiate m(a) with respect to a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of -11*n**3\/6 + n**2\/2 + 2*n. What is the units digit of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 41120*a**2 + 18*a + 17. Let f(i) = 10281*i**2 + 4*i + 4. Give -9*f(z) + 2*p(z).\nAnswer: -10289*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(121) - (sqrt(121) + sqrt(121)*1))*-2 - (sqrt(121)*-2*-1 + sqrt(121)))\/(sqrt(176) + (sqrt(176) - (sqrt(176) + sqrt(176)*3*6 + sqrt(176)))).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1368)\/63 + 22)\/((-74)\/(-12173)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/14 in 0.02, 1\/36, -28, -0.5?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssssssszsssssssss. Give prob of sequence sz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.35 - 0.65. Sort 3\/5, 4, g, -1 in descending order.\nAnswer: 4, 3\/5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3929 = 1427*m + 17476 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5923 (base 13) to base 5.\nAnswer: 400120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25168*p**5 - 2*p**4 + p**3 + 136*p**2 + 2*p - 5876 wrt p.\nAnswer: 1510080*p**2 - 48*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -362 = -n - 3*v + 3474, 2*n + 4*v - 7670 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 5475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 727328\/(22 - -10) + (2 - 0)?\nAnswer: 3, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1b10 (base 16) to base 9\nAnswer: -10447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 7*l**2 + 3*l - 11. Let f be x(7). Calculate the greatest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 75.64261 meters?\nAnswer: 75642610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2854, -5751, -8690, -11671?\nAnswer: -14694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 140689 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2ec09a (base 16) in base 4?\nAnswer: 23230002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -p**5\/60 - 3*p**2. Let b(g) = g + 1. Let l = -16 - -17. Let r(i) = -5*i - 6. Let z(n) = l*r(n) + 6*b(n). Give k(z(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 - 48*f**2 - 45*f + 57. What is n(-47)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2140 - 2140 + 9*k**2)*(1 - 2 + 2)*(4 + 0 - 3 - 2 + 1 + 0 + 0 + 2 + 0 - 2 + 0 + 4 + (1 + 0 - 2)*(1 - 3 + 1)).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 121611 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -2*b**2 - 10*b + 5. Is 5 a factor of w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19\/(-99)*1209\/(-26) - 10) + (-61)\/(-366)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + x - 600 = 2*x, -3*u = 3*x - 882. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1586876326 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 - 223*i - 1879. Let a be l(-102). Solve 10*h + 69 - a = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 10 = -r, 4*y - 166911 + 166987 = 4*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -5*n. Let a(x) = -45*x + 2. Let q(w) = w**2 - 44*w + 3. Let u(o) = 3*a(o) - 2*q(o). What is u(l(f))?\nAnswer: -50*f**2 + 235*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 - -11. Let s be f\/(-14) + 16\/14. Solve n = -4*w + 3, s = -3*w - 4*n - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 1501 = -5*i - 2*a, -3*a = -6. What is the remainder when i is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/4 + 157\/1256. What is the third biggest value in -106, c, -0.2?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 AM and 11:08 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -19*r**2 - 18272*r - 103248 = 0?\nAnswer: -956, -108\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33?  (a) 1\/2  (b) 0.1  (c) -0.05  (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 187195 (base 16) to base 10\nAnswer: 1601941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 9*q**2 - 198*q + 7. Give m(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 10 = -4*b - 42, 2*f - 8 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2229 a factor of 111614946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 785*m**5 + 652*m**5 - 794*m**5 + 0*m**5 - 3*m**5 + 2*m**5 + (m**4 + m**4 + m**4)*(2 + 2*m - 2) - m**3 + m**3 + 3*m**5.\nAnswer: 651*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-793575)\/10)\/9)\/((-1)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -0.465.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (7 - 4) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 302\/1225 or -1?\nAnswer: 302\/1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaag when four letters picked without replacement from baghgmmbbabgaabbbamb?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*k - y = 314, 0 = -3*k - 449*y + 453*y + 13 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14 - -13) + (1 - -2). Let f(v) = 5*v**2 + g*v**2 + 0 + 10*v + v**3 - 7*v - 3. Is f(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 13) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1010339 + -0.7353\nAnswer: -1010339.7353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32*s**3\/5 - 94229104*s**2\/5 + 69368156567522*s\/5.\nAnswer: 2*s*(4*s - 5889319)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s**2 - 56*s + 17. Give w(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvgvvgvvvvggggvvvvv. What is prob of sequence gg?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of i**7\/42 + i**6\/8 - i**5\/6 - 5*i**4\/2 - 20*i**3\/3 - 26*i**2 - 57*i. Let r(h) be the first derivative of d(h). Factor r(a).\nAnswer: 5*(a - 2)*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ezzwwehzenzehnezhe. Give prob of picking 1 z and 2 n.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 747758887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 41 - (10 + 12 + -15 + -1 + 1)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 301736651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 111a - 40a?\nAnswer: b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10 and 18710399.\nAnswer: 187103990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**4 - 199221*b**3 - 3983520*b**2 - 19916100*b = 0.\nAnswer: -66387, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.015, -4 in increasing order.\nAnswer: -4, -0.2, 0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10808004 = -4*i - 2*u, -3*i - 3*u = -0*i - 8106006. What is i rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -201?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5*k = 3645, 2*k = -k - 9. Is 91 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 137424 and 528?\nAnswer: 1511664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27507494 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1794263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14720 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 421578756 to the power of 1\/2, to the nearest integer?\nAnswer: 20532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(15)*1 - (sqrt(2160) + (sqrt(2160) - 2*sqrt(2160))))\/((-6*(sqrt(15) + (sqrt(15) - sqrt(30)\/sqrt(2))))\/((sqrt(27) - sqrt(3))*-1)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -519*y - 4399. Let w(n) = 109*n + 880. Give -19*w(h) - 4*x(h).\nAnswer: 5*h + 876","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -3  (c) -0.038  (d) -5  (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/4*(-2)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 139127, -0.3, 3\/4 in ascending order.\nAnswer: -0.3, 3\/4, 139127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8212160 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w + 14*w = 12. Determine r so that -103*r - w*r**2 + 24*r + 40 + 43*r = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 3*o + 58, -48 = 2*o - 5*p + 4*p. Let r = o + 48. Let m = r - -39. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**5 + 30*g**4 + 320*g**3 + 1350*g**2 + 1215*g - 2916.\nAnswer: (g - 1)*(g + 4)*(g + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/1 + (-2)\/(-1). Suppose c - 37 = -2*s + 6*c, 4*c - 109 = -5*s. Suppose -5*w + s = -24. Solve b*t = w, -2*n + 3*n + 3 = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 199, -145, -1029, -2723, -5497, -9621, -15365?\n\"Answer: -45*j**3 - 29*j + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - -3. Suppose -5*f + 7 + 38 = 2*o, 0 = -5*f + b*o + 45. What is the remainder when 17 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 1781?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1352045 by -2393.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 14, v: 4}. What is prob of sequence nnn?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39*b**3*u**2*x - b**3*u - 1610*b*u**2 - 16*u**2*x**2 + u**2 with respect to x.\nAnswer: 39*b**3*u**2 - 32*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -17*i**3\/3 - 3*i**2\/2 + 23*i - 20. Let r(o) be the first derivative of w(o). What is the units digit of r(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3208693 is divided by 4967.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 6 + 0 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 41*r + 437. Let w be i(-7). Solve -142*c = -w*c - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -13. Suppose 4*u = q - 25, -4*q + v = -2*u - 8. Let z(b) = b**3 + 7*b**2 + 6*b - 4. Give z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x + 12. What is the remainder when 23 is divided by z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-14) + (-23154)\/(-42). Suppose n - 47 = 6*t. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2*i - 34 = 16, 44 = 4*u + 4*i. Let g = u + -11. What is the remainder when 12 - (-1 + 0)*-1 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2914*b**5 - 4*b**4*u + b**3*u + 14*b**2 + 11*b*u - 4*u + 4 wrt b?\nAnswer: 174840*b**2 - 96*b*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 a when four letters picked without replacement from {z: 17, a: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 5802?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 501287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 231231 (base 7) to base 11\nAnswer: 29018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 7*s - 9. Calculate y(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(5\/2)\/g*g\/g**(-5))**(6\/25)*(g**(-3\/4)*g**(-8)\/g)**(-40) assuming g is positive.\nAnswer: g**(1959\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 12:19 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 4*d + 138. Determine w(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21132113011303 + 11?\nAnswer: -21132113011232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 5. Suppose -i + 10 = j*b, b + 0*i + 3*i + 10 = 0. Let y(l) = 7 - 4 + l - b. Determine y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -39, -133, -281, -477, -715, -989?\n\"Answer: v**3 - 33*v**2 - 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 3*x + 295945 = 20429, 5*c + 688799 = -3*x. Let p = -843233\/6 - c. Let f = p - -2802. What is the common denominator of f and -121\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115755018.\nAnswer: 2, 3, 37, 227, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 7*j + 5. Let o(c) = c + 1. Determine -n(x) + 3*o(x).\nAnswer: -x**2 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 841.172 rounded to the nearest 10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4483 - bd6?\nAnswer: 368b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/12 - 48\/(-9). Suppose -j*m - 4 = -3*m. Let t be 3 - (-2 - (-15)\/m). Which is greater: t or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/3 + 4420*i\/3 + 2442050\/3.\nAnswer: 2*(i + 1105)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -139, -3, 5\/628?\nAnswer: 5\/628","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 k when four letters picked without replacement from {k: 7, v: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2345 - 18*z**4 + 2345)*(7 - 7 - 3*z)*(1 + 1 - 5).\nAnswer: -162*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 6:38 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -5. Let k be 1 + -2 - (1 - z). Suppose -2*w = 5*b - 74, -3*w + 10 = b - k*w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2764 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 389414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.9 take away 0.25?\nAnswer: -23.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130)\/sqrt(5))\/sqrt(2) + sqrt(13))**2*4 + (sqrt(1573) - (sqrt(1573) + -1 + sqrt(1573) + -3 + sqrt(1573) - sqrt(1573)))**2.\nAnswer: -88*sqrt(13) + 1797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(12)\/(sqrt(4) - (sqrt(4) - sqrt(484)) - sqrt(4)) + (-2*sqrt(900))\/sqrt(12))**2.\nAnswer: 28227\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56451, 57317, 58183, 59049, 59915, 60781?\nAnswer: 61647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -703141, -702274, -701405, -700534, -699661, -698786, -697909?\n\"Answer: a**2 + 864*a - 704006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 0*h + 3*n = -16 - 56, 0 = -n - 18 - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 0.244?\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**2 + 2395*u + 2390 = 0. Calculate u.\nAnswer: -478, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/((-153)\/(-1530))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001 (base 3) in base 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8046 and 63?\nAnswer: 56322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -3. Solve 2*n + 19 = 6*n - 3*y, 0 = -4*n + j*y + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1742050173?\nAnswer: 3, 73, 1049, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6500955*m + 6417249 wrt m.\nAnswer: 6500955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 12949994.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -15*k**4 + 87130*k**3 + 29055*k**2 - 58090*k = 0.\nAnswer: -1, 0, 2\/3, 5809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10.85 - 11. Let y = a + -0.85. Which is bigger: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 1319?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4221422 (base 6) to base 8\nAnswer: 620526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -9*j**3 + 34*j + 37. Give i(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 539?  (a) -3\/4  (b) 1\/38  (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3 - 8 - 27*z - 2 - 23*z + 39*z - 2*z**2. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 6 - 1 - (-7 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 6*n = -21. Let c(h) be the second derivative of -h**3\/2 - h**2\/2 - h. What are the prime factors of c(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 11. What is the second biggest value in -0.1, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 AM and 8:49 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3*r - 15 = 0, -12 + 3 = v + 3*r. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + -7. Let l = 1.9 - y. Which is the second smallest value?  (a) 1\/4  (b) l  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186, 234, 284, 336, 390, 446, 504?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (3 - (4 + 11)) + 33 + -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1119*v - 1032*v = -107 + 455 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -43.\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) 1\/101686  (b) -3  (c) -0.5  (d) 0.5  (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -96, -409, -926, -1647, -2572, -3701, -5034?\nAnswer: -6571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/3  (b) -0.4  (c) 3\/8  (d) -3.97  (e) 5\/2  (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204)\/(-2*sqrt(4)) + sqrt(51)*2*4 + sqrt(51))\/(-1*sqrt(432)*2))**2.\nAnswer: 4913\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 589*m - 21 = 587*m, -42 = 3*w - 5*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1070566836 + 0?\nAnswer: 1070566836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**2 - 2*l**2 + 2*l**2 + 1 - 1 + l**2 + (-5*l + l + 6*l)*(4*l - 3*l - 2*l) + 8*l**2 - l**2 - l**2 to o*l + r*l**2 + d and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**3 + o**2 + o. Suppose -71*m = -73*m - 4. Suppose -6*r + 20 = -r. Let z be r\/(m + 6) + -2. Determine f(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46b (base 16) to base 10.\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2625)\/70*4\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkrrkukkrrkrru. Give prob of sequence krkk.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/15*(-2 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 261.5 - 290.5. What is the closest to 2\/7 in -1\/3, d, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -173  (b) 2  (c) 878  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*d = 4418 + 98494. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2244 divided by -2?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**3 + 2*r**3 - 9*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 28*j**2. Let t(v) = 8*v**2. Determine t(w(h)).\nAnswer: 6272*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 165 = n + 4*n, -60 = -2*f - 5*n. Let l be ((-3)\/(-3) - -2)\/1. Suppose -l*p + f - 8 = 0. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17.69 * 1054.\nAnswer: -18645.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 8. Let g be n\/(-18) - 157\/423. Let k = g + -31\/423. Is k >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4854 is divided by 106.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 1873.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h. Let r(v) = 4. Let a(o) = -o**3 + 8*o**2 - 8*o + 5. Let b be a(7). Let y(q) = b*w(q) + r(q). Calculate y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 5:40 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i**3 - 2*i + 2. Let g be -8*((-17)\/(-4) + -4). Let a(u) = 7*u**3 + u**2 + 5*u - 5. Determine g*a(x) - 5*f(x).\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.18011 + -353469.22907\nAnswer: -353469.04896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g\/g**(-3))\/g*g)\/g*g**(-3\/5))\/(g**4\/(g\/(g*(g**(-1\/9)*g*g)\/g*g))) assuming g is positive.\nAnswer: g**(-112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1573 by -151.\nAnswer: 1573\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 5. Let l(g) = -g**3 - 5*g**2 + 2*g + 5. Let k be l(f). Let h = 22681\/4 + -5670. Which is the nearest to h?  (a) -0.4  (b) k  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 85511651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1559424\/512 + (-6)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1720 and 3615224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 1 = 2*b, 4*b = -5*x + 3*x + 2. Suppose 2*i = 3*g + 21, 4*i = g + 2*g + 27. What is the remainder when 1\/(3*b\/21) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -13758*y**2 + 27506*y**2 - 7*y - 13765*y**2 = 0. Calculate y.\nAnswer: -7\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4*w = -49673, -9*w + 5*w = -4*r + 198764. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 12075.\nAnswer: -1\/4025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*g = 103*g - 900. What is the remainder when 290 is divided by g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k + 13*k + 10*k in the form d + i*k and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 309*i**6 + 245*i**2 + 535*i**6 - 105*i**2 + 164*i**2 wrt i?\nAnswer: 101280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = p, 0 = -2*i - 2*p + 192. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (34\/255 - 12513\/90) + 14\/(-140). Which is the closest to 2\/3?  (a) -1\/4  (b) -0.5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7488) + (2*sqrt(7488) + -1)**2 + -5 + 1.\nAnswer: -72*sqrt(13) + 29949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - g - 5*h + 11409, -5*g - h + 14235 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-64)\/(-24)*9\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**3*b)\/(b\/b**4)*b**(1\/9)\/(b\/b**(-4)))\/((b**(-2\/7))**(2\/29)\/(b**(2\/9)\/(b*b*((b**(-1\/2)*b)\/b*b)\/b*b))) assuming b is positive.\nAnswer: b**(-6269\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 51*f**2 - 49*f + 886. What are the prime factors of u(20)?\nAnswer: 2, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2*i - 2 - 2*i**4 - 6 - 2*i**3 + 9 as n*i**2 + p*i**4 + m*i**3 + t + k*i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 14  (b) 0  (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 3, -5, 0.11, 0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 26*s**2 + 5*s - 5. Let k be t(5). Suppose 0*h - 2*h + 2*c = -698, 0 = 2*h + 5*c - k. Suppose -3*w = 2*w - h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.9 - -5.85. Let u = t - -0.05. What is the nearest to u in 4, -0.4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 = -3*u + w, -4*u - 2*w + 34 = -70. Calculate the lowest common multiple of u and 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 10) + 4 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -t - 4*q, -t = 4*q + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -4*z**2 - 81*z + 5077. What is s(27)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b - 5*b + 2*b + (-1 - 3 + 5)*(-3*b + 2*b + 3*b) + 312 - 13*b - 312 - b - 2*b + 2*b + (-1 + 3 + 1)*(-7*b + 2*b + 3*b).\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w - 15. Let v be k(-17). Suppose -8*a = -v*a - 30. What is the third derivative of -5*z**2 + 10*z**2 + 6*z**a - 45*z**5 + 2*z**2 wrt z?\nAnswer: -2340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2345929 weeks in seconds?\nAnswer: 141881.78592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 40*u**3\/3 - 2*u - 3. Does 7 divide t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 37514617*w**2 - 112460363 wrt w?\nAnswer: 75029234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - g + 15 = 0, 2*g - 29 - 10 = -5*n. Suppose 3*x = -2*h + 29, x + 3*h = 6 + 13. Calculate the lowest common multiple of n and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*t + 13 = r, 5*r = -2*t - 153. Let x = r - -43. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -3.1. Let x = 0.3 - 0.1. Let a = -1 + -4. What is the closest to c in a, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 1 - (196 + -162)) + 34?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 7 = 2. Let r be 10\/d*(-28)\/(-70). Let j = r - -6. Solve i = -i + j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 5*j = -0*x + 23, 0 = 4*x + 2*j - 20. Suppose -8*q = -x*q. Solve -u - 1 - 3 = q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 34714000 to the nearest 100000.\nAnswer: 34700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**6*v**(-9)*v**6\/v**(-9))**(31\/3))**(-5\/4) assuming v is positive.\nAnswer: v**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2. Suppose -3*s = -3*m - 27, -2*s + 4*m = -4*s - 12. Suppose 10 - s = 3*v. Let q(r) = 2 + v*r**2 - 2. What is y(q(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 427\/3942 + -5\/146. Let t(l) be the first derivative of -2\/9*l + 2\/9*l**4 + 5 + a*l**3 - 4\/9*l**2. Determine w so that t(w) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-6)*-1 - 1\/(-3). Suppose c = j - 6981762 - 6718238. What is j rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - 136?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*a + 13*a**3 - 58*a - a**3 + 27*a**3.\nAnswer: 39*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 18*k**3 - 9*k**2 + 4*k + 32. Is b(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 3 + 25. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3453)\/(-7) + (-2)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -2*x - 9291, 5*x - 5*f + 22107 = -1098. Let u = x + 64909\/14. What is the common denominator of (-2)\/(-6)*19\/(-4) and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {t: 2, k: 2, m: 2, b: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.8 - 1.2. Let q = -4 - b. Let r = q - 3. What is the biggest value in -0.3, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(539) - (sqrt(539)*-2 - sqrt(539))) + sqrt(539))\/sqrt(11))\/(sqrt(315)\/sqrt(5)))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from {h: 5, i: 4, x: 5}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 309*z - 8307. Determine q(26).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, -2, 1 in decreasing order.\nAnswer: 1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 56, 447, 1510, 3581, 6996, 12091?\n\"Answer: 56*k**3 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of -a**4\/3 + a. Let k(s) be the third derivative of 0*s + 0*s**3 + 0*s**4 + 1\/60*s**5 + s**2 + 0. Calculate k(h(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5257*c + 1025124. Determine m(-195).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**1*b**2\/b)**(-8\/11)\/((b\/((b*b**(-1\/2))\/b))**(1\/57)*(b\/b**1)**(-40)) assuming b is positive.\nAnswer: b**(-619\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -15655644 and -1.6.\nAnswer: -15655645.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 - (-27 - 22 - -26)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-310)\/40 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12297, 12316, 12335, 12354?\n\"Answer: 19*w + 12278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 11 = 44*o - 46*o, -3*r + 9 = o. Let n be ((-16)\/(-10))\/((-2)\/(-10)). Let s = 11 - n. What is the highest common factor of s and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 108240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 11*y = -108. Solve 9*i - 9 = y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 840 = -10*b - 4*b. Let f be 56*(b\/14)\/(-3). What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - m - 6. Suppose -8*h - 12 = -m*h + w, 0 = 4*w - 12. What is the nearest to 2\/5 in 4, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 42, 82, 136?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5b (base 13) to base 2\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2247774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -201 - -203. What is the second derivative of 7*k**3 + 24 + 5 + 3*k**w - 3 - k wrt k?\nAnswer: 42*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 6*o + 19 = 10*o, 2*g + 5*o - 29 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10404 or -8533?\nAnswer: -10404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -63473.9120202 and -0.05.\nAnswer: -63473.9620202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 66 + -27. Let p = 80 - m. Differentiate 81*r**2 - p*r**2 - 24*r**2 + 13 wrt r.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5724470 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/1)\/(2638\/(-25061)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 119646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -11*y + 244. Let j be v(22). What is the third derivative of 2*m**6 + 36*m**2 - 13*m**5 + 31*m**j - 69*m**2 + 105*m**5 wrt m?\nAnswer: 240*m**3 + 5520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.4736 from 1.04.\nAnswer: -0.4336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-23)\/(1610\/20))\/((-1)\/7). Solve -j*x + 0*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -6188 and 798 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 0*a - a + (2 - 3 - 1)*(a + 0*a + 0*a) - a + a - a)*(2 - 2 - 2)*(13 + 12 - 5).\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*v - v - 4*d + 20, -4*v - 5*d = -36. Let z be 1 + (29 + 0 - 3). Suppose -30*j = -z*j. Solve -4*a = u - 8, -4*a = v*u - j*a + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of w**5\/4 + 15*w**4\/2 + 145*w**3\/2 + 175*w**2 - 844*w. Determine q, given that p(q) = 0.\nAnswer: -10, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.692 - 5.198. What is h rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/3 + 170*w\/3 - 164.\nAnswer: -2*(w - 82)*(w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81, 72, 63, 54, 45, 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -18*f. Let b = -249 - -259. Let c(n) = n - 2*n - b + 10. Give v(c(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -471726*w**3 - 197905*w - 1?\nAnswer: -2830356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 11:29 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (-54 - (5 - 7)). Solve -t + 50 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6 - -3)\/(-6)*668. Let k(v) = 29*v**3 + 2*v**2 - 2*v - 1. Let y be k(-2). Let o = c + y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*m - 75*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.604 to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 8*d - 1. Let y(v) = -58*v + 7. Let z(j) = 7*n(j) + y(j). Let m(x) = -14*x**2 - 28*x. Let w(g) = -g. Let u(c) = m(c) - 28*w(c). Give z(u(p)).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 9:04 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -23  (b) -2\/7  (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 129*n = 125*n - 36, 3*n + 15 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i - 2 + 0*i + 4*i**2 + i. What are the prime factors of y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -597469 divided by -197\nAnswer: 597469\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 13*r**2 + 12*r - 5. Calculate the remainder when g(-14) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99 = 5*k - 31. Suppose -2*f = -0*f + 4*o - 38, 8 = -4*o. Let p = f + k. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n - 2 + 2)*(-13869*n**2 - 504 + 13867*n**2 + 45*n**3 - 56*n**3) to the form m*n + p*n**2 + s*n**3 + k + i*n**4 and give m.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 2 + 2)*(0*c + c - 2*c) + c + 2*c - 5*c - 2*c - 2 + 2 - 3 - 2*c + 3 + 86 + 279*c - 87 + 72*c)*(1 + 1 + 5).\nAnswer: 2422*c - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34065 is divided by 4858?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 3. Suppose -v + g*w + 15 = -2, 20 = -5*w. What is the lowest common multiple of 2 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*r - r + 288 = 0. Let m(c) = -c**2 + 1. Let q(d) = 80*d**2 + 164*d - 12. Let s(o) = r*m(o) + q(o). Find the second derivative of s(x) wrt x.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -0.046\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -95356*g**4 - 125662*g wrt g.\nAnswer: -1144272*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 4178029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.422 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30 - -1) + -1640 + 1607?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -311.043 + 0.043. Let k = -312 - m. What is the closest to k in 2, 19, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 817 and 94183.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -263542, 3 in decreasing order.\nAnswer: 7, 3, -263542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-109)\/(-378) + ((-363)\/154)\/11?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/9, -0.7, 11\/6, -298, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -15. Suppose -4*x - 2*c - 14 = -8*x, 0 = x - 4*c - v. Suppose 4*l - 2*l = -6, 3*f + x*l - 87 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -46*d**4 + 37*d**4 + 35*d**4 + 2*d - 2*d - d**4 - d**4 + d - d + (-7 + 3 + 1)*(0*d**4 - 5*d**4 + 2*d**4).\nAnswer: 33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -41, -71, -101, -131, -161, -191?\n\"Answer: -30*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s\/s**0*s))\/s**8 assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5238 - 10118. What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 249*z - 6784 + 1697 = 1138 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*-2)**2 + sqrt(66)\/sqrt(24) + 0)*3 + 2.\nAnswer: 3*sqrt(11)\/2 + 2675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -57574.21 and 148.875?\nAnswer: 57723.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - -47. What is the remainder when l is divided by ((1 + -4)*-1)\/((-39)\/(-221))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4152901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10098 is divided by 389.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/(-10) - ((-9)\/3)\/1 and -2 - 3\/(-60)*47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492717 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 + 6*d**2 + 1. Let u be b(6). What is the derivative of -j**2 + 2 - 5 + 2 - u wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -94517.\nAnswer: -4\/94517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -62*g + 2. Let j(c) = 185*c - 5. Give -8*d(p) - 3*j(p).\nAnswer: -59*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -c**3\/2 + 111*c**2\/4 - 54*c - 2850. Let l(d) = 0. What is d?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182365 is divided by 36470?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**2 - 10*d**2 - 9 + 23*d**2 + d + 2*d**3 + 3*d**4 - 11*d**2 + 7 to the form i*d**3 + f + u*d**2 + v*d + x*d**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*i + 4 = 0. Suppose 5*c + 20 = -y + 4*y, -c = y + i. Sort -0.2, -2, c in decreasing order.\nAnswer: -0.2, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26471502?\nAnswer: 2, 3, 37, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 23*h**2 - 91*h + 449. Let r be a(31). What is r rounded to the nearest one hundred?\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlolrczccczuoucuzluu. What is prob of sequence zr?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 767 - 397. Let t = b + -263. Let c = t + -106.9999764. What is c rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2279217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/23, -3\/7, 125\/4, 3 in decreasing order.\nAnswer: 125\/4, 3, 4\/23, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -11, -2, -322649 in increasing order.\nAnswer: -322649, -11, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*m + m - 2*m - 6*m)*(1179*m + 0*m**2 - 3*m**2 - 1169*m) to the form g*m + o*m**3 + r*m**2 + s and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/((j*j\/j**(-12)*j)\/j))\/(j**(3\/11)*j))**(-6)*(j*j**1)**(5\/6)*j*j\/(j**(1\/3)*j)*j*j\/(j**(-2)\/j) assuming j is positive.\nAnswer: j**(2870\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 53 - 29 = -q, -15 = 5*q for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.3 - 0.9. Let r = 3.1 + -3. What is the closest to r in s, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 9) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 374113994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 4  (c) 2  (d) -0.2  (e) -286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -243761, -243570, -243379, -243188?\nAnswer: -242997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.5 + 3.46. What is the nearest to 2\/5 in -0.2, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123089.74 plus -5?\nAnswer: 123084.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) + sqrt(260)\/sqrt(45))\/sqrt(576).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 159 = 5*m, 0 = -5*m + y - 48 - 109. Let t = m - -35. Solve a + 3*r + 5 = -6, 3*a + t*r + 13 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 - -145. Let x(q) = q**3 + 52*q**2 - 3*q - 151. Let h be x(-52). Suppose -10*d = -h*d + 10. Which is the biggest value?  (a) d  (b) -2\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 1560*j + 384. Calculate s(-1).\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*i = -3*v - 20, -3*i - 2*v - 2 = 0. Let a = 1 - i. Let x = -282\/11 - -26. Is a != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 6 = 4*g, 0 = -4*j + 4*g - 2*g + 16. Suppose -33*r = -34*r + 16. What is the second derivative of 6 - 6*m + j*m**5 - 6 + r*m wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2058, 0, 16 in ascending order.\nAnswer: 0, 16, 2058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2687223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13826157251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.353814 nanograms to micrograms.\nAnswer: 0.002353814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -7. Let f = t + -10. Which is the second biggest value?  (a) -2  (b) f  (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 - 10. Suppose 0 = -c*u + 1 + 75. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 48 = 7*q. Let p = q - 7. Let m be 8400\/(((-4)\/p)\/(-4)). What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1974779 millennia in decades?\nAnswer: 19.74779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(35\/(-30))*5635\/(-4025).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 636811.2 centuries to millennia.\nAnswer: 63681.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/5 of a millennium in decades?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(110)\/(-4*sqrt(10) + sqrt(10) + sqrt(10)) - sqrt(55)\/(sqrt(180) + sqrt(5)).\nAnswer: -9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.6 - -2.4. Let t = 15.74 - 17.74. Let k = 0.037 + 18.963. What is the closest to t in z, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(147) + 4 - sqrt(147)) + sqrt(147))**2.\nAnswer: 70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18426 + -18426.24. Let g = 0 - -0.1. Which is the third biggest value?  (a) 0  (b) w  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 - -13. Let l be 2 + 4\/(8\/h). Let j(v) = 12*v + 2. Let g be j(l). Round g to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 47\/96?\nAnswer: 47\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + 16*x**2 + x - 14. Let p be a(16). Suppose 3*j + 2*m - 4629 = 57452, 2*j + p*m = 41384. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4 = -2*x. Suppose 4*v - x = 10. Solve s = v*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 2:15 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 57*a**2 - 216*a + 406. Determine i(53).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7893193 to the power of 1\/2, to the nearest integer?\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2707842 to the power of 1\/2, to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 4*b**2 + 82*b - 78. What is the remainder when 30 is divided by c(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -489 - -983. Suppose 0 = -56*m + 37*m + q. Let h be 1\/5*(-5 + 3). Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (32\/4 - 6)\/(-2 - 6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3092163 is divided by 966?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 3*d, 4*c + 4*d - 2*d = -6. What is the nearest to c in -0.5, 1\/2, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 206784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = a - 3, 4*i - 4*a + 12 = -0*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0167 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -20. Suppose 12*c - 13 = -c. What is the remainder when (9 + 26)*(0 + c) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 + 2*z**2 - 5*z**2)*(2*z**2 - z**2 - 2*z**2) + 66*z**4 + 235*z**2 - 235*z**2.\nAnswer: 67*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of k**4\/24 + 7*k**3\/6 - 2*k**2. Let x be z(-7). Does 3 divide 7 + x - (-2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 18268, 69642, 154124, 271714, 422412, 606218?\n\"Answer: 16554*q**2 + 1712*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 - 12*i**2 - 11*i + 19. Let a = 25 - 54. Let b = a + 41. What is the remainder when w(13) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 - 22*a**2 - 83*a - 12. What is n(-5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -346.\nAnswer: 69.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 - 28. Suppose 2*w - g = 2. Calculate the highest common divisor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-5)*j)**(22\/9)\/(j\/j**(-7\/4))**(-46))**(-5\/9) assuming j is positive.\nAnswer: j**(-3575\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 AM and 7:10 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8 - -9) + (1 - -2). Suppose -x*g - 7 + 28 = -z, -5*z = 4*g + 9. Suppose 0 = -c - g*c + 210. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -444, -1786, -4022, -7152, -11176?\n\"Answer: -447*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4629720.41 to the nearest one hundred.\nAnswer: 4629700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - w**2 - 1)*(8 - w + 15 - 12) to the form p*w**3 + t + f*w + s*w**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**2 + 4*r**2 - r**2 + (-r + 2*r + r)*(-2 + r + 2)*(-5 + 1 + 2).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**5 + 0*h + 0*h - h**5 + 0*h**5 + 2*h**5 - 2*h**5 + 0*h**5 + 4*h**5 + (-6*h**3 + 0*h**3 + 4*h**3)*(0*h**2 + h**2 + h**2) + 2*h**5 - h**5 - 2*h**5.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3977 + 2668. Let p = 86435\/13 - k. Find the common denominator of p and 75\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 76*x - 33. Let j(b) = 2*b + 15. Let w be j(-4). Is z(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + x - 1. Let u be d(2). Suppose -5*w + 80 = -4*a, 3*w - 31 = -2*a - u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -228 by -1.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1120386.\nAnswer: 2, 3, 29, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)*-3 + sqrt(72) - sqrt(2) - (-2 + sqrt(2))*3.\nAnswer: -16*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 133 + -14. Let v(m) = 5*m. Let p be v(-6). Let u = p + d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128691 is divided by 42897?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 453399568, 453399567, 453399566?\n\"Answer: -p + 453399569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -102780, -205516, -308174, -410748, -513232, -615620, -717906?\n\"Answer: m**3 + 33*m**2 - 102842*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 739\/(-246) - (23 - 26) and 7 + (10\/20 - -6).\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6*u**2 - 15*u - 21. Let a(y) = -y**2. Let m(c) = -12*a(c) + s(c). Let h be m(-9). Round h to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {u: 1, t: 9, l: 3, r: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21213301?\nAnswer: 401, 52901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-1\/10)*x)\/x**4 assuming x is positive.\nAnswer: x**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 12, 655, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*l**4*y - 4*l**2*o + 5728*l**2*y - 2*o*y - 15*o - 4481*y wrt l.\nAnswer: 28*l**3*y - 8*l*o + 11456*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (129\/(-6) + 4)*-24. Calculate the highest common divisor of 300 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, j: 2, d: 1}. What is prob of picking 1 j and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/2*(-4)\/6. Let m = -116\/365 - 6\/73. What is the second biggest value in h, m, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -826*h**3 + 585*h**3 - 807*h**3 + 4 - 2*h**3 - 4 + (-h + 2*h + 0*h)*(2*h**2 + 0*h**2 - 3*h**2).\nAnswer: -1051*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 679\nAnswer: -4\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 430*n**2 - 3442*n + 16. Let y be j(8). Let x be (-2)\/(-7) - (-250)\/7. Sort 4, y, 5, x in ascending order.\nAnswer: y, 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 4*v + 1. Solve -1 = w + w - i, v*i = 4*w + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -7\/177 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 11. Let j be (-2)\/12*(-24)\/186. Let r = j - -29\/93. Which is the nearest to 1?  (a) r  (b) -4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 3*p**2. Let g = -129 - -131. Let b(f) be the second derivative of 0 - g*f + 0*f**2 + 1\/12*f**4 + 0*f**3. Give b(a(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 3\/4282?\nAnswer: 3\/4282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005343236 to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-3\/11))\/(o**(-15)*o) assuming o is positive.\nAnswer: o**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/8)\/((-2)\/8). Let b be (f\/3)\/(1\/(-4)). Suppose 0 = 4*j - 0*j. Is j <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of g**2\/2 + 749. Let j(z) = 552*z. Calculate j(l(d)).\nAnswer: 552*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 42. Suppose -3 = t, k + t + 8 = b. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 8, -134, -0.27 in decreasing order.\nAnswer: 8, 0.1, -0.27, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1491 + 1547 = -3*m - 5*m. Let f(r) = r**3 + 8*r**2 + 7*r - 13. What is f(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/(-2))\/((2\/(-10))\/((-58)\/(-87))). Put -3, 1, z, -1, 0 in decreasing order.\nAnswer: 1, 0, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -253*s - 196. Let t(z) = -693*z. Determine t(v(y)).\nAnswer: 175329*y + 135828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 7*x**2 - 1 + 79*x**3 - 8*x**2 - 83*x**3. Suppose 4*g + 23 = -2*a + 3*a, -3*g - 6 = 3*a. Let l = g + 6. Calculate w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22007 and 737323?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 33, -5, -1, -2 in increasing order.\nAnswer: -9, -5, -2, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 1:12 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, t: 4, i: 1, h: 1, x: 5}. Give prob of sequence hu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3674034 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 2\/3  (c) 1  (d) -1382\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m + 7. Let l be b(-4). Let o = -3 - l. Let c(t) = 5*t**2 + 4*t + 4. Let u be c(o). Calculate the greatest common factor of 64 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3498 is divided by 94.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from aaaoqaqraqodarorao.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-317041)\/(-321) + (-4)\/6. Suppose -8 = -a*f + 988*f. Let h(g) = g**2 + 7*g - 8. What is h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 20*t - 78. Let n be l(5). What is the tens digit of ((-56)\/5)\/(n\/(-55))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 10:35 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -4495 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p - 4*p + p + 0*p + 2*p. Let q(b) = 7*b + 24*b - 4*b. Calculate y(q(x)).\nAnswer: -54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 4*d**2 - 23*d - 24. Let w be r(-12). Suppose -17*l + w = -4*l. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0572 times 0.4?\nAnswer: -0.02288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 133103?\nAnswer: 133033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in 0.2, -5, 0.3, -0.07, 77?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -931 - 937 + 10460*d + 3737 - 938 - 929.\nAnswer: 10460*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 116965 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19990759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 4 = -4*n + 60, 3*b + 5*n = 28. Suppose x = -x + b. Suppose 4*z + 12 = -4*y, 2*y = 5*z - y - 17. Solve u + z - x = -d, 0 = 5*u - 4*d + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*u - 1. Suppose 0 = 5*c - 4*z + 4, 2 + 1 = -5*c + u*z. What is the closest to -1 in 2\/7, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, m: 1, u: 1, y: 1}. What is prob of picking 1 p and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 0*m + 5*m - 32 = 0, 5*k - 4 = 4*m. Suppose x + k*p = -4*x + 9, -4*p = -4*x + 36. Solve 0*j - x = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/28*(15 + 117\/(-9)). Let l = -3 + 2.7. Let z = 253\/5 + -51. What is the closest to z in h, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, -24, -1.83, -5?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4061944 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 22464.384 seconds?\nAnswer: 374.4064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 519 (base 14) to base 2.\nAnswer: 1111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 2, 3*m - 14 = -4*o - 4. Suppose -2*d + o*d - 66 = 0. Suppose -20 - d = -p. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18216199, 18216203, 18216209, 18216217, 18216227, 18216239?\nAnswer: 18216253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(24))\/sqrt(3).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 4*u + 36 = 0, -5*u + 23 - 41 = 2*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 7579\/5  (c) 4  (d) -3  (e) 0  (f) -4\/3  (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.3372744 and -0.12?\nAnswer: 3.2172744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5 - 29.5. Let z = -33 - p. Which is the nearest to -2\/3?  (a) -0.1  (b) z  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of 23*y**4\/12 + 2*y**3\/3 + 7*y**2\/2 + 14*y. What are the prime factors of x(-2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {p: 1, d: 3, m: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -224*h - 12*h**3 + 13*h**3 + 883 - 832 with respect to h.\nAnswer: 3*h**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11684673 divided by -50583\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*h + 3*q - 166 = -81*h + 3*h, 4*q = 2*h + 218 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(114)\/sqrt(2))\/(sqrt(480)\/sqrt(10)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28725 + 48059. List the prime factors of l.\nAnswer: 2, 7, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 617782177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*j**5 - 8*j**5 + 13*j**5 + (-2*j**2 + j**2 + 0*j**2)*(-4*j**3 - 8*j**2 + 8*j**2) - 2*j**5 + 2*j**5 + j**5 - 6 + 0 + 9 - j**5.\nAnswer: 26*j**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 v, and 1 i when three letters picked without replacement from aqnvivaiavnvaa?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 - 7*t**2 + 2*t + 14. Let v be ((-28)\/(-6))\/((-18)\/27). Let q be z(v). Let m = -8 - -8.4. Which is the nearest to -0.1?  (a) q  (b) m  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 1:35 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (144\/1344)\/(8*(-5)\/160).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/7))**(-18)*(g**(1\/8))**(-8\/15) assuming g is positive.\nAnswer: g**(533\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 - -7. Let k be 4\/p + (-124)\/6. Let z = -11 - k. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**5 - 2*d**5 - d**5 + (d**3 + d**3 + 0*d**3)*(0*d**2 - d**2 + 4*d**2) + 4*d**5 + d**4 - d**4.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -261480 = -10720736\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5741 = 3*d - 4*m, -2*d = 2*m - 3*m - 3819. Find the second derivative of -d*t + 29*t**3 + 25*t**3 + 1901*t - 13*t**3 wrt t.\nAnswer: 246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.1878647 minutes?\nAnswer: 11271.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 3:31 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1984*n*p**4 + 784*n*p**2 + 389*p**4 + 771*p**2 wrt p?\nAnswer: -47616*n*p + 9336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (0 - (-2 - 0)). Is 1*((-166)\/b + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 AM and 12:28 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07128 rounded to 3 decimal places?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -88*q - 84*q - 961 - 80*q - 82*q + 331*q to m + v*q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -458 - -455. Let h(p) = p**3 + 5*p**2 + 7*p + 5. Determine h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 18 = 3*j. Let t = -12 + j. Solve t*a = 2*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-10))\/(22\/(-20) + 1). Let j(u) = 5*u**3 + 2*u**2 - u - 5. Let p(b) = -9*b**3 - 4*b**2 + 3*b + 9. Let f(s) = -7*j(s) - 4*p(s). Give f(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 5*t = 3, -2*f + 5*t + 3 + 3 = 0. Suppose 2*z + f = 3*z. Suppose -4*g + 2137 = -g + 2*m, 1433 = 2*g + z*m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3157)\/820*1*36\/(-132)*(-5)\/(-28)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-9))\/((-1345)\/(-12105)))\/((-2)\/(-23)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y**2 + 0*y**2 - 3*y**2)*(-1 + 2*y + 1) + (-9*y - 60 + 60)*(-1 - 2*y**2 + 1) to p + z*y**2 + l*y**3 + j*y and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 + (-6)\/(-9)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1369, 1314, 1223, 1096, 933, 734, 499?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 5 = 2*d, s - 7 + 8 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-18))\/(6\/(-27))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 6 = 5*h - 6, y + 709 = 2*h + 706 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1583 + -96565\/61. What is the nearest to -2 in 5, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-50)\/30*6)\/((-10)\/15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - 3. Let n be o(-3). Suppose u - 59 = -n*u - 3*w, -5*w = u - 53. Suppose 0 = -4*s + 5*x + u, 4*x = 4*s - 69 + 5. List 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 smallest value?  (a) 1\/4  (b) 2\/5  (c) 0.51  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -9  (b) 6\/17  (c) -1\/2  (d) -1  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**3 - 3*m**3 + 736*m**2 - 2150*m**2 + 5479*m**2 + 1 + 3069*m**2.\nAnswer: -2*m**3 + 7134*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 92551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23\/((-2208)\/40)*(-6)\/6*-2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m**5 + 30425*m**4 + 304645*m**3 + 639975*m**2 = 0 for m.\nAnswer: -7, -3, 0, 6095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 8*m = -40. Let j be (-2)\/3*(-132)\/m. Solve k + j = -4*r, -1 = 5*k - 4*r + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8048 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11804912153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 3*f - 11*f - 8*f - 7*f + 4195 + 3526. Is h(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.06 + -0.16. Let t = a - 1.9. Let x = -0.29 - 0.01. What is the nearest to t in x, 0, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -103*r - 5867. Let s be t(-57). Sort 3, -2, 2, s in decreasing order.\nAnswer: s, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f + 17. Let v(k) = 62*k**2. Let h be v(0). Calculate m(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k + 29. Let b(n) = 2*n + 15. Calculate 9*b(q) - 4*o(q).\nAnswer: -2*q + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 9953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*w - 5*w - 16. Suppose f - 2*n + 122 = -f, -w*f = -n + 247. Let z = f + 93. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + (-54)\/(-30) - (-21)\/5. Solve 2*y + 34 = -y - h*g, -5*y - 2*g = 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2277 and 6578.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 97274360835 less than -5?\nAnswer: -97274360840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 118*n**3 + 48*n**2 - 143*n - 34. Let c(r) = 28*r**3 + 12*r**2 - 36*r - 8. Let t(o) = -17*c(o) + 4*q(o). Suppose t(b) = 0. What is b?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -147630 or -146639?\nAnswer: -146639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z. Let h be 1 + 0 - (16 - 20). Let c(m) = 6*m - 16*m - 6 - 8*m. Let g(i) = 18*i + 5. Let j(f) = h*c(f) + 6*g(f). Calculate q(j(u)).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -9*c**2 + 4*c + 20. Let o(b) = -10*b**2 + 6*b + 19. Calculate -2*o(f) + 3*q(f).\nAnswer: -7*f**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 17 = 3*l - u, 4*u = l + 5. Let j be (754\/l)\/((-1444)\/(-276) + -5). Let o = j - 1082. Which is greater: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 1558*h = 1561*h - 6, -5*i + 5*h - 5 = 0. Which is the second smallest value?  (a) 0.5  (b) i  (c) -3608\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 822*g - 920*g - 2601 - 3279 = 0 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 - 11. Suppose 15 = -v*z - 3*z. Calculate the common denominator of -2 + (110\/8 - z) and -35\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (188\/(-5))\/(3308\/4135) + -7 + 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4510 - 2942. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (9\/12)\/((-2)\/(-8)). Suppose 4*m - o*c - 24 = -5*c, 3*m - 3*c - 9 = 0. Calculate the greatest common divisor of m and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 16*k**4 - 2*k**3 + 2*k - 29. Let x(o) = -33*o**4 + 5*o**3 - 5*o + 59. Let b(j) = 5*u(j) + 2*x(j). Find the first derivative of b(c) wrt c.\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 326 divide 328151911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.6776 rounded to 0 decimal places?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120 + t - 85 - 72.\nAnswer: t - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + 2)*(-17)\/(-2). Let d = 8 - f. Let m(k) = 121*k**3 - 9*k**2 + 7*k + 1. Let r be m(d). What is r rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2641.\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 84861263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1376164 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 3 + 0)*(o**2 + 0 + 0) + 26*o**2 - 13*o**2 - 5*o**2 + 5*o to the form i*o + d*o**2 + q and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 175713217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 b when three letters picked without replacement from {m: 1, b: 1, t: 2, y: 1, f: 2, p: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/8)\/(3\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 4:48 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/55 and 0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240) + -2*sqrt(240)*2 + sqrt(240))\/sqrt(12))\/(2*(sqrt(4)*-2 + sqrt(4))*-6).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i**2 - i + 1220. Let f(c) = 3*c. Determine d(f(a)).\nAnswer: 18*a**2 - 3*a + 1220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000014344 rounded to 7 dps?\nAnswer: -0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -106768 divided by -26692\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2254706?\nAnswer: 2, 37, 30469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/sqrt(3)*-3 - -4*-3*sqrt(2) - sqrt(512)*-1*4)**2.\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12754\/5 - -2552. Solve -r*a**2 + 6\/5*a - 2\/5 + 2\/5*a**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43336168 a multiple of 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of -q**9\/7560 + q**8\/4200 + q**3\/3 + 5*q. Let t(j) be the second derivative of f(j). Suppose t(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6803*o + 345*o - 1307*o - 1067*o to j*o + h and give j.\nAnswer: -8832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27bbb95 + -90?\nAnswer: 27bbb05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of -l**3\/3 + 7*l. Let o(y) = 3*y**2. Give s(o(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-2)\/(4*(-1)\/2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of 2*k**2 + 8\/3*k**3 + 0*k + 1\/24*k**4 + 0. Is 4 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1181 + 1229. Let g(r) = -120*r**3 + r + 1. Let d be g(-1). What is the highest common divisor of o and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 less than 0.0359?\nAnswer: 8.0359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -5, 3, 2\/35, 3\/5, 1 in ascending order.\nAnswer: -5, 2\/35, 3\/5, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 9:03 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 103387 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, l: 2, b: 6, c: 4}. What is prob of picking 1 c and 1 l?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 259\/222*(-16)\/(-14)*(2745\/(-12))\/(-5)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 19*l + 45. Let x(b) = 18*b + 46. Let j(y) = 4*k(y) - 5*x(y). What are the prime factors of j(-18)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nkkk when four letters picked without replacement from knkkkkynkkkkynnk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) -1  (b) -8\/21  (c) 3  (d) -106.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -376+1090\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.3 + 0.7. Let n = 5 - c. Sort -2\/11, n, 2.\nAnswer: -2\/11, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6593 greater than -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -474, -796, -1344, -2112, -3094, -4284, -5676, -7264?\n\"Answer: y**3 - 119*y**2 + 28*y - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = -19*c + 14*c - 7*r + 40, -2*c = 2*r - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*1\/(-18))\/(-35*101\/233310).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -8\/9, -15\/6674 in ascending order.\nAnswer: -8\/9, -2\/5, -15\/6674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.133 - 127.533. Round k to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 4*j**2 + 4*j + 1. Let c(y) = -2*y - 21. Let q be c(-9). Let b be a(q). Sort 0.5, b, -1\/12 in ascending order.\nAnswer: b, -1\/12, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 = -20*q + 6 + 834 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 19 = -4. Let m(b) = -8*b. Let x be m(v). What is the highest common divisor of x and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2\/419199 - 129875470\/419199. Let u = -310 - z. What is the biggest value in -2\/3, -0.08, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211068 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6105 (base 8) to base 10\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -24 - -19 - -11*2. What is the derivative of -9*y - 11*y - u + 23*y wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6\/5 or 3635584?\nAnswer: 3635584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 times -5.5?\nAnswer: 203.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 221 divide 2153866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6352\/15*m - 2\/15*m**2 - 5043488\/15 = 0.\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 1. Suppose 3*k = 5*n - l*n + 39, -2*n - 9 = k. Let d = n - -11. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30071929 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5+-2115\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -4. Suppose -4*s = -l*s. Is 0 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5244 = -260*j + 50 - 3126 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -85832 - -4?\nAnswer: -8582e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -1. List the prime factors of w + 2 + 22\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1703 and 70109?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l + 5. Let h be q(3). Let w = 9 - 5. Solve -b - w = -h*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*(-5)\/(-45) + (-137)\/(-9). Solve -3*g - 2*g = h, -27 = -3*v + 4*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 39 = -2*y, -4*y + 3*m - 153 + 124 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-4*(-1 + sqrt(1100)) + 2)**2 + -5.\nAnswer: -480*sqrt(11) + 17626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1277\/3 or 426?\nAnswer: 1277\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 131387\/28845 - -2\/3205. What is the common denominator of -29\/19 and c?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56781 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8479 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8401 by 4.\nAnswer: -8401\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 10*z**5 + 27*z - 5. Let g(u) = 15*u**5 + 41*u - 8. Let f be (-14 + 4)*12\/15. Let d(q) = f*o(q) + 5*g(q). What is the second derivative of d(n) wrt n?\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107 = n - 3*d, 5*d = 2*n + n - 305. Let v = -93 + n. Suppose -j + 4*o = -v*j + 20, 4*o = -4*j + 32. Solve 2*g = z - 2*z + 13, -j*g + 41 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2. Let v(g) = -1990*g. Determine v(n(t)).\nAnswer: -1990*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 140.8 - 157. Let c = -14 - r. Let y = -2 + c. What is the smallest value in 0.3, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 12804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrxrrr. Give prob of sequence rrrx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 5:11 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 5*s = -305, c - 4*c + 2*s = -178. Calculate the least common multiple of c and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2113243 - -23411?\nAnswer: -2034332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 433 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5971673\/20692140 + -39\/25930. Let g = -1\/228 - o. What is the closest to -4 in g, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 7\/2, -0.01, 2\/7, -13, -2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/21 or 28.215?\nAnswer: 28.215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dduu when four letters picked without replacement from uduududu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2103 = -4*l, 11*l = 2*n + 10*l - 4178. What are the prime factors of n?\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(171)*-2 + sqrt(171)*1*-2)*4 + 5 + (-4*(sqrt(76) - 1*sqrt(76)))\/(sqrt(4) + 1*sqrt(36)))**2.\nAnswer: 1440*sqrt(19) + 44001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163968876.\nAnswer: 2, 3, 17, 113, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, 2, -5, 0.2, -54704, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4753 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -11\/20, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*1\/(-2) + 47. Let h(g) = -45*g**3 + g**2 - 4*g + 2. Let l be h(1). Let k = j + l. Solve 4*f = 3*n + 10, k*n + 5 = 2*f + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -156  (b) 18  (c) 67\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318*t = -404*t - 74655 - 74985 + 47116 for t.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 78\/59  (b) 3\/5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*b - 19*b - 24*b - 2 - 54*b + 27*b - 287*b**2 wrt b?\nAnswer: -574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n - 722 = -53*n. Solve 0 = -3*w + n - 28 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1268 divided by 562?\nAnswer: -634\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 362800827 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 12.3 + 1973909071\nAnswer: 1973909083.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12\/7  (b) -0.08  (c) -0.32  (d) 6.2  (e) 43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -123*u**2. Let l(d) = -200*d - 33. Let q(x) = 109*x + 18. Let c(m) = 6*l(m) + 11*q(m). What is h(c(n))?\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (5*1\/(-7))\/(6016\/(-126336))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 5, -3, -1 in descending order.\nAnswer: 5, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 7*d - 3*d - 6 + 0*d - d**2. Suppose 4*m = 17 - 1. Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339 + 1326 + 303 = -82*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -64201660*n. Let f(t) = -4271*t. Determine 30065*f(j) - 2*o(j).\nAnswer: -4295*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-2)*-4*5\/80.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 30\/135 - ((-932)\/18 - 0). Suppose 61 - h = 3*g. Suppose -4*v + 6 = -g*z, z + 2*z - 21 = -5*v. Solve -z*y - 4*x - 16 = 3*y, -2*x - 18 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0 and -31973?\nAnswer: 31973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of f**3\/3 + f**2\/2 + 15*f + 2. Let t be c(0). Let i be 32 - (-1)\/((-5)\/10). Calculate the greatest common divisor of i and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of g**6\/120 - g**5\/12 - g**4\/12 - 2*g**3 + g**2 + 587*g - 3. Calculate c(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 3660 - 1485 = 0. Let s be h\/(-63) - (-4)\/(-18). What is the units digit of (-39)\/(3 + s\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 4, 8, -5, -11, -1, -4 in descending order.\nAnswer: 12, 8, 4, -1, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-4\/3)\/v)\/v)\/v**(2\/65)*(v*v**(-4\/15)\/v)**(-3\/4))**39 assuming v is positive.\nAnswer: v**(-617\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1708, 1707, 1706, 1705, 1704, 1703?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*l - 3 = -2*u, -u = 3*l - 1. Suppose 3*q - 407 = 4*z, -2*z = -7*z + u*q - 510. Let i = z + 172. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f + 6*f = -1620. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*j**2 - 153 + 30*j - 146 + 299 - 12*j**3 wrt j?\nAnswer: -72*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10520304 + 5?\nAnswer: -10520266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 61*u**2 + 319*u + 40. What is y(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9333\/136)\/(-61))\/(((-3)\/4)\/1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 10:07 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1048.9 and 26.025.\nAnswer: -27297.6225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o - 8. Let x be g(7). Let w be (-1670)\/(-20) - x\/(-2). Suppose 13*y - 14*y + w = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 9:01 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 divided by -2174344.\nAnswer: 87\/2174344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1282 (base 12) to base 2\nAnswer: 100001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 37*p**2 - 73*p + 161. What is the remainder when 331 is divided by q(35)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189*j - 51*j + 40*j = -188*j + 11712 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 3*u**3 - u**2 + u + 24. Give x(-4).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 17 (base 8) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/(-10) - (-14592114)\/(-380))*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 306\/5 or -1?\nAnswer: 306\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3126.14388 minus 258?\nAnswer: -3384.14388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 31437 = 143563. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4 + (sqrt(128) + -2 - sqrt(128))**2) + -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {b: 9, q: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1956191231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*p - 3*p**2 + p**4 + 2*p**2 - 2*p**3 + 11*p to the form q*p**4 + m*p + a*p**3 + n*p**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 25 - 7 = 0. Suppose 4*r - 404 = 4*t, -3*r + k*r - 2*t - 299 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of s**5\/30 - s**4\/8 - s**3\/2 + s. Let i(m) be the second derivative of x(m). What are the prime factors of i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8605?\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1551*l*v**3 - 168*l*v**2 + 2*l*v wrt v?\nAnswer: -9306*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6450 and 102391600?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/24 and 53\/3489525.\nAnswer: 27916200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = n - 3*n - 23, -u + 8 = 3*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*m - 68*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 4*w - u, -4*u - 29 = -9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 5*y. Let n(x) = -34*x - 3447. Determine n(a(f)).\nAnswer: -170*f - 3447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 339 and 45?\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*i**2 + 2792*i - 487204 = 0. What is i?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 88 and 712.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 2*l**3 + 17958*l**2 - 53888*l + 35928 = 0.\nAnswer: -8982, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**3 + 3*z**2 + z - 1. Let l be f(-3). Let x = l - -91\/3. Which is the nearest to x?  (a) 2  (b) -10  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 5978 = -1462. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 17*f**2 + 26*f + 16. Let s be l(-10). Suppose 19*k - 5*k - s = 0. What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/((-44)\/(-102)) + 0 and 6\/9 + (-332)\/30.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.7 - 8. Let m = -7.96 + -1.94. Let c = 4.9 + m. What is the biggest value in c, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -3*v**3 - 40266*v**2 - 6365277*v + 6405546 = 0.\nAnswer: -13262, -161, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 254, -10, 3, 161 in ascending order.\nAnswer: -10, 3, 161, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 745 = -d - 4*d, d - 2*i - 137 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2200000112 - -2?\nAnswer: 2200000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 3924.3  (b) -0.3  (c) -1\/4  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - ((3 + -9 - -2) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 5*t - 20, -5*t - 4 = p - 4*t. Suppose p*n = -4*n - 4. Let d be ((-15)\/(-6) - 2)*-1. What is the smallest value in n, 0, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -210210 (base 3) in base 14?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**11*i*i)\/(i\/(i*i**(-2\/9)\/i)))\/(i\/(i\/i**(-3\/2)))**(-24) assuming i is positive.\nAnswer: i**(-218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/28 and 5\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -127519, -127507, -127481, -127435, -127363, -127259?\nAnswer: -127117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9039 - 9035. What is the closest to -47 in -7\/4, n, -2\/3?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h**0)**(-8\/5))**36)**(-3\/5))**(-3) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 - (-29 - -43) - (-1 - -26).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(162) - (sqrt(162) + 0 + 5) - sqrt(162))**2 + 5*(sqrt(162) + 0)**2 - (3*(6*(-2 + sqrt(162)) + sqrt(162) + -3))**2.\nAnswer: -72474 + 17100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2417\/5 + 69893\/145. Find the common denominator of o and 1\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 279\/217*(-12)\/(-2) - 8. Which is the nearest to 0.3?  (a) u  (b) 3  (c) -3  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78145?\nAnswer: 5, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 12 = -6*u. Suppose 9*p - 33 = -2*p. Find the second derivative of -o**4 - o**u + 3*o**4 - p*o + o**3 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 5 - 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -99.568 rounded to one dp?\nAnswer: -99.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 16ddb12?\nAnswer: 16ddb16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 21 - 21 - 3*y + (-2*y + 3 - 3)*(5 - 4 - 2) - y + 0*y - 4*y + (3 + 2*y - 3)*(-6 + 4 + 3) as f + v*y and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1107*j**3 + 16 - 33 + 17 + 611*j**3.\nAnswer: 1718*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 14, r: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**9\/b)*b)\/b)**23 assuming b is positive.\nAnswer: b**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(120\/48 + (-2)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -264849*v**4 + v**2 - 6*v + 115150?\nAnswer: -3178188*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 234156 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*l + 2*l - l)*(24 - 8 - 8) in the form g + p*l and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*l - 11*l - 23*l)*(-3*l**2 + 0*l**2 + 4*l**2) + 9*l**3 - 42 + 0*l**3 - 11*l**3 - 2*l**2.\nAnswer: -29*l**3 - 2*l**2 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -83*r - 5239. What is n(-63)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l**2 + 9*l - 18. Let r be a(-6). Let f be 2 - r - (-2 + 3 + -4). Solve -17*d**5 - 15*d**f - 6*d**2 + 29*d**5 + d - 11*d**4 + 1 - 14*d**3 = 0 for d.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 9*t + 11. Let f(b) be the third derivative of -b**4\/12 - 4*b**2 - 4*b. Calculate f(l(c)).\nAnswer: -18*c - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 - m**2 - 2*m**2 + 4*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 112 + -105 + -10 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 169\/(-52)*(-28)\/14*40\/((-8)\/(-2))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 88040291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35.6 + -36. Let m be 3\/(-21) + (-72)\/(-14). Let q = -0.1 + 0.1. Sort m, q, r in decreasing order.\nAnswer: m, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363 = -u + 5*x, -u + 4*x = -6*u + 1786. Is 31 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65737703, -65737702, -65737701?\nAnswer: -65737700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -34507646 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.06, -1\/4, 12, 37, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -221 times -0.02\nAnswer: 4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24222 divided by 2.\nAnswer: -12111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1789 is divided by 311.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(512) + sqrt(512)*1) - sqrt(512))*2)\/(sqrt(4) + sqrt(384)\/sqrt(6) + sqrt(36) + (sqrt(36) - (sqrt(36) + -1*sqrt(36)))).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 130 (base 14) to base 11\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -117551.\nAnswer: 4\/117551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 + 16. What is the greatest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.27 + -0.09. Let s = 0.34 - h. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.042981006 and -1889.\nAnswer: -1888.957018994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) - sqrt(152)*-3)*-2)\/((2*sqrt(64))\/sqrt(8)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + w + 2*w)*(-3*w**2 + w**2 + 0*w**2) + 912*w**2 + 926*w**2 - 1838*w**2 + 22123*w**3.\nAnswer: 22119*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 3:37 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 44*a**3 - 10*a + 2. Let v = -7590 - -7580. Let u(s) = s. Calculate v*u(w) - f(w).\nAnswer: -44*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 98769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -81644 (base 10) to base 7.\nAnswer: -460013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (4*sqrt(88))\/sqrt(8) + sqrt(2156) + 1.\nAnswer: 6 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.87 + -303.03. Let j = 272 + y. Let r = -33 - j. Round r to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14 and 150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.2 + -6.81. Let n = t + -2.09. Let o = n - -1.78. Which is the biggest value?  (a) 3  (b) o  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1692064 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 411691156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 20 - -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 678 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2496, 2501, 2508, 2517, 2528, 2541, 2556?\nAnswer: 2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - 98 - (7 + -5)*-1. Let b be ((-1*372)\/4 - 1) + -4. Is b not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*s**2 + 5*s**2 + 0*s**2)*(-4 + 2 + 4) + (0 - 11 + 2)*(7*s**2 + 2*s**2 - s**2) as i + w*s + n*s**2 and give n.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -830, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0373 + 0.1073. Which is the nearest to -0.1?  (a) 0.82  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 13 - 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/8*-108*((-50)\/(-20))\/5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2)*(a + 0*a + 2*a)*(-59*a + 59*a - 10*a**2).\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3248 is divided by 105.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3620 + 3646. Calculate the remainder when 38 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3379*s + 1956. What are the prime factors of t(-6)?\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 320871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -87 - -85. What is the closest to -2 in h, 2, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**6\/360 - u**4\/6 - 5*u**3\/3 + 3. Let z(y) be the third derivative of w(y). Differentiate z(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22531776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 2*p + 11709 - 3043, -4*p - 10831 = -5*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 0)*(120\/50)\/6.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 4  (c) -12  (d) 31\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -1 - 0, 5*q = 4*b + 11. Suppose q*j - 2*j = -v + 56, 4*v = 2*j + 224. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -13*c + 10*c - 15, -13 = 2*c + 3*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lil when three letters picked without replacement from {o: 4, l: 5, i: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**24*v)\/v**(-2\/3))**(-36) assuming v is positive.\nAnswer: v**(-924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/10572 and -79\/38764.\nAnswer: 116292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 791524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -11*g - 3. Let y(c) = 15*c + 4. Let o(f) = -8*n(f) - 6*y(f). Let m(v) be the third derivative of 5*v**4\/8 + v**2. Calculate m(o(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r + 4*r - 4*r)*(-2 + 0 + 0)*(900*r + 1153*r - 1336*r)*(2 - 7 + 2) to z*r + q + c*r**2 and give c.\nAnswer: -4302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 8*f + 5. Suppose 28 = -3*x + 4. Let i be k(x). Suppose -45 = -5*l + 3*v, -7 = 6*l - 3*l + i*v. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -6. Let z(g) = 2*g**2 + g - 1. Let s(n) = n**2 - 19*n - 85. Let j(m) = s(m) - z(m). Let h be j(-14). Solve h = -q + u*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + sqrt(91)\/(sqrt(14)\/sqrt(2)))**2 + 3 + (sqrt(117))**2 - (-6*((2*sqrt(91) - sqrt(91)) + sqrt(91)))\/sqrt(7).\nAnswer: 12*sqrt(13) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 80 = -4*f. Let z be (-2)\/((4\/f)\/(-1)). Let v = z - -17. What is the lowest common multiple of v and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -5*h - 6. Let z be -5*(0 - (-2 + 1)). Let o(d) = -4*d - 3. Let w(q) = 8*q + 5. Let n(i) = 5*o(i) + 2*w(i). What is z*f(c) + 6*n(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-14) - (150\/(-28))\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -174*d + 35. Let i be c(-3). Suppose -i = 8*s - 1677. Calculate the greatest common factor of 40 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 69353*o**3 - 3*o**2 + 194*o - 193. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68479 is divided by 1396?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of g*l*s - 119*g*l + 7*g*s - 1787*g + 2*l - 9896000*s wrt g?\nAnswer: l*s - 119*l + 7*s - 1787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2307877475 + -0.04.\nAnswer: 2307877474.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 3, 2\/19, -1, -92?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -91719*u**3 - u - 8601 wrt u.\nAnswer: -550314*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 9*f**2 + 8*f + 3. Let l be r(8). Suppose 2*t = l*w - 364, 2*t = 7*t + 3*w + 910. Let s be t\/(-13) - (3 - 1). Sort s, 3, -2 in ascending order.\nAnswer: -2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 - 16. Let f be ((-15)\/(-6))\/((m + 0)\/(-4)). Does 4 divide (-12)\/10*(-25 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*k*r**3*x**2 - 7*k*r*x**2 + 53*r**3 + 2*x**2 wrt k.\nAnswer: -5*r**3*x**2 - 7*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2210333 - 2210321.500138. Let a = -11.5 + d. What is a rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8846.946 seconds to milliseconds.\nAnswer: 8846946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(66)*-2*-1 + sqrt(66))*6)\/((sqrt(600) - -2*sqrt(600)*2) + sqrt(600)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 65.951 + 0.024.\nAnswer: 65.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h**2 + 11*h + 7. Let w be u(6). Let v = 5 + -4. What is the greatest common divisor of w and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*y + 8 = 0, -5*y + 15 = 4*o - 0*y. Suppose -o*u = -2*u - 12. Solve -u*f = -4*d - 4, 2*f - 3*d = 5*f + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 - w + 13. Let u be j(-4). Suppose 4*t - 3*s - 40 = 0, 2*s = -3*t - 3*s + u. Solve t = -5*i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -6. Let i = -85 - -94. Let y be ((-3)\/i)\/(1\/(-60)). Solve 5*u + f = 0, n - 4*u - y = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -186*d + 180*d + 12. Let o(j) = 5*j + d + 3*j - 4*j - 3*j. Let z(k) = -1. What is -o(p) - 5*z(p)?\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 340 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3872.075 to the nearest ten.\nAnswer: -3870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, -1, -49, -149, -319, -577, -941?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -5, -2\/17, -3\/4, 0.7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5020, -10040, -15060?\n\"Answer: -5020*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40437*g - 10111*g - 10113*g - 10103*g - 10107*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 329 = -34*k + 41*k. What is the remainder when 135 is divided by k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.06 - 4.46. Let q = -1.4 - z. Let h = -3 - -2.9. Sort h, 4, q.\nAnswer: h, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.67 + 2.8. Let l = -0.9 - i. Round l to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8 and -18204.\nAnswer: -18212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oou when three letters picked without replacement from {x: 7, o: 2, u: 11}.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 225 + 3?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 at most as big as -5931311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 2*y = -14, v = 24*y - 25*y + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**2 - 5*g**2 + 4*g**2 + (-3 + 3 - 2*g)*(-g - 3 + 3) - 8*g**2 + 5*g**2 + g - 4*g**2.\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(135\/(-6)) - 673600\/(-225). Suppose -2*w - h = -1203, 5*w - 3*h = -h + c. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1489 divided by -5.\nAnswer: 1489\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 5*v + v)*(v - v + v**2) + v**3 + 0*v**3 + 0*v**3 + v**3 - v**3 + 3*v**3 + (3*v**2 - 2*v**2 + v**2)*(-2*v + 5*v - v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mymy when four letters picked without replacement from hhhhhhmhmhhyymmh?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -2\/25  (c) -1  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19519.7 + -19520. What is the third smallest value in -5, -1\/3, 141, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7471 divided by -9?\nAnswer: -7471\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(1\/3)*n)\/(n*n*n*n*n**(1\/4)*n*n*n))\/(n\/n**1*n)**(-27) assuming n is positive.\nAnswer: n**(253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 159.019 times 11\nAnswer: 1749.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13970918 to the nearest integer?\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -37  (b) -22  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1632*u**4 - 5786?\nAnswer: 6528*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -121 and 1123.\nAnswer: -135883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 + 0. Suppose 0*n - 3*n - g = 0. Which is the smallest value?  (a) 1  (b) n  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -3061 and -3061 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + -2*-2*(sqrt(1216) + -5*(-1 + sqrt(1216)))*3).\nAnswer: -2304*sqrt(19) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 21875477, 43750952, 65626425, 87501896?\n\"Answer: -b**2 + 21875478*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of 7*o**5\/300 - o**4\/20 - 8*o**3\/15 + 332*o**2. Let h(g) = 0. What is g?\nAnswer: -8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66950006 = -5*o - 14*y + 16*y, -66949985 = -5*o - 5*y. Round o to the nearest 100000.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i - 10*i + 26 = -5*p, -i = -2*p - 5. Are 79 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 7*q + 20 = 0. Let x be (3 - (5 - q)) + 0. Solve 0*z + 5 = 5*z - 5*i, x*i = -10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(76) - (sqrt(76) + -2)**2)*4 + ((sqrt(931) + sqrt(931) + sqrt(931)*2)*-3)**2*5.\nAnswer: 40*sqrt(19) + 670004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 - 51.5. Suppose 0 = -n - 2*n + 3. What is the smallest value in 0, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 4*b - 301 = -42, 5*r = -3*b + 263. Let u be (16 - 10) + 1 + -5. Suppose -d = 2*s - 37, u*d - 18 = -5*s + r. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2 - 4329*z + 5190491.\nAnswer: -(z + 3023)*(2*z - 1717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 637701 = 2*u - 562299. Round u to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -3*a**5\/40 + a**4\/8 + 5*a**3\/4 + 9*a**2\/4 + 22*a. Factor c(z).\nAnswer: -3*(z - 3)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 111433 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 62 + -93904a?\nAnswer: -938a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-2\/5)\/u)**(-18)*u*u**1*u\/(u*u\/(((u*u**(-2\/11))\/u)\/u)) assuming u is positive.\nAnswer: u**(386\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2515.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**3 + 37*o**2 - 70*o + 4. Let i be w(2). Let v(c) = -5*c**2 - 19*c - 25. Calculate v(i).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1180*v**2 + 59*v - 7160*v**2 - 57*v.\nAnswer: -8340*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 0. Let u = -29 + 49. Let l = 27 - u. Is g at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 96*x**2. Let m(l) be the first derivative of l**3\/3 - 22. Determine m(p(z)).\nAnswer: 9216*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w - 7 = -12 - 7. What is the nearest to w in -43, -1\/5, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 0.07269  (c) -0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 3*j**2 + 9*j + 6. Let m be y(-6). Let s be (-2)\/(-14) - m\/(-21). Solve -3*o + 0*c + 9 = -s*c, -5*o + 3*c + 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 5*x**2 - 2*x + 6. What is s(6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 187044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.4 or -173?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3156 a factor of 388314240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70 - -67. Calculate the remainder when 9\/((-8)\/(-6)*g\/(-12)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -35440, -5, 5, -8 in decreasing order.\nAnswer: 5, -5, -8, -17, -35440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -21 divided by 5\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*x - 2*x**2 + 3*x)*(21*x**2 + 34 - 34) - 3*x**3 - 2*x + 4*x**4 + 0*x**4 - 7*x**4 to l*x + f*x**2 + a*x**4 + u*x**3 + v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 1:06 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-15 + ((-13992)\/42)\/(-22))\/((-1)\/(-10))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + a = 17, a - 7 = -m - 2. Suppose 30*y - 14 = 23*y. Let l(r) = y - 1 + 128*r - 63*r - 59*r. Give l(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -164*n + 8. Let c be o(-4). Solve -664 - 8*v**2 + 4*v**3 + c + 4*v = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -63 + 97. Suppose 4*k - 103 = -k - 2*l, 0 = 2*k - l - g. Let p = -1 + k. Solve p - 2 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 145*p**3 + 36346 - 2*p**2 - 36346 as o*p**2 + k + n*p**3 + v*p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.21 - 0.01. Let x = y + -0.65. Let q = -1.6 + x. Sort -5, q, 0.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50562 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2663790*o**3 - 6*o**2 - 862679*o wrt o.\nAnswer: 15982740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 7*v**2 - 7*v - 4. Let j be o(-6). Suppose -3*k + 3 = 3*d, 2*d + 0*d - 3*k + 18 = 0. Let m be (1\/j)\/(d\/(-36)). Solve 0 = -m*x + x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + j + 2)*((6*j - 2*j - 2*j)*(-3 + 3 + 2*j) - 11 - 432*j - 444*j + 878*j - 2*j**2).\nAnswer: 2*j**3 + 2*j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u + 4*u + 0*u + (0 + 2*u + 0)*(1 + 2 - 1) + 0*u + 2*u - 3*u)*(-2*u + 6 - 6)*(-10 - 21 - 16) to g + f*u + h*u**2 and give h.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1472 and 31.5033.\nAnswer: 4.63728576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*w + 20*w. Suppose w = 5*z + 2*r - 874, 4*r + 324 = -4*z + 1016. Calculate the greatest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 117628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -999*v - 10*x = -996*v + 65, 50 = -4*v + 5*x for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 114*t**2 + 103*t**2 + 114*t**2 - 28 - 334*t**2 to the form w*t**2 + h + r*t and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10918*p**3 - 9876*p**3 - 11667*p**3 + 26721*p**3 - 6068 with respect to p.\nAnswer: -17220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.618807 - -0.6213. Round l to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q + 5*k - 61, -3*q = 4*k - 9 - 49 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 153 + -145. What is the smallest common multiple of a and 170?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - f + 13 + 1 = 0, -4*l + 4*f + 16 = 0. Suppose -l*b + y = 2*y - 24, -3*b + 24 = 3*y. Suppose -13 = b*m - 21. Is -1\/8 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 - 6) + (-7 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/119 and 36\/661997?\nAnswer: 661997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -765\/4 - -190. What is the closest to 0 in k, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12263000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 717, 1669, 2639, 3633, 4657, 5717?\nAnswer: 6819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - 8) + (-1 - -4). Let c be 7 - (6 - 3\/y). Suppose -36 = -5*w + 4*m, w + 0*m + c*m = 12. Calculate the lowest common multiple of 3 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25319\/6 - -4232. What is the common denominator of y and 113\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -25, -11, -7172, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 131797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-15)*o)\/(o\/(o*o**(-1\/4))))\/(o**3)**(-44) assuming o is positive.\nAnswer: o**(471\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*j = -2*j - 10*j + 828. Solve 4*o - 17 = -z, z - 20 = 18*o - j*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (-5 - -5 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 greater than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7006069 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*h - 23 = 0, 0 = -l + 2*l - 5*h - 26. Let f(p) = 2*p**3 - 11*p**2 - 6*p - 2. Let y be f(6). What is the smallest value in l, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 14 - x**2 - 8 + 2*x**2 + 2*x. Let b be g(0). Suppose 0 = b*a - a - 185. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -915\/637 + 44\/49. Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 27 = 6*l. Suppose 3*d = -i - l, i + 0*d + 2*d = -5. Solve -5*f - i = -s, -3*s = 3*f - 3 + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ekkeekekek. What is prob of sequence ek?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -235 divided by -4?\nAnswer: 235\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 3)*(f - f - f + (-2 + 2 + 1)*(1 - 1 + 2*f) - 5 + f + 5)*(2 - 1 + 0).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 54*g*o**2 + g*o + 57*g + 98*o**2 + 325*o - 1 wrt g.\nAnswer: 54*o**2 + o + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + -3. Let u(n) = -7*n + 8. Let g(v) = 55*v - 10 - 13 - 35*v. Let i(b) = l*g(b) - 17*u(b). Let w(f) = 3*f - 6. Determine 8*i(m) + 3*w(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 13 - 4 - 1 - 22*j + 7 - 17. Let b(k) = 43*k + 5. Calculate 2*b(m) + 5*g(m).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -146655 by -3.\nAnswer: 48885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96778681.\nAnswer: 43, 2250667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 37, 1\/3, -31\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 63588 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/44*(-2)\/(-2))\/(-12)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiss when four letters picked without replacement from iwiskkiiswiis?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 287a (base 11) to base 12\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 6:31 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 11*n**2 - 9*n - 31. Let k(i) = -5*i**2 + 4*i + 15. Give -6*f(x) - 13*k(x).\nAnswer: -x**2 + 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 45655 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 9*p**2 - 9*p - 8. Let m be k(-8). Let d(b) = -b**3 + 9*b**2 - 11*b + 10. Let i be d(7). Let j = i + m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1156, -457, 4, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3353743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + a + 65 = 5*v, a + 22 = 3*v. Suppose 4 = -5*p + 7*p. Solve p*b = -b - v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -226*i**2 + 7 - 8*i + 217*i**2 + 8*i. Let c(h) = 18*h**2 - 13. Give -11*b(r) - 6*c(r).\nAnswer: -9*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -253929, -253931, -253933, -253935?\nAnswer: -253937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 11:47 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**2 + 22*j - 16. Give l(7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 384, 381, 376, 369, 360, 349, 336?\n\"Answer: -d**2 + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -15, 2 in descending order.\nAnswer: 2, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3802 - -49?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = a - k + 4, 1 = 5*a - 3*k. Let p = a - -5. What is the second derivative of 7*n**4 - p*n - 7*n**3 + 7*n**3 wrt n?\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qmmb when four letters picked without replacement from {b: 5, m: 4, c: 3, q: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -17 (base 10) to base 5\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 3*z + 23, 2 = v - 5*z - 5. Let y be v\/(-12) - 244\/(-12). Suppose 0 = -q + y + 20. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3568582124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 49, 83, 95, 79, 29?\n\"Answer: -h**3 - 5*h**2 + 56*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(175) - (2*sqrt(175))**2)*-3 + sqrt(175))*5 + (1*sqrt(175) + -3 - (sqrt(175) - (1*sqrt(175) + -4))).\nAnswer: -45*sqrt(7) + 10489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -572926217 - -572926456.000309. Let i = -239 + y. What is i rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - 9 - -32 - (-5 + (-1068)\/(-138) - -7).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**6*w*w**(-7)*(w*(w*w*w\/(w\/w**(-1\/18)*w*w))\/w)\/w**(-22) assuming w is positive.\nAnswer: w**(395\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.72 - 0.52. What is the third smallest value in t, 5, -25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**2 - 1146*c - 2280 = 0.\nAnswer: -380, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from scsgfsscgssgcag.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + (-2)\/(-2 - -1). Suppose 2*v + 13 = g*n, -n - 4*n - 5*v + 55 = 0. Suppose 4*u = n*u - 9. Solve -z = -2*z + u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1  (b) -14  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 7, i: 1, h: 1, a: 2, f: 8}. What is prob of picking 1 i and 1 m?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (20*(-4)\/(-10))\/((-20)\/(-10)) - -12771. Is 12774 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23063058 to the power of 1\/2, to the nearest integer?\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-884)\/(-34) - (-131)\/(-5))*(-1)\/(-2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**2 + 11*x - 19. Let l be n(-7). Let r be 2 + (-3)\/l - (-27)\/2. Let u(k) = -8*k + 18*k - r*k. Let t(p) = -13*p. Calculate u(t(q)).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -44*o**3 - 777*o**2 - 3163*o + 840 = 0.\nAnswer: -120\/11, -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v - 2. Let x be b(6). Suppose -x = -2*u + 12. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of 3*o - 8\/3*o**3 - 7\/2*o**2 + 4 + 1\/4*o**4. What is the tens digit of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/6 and 59\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -38681 or -37646?\nAnswer: -37646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 562*v + 563. Determine c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + ((-162)\/(-243))\/(3\/63).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 1\/24, 255, 5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 116*r**2 + 80*r. Let d(a) = 462*a**2 + 319*a. Let j(p) = 3*d(p) - 11*s(p). Find the second derivative of j(u) wrt u.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w - 4*w - 74*w + w**2.\nAnswer: w**2 - 91*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33.2 + 48. Let m = -17 + h. Let f = m + 2.20000032. What is f rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 300 and 925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 5) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*4*(((sqrt(133) + (sqrt(133) + (sqrt(133) - (sqrt(133) + (sqrt(133) - 1*sqrt(133)) + sqrt(133))))*5)*-6)\/(-3*sqrt(84)\/sqrt(3)) + -4).\nAnswer: -20*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4233 (base 7) in base 15?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 6 = 3*k, 4*k + 914*j = 926*j - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13161603, -13161606, -13161609, -13161612, -13161615, -13161618?\nAnswer: -13161621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*d*k**3*r**2 + 4*d*k**2*p*r**2 + d*k**2*p + 29*d*k*p*r**2 - 36*k**3*p*r**2 - p wrt k?\nAnswer: 84*d*r**2 - 216*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 220 + -130. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n**5 - 4750*n**4 - 7*n**3 - 49201*n - 4?\nAnswer: 40*n**3 - 57000*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 24*g - 3120, -4*i + 3166 = 56*g - 55*g. What is the remainder when 1596 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 11:28 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 4*s - 23 = 0, -s + 2307 = -5*r + 2327 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + -1)*(-4 + 140\/63). Suppose -2\/3*m**3 - 4*m**2 - 8*m - o = 0. What is m?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 - 3a?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 4*r**3 - 2*r + 2*r**3 + 0*r**2 + 0*r**2 - 3*r**3 - 2*r**3 + 3*r**3 + (-4*r + 5*r - 2*r)*(3*r**2 - 2*r**2 + 0*r**2))*(3*r**2 - 5*r**2 + r**2).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/10)\/((-4)\/20*2). Suppose -2 + 12 = 2*z. Let a(u) = u - 5. Let q(t) = 3. Give w*a(d) + z*q(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.443532 hours?\nAnswer: 26.61192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 569.95 + -570. Put -5, n, 4 in ascending order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 38 = -7*b + 9*b, -5 = b. Let a be 82 + (0 - (1 - -1)). Let s be ((-18)\/15)\/(n\/a). Sort 5, s, -3 in decreasing order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -j**6\/10 - 27*j**5\/25 - 33*j**4\/10 - 6*j**3\/5 + 69*j**2\/10 + 9*j - 2697. Determine w so that f(w) = 0.\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, q: 1, c: 1, b: 1, h: 1}. What is prob of sequence qtc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -842 by 421.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) -8\/11  (c) -0.2  (d) -8  (e) 37\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 149084759 divided by -6\nAnswer: -149084759\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10649 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -k**7\/42 - k**6\/15 - k**5\/20 + 2*k - 2. Let f(r) be the first derivative of j(r). Factor f(n).\nAnswer: -n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**2 - 6647*j + 86242 = 0.\nAnswer: 13, 6634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - ((-2 - -2) + 33)*183\/549?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 32 = -5*u. Suppose 4*n + 14 = 5*x + 74, 0 = -x - 4. Let a = n + u. What is the remainder when 33 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of y**5\/10 + y**4\/4 + 5*y**3\/3 + 6*y**2. Let n(k) = -k**2 - k - 2. Determine 2*b(s) + 11*n(s).\nAnswer: s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -19. Let w = t - 5. Which is smaller: -1\/6 or w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 940607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -430341 - -2?\nAnswer: -430336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.5017 to one decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j + 3*j - 8*j + 10*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 0*t - t + t**2 + t**3. Calculate p(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 59*w - 61. Determine g(60).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r + 19*r + 12*r - 8*r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 4*t**2\/19 - 11106*t\/19 - 5554\/19 = 0.\nAnswer: -1\/2, 2777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 301.5569363 rounded to two dps?\nAnswer: 301.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12935*a**5 + 32521*a.\nAnswer: -258700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 473 + 184. Suppose 76*i = 82*i + 1680. Let j = i + k. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 720 = 138*v - 58*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 35*l**2. Let z(x) = -4285*x**2 + 2. What is z(r(d))?\nAnswer: -5249125*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -5294 and -3789 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 1414850\/527 and 2685 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000210717 to seven decimal places.\nAnswer: 0.0002107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (10 + 35 - 0) - 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 - (-1 + -2) - -6. Does 7 divide r\/6*84\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 = 2*j - 5*r + 72, -5*j = 3*r - 108. Solve -o = -1, -j = -4*g - 8*o + 7*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + b + 4 + (-11*b + b - 7*b)*(1384 - 352 - 431) to x*b + n and give x.\nAnswer: -10216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 + 28 = -2*q - 5*g, -g = -5*q + 38. Solve 4*z - 8 = 0, -17 = -3*b + 4*z - q*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25842627*n**2 - 33370578*n wrt n.\nAnswer: 51685254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -0.158  (c) 1  (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -560*c**3 - 119*c**2 - 119*c. Suppose -17390*t = -17380*t - 60. Let s(g) = 14*g**3 + 3*g**2 + 3*g. Give t*j(n) + 238*s(n).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (21\/(-14))\/(3\/(-194))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113415817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 105588, 211177, 316766, 422355, 527944?\n\"Answer: 105589*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*t*x**3 - t*x**2*y + 2*t*x**2 - t*y - 2*t - 3*x*y + 2*y wrt x?\nAnswer: -198*t*x - 2*t*y + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -9*t + 12. Let u(c) = -4*c + 6. Suppose -2*m = 4*a - 16, 3*a = -5*m + 3 + 23. Let p(i) = a*s(i) - 5*u(i). Determine p(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - l - l)*(16 + 22 + 25)*(-9 - 13 - 30).\nAnswer: 3276*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 - 7*r + 25. Let b be w(-10). Sort b, 5, 38, 25.\nAnswer: b, 5, 25, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 + 32*n - 37. Calculate g(-31).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b**4 - 16*b**2 - 112 wrt b?\nAnswer: -8*b**3 - 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/9 + 0. Let n be 5\/9 + 2\/(-6). Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 59 + -48256?\nAnswer: -48197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m**2 + 10*m + 15. Let o be k(4). Suppose z + 2*z = 72. Let y be z - (3 - 1) - 1. What is the greatest common divisor of y and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 87 and -2.5?\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3803, 3869, 3959, 4085, 4259, 4493, 4799, 5189?\n\"Answer: 2*k**3 + 52*k + 3749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-105)\/(-10) - 1\/2. Let o = -3 + 5. Suppose 0*t = -o*t + 140. Calculate the highest common factor of f and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*u + 4*s - 61, -2*u + 48 = 4*s. Suppose 13*d - 16*d = -u. Is 1338\/12 - 3\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eegeeteeeeeegeeeeege.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -125542*n + 125540*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 22, 21, 20, 19?\n\"Answer: -w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -32169, -32167, -32163, -32157, -32149?\n\"Answer: o**2 - o - 32169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 38 + 17. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -140*j - 471. What is d(-10)?\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(49\/7 - 21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 54 and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -7*u. Let g(o) = -61 + 5*o + 29 + 26. Give g(r(j)).\nAnswer: -35*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2 - 507582*t - 12180816.\nAnswer: -2*(t + 24)*(t + 253767)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) 0  (c) -7  (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -1 - 7*x - 1\/2*x**2. Give b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6240, 12545, 18850, 25155, 31460, 37765?\n\"Answer: 6305*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5*q - 12. Let n be o(-3). What is the second derivative of -12*y - 20*y**3 + 17*y**4 - y**4 + 20*y**n wrt y?\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2072368 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 - 2*q + 1. Suppose -29*f + 8 = -21*f. Let a(z) = 9*z**2 - 21. Let v(g) = f*a(g) + 6*b(g). Factor v(t).\nAnswer: 3*(t - 5)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + 13. Suppose -m - 5 = b*m. Let x be -1 + 2 - -1 - m. Solve x*u + 4 = 7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 144*j**2 - 7*j - 6. Let m be -3*-5*(-2)\/(-6) + -1. Let u be h(m). Is 6\/(-27) - (u\/(-9) + -1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-30)\/(-8) - (-74643742)\/1016.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 5:40 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 393112 or 393109?\nAnswer: 393109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.1  (b) 1\/4  (c) -7  (d) -0.5  (e) -0.8  (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2961, -2998, -2973, -2886, -2737?\nAnswer: -2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 17*m**2 - 17. Let n(g) = 205*g**2 - 205. Let d(y) = 25*c(y) - 2*n(y). What is the first derivative of d(s) wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -71*g**3 - 2*g**2 - 10*g**2 + 69*g**3 - 2 to the form q + u*g**2 + k*g**3 + a*g and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -2*d - 2*k, -2*d + 57*k - 54 = 41*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 3*k - 3*n - 1, 0 = 3*k - n - 5. Determine a so that -1 + 8*a + 2 + 2 - a**k + 8*a**2 + 2*a**3 = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(108) + 0) + sqrt(108) + sqrt(108) + (sqrt(108) - (0 + -1 + sqrt(108) + sqrt(108))) + (1 + sqrt(108) + 5 - (0 + -1*sqrt(108))))**2.\nAnswer: -84*sqrt(3) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9229 - 27*r**3 + 9229 - 101*r**2 wrt r.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 147.9, 5, -27, 202\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3 = -0. Calculate the remainder when ((-2)\/(-4))\/((-12)\/(-424))*3 is divided by q\/2 - (-81)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-3))\/((-14)\/(-105)). Sort f, -30, -1\/6, 0.1.\nAnswer: -30, -1\/6, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.4 + 2.1. Suppose -2*t = 13 + 11. Let v be (-2)\/t*3\/2. What is the second biggest value in 4, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.7, 5\/251, -0.3 in ascending order.\nAnswer: -0.3, 5\/251, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*i - 6*i. Let u be -4 + (-2)\/(-9) + 7\/i. Let c be 6 + (2 - 1) - u. Solve -c = 5*d - 5*z, 0 = 4*d - d - z + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -296 - 150 + 1592*f - 1593*f - 44.\nAnswer: -f - 490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3 - 1863*n**2 - 385641*n - 26609229.\nAnswer: -3*(n + 207)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 87 + -86. Which is smaller: x or -3\/82?\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -192107*m**5 + 968708*m.\nAnswer: -3842140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -97177, -194358, -291537, -388714, -485889?\n\"Answer: w**2 - 97184*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.136152 to three decimal places.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35595 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 185 = 5*m + 160. Suppose 0 = 4*u - 5*t - 72, m*t = -u + 6*t + 18. Solve 5*s + 3 = u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhi when three letters picked without replacement from hjhhijhhhihh.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-11 - (-32 - -14)) + (-2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (186\/(-1240))\/((-4401)\/360)\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 221422 - -4131?\nAnswer: 231103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4 = -3*n, -80 = 5*h + 7*n - 2*n. Is (2\/(-4))\/(h\/(-478038)*-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1378ba - 4?\nAnswer: 1378b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 5*v + 1. Let x be s(4). Suppose 4*p + 48 = 4*i, -4*p = -3*i + 41 + 10. Let o be (50\/p)\/(2\/x). Solve 2*n + l + o = n, -2*l + 4 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -106?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -2, -7, 3.\nAnswer: -7, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.019 + -0.481. Let u = -29 - -31. What is the second smallest value in u, -1, l, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 - 39. Let p be r + 0 - (5 + -11). Sort -10, -1, 5, p.\nAnswer: -10, -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11803, -23615, -35427, -47239, -59051?\nAnswer: -70863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0595, -2\/69, -221.\nAnswer: -221, -2\/69, 0.0595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + 0.2. Let g = o - 0.4. Which is the nearest to 1\/4?  (a) g  (b) 5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 14. Let q = t + 8. What is the second biggest value in -0.3, 5\/2, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -69  (b) 0.4  (c) -8  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 5*a**2 - 91*a - 74. Give y(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000998421 rounded to 7 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*j - 105*j - 309*j - 206*j - 275*j to p + t*j and give t.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 19.31 - -35128\nAnswer: 35147.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k**4 - 561*k**3 + 94173*k**2 - 4120207*k + 4026594 = 0. What is k?\nAnswer: 1, 66, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*o - x = -61*o - 148, 3*o = -3*x + 120. Calculate the remainder when 131 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(70) - (sqrt(70) - 1*sqrt(70))*3 - (sqrt(70) - (2*sqrt(70) + sqrt(70))*3))\/((2*sqrt(4050))\/(sqrt(320) + 1*sqrt(320))))**2.\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/9 and 13 - (191774\/1335)\/11.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/558 and -65\/1218052?\nAnswer: 10962468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*((-14)\/(-4) + -2). Suppose 0*x + m = x. Solve -l + x*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 20  (b) -0.1  (c) -525\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -23 + -28 + 146 + -118?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -5*f, -f = -3*s + 3*f - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14807 divided by 45.\nAnswer: -14807\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32.9 + -33. Which is the nearest to q?  (a) 2\/7  (b) 1\/4  (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, l: 2, r: 10, x: 1}. Give prob of sequence rrr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41 + -39. Let r be 8\/2 - (-8)\/o. Are r and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 53*b + 55*b - 1 = 0, 13 = -5*p + 4*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 812 divide 144522027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -263 + 562. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 2*b + 2. Let y be o(3). Let l(r) = -14*r. Let d be l(y). Let x = d - -4. Solve 4*j - 6 = 2, -4*j + x = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122 = r - 3*o, 5*r = 3*r + 2*o + 232. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 360 divide 633240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 927966746 divided by -5?\nAnswer: -927966746\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 9:31 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 611*x**2 + 195*x. Let c(a) = a**2 + 8*a. Let t(j) = 11*c(j) - z(j). Find the second derivative of t(o) wrt o.\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1225 - 5179 = -276*s + 2394 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 6*i - 109. Calculate the common denominator of (-3 + 137\/i)\/2 and 35\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -655, -663, -667, -661, -639, -595, -523?\n\"Answer: c**3 - 4*c**2 - 3*c - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 l, and 2 y when four letters picked without replacement from {l: 2, y: 4, b: 4, h: 4, x: 2, n: 4}?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2994 + 2994 - 91*f)*(-f + 0*f + 0*f) + (3 - 3 - 2*f**2)*(1 + 1 - 1) as v*f + s*f**2 + k and give s.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4 + 1*-1 - (-1800)\/(-420) and 121\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 214122 - -1?\nAnswer: 214123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2604822 or 2604823?\nAnswer: 2604822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*v + 16*v - 20*v + 13*v.\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 18\/(-45) + 72\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 518927*n**2 - 255721?\nAnswer: 1037854*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -102000 < 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 89536839.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*r**2*s - 2960*r**2*w**3 + 221*r**2*w**2 + 638*s**2*w**3 - 47*s**2*w**2 - 3*s - 4*w**2 wrt w.\nAnswer: -17760*r**2 + 3828*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d + 2. Let i(t) = -1 - 3*t + 14 - 6. Let w(h) = h**3 - 2*h**2 - 4*h + 2. Let s be w(-5). Let c be s\/21 - (-6)\/21. What is c*p(o) + 2*i(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3113, -6207, -9301?\n\"Answer: -3094*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 392*w = -499 - 5773 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((8\/(-12))\/1)\/(2\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54 - 176. Let o = c + 131. Solve -4*x - o + 17 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-185 - -76) + 1 + -17?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 10:15 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**2\/5 + 822311056*v\/5 - 84524434102479392\/5 = 0. Calculate v.\nAnswer: 205577764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-92)\/(-20) + -4 - (-42)\/(-70). Find b such that -4*b**2 + t + 6*b + 2\/3*b**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1453 and -1?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 19\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2646495099.\nAnswer: 3, 32672779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -223790 rounded to the nearest one thousand?\nAnswer: -224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0010119737724 to 5 decimal places.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 269, -4, 2, 53, 0.1, 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g = -23*g - 5*d - 7, 0 = -3*g - 3*d - 9. Which is greater: 1\/386 or g?\nAnswer: 1\/386","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 22*b**2 - 36*b + 10. What is the tens digit of l(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260637.\nAnswer: 3, 13, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 + -1)*(-7 - (-21768)\/16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 6*t**2 - 7*t + 2. Let d be c(7). Solve -j - d*x = 8, -2*j - x = -5*x - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (224\/(-280))\/(-7*2\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.58, 1\/20707, -8.3?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 32 - 48. Let l be (14 - 14) + (b + 0)*-1. Suppose 2*n - 400 = -4*h + 2*h, h = l. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y + 3*y - 9 + 0*y - y.\nAnswer: -2*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -68952\/20045 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 89*h**7\/105 - 43*h**5\/10 + 59*h**2 + h. Find the third derivative of v(o) wrt o.\nAnswer: 4272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1113.9391 - -1114. Which is bigger: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.15 - -3016.\nAnswer: 3015.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*w = -0*w + 18, 5*n - 17 = 3*w. Solve 2*r + 3*z = 10 - n, -5*r - 2*z = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5899, 6138, 6787, 8050, 10131?\n\"Answer: 34*c**3 + c**2 - 2*c + 5866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 260, 270, 270, 254, 216?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5\/(-2) - -3)*34. Find the second derivative of -p*t**4 - 93*t + 75*t - 15*t**4 wrt t.\nAnswer: -384*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-257 + 257 - 33*p)*(-p - 3*p + 3*p) + 4*p**2 - p**2 + p**2 in the form x + n*p**2 + s*p and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 518771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i - 28 = 257 - 105 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -344.0000161 - -344. What is z rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1059\/7 + 151. Let j(p) = p**3 - 15*p**2 + 11*p + 39. Let y be j(14). Which is the closest to 4?  (a) y  (b) 3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -53310 - -311?\nAnswer: -52555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 15 = -2*z + 2*n, -z = -n + 5. Does 16 divide (32\/z)\/((-5)\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113695627067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.30138 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6175 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.392 + -3.978. Are u and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -0.2854  (b) -3\/2  (c) -0.5  (d) 4  (e) -166  (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of 2*v**2 + 27*v + 1562. What is b(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 20 and -372225?\nAnswer: -7444500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 10*r**2 + 4*r - 12. Calculate s(11).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, m: 2, i: 1, h: 5}. What is prob of sequence icm?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -62254620 (base 7) in base 3?\nAnswer: -100211101210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/8 - 1150\/1224. Let q = o - -24\/17. Let x = -4 + -1. What is the third biggest value in x, q, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*v**2*w**2 - 16*v**2*w + 9943*v**2 + 9*v*w**2 - v*w + v - 9682*w**2 wrt w.\nAnswer: 4*v**2 + 18*v - 19364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 305 and 2022.\nAnswer: 616710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l - 11*l - 145 = -r, 3*l = -r + 435. List the prime factors of l.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 76\/13?\nAnswer: 76\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53652 is divided by 1676.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4995\/(-54)*4\/(-10). Let a = -9 + x. Let t = -28 + a. Solve -10 = -2*p - t*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 9:44 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1618*l**4 - 12238*l**3 + 82038397*l**2?\nAnswer: -38832*l - 73428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -92, -185, -306?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**5 + 48*d**4 - 224*d**3 + 512*d**2 - 576*d + 256.\nAnswer: -4*(d - 4)*(d - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 4*m - 13, -5*m = -84*l + 86*l - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -3. Suppose -b*q - k + 4 = -0*k, 0 = 3*q - 4*k - 6. What is the third derivative of 3*c**2 - 2*c**6 - q*c**2 + 0*c**6 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-17) - (-22605)\/6545 - 3\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/15 + 32929\/85. Let u = t - 387. Find a, given that -u - 2\/5*a + 2\/5*a**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 129*i + 100. Is k(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + b - 75. Let h be r(0). Let n = 109 + h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -65, 197 in decreasing order.\nAnswer: 197, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -6189299 and 20725?\nAnswer: 6210024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -6849.4?\nAnswer: 13698.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (15\/6 - 3)\/((-1)\/28). Does 36 divide 9 - w - (-148 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 5*d - 52902, 100*d = 105*d + 30. List the prime factors of z.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.026965 rounded to 4 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 15*w + 121269 = 11*w, -2*q + 48502 = 4*w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -222 - -21?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 10*s**2 + 21*s + 45. Let j be g(-10). Suppose -35*q - j = -36*q. What are the prime factors of q?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**2\/4 - 745499*g\/4 + 186375 = 0. What is g?\nAnswer: -745500, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 9*b - 102. Calculate g(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18412*i + 6 - 18563*i + 37165*i)*(-3*i + 6*i - i) in the form v + y*i**2 + j*i and give y.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 j, and 2 z when four letters picked without replacement from vvvvvzvprrvrvvjvjzr.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/11, 1\/6, 4\/13, 4.6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 570, 850, 1332, 2016, 2902, 3990?\n\"Answer: 101*f**2 - 23*f + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zhmsfyhf. Give prob of picking 1 f and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -530, -535, -542, -551?\n\"Answer: -r**2 - 2*r - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-4))**(1\/79))**(-2\/69) assuming r is positive.\nAnswer: r**(8\/5451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 4\/(-6) + 38\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2 + j - 6*j - j. Let r(s) = -28*s**2 - 5. Let y(k) = 39*k**2 + 7. Let a(c) = 7*r(c) + 5*y(c). Determine p(a(o)).\nAnswer: 6*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**3\/13 + 242*c**2\/13 + 71440*c\/13 + 242592 = 0.\nAnswer: -76, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**3 + 56*j**2 + 21*j - 44. Let x be h(28). What is the greatest common factor of 748 and x?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -3, 0.2033, 5\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 657121271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000005385 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 5*a**2 + 33*a + 63. Calculate o(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2832 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -28, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 - 8*h. Let f be l(-8). Suppose -4*d - 2*d = f. Suppose -714 = -6*c - d*c. List the prime factors of c.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*z - 2*z - 3*z + 8*z to the form m*z + t and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 21*x**2 + 21*x - 274. Let v(i) = 2*i**2 + 2*i. Let q(y) = -u(y) + 6*v(y). Differentiate q(n) with respect to n.\nAnswer: -18*n - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15369 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5\/5)\/((-1)\/(-3)). Let u be (3 - 0) + f - -1. Solve -5*k - 35 = -5*o, 3*o - 31 = 4*k - u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4\/7 + 66*v**3\/7 + 1397*v**2\/7 + 1404*v + 14580\/7.\nAnswer: (v + 2)*(v + 10)*(v + 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*i - 128 - 119 = -113*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {m: 1, l: 11, y: 1}.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r. Let w(x) = -x. Let q(c) = s(c) + 4*w(c). Let l(a) be the first derivative of 7*a**2\/2 + 21607. Calculate 5*l(h) + 14*q(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 12*g + 44. Let n be y(6). Solve -n = -2*r - 4*a, 0*r - 18 = 3*r - 4*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(110) - (sqrt(110) - 1*sqrt(110)))*6)\/(-1*sqrt(360)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -31 + 279?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2610\/3915)\/((-1)\/(-39))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5\/4 - 7*t**4\/4 + 13*t**3\/4 - t**2\/4 - 7*t\/2 + 2 = 0. Calculate t.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113 = -12*b + 101 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from lruluuurlrrmxruxxlx?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 4 = -v. Suppose -n + 5*a - 2*a = 13, -a + 15 = v*n. Suppose n*o + u + 0*u = 27, -57 = -4*o - 3*u. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.6 in -2848, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.1, -3, -3.44, -20, 3\/5, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -6. Suppose 2*z + 3*z = -5*h - 20, -m*z - 2*h - 8 = 0. Solve x - 4*c - 7 = z, -4*x + c - 12 = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000272244 to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - -8. Suppose -2*i = 2*b - 132, 5*i + 309 - 111 = 3*b. What is the remainder when b is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-137)\/(-5))\/(-4 + (-105)\/(-25)) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -367a - 0?\nAnswer: -367a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -308b5 + -1?\nAnswer: -308b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 114 - 7. Let y(v) = 88*v + 20. Let h be y(2). Let k = h - p. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l**2 + 4*l**3 + 0*l**3 + 6*l**2.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 60 * -8.4647.\nAnswer: -507.882","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -44. Let g = 12.3 + s. What is the third smallest value in -1, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195*x + 210 = -181*x. Solve -11 = u - x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 2*z - 4. Suppose 0 = d - 2 + 7. Let p(g) = g**2 + 3*g - 5. Let r(v) = 2*v**3 + 15*v**2 + 4*v - 17. Let i be r(-7). Calculate d*x(l) + i*p(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/31549 and 4\/1248439.\nAnswer: 8739073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.23 + -18.77. Let n = a - -19. Let b = 14.5 - 15. Put b, n, -0.2 in decreasing order.\nAnswer: n, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 1\/39, 5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - 237?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76162 is divided by 1173?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/487?  (a) -5  (b) 2  (c) -2  (d) -0.08  (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - -0.62?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + -301?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(-2))\/(9\/(-24)). Suppose u - 3*p = 3 - 17, -4*u + a*p = 16. Let d = 1465\/11 - 133. Is d at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 - 5*u**2 - 6. Let c(o) = -16*o**3 + o. Let b be c(-1). Suppose -b = -5*v + 10. Give k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.385243 - 0.385. Round y to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15b859 (base 14) to base 6\nAnswer: -24154315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 15825, 15822, 15817, 15810, 15801?\n\"Answer: -w**2 + 15826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 48*l**2 + 0*l**3 + 0*l + 0 - 11\/12*l**5 + 9\/40*l**6 + 0*l**4. Find the third derivative of b(f) wrt f.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 292836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 486300?\nAnswer: 2, 3, 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 231, -4923, 5, -3 in increasing order.\nAnswer: -4923, -3, -2, 5, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 443*l + 8134. What is c(-23)?\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 102?  (a) 3\/5  (b) 4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55 + -96. Let t(s) = 4*s + 9. Let w be t(-9). Let q = w - p. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285976738?\nAnswer: 2, 5903, 24223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 - 17*u + 16. Let a be c(16). Suppose a = -k + 6*k - 710. What are the prime factors of (k - (5 + -2 + 0))*1?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67 + -9 + 87 + 8\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2584\/30 - 2\/(-135)*-9 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/7 + 908*k\/7 - 160480\/7.\nAnswer: 2*(k - 136)*(k + 590)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/7340450 and -119\/40?\nAnswer: 29361800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of l**5\/60 - l**4\/8 + l**3\/3 + 3*l**2. Let c(y) = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5, -26, -61, -110, -173?\n\"Answer: -7*u**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p**3 + 2*p**3 - 772*p**2 + 354*p**2 + 418*p**2.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 301, 3, -175, 5, 1 in decreasing order.\nAnswer: 301, 5, 3, 1, -7, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 181*t - 5041. What is q(28)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 54732416.9326799 minus 0.3?\nAnswer: 54732416.6326799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wrhv when four letters picked without replacement from {v: 5, r: 4, w: 3, h: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hpyy when four letters picked without replacement from {p: 2, y: 2, h: 3, l: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vdvgbvgllnglvlgnvvd. Give prob of picking 2 g and 1 n.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 2  (c) -3155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2851 = 5*g + 2*l + 2751, -5*g + l + 100 = 0 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 63*a**2 - a - 160 wrt a.\nAnswer: 126*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 + 5*h + 45 - 70.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2657181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3669294.718 rounded to the nearest 10000?\nAnswer: 3670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 26\/3, 3, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 12) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4124 = 154*z - 650 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-5 + (-2 + -2*(0 + -2 + (sqrt(125) + 0 - sqrt(125)) + 3))**2)*6.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*i + 3*n = 84*i - 3, -323*i + 5*n = 4208 - 357 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 31*x**3 - 2*x**2 + 4*x + 2. Let b(h) = -2*h**3 - h**2 + h + 1. Give 4*b(d) - u(d).\nAnswer: -39*d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -12*p + 5478. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tnfp when four letters picked without replacement from {f: 3, n: 1, l: 3, p: 1, m: 2, t: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p**2 + 49*p - 19. What is h(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 393245267.\nAnswer: 393245267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4714, -14751, -31478, -54895?\nAnswer: -85002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*n - 26*n - 30 = 0. Solve 0 = -5*g - n*k - 11 - 4, -3*k = g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -164 - -210. Let z = 598332506 + -598332551.9999861. Let g = z + n. What is g rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1058 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30952 - 2*k + 30952.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**8\/1176 + 239*h**7\/735 - 19651*h**6\/420 + 17215*h**5\/6 - 140602*h**4\/3 + 1043504*h**3\/3 - 290*h**2 + 1. Factor a(f).\nAnswer: -2*(f - 77)**3*(f - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4771871553 + -4771871530.00000221. Let u = 22.64 - -0.36. Let d = l - u. What is d rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(400)\/(sqrt(40)\/sqrt(4)))\/(sqrt(8)*1*-5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 756*o + 760*o = -23346, 3*y - 14040 = -3*o. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 9165  (b) -3\/2  (c) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -12*(-3 - (-11)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -237304\/45 + 5274. Let s = -1\/45 - r. Let q = -0.6 - -0.2. Which is the biggest value?  (a) q  (b) s  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*2\/(54\/(-4)*2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245) + 0 - (2*sqrt(125) + sqrt(125) - sqrt(125)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35944, -35945, -35946, -35947, -35948?\nAnswer: -35949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, c: 2, l: 1, r: 2, b: 2}. Give prob of picking 1 l, 2 c, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -460*n**3*y**2 - 4*n**3 + 16*n**2*y wrt y.\nAnswer: -920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -275.769 + 274.2. Let r = t + 1.36. Which is the third smallest value?  (a) -1  (b) -1\/2  (c) 3  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 425\/(-5)*(-5 - -7). Let v = k + 220. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252 = 40956*c - 40998*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 2 q, and 1 k when four letters picked without replacement from {e: 1, c: 3, k: 1, f: 1, q: 2, b: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 111383252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 7*p - 30. Solve 3*y - 5*y - p = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.15 - 4.15. Let w = 952\/6915 + -2\/461. Sort h, 10, w, 0.5 in descending order.\nAnswer: 10, 0.5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6664 - -6678. Which is smaller: m or 27?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -2  (b) 2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (168\/420)\/(1\/35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002783 rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -4\/3*q**3 + 3 + 0*q**4 + 0*q**2 + 0*q - 13\/5*q**5. Find the third derivative of j(u) wrt u.\nAnswer: -312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 417, 747, 1077?\n\"Answer: 330*m + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g**3\/3 - 75*g**2 - 2290*g\/3 + 840 = 0. Calculate g.\nAnswer: -28, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1.7  (b) -5  (c) -0.682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 67 - 63. Sort 2, a, -6, 3.\nAnswer: -6, 2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 14252  (b) 1  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (-2 - -10))*-85*67\/2278.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - p + 2*l + 7 = 0, p + 2*l - 3 = 0. Suppose 0 = -5*u + 10 + p. Find r, given that 2*r - 2\/7 - 8\/7*r**4 + 26\/7*r**u - 30\/7*r**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t**2 - 207*t - 6101. What is w(-19)?\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.479 * -3.\nAnswer: -10.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 + 102*x - 1885. What is t(78)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24306 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/(z**(-1\/11)\/z))\/z)\/z)\/(z\/z**(2\/11)*z)*z**(-11)\/z**(2\/5))**(-17\/6) assuming z is positive.\nAnswer: z**(6137\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33*6\/(-36)*(-103584)\/6864.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**3 - 87*y**2 + 126*y + 24. Calculate w(42).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -19*-277.2\nAnswer: 5266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -810*l**3 + 1974744*l**2 - 1205950720*l + 2882918400 = 0. What is l?\nAnswer: 12\/5, 10960\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/(-33)*(-35024)\/(-4776). Determine g so that -75\/4*g**3 + 13*g**y + 7\/2*g**2 + 0 + 9\/4*g**5 + 0*g = 0.\nAnswer: -7, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9.1 - -9. What is the smallest value in -2\/9, 0, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.93*1.27.\nAnswer: -2.4511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9056 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/3)\/((-4)\/6)*94848\/832.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i**3 + 8*i**3 - 18*i**3 + 5*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 465*t**2. Let i(b) = -b**2. What is 372*i(x) + j(x)?\nAnswer: 93*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 115 + -166. Let n = -560355 - -560406.0021. Let d = n + w. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-26))\/(2\/(-8)). Let p be (6\/15)\/(1\/10). What is the third biggest value in p, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + 7*x - 5. Let k be n(-6). Let d = -9 - k. Suppose -16 = -d*s + 20. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -4*m - 9. Let n be 10\/4*(-4)\/m. Let u be ((-6)\/(-4))\/(2\/4). Solve n*h + 7 + 5 = 4*k, -u*k - 3*h = -27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -174, -346, -514, -678, -838, -994?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from idytd. What is prob of picking 1 y and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**2 + 3*c - 3. Let n(p) = p**3 + 3*p**2 - 15*p - 37. Let l be n(-2). Give f(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 773*z - 1003682 + 1018369 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, -4, -3, -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w - 15 = 3*t + 19*w, 5*w = 4*t + 18. Sort 0, -0.05, 0.02, t in increasing order.\nAnswer: -0.05, 0, 0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 2, 0, 0.4, 1.2, 3.2 in decreasing order.\nAnswer: 27, 3.2, 2, 1.2, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4300\/(-810) - -12 - 420\/63.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-1) + -1 + -19. Let j = h - 2. Let w = 33 + j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9409 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 171485065 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 492 divide 1544388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2318.1 and -749?\nAnswer: 3067.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -141 - -179. Is u at most 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1.6, -1\/2, 11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -704 - -706. Is 524*(14 - v) + (-10)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3*(-1)\/36)\/((-3)\/6). Let r be 33\/22*(-4)\/(-6). Which is the nearest to r?  (a) 8  (b) 2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s**3 - 10*s**2 - 4*s. Let q(l) = -l**3 + 7*l**2 - l + 4. Let a be q(6). Let n = a - 41. Let c(d) = -2*d**3 + 7*d**2 + 3*d. Give n*c(f) - 5*t(f).\nAnswer: -f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20\/39 - -461\/975. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1062*k - 5620 - 14558 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence imr when three letters picked without replacement from ucmscsmuumicr.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16020, 16888, 17756, 18624, 19492?\nAnswer: 20360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/49  (b) 1\/5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-35)\/(-6))\/(-7)*-15*18\/45. Let l(y) = -62*y - 28. Let w(t) = 21*t + 9. Let m(j) = 2*l(j) + 7*w(j). List the prime factors of m(f).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.84, -27, -3, 0, -2\/3, -19, 1?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 176531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -81*z + 155. Let t(d) = -6*d**3 - 4*d**2 + 2*d - 2. Let y(l) = -7*l**3 - 3*l**2 + 3*l - 3. What is z*y(r) - 3*t(r)?\nAnswer: 4*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - s - 3)*(-4 + 3 - 1) - 56*s + 105*s - 60*s + s - s - s)*(0*s - 3*s + s**2 - 4 + 0*s) to the form k*s + o + m*s**2 + r*s**3 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + x = -15, 1998*d + 2*x = 2003*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**13*r*(r\/(r**(-10)\/r))\/r)\/((r*r*r**0*r)\/r*r)**(-32))**1)**(4\/5) assuming r is positive.\nAnswer: r**(488\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2 - 11*w - 3. Suppose 12*o = 12 - 72. Let s be b(o). Let u(v) = -6*v - 2 - 1 - 1 - v**s. Determine u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 604 (base 9) to base 8\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 4*c - 1 - 4, 2*y + 5*c + 35 = 0. Let m be (1\/(y\/(-6)))\/((-45)\/(-150)). Solve -m*i - 5 = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 14244?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -t**9\/1512 + t**6\/120 - t**3\/2 - t. Let s(m) be the second derivative of w(m). Find the third derivative of s(z) wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -824, -706, 354, 2356, 5300, 9186, 14014?\nAnswer: 19784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*v + 49*v + 4368 - 720 = 0 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 10:59 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fwsdv. What is prob of sequence fvds?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from eeeeueeeu.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27*q + q**3 + 2220*q**2 - 7*q - 2235*q**2.\nAnswer: q*(q - 17)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2\/6)\/((-4)\/(-6)))\/((-87)\/(-3306))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -134 - 3?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 5 = -3*k. Suppose -4182 - 2631 = -441*b + 684. Suppose -2*n = -n + 3. Sort b, k, n, 2.\nAnswer: n, 2, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -186845*-90\nAnswer: 16816050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -208.1593318 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 408751*c**5\/10 + 5*c**4\/12 + c**3\/3 + 23*c. Let x be z(-2). Round x to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3141 or -3\/8?\nAnswer: -3141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 4*s + 5. Let v be t(3). Suppose p = -v*p + 33. What is the tens digit of -72*((-22)\/p - 1\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -217  (b) 3  (c) 4  (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/6  (b) 4\/5  (c) -2\/13  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 98\/255 and -119\/6.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + 1459197042?\nAnswer: 1459197041.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091 a factor of 3949307001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -42bf (base 16) in base 15?\nAnswer: -50e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 4*a**2 - 5*a + 4. Let c be k(-5). Let m = 1 + c. Put 3, m, -4 in decreasing order.\nAnswer: m, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of 0*m**5 + 0*m**4 + 0 + 0*m + 5*m**2 + 1\/30*m**6 + 5\/6*m**3. What is the first derivative of q(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 722 divided by 361.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 8  (b) -3\/2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 5*v + 26 - 57 + 47. Let m be h(-5). Let n be ((-36)\/16)\/(m\/(-3)). Which is the third biggest value?  (a) n  (b) 4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -989.\nAnswer: -5\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 5*h - 8 = 0, -c + 3*h + 3 + 13 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 + 3)\/((28\/257)\/(-4)). What is the smallest value in 1\/5, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1222101120202 (base 3) to base 2.\nAnswer: 100000000100100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3790, -4368, -5952, -9046, -14154?\n\"Answer: -84*g**3 + g**2 + 7*g - 3714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/81  (b) 5  (c) 4  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/2)*u**(-2\/9)*u**(-2\/7)\/u**(-3\/2) assuming u is positive.\nAnswer: u**(94\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -1, 0.4, -60, 0.035?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*x**3 + 85*x**3 - 197*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1098, 1166, 1286, 1464, 1706, 2018, 2406?\n\"Answer: l**3 + 20*l**2 + l + 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -15, 1124, -228 in ascending order.\nAnswer: -228, -15, -3, 1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*w**5 - 10115*w**4 - 3370*w**3.\nAnswer: -5*w**3*(w + 674)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -613566, -2454197, -5521892, -9816651, -15338474, -22087361, -30063312?\nAnswer: -39266327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 w when three letters picked without replacement from {w: 3, z: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrryyr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0137304029 rounded to 5 decimal places?\nAnswer: 0.01373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1329649 by -10.\nAnswer: -1329649\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80 + 511 + 427 - 159 - 74*p.\nAnswer: -74*p + 699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of 95443993*n**5\/80 + 626547*n**4\/4 + 8226*n**3 + 216*n**2 + 9946*n. Factor b(h).\nAnswer: (457*h + 12)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -14*j + 21*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, x: 3, p: 1, d: 5}. Give prob of picking 2 x and 1 d.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -173*o**2 + 2. Let j(n) be the first derivative of -5*n**2 + 642. Give s(j(r)).\nAnswer: -17300*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14 + 42 + 4)*(-4*j**4 + 2*j**4 + j**4) in the form z*j**4 + d*j + t + l*j**3 + k*j**2 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.9218l in millilitres?\nAnswer: 72921.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.649 - 7.449. Put 0, -2\/11, -9, 1, g in descending order.\nAnswer: 1, g, 0, -2\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from esniskisksknvsiss. What is prob of picking 2 s?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -2*j - 0*j + 41, -5*j - 5*b + 140 = 0. Let i = 12430 - 12276. Let y = j + i. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163501 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {x: 8, m: 2, h: 4, q: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + 1274a?\nAnswer: 12741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 97586 and 117941?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -39  (b) 87  (c) 0  (d) -1\/6  (e) -3  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -47*p**6 + 2*p**2 + 111*p.\nAnswer: -5640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 22*z - 52. Let p be y(19). Let d be -2 - (p - 4)*-4. Solve -2*j = 3*j - 5*x - 45, -22 = -d*j + 3*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = f - 27, 183 = 4*f + f + 4*r. Suppose -3*k = -6*k + f. Calculate the least common multiple of 16 and (k - (-3 - -1)) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 160 and 29080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 4)*(-14*q - 95*q - 149*q) + (-1 - 2 + 2)*(2 - 2 - 2*q) + 0 + q + 0.\nAnswer: 519*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 4*q - 3*h - 285, 0 = q + 2*h + 100. Let m = q - -90. Solve m = -6*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3840 + -3771. Solve 0 = -6*t - 45 + r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -17. Let k be (6\/9)\/((-2)\/n). Let f be k - (0 - 2)*35. Calculate the greatest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/9 in 4, 5, -1\/275?\nAnswer: -1\/275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 20, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(396) + sqrt(396)*-2) - (3 + sqrt(396)*-2)) + ((sqrt(396) - (sqrt(396) + 1))*5)**2 + 3.\nAnswer: -24*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 20 = 3*d. Let m(s) = s**2 - 22*s - 16. Let z = 60 - 37. What is the least common multiple of d and m(z)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362316286 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9170161 and 247.\nAnswer: 174233059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 w, and 2 j when four letters picked without replacement from {w: 6, j: 4, m: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/2 - 408*q**2 - 9819*q\/8 - 7371\/8.\nAnswer: (q - 819)*(2*q + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39097\/1209 + 2\/403. Let t = u + 33. What is the nearest to 1 in 4, t, 1\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a\/((a*a*a**34\/a*a)\/a)))*a**(-7\/4))\/(a\/a**(-9)*a)**(12\/13) assuming a is positive.\nAnswer: a**(-2387\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-2\/5))**(-6\/29)*z**(-8)*z**(2\/3)\/z)**(-9\/4) assuming z is positive.\nAnswer: z**(11253\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00998299 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence srvr when four letters picked without replacement from {r: 2, v: 2, n: 6, w: 1, s: 4}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - -1)\/4 + 3. Suppose 4*o - 268 = 3*m, v*o - 2*m - 120 = 152. Let r = 109 - o. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 42821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 + -20. Let c be ((-9)\/m)\/(2\/(-10)). Let u = 15 - c. Let q(l) = -l**2 + 6*l + 5. Give q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 16. Let k be (0 - 2) + -2 + 6. Suppose -7*d + k*d - 94 = -2*s, 16 = u*d. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*w - 5*n - 25 = 76*w, -w - 5*n = 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*r**3 + 3 - 2*r**2 - 1 + 23745*r - 23785*r wrt r?\nAnswer: 72*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*633\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -31*a**5*f + 3*a**3*f**3 - 2*a**2 + f**3 - 8 wrt a?\nAnswer: -1860*a**2*f + 18*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -890529920 divided by -222632480\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.99626 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m + 1611 = -1904. Let b be (-10 - m\/20)*(-16)\/74. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**3 + 4*z - 3. Let i(u) = 1 - u**3 + 0 - 3*u + 1 + 0*u. Suppose 0*l + 3*l + 6 = 0. Let q be (6\/(-8))\/(6\/24). Calculate l*s(j) + q*i(j).\nAnswer: -j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.048 + -2634104.2062.\nAnswer: -2634104.1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 174 and 14?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 4*z. Is 1\/20 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4316701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 103 - (-6 - -3) - 1. Let s = 130 + l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 - 13*p + 21. Suppose 0 = -3*d - 0*r - 2*r + 71, 0 = -d - r + 25. What are the prime factors of l(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 225, 445, 665, 885, 1105, 1325?\n\"Answer: 220*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-21)*(-406)\/522*-3*-144.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 3*w = 24, -299*q = -302*q - 4*w + 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 90 = -34*i + 30*i, 0 = -3*i + 4*g + 40. What is the greatest common divisor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*g**3\/3 + 240221*g**2\/3 - 1442665232*g\/3 + 144264121\/3 = 0. Calculate g.\nAnswer: 1\/10, 12011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-7)\/3)\/((-5)\/345). Let f be (-4)\/3 - 219\/(-9). Calculate the greatest common factor of f and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of 0 + o**2 + 0*o - 7\/60*o**5 + 2\/3*o**3 + 0*o**4 - 1\/120*o**6. Let i be n(-7). Solve i*x + 4 = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -3. Suppose -7 = -4*h - 3. Let r be (1\/h - 0)*m. Solve r = -5*s - 4, -5*s - 25 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -185, -15\/7391 in increasing order.\nAnswer: -185, -3, -15\/7391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -929*k*w - 295*k + 47235149*w wrt k.\nAnswer: -929*w - 295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 28*u - 185. Let d be t(7). Let a(l) = -l**3 + 8*l**2 - l - 2. Let q(h) = 5*h**3 - 40*h**2 + 5*h + 11. Let g(v) = d*a(v) + 2*q(v). Give g(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9474990 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*m, -3*m + 2 = 69*u - 64*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 85977037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 311830199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 306131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 19392.39ug?\nAnswer: 19392390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4477667375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-357)\/(-85) - (-2 + (-48)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 6*y**3 - 2*y**2 + y + 1. Let r(q) = -q**3 - q**2. What is f(p) - 2*r(p)?\nAnswer: 8*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 726240161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3238.6002 * 0.06.\nAnswer: -194.316012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9755455*j**3 - 10829*j**2 + 36*j wrt j?\nAnswer: -58532730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 8) + -18 + 5 - (1 + 4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1365\/350*((-2640)\/(-11))\/24?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15873, -15865, -15855, -15843?\nAnswer: -15829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**4 + 0*u**4 - 7*u**4)*(2 - 3 + u + 0).\nAnswer: -8*u**5 + 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.02 and -308312.1?\nAnswer: 308312.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -233 divided by -6\nAnswer: 233\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 34 + 256746?\nAnswer: 256781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 330\/70 - (-4)\/14. Solve 23 + w = 7*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*s**6 - 9*s**5 - 9*s**3 + 14*s**2 + 7*s - 246 wrt s?\nAnswer: 1080*s**3 - 540*s**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14 - 371\/(-28)) + (-83)\/(-4). Solve d*m - 13*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + -4 - (-11 + 8). Let l(c) be the first derivative of -c**4\/4 + c**3\/3 + 9. Calculate l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295917?\nAnswer: 3, 98639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -1300*y**5 - 87780*y**4 - 1460732*y**3 + 710468*y**2 - 106080*y + 4624 = 0.\nAnswer: -34, 1\/13, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -625 + 1432 = -34*k - 2525 for k.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 16*w**2 + 35*w + 13. Let q be h(18). Let g be q\/3*243\/(-135). Solve -3*p + 11 + 1 = -s, -2*p - g*s + 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 12 + 7 = 0, 44 = -5*z - 4*o. Let k(c) = -c + 1. Let p(l) = -4*l + 8. Let b(m) = z*k(m) + p(m). Let n(y) = -13*y**2. Give n(b(f)).\nAnswer: -208*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -4*k**2 - 10 + 2*k**2 + 7*k + 0*k. Does 4 divide w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -5*j**3 - j - 1. Let z be h(-1). Suppose 0*i + i - z*o = 15, 3 = 4*i - o. Solve 0 = b - 4 - i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 = 38*l - 39*l. Calculate the greatest common divisor of l and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 0.5303 in descending order.\nAnswer: 4, 0.5303, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 71.36562 to two decimal places.\nAnswer: 71.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 2 = -2*r, 87984*s + 23 = 3*r + 87986*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/(-8) + (-4)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4132\/13 + 318. Suppose h + 2*h - 3 = 0. What is the third biggest value in h, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, m: 1, r: 2, e: 1, f: 1}. Give prob of picking 2 h and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -521 + 563. Let h = 1393 + -994. What is the highest common divisor of h and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/896 and (-2555)\/3136 + 6\/7?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 72*j**4 + 552*j**3 + 674*j**2 - 272*j + 24 = 0.\nAnswer: -6, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3332 - 13?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t**3 - 6*t**4 - t**3)*(3 + 0 - 5) + (2*t**4 - 11*t**4 + 2*t**4)*(1 - 1 + 1) to h*t**4 + l*t**3 + z + i*t + c*t**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-3)*(305\/20 - 16). Solve -2\/3*z + 0 + 8\/3*z**t = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10, 3, 24, 53, 90, 135?\n\"Answer: 4*g**2 + g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2952 divided by -18?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x**5 + 88*x**4 + 354*x**3 - 3188*x**2 + 5080*x - 1200 = 0.\nAnswer: -6, 2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + -5)\/(-1) + 1. Differentiate -u**j - 1 + 2 + 2 - 5 wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 497589 divided by -3\nAnswer: -165863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -148, -2\/33, -1\/60, 4, -2 in decreasing order.\nAnswer: 4, 1\/3, -1\/60, -2\/33, -2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/3)\/((60\/(-25))\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13519 = 60*z + 266*z + 13972 - 21949 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0616 - 0.114. Round y to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13560 = -6339*o + 9729*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 3*n - 455 - 10378 = 0, m - 3607 = -3*n. Suppose 3*r = -5*b + 2206, -3*b = -5*r + 2*b + m. What are the prime factors of r?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2105*t = b - 2100*t - 62694, 2*b + 3*t = 125346. What are the prime factors of b?\nAnswer: 2, 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-312)\/(-40))\/13*(-10)\/(-4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eaai when four letters picked without replacement from aeiaiiiiaav?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 70237.2 - -0.6666\nAnswer: 70237.8666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*s + 22*s = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qww when three letters picked without replacement from {q: 2, w: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 + 40*c + 263. Calculate i(-24).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - (sqrt(77) + (1*sqrt(77) + sqrt(77) - sqrt(77)))) - sqrt(77))*6*4*-4)\/((sqrt(198)*4)\/(sqrt(18)\/(sqrt(9) + 2*sqrt(9)))).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2813*d - 3251*d - 45552 for d.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 + 2*o**2 + 1720*o - 1720*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u + 1. Let y be w(-3). Suppose 2*r + 3*r - 2*p = -1477, -y*r + p = 1181. Let d = 1205\/4 + r. Calculate the common denominator of d and 12\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-10))\/(48\/(-30)). Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + (14 - 1\/1). Suppose 4*w - x = 9. Let s be -2 - (1 + -2)*w. Solve 4*i + 14 = g - i, -3*g = -s*i - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6836 and 1143321?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 384 - 666. Let i be ((-63090)\/(-7))\/((-2)\/f). Let h = -6346350 - i. Round h to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -190 - -194. Suppose -w*h - f + 39 = -12, -63 = -5*h - f. Solve -9 = -m - h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 104 + 154 = 2*s, -s - 3*n = -5*s - 62 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*y**2 + 0 - 3*y - 4\/3*y**4 + 2\/3*y**3 - 1\/3*y**5 = 0. What is y?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 - s + 1. Suppose 156 = -2*n - 11*n. Let b(r) be the second derivative of 5*r**4\/6 + 2*r**3 - 6*r**2 - 2*r. Give n*c(k) - b(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -c - 3, 2*c - w = c + 3. Let k(o) = o**2 - 7*o + 9. Let l be k(7). Let v(g) = l*g**2 - g**3 + 5*g - 1 - 5*g**2 + 2 + 1. Determine v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75948660 divided by -20.\nAnswer: -3797433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -1\/4, 3.7 in ascending order.\nAnswer: -1\/4, 3.7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -105 + 106. What is the closest to 0 in d, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-1)*3\/(-12)*-1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-132832)\/(-98) - 9\/21?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1025650, -2051325, -3077038, -4102795, -5128602?\nAnswer: -6154465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 646042664 and 8604.\nAnswer: 646051268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 0.1, -21.2, -31, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -1511\/1221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-949)\/(-13))\/(-28*35\/(-980))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n**(-6)))\/n)\/n**(-2\/35)*n**(2\/9)\/((n*n*n**10*n)\/n))**(1\/4) assuming n is positive.\nAnswer: n**(-2117\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -l**6\/15 + 641*l**5\/20 + l**4\/3 - 11*l**3\/3 - l + 3. Find the third derivative of x(j) wrt j.\nAnswer: -48*j + 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9\/2)\/3*2. Let -6\/5*h**2 + 2\/5*h**d - 2\/5 + 6\/5*h = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -48*r**2. Let x(g) = g**2 - 4*g. Let p(k) = -k**2 + 6*k. Let m(c) = 2*p(c) + 3*x(c). Calculate i(m(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of -49*k**6\/24 - 7*k**5\/5 + 45*k**4\/16 + 7*k**3\/3 + k**2\/2 - 7. Find h, given that o(h) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 6*q. Let p be r(-7). Suppose 2*s = -3*f - 11, 0 = 4*s + 2*f - f + p. Let c be (26400\/4)\/(s\/2). What is c rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*2542\/(-164)*1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(36\/(-15)))\/((-3)\/6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from umubbibbi. What is prob of picking 1 b and 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -272*u**7\/35 - 11*u**5\/5 - u**4\/24 - 15*u**2 - 2. What is the third derivative of b(x) wrt x?\nAnswer: -39168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 250 - 20 = -5*p, -4*i - p - 901 = 0. Let d = -2023\/9 - i. Let t = 171 + -515\/3. What is the nearest to t in 2, d, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 90401626 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3773, 4228, 4837, 5678, 6829, 8368, 10373?\nAnswer: 12922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4\/45 + 1\/5. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(833)*6 + 3)**2.\nAnswer: -252*sqrt(17) + 29997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 2)*(6*i - i - 4*i) - i + 2*i + 0*i + (-i + 5*i - 6*i)*(3 - 3 + 2) - 2*i + 6*i - 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10.38 - 10. Let u = -0.916 + d. Let k = u + 0.6. Round k to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-2\/3))\/k**(3\/4))\/(k**6\/(k*k\/(k**(1\/3)\/k*k)*k))*(k\/k**3*k*k**5\/k*k)\/(k**(-1)*k*k*k**(3\/8)\/k) assuming k is positive.\nAnswer: k**(29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3 = 5*x, x = -j - 4*j + 89. Solve -4*u - 2*c = -c + j, -4*c - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 5. Suppose 2*f = u - 1, 3*o = 3*f + 9. Suppose -5*n + 44 = -j, -2*n = -o*j - 15 + 2. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -7\/4  (b) 1  (c) 10137  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 184 and 2993680?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c + 16 = -24. Let b = -42.4 + 42.3. What is the smallest value in -1, 0.5, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6986 + 6984. What is the fifth biggest value in h, -1\/7, -28, -1\/2, -1\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 25*s - 29*s. Let a(c) = 8*c**3 - c. Let v be a(1). Is s less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + 27 - (1 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -14.1885*-4.78\nAnswer: 67.82103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 10:51 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jui. Give prob of sequence iu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - (-3)\/((-6)\/(-976)). Let o = 220 + 17. Suppose -4*j - o = -h - 624, 5*j + 4*h - s = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 200542*k*p + 191844*k wrt p?\nAnswer: 200542*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-3) + 0 + 1. Let a(d) be the second derivative of -5\/2*d**v + 1\/6*d**3 + 3*d + 0. What is a(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -73088 and 224.\nAnswer: -72864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 85*i - 63*i + 35576, -3*i - 3 = 0. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {a: 1, o: 1, w: 1, r: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - -2 - (-40 + 42) - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*r + 168 + 22 = 19 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, -4, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 + 0.1. Let c = -71027\/30 - -2366. Let u = -37\/30 - c. What is the fourth biggest value in 0.5, 0.3, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-158)\/14 + 4\/14. Let a = -40 - -56. Let o = a + t. Calculate the smallest common multiple of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * -4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/356 and -1\/3382.\nAnswer: 6764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (((-184)\/48)\/(-23))\/((-2)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 88 and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1004581+-259.5\nAnswer: 1004321.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in -136, -0.6, -3, -2\/21, -0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -128823.35 to the nearest 1000.\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -21343503351?\nAnswer: -21343503345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 8. Suppose -a*n - n = 2*m + 4, 0 = -5*m + 4*n + 23. Suppose -5*q = m*j - 48, -j = -4*q - 0*j + 35. What is the highest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of j**8\/1512 - j**7\/105 + 13*j**6\/270 - 17*j**5\/135 + 7*j**4\/36 - 5*j**3\/27 - 24*j**2. Factor v(s).\nAnswer: 2*(s - 5)*(s - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 + 2 = 7*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*(q*q**(-2\/13))\/q*q*q)\/(q*q*(q**(-12)\/q)\/q))\/(q*q\/((q**(1\/4)*q)\/q))**(-1\/87) assuming q is positive.\nAnswer: q**(71779\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(3\/20)\/(f**(-2\/37)*f*f)*(f\/(f\/f**(-28)))\/f**(-24))**12 assuming f is positive.\nAnswer: f**(-12867\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10211 + 0.0965096?\nAnswer: 10211.0965096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {r: 4, g: 4, u: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q + 2*q + 2*q)*(5 - 4 - 3)*(-716*q + 716*q - 3*q**2) in the form i*q**3 + o*q + r*q**2 + y and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7*w**2 + 5*w + 4. Let z(g) = 13*g**2 + 10*g + 7. Let m(o) = 11*f(o) - 6*z(o). Give m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (261*l + 4906 - 4906)*(2 + 1 - 2) in the form d*l + t and give d.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 164881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1834 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 46667387 at most as big as 46667388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 68526.69g?\nAnswer: 68526690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j + 21 = 5*b + 4*j, -3*b = -2*j - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 59*i**3*l**3 - 4*i**3*l*q + i**3 + 3*i**2*q + 11*i*l**3*q + 2*l**3 with respect to q.\nAnswer: -4*i**3*l + 3*i**2 + 11*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 10*p**2 + 13*p. Let z(v) = 51*v**2 + 66*v. Determine 21*r(a) - 4*z(a).\nAnswer: 6*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.022 - -24.978. Let c = g - 24.96. Round c to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2 - 622340*l - 48413384450.\nAnswer: -2*(l + 155585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(150)\/sqrt(2))*-3 - (sqrt(224) + (sqrt(224) - (sqrt(224) + (sqrt(224) - sqrt(224)*-2))) + sqrt(224))\/((-1*sqrt(88))\/sqrt(11)))*6.\nAnswer: -78*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 - 2*v - 2. Let d(n) = 6*n**2 + 8*n + 8. Let k(z) = -3*d(z) - 12*w(z). Let f(i) be the third derivative of 2*i**5\/15 + 16*i**2. What is k(f(y))?\nAnswer: -1920*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 183 + -175. Solve -b = -2*l, 3*l + 3 = y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92 - 120 - 176 = 34*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - r**2 - 4*r + 6. Give k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 2\/3, -3, 4, 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/29  (b) -5  (c) -47  (d) -0.5  (e) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24061, 48117, 72173, 96229, 120285, 144341?\nAnswer: 168397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4205340 (base 8) to base 6\nAnswer: -35534452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -8. Suppose 2*n = -3*i + 4, 3*n + h*i = -n + 8. What is the third derivative of -n + d**4 + 2 + d**2 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 162*f**4 - 2*f**2 + 115.\nAnswer: 3888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)\/(sqrt(4) + sqrt(16)\/sqrt(4)))\/(sqrt(750)\/sqrt(3))*1)**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8639 a factor of 221457587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 909519746.2 to the nearest 1000000.\nAnswer: 910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -8633 at least -5410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t + 8. Let p be y(-4). Suppose -p*h + h = -561. Suppose h + 45 = 4*j. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/16*-4036 - -7.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-26)\/5 + 6)*(-5)\/(-1). Suppose 2*j - 147 = -3*k + 2*k, c*j - 4*k = 312. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -86 - -68 - 31 - -55?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 607408968?\nAnswer: 3037044840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -42, -52, -64?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-18))\/(10\/6). Let i(z) = -2*z - 19. Let r = 20 - 31. Let s be i(r). Which is the nearest to s?  (a) 2\/5  (b) -5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 3\/29393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11925 - -11928. What is the third biggest value in -4, b, -1\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79701?\nAnswer: 3, 31, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2\/7  (b) -0.32  (c) -0.814  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 19*v - 5. Let s(w) = 3*w + 16. Let x(c) = 2*c + 19. Let l(b) = 7*s(b) - 6*x(b). Calculate -5*l(z) + 2*u(z).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 295555895.\nAnswer: 5, 821, 71999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8 - 16) + 6 - 0) + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111 - 2210?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1246 is divided by 139.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -2.6. Let f = -161094 - -161093. Which is the second smallest value?  (a) f  (b) n  (c) 0.07  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1136 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 4.102115ug?\nAnswer: 0.000000004102115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6872 or 2\/919?\nAnswer: -6872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 9*j**2 + 9*j + 7. Let g be s(10). Is (-38)\/g*6\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 8976653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y - 4. Let p be v(-3). Suppose 0 = 5*i + 2*r + 20, -3*r - 25 = p*r. Let b(h) = -5*h - 1. Let t be b(i). Solve 3*o = 3 + t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = x - 64, -5*r + 6 + 19 = 0. Suppose -x*z + 27*z + 2580 = 0. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -244.3544 to 1 dp.\nAnswer: -244.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(1053) + (sqrt(1053) - (5 + -3 + sqrt(1053) + sqrt(1053)))**2 - (0 + (sqrt(1053) + 2 - sqrt(1053)))**2) + 4)*-5.\nAnswer: -5280 - 225*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 368222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -13*s - 180. Let n = 33183 - 33197. Give z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -348*c**2 + 5*c + 113. Let b(y) = 523*y**2 - 8*y - 169. Let q(j) = -5*b(j) - 8*f(j). Differentiate q(m) wrt m.\nAnswer: 338*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/((sqrt(16) + sqrt(256))\/sqrt(4)) + sqrt(50)\/(sqrt(10) - sqrt(1000)*-4))**2.\nAnswer: 2116\/8405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -161 + 176. Calculate the remainder when 5\/(30\/27)*12\/2 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 - 3)*(3*h - 2*h + h) + 11 + 0*h - 5*h + 7*h to the form q*h + m and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 7016 = 6*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5*k - 72. Calculate j(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + y + 6. Let j = -27.8 + 0.8. Let a = j + 29. What is the nearest to y in a, 2\/11, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of x**6\/10 + 63*x**5\/20 - 3*x**4\/4 - 65*x**3\/2 - 63*x**2 + 3*x + 8. Factor u(j).\nAnswer: 3*(j - 2)*(j + 1)**2*(j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + w**2 + w. Let d(f) = 4*f**3 + 8*f**2 + 3*f - 38. Let m(x) = 2*c(x) + d(x). What is the tens digit of m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k - 4*k + 4*k)*(-k - 2*k + 4*k) + (-3*k - 3*k + 2*k)*(-4 - 4 + 5)*(-5 + 2*k + 5) to the form r + g*k**2 + w*k and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of 7*l**6\/30 + 7*l**4\/6 - 2*l. Find the third derivative of o(i) wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(1*sqrt(2)))\/(sqrt(33)\/(sqrt(44) + sqrt(11))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -215 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (91*j + 599*j - 113*j)*(1 + 2*j - 1 + (3 - 1 - 3)*(-j + 0*j - j)).\nAnswer: 2308*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s + 9. Determine u(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*w - 3*w + 2712. What is the remainder when w is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81 and 2349.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 94533344 divided by -8\nAnswer: -11816668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r + 167 - 8747 = 0. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 4\/6*(-273)\/14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 5. Suppose m = -2*v - 5*b + 24, -v - 4*b + 12 = -3*v. Solve -v = n - 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m**4 - 58998*m**3 - 1417611*m**2 - 1358610*m = 0 for m.\nAnswer: -23, -1, 0, 19690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 506240 is divided by 830.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/3 + 30736*p**2\/3 + 122960*p\/3.\nAnswer: -p*(p - 30740)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (-6 - 0) + -44 + 57.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - 6*n**2 - 4*n - 5. Let u be m(7). Let v = 22 - u. Calculate the remainder when 16 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - y = 0. Suppose y*c + 5*j = c, 0 = -c + j. Suppose 7 = -c*b + b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11 + 12)\/((-2)\/(-6)). Suppose 4*l - 4*v + 184 = 0, -v + 168 - 30 = -w*l. Let x = l - -46. What is the third biggest value in 3\/10, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + 1. Let a be 1578\/12 + (-15)\/6*1. Suppose s*t - 315 - a = 0. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = 4*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*z - 8817565270744 + 8817565270744.\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 261 = -2*d. Calculate the remainder when d is divided by 20\/12 - 2 - (-559)\/39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2528727504 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 11*a - 50. Let n be a + (-477)\/63 + (-6)\/14. Solve n = 5*r + 25, -4*m - 2*r + 5*r = 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3678*s*u**3*y - 3*s*u*y + 96*s*u - s*y + 29*u**5 - 2*u**2*y + 1076*u + y wrt u?\nAnswer: -22068*s*u*y + 580*u**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, -1\/7, 0.5, 0, -107.7, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10122 (base 3) to base 8.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120386194?\nAnswer: 2, 103, 584399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/1106 and 37\/7742.\nAnswer: 7742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/3 + (0 - -119). Let m = -78 + r. What is the remainder when m is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - j + 1 = 0, -2*o - 5 - 1 = 2*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 152 + -148. Suppose -i - i + x*u - 16 = 0, 5*u = 5. Let h(l) = l**3 + 6*l**2 - 4*l - 9. Calculate h(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206*w**3 + 379*w**3 - 176*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/((-32)\/8))\/(2*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 173, 575, 1357, 2621, 4469, 7003, 10325?\n\"Answer: 17*l**3 + 88*l**2 + 19*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let x be 36\/16 + (-1)\/4. Let j(b) = -2*b**2 + 44*b + 53. Let a be 117\/5 - (48\/30)\/4. Let w be j(a). Solve w*y - 9*y = 5*v - 15, -30 = x*y - 4*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 9:43 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4999537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 629281554 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15833480 is divided by 753972.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 125533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 949147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*d**3 + 1328*d + 0*d**3 - 1329*d - 5*d**4 to g*d**2 + o*d**3 + q + h*d**4 + k*d and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 16429.29 millennia?\nAnswer: 197151480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2630.74 nanometers in meters?\nAnswer: 0.00000263074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11*((-462)\/1320)\/((-7)\/12)*5.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13*u + 5*u + u + 2)*(2 + 4 - 3)*(-2 - 6 + 1) to the form v + h*u and give h.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -7) + -5 - (2 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*u - 7918195 = 424255 + 1510735. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -8. Suppose -92 = 4*z - y + 4*y, 5*z + 138 = s*y. Let w = -13 - z. Calculate the remainder when 37 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17382691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 - 27*t**2 - 59*t + 86. What is x(29)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 200475 + 3075?\nAnswer: 203572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4208656 by 34.\nAnswer: 123784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6198901, -24795558, -55789989, -99182194, -154972173, -223159926?\nAnswer: -303745453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -q - 8. Suppose u = -0*u + 1. Let t be u\/((-2)\/q) + 2. Sort 2\/7, t, 4\/5 in increasing order.\nAnswer: 2\/7, 4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110100 (base 2) to base 3\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -261 - -519\/2. What is the nearest to -0.1 in 4, f, 1\/10, 0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 - 27. Let r = -2 + 3. Let c be (r\/(-2))\/(u\/(-2)). What is the nearest to -1\/4 in 0, c, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/909 and 91\/380568?\nAnswer: 1141704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 186264 and 1760354?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58*k**5 + 2*k - 5.\nAnswer: -1160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11422 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: Simplify (-1 + sqrt(13))**2*6*1 + -4 - (sqrt(156)*-2*3)\/(-3*sqrt(192)).\nAnswer: -25*sqrt(13)\/2 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6542705, 13085417, 19628129, 26170841, 32713553, 39256265?\nAnswer: 45798977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 9 = -16. Sort -2, w, -1, -3 in ascending order.\nAnswer: -3, -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 - 15*f + 36.\nAnswer: (f - 12)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of -4*l**2 + 4. Let n(y) = 2*y**2. What is n(v(p))?\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-361 - 35*y + 361)*(27 + 20 + 388*y + 23 - 97 + 27).\nAnswer: -13580*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**2 + k**2 + 2*k**2 + (-2*k**2 + 5*k**2 - 2*k**2)*(0 + 2 - 3) + 2*k**2 + 0*k**2 - 4*k**2 + (-3 + k + 3)*(-7*k - 3*k - 11*k) - 2*k**2 + k**2 + 2*k**2.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -20 + 1 - (-2 - -6)*-1. Let y = 11 + s. Calculate the lowest common multiple of 2 and ((-1)\/2)\/(y - (-282)\/72).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 65060*g**4 + 18*g**2 - 4473247?\nAnswer: 260240*g**3 + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -6\/5*b**2 + 3\/5*b**4 - 2\/5*b**3 - 2 - 3\/25*b**5 + 9\/5*b. Let i(s) = 0. Calculate s.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 13. Let r = 485\/3 + -162. Let i = 0.07 - -4.93. Which is the smallest value?  (a) r  (b) m  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 620 = -652. Let j(q) = q**2 + 20*q + 26. What is the tens digit of j(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -24*k + 2. Let a be h(-1). What is the first derivative of 54*y + a*y - 54 + 79*y + 14*y - 61 wrt y?\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 374, -89, -30 in increasing order.\nAnswer: -89, -30, 3, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4294*u + 4297*u + 5*z + 51, 0 = -u - 4*z - 38 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - (-27 + 27 - -19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 834840923.\nAnswer: 7, 119262989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 5\/4  (b) 7  (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 8*q + 14. What is the remainder when 27 is divided by g(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - (-1080)\/(-63)) + 7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/14*86\/215)\/((-13)\/4745)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 8, h: 5, v: 2}. Give prob of picking 1 h and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1294435?\nAnswer: 5, 258887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -0.15. Let w = q - 0.05. What is the closest to w in 2\/3, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*1*(0 + (3*(sqrt(720) + 4 + -1*sqrt(720)))**2).\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*i**2*n**2 - 171076*i**2*n - i*n**2 - 40407367*n**2 wrt i.\nAnswer: -14*i*n**2 - 342152*i*n - n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 2*i = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - d + 2. Let b be a(0). Let f be (12\/(-30))\/(b\/(-10)). Sort f, -2\/5, 0.3 in decreasing order.\nAnswer: f, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(12)\/(-1*sqrt(4)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - 2*p + 3*p)*(2*p - 3 + 3) + 4*p**2 - 6*p**2 + 0*p**2 - 7*p - 12*p**2 + 7*p.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.8 + 0.6. Let n be 3\/(-64 - -1)*(-1 + -5). What is the third smallest value in n, 1\/10, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 73\nAnswer: 5\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*g**2 + 0*g**2 - 4*g**2 + g as s*g + v + h*g**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*x**2\/13 - 34*x\/13 - 4\/13 = 0. What is x?\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -46.75 from -1.444.\nAnswer: 45.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*-1 - sqrt(204))*2*3)\/(sqrt(12) + sqrt(36)\/sqrt(3)*-1 + (sqrt(12) - (sqrt(84) - (-2*sqrt(84) + sqrt(84)))\/sqrt(7))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65\/4*b + 75\/2 - 5\/4*b**2 = 0. What is b?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1547, 1549, 1551, 1553, 1555, 1557?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/10*(-24)\/(-4)*-1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.81090233 rounded to 1 dp?\nAnswer: 70.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 3*k - h, -3*h = 5*k - 4. Let f(i) = -264 + 536 - 272 - 2*i**k. Let y(j) = 93*j + 4. Determine f(y(d)).\nAnswer: -17298*d**2 - 1488*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 448953 and 1311647?\nAnswer: 8803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 84 - 121. Let s = m + 110\/3. Which is the biggest value?  (a) 5  (b) s  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 8*l + 9. Let h be z(-9). Suppose -w = -h*w - 24. Suppose 4*r - w = r. Solve -o + r = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 381454 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3667 = -5*l + 583. Suppose 2*y = -3*y - l. Let r = y + 242. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence txx when three letters picked without replacement from xxtxxxxx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of 0*v**3 + 0*v**4 + 2*v**2 + 0*v + 0 + 1\/20*v**5. Let t(c) = -c**2 - 6*c + 6. Let l be t(-7). Determine r(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/260 and 17\/1690.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 5*m**2 + 10. Suppose -44 - 76 = -30*f. Determine r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - 4. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - i**2 + 1001*i**3 + 5*i - 3*i**2 + 2*i**2.\nAnswer: 1001*i**3 - 2*i**2 + 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 55*u**3 - 2*u**2 + u. Suppose 9*z - 4*z = 5. Let x be i(z). Let p = x - 24. Solve 4*f - 5*y = -p, 14 - 4 = 5*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20001221100011 (base 3) in base 4?\nAnswer: -30103302301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j - 7. Let v be u(9). Suppose 1 = f, i + 0*f + v*f - 38 = 0. Let s be ((-9)\/i)\/(2 + (-15)\/6). Is 0.4 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -5*q**2 - 295*q - 1350 = 0?\nAnswer: -54, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 11 = -9. Suppose 0*g = -p*g + 100. Let m = -13 + g. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 33*b - 2. Let o(j) = -33*j + 2. Determine -6*o(i) - 7*x(i).\nAnswer: -33*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 436889474 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 6637*c - 637 - 4*c**2 + 6649*c - 13286*c in the form k*c**2 + h*c + n and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.1  (b) -1\/3  (c) 0.4  (d) -27  (e) 22  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 12) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001953916 rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/3 of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28372 * 8.\nAnswer: -226976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3. Let y(l) = -l**3 + 2*l**2 + 5*l + 1. Let z(o) = -2*v(o) + y(o). Is z(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 - 10*m**2 + 19*m + 15. Let y be x(7). Let g(n) = 3657*n + 2. Is g(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 + 10.5. Is q at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/38255 bigger than 457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -1135*i - 249764. Give l(-220).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2689*h + 3244.\nAnswer: 2689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 10*j**3. Let y(a) = -3*a**3 + 6127*a**2 - 6127*a**2. Give 2*b(x) + 10*y(x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -28, 4225\/3, -2?\nAnswer: 4225\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of g**3\/3 - 2*g**2 - 16*g. Let d be s(2). Suppose d*u - 15 = -5*u, -2*h = -5*u - 11. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 21112?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 181*p - 7. Calculate y(2).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/19 - 736*c\/19 - 67712\/19.\nAnswer: -2*(c + 184)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 3 + 4*h - 3*h - 2*h**2 - 4 + h**4 to w*h**2 + g*h**4 + u*h**3 + n*h + i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a microsecond in nanoseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 123c - d080?\nAnswer: -bd43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 520161092 by -3.\nAnswer: -520161092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -124, 2 in descending order.\nAnswer: 2, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2886 is divided by 1396.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 3. Suppose -15*j = -10*j - 20. Suppose -5*w = -b - j*b - 35, 3*w + b = 9. Let f be 3\/(w\/12*-1). Give p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17254.\nAnswer: 2, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -o**2 + 2 - 5*o**3 - 3*o**3 + 60*o - 59*o - 25*o**4 - 42*o**4 in the form u*o**2 + x + s*o**4 + y*o**3 + p*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -78 + 84. Solve -2*t = -4*t + q - u, 5*t + 21 = 4*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {s: 1, x: 3, o: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - 0. Let h = -31 - -23.5. Let z = h - -11.5. What is the third biggest value in z, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -15*3\/(-120) - (-874)\/16. Suppose -46*m + p*m - 360 = 0. What is the highest common divisor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 886, 876, 854, 814, 750?\n\"Answer: -p**3 - 3*p + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/37 in -0.1, -1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -163, -6899 in ascending order.\nAnswer: -6899, -163, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230.76 + 132272.\nAnswer: 132502.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l - 32*l = -15330. List the prime factors of l.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -d**4\/24 + d**3\/6 + d**2. Let b = 23 - 26. What is the units digit of v(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 112367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -2*n + 1618, 2*n - 1397 - 237 = 5*q. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -5699*x + 130866. Calculate h(23).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (27280 - -7)\/(35 - 34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*b - 16*b - 2*x - 3, -3*b + 4*x + 4*x + 7 = 3*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-22 + 611 - 121)*(2*u + 0 + 0) to the form k*u + h and give k.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5952 - 5957. Put -0.3, -55.9, z in ascending order.\nAnswer: -55.9, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -2*c - 2*a - 20, 4*a = 0. Let q(w) = -4 + 474*w**2 + 2 - 478*w**2 - w**3 - w. Calculate q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 114521 + -55054. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -32*h**4\/7 - 22276*h**3\/7 - 720736*h**2\/7 + 205072*h + 190656\/7 = 0?\nAnswer: -662, -36, -1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 1  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from kktkjkettttjttktjk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 1010100001101111000?\nAnswer: -1010100001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**5\/5 - 102*g**4\/5 - 606*g**3 + 312*g**2\/5 + 8859*g\/5 - 6042\/5 = 0. What is g?\nAnswer: -19, -2, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c. Let u(l) be the third derivative of -l**4\/24 + 4*l**3\/3 - l**2. Let f(k) be the first derivative of u(k). What is b(r) + 3*f(r)?\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-15*12)*-34. Let o = x + 3\/5. Let i = 0.11 - 0.11. Are i and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 601 is divided by 98?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30818639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of -4 + -42*(-21)\/(-9)*-202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*f = -128*f + 140 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000864 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**2 - 3*k - 10. Let s be d(0). Sort -17, s, 0.1 in descending order.\nAnswer: 0.1, s, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*m - 9, m = c + 3*m + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t**2 + 144617 - 953*t - 144617 + 360*t in the form h*t + f*t**2 + s and give h.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 37017186 a multiple of 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 3*x = 460. Let l = x - 32. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 11 + 4 = 0. Let m = -1 + 1. Suppose -3*r + 3*u - 3 = m, 2*u - 3 = s. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - o. Suppose -7 = -4*f - 3. Let b = o + f. Which is smaller: 3\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 PM and 1:10 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from hrxhhhyyxrxxrrrrhrr?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 4:34 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196*z + 760620 = -136*z. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37958336 divided by -15.\nAnswer: -37958336\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/4))**2\/(s\/((s*s**(-4\/5))\/s)*s\/s**(-3\/8)) assuming s is positive.\nAnswer: s**(-107\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 0*u - 184 = 0. Suppose -f = -8*f + 168. What is the remainder when u is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20.7 + 21. Sort w, -4, 3, 1 in ascending order.\nAnswer: -4, w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -16, -1.\nAnswer: -16, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**4\/12 + 5*k**3\/2 - 11*k**2\/2 + 63*k. Determine d(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a**2*j**2 + 4*a**2*v + a*j**3 + 45*j**2*v - v + 3 wrt j?\nAnswer: -2*a**2*j + 3*a*j**2 + 90*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 3*u = 4*u - 18, 4*u = 0. Let o be 4 + s\/9*-3. Suppose -29 = -5*v + o*i, -2*v - 3*v = 3*i - 19. Solve 0 = -5*l + 3*d - 4 + v, -2*l + d = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/8, 487, -3.377?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kffffkfk. Give prob of sequence fkk.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yjyjyjyjyyy. Give prob of sequence jyyj.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 9*n - 38*n + 247 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2629*c**2 + 47*c**2 - 5251*c**2.\nAnswer: -7833*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 117 = -16*r. Is 2 + -4 + 819\/r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 2942*c + 2939*c = 57, n + 47 = 2*c - 4*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of s**3\/6 - 21*s**2\/4 + 2467. Solve u(c) = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x - 10*x + 8785*x**2 + x - 2 + 17*x.\nAnswer: 8785*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -248043399 divided by -71?\nAnswer: 3493569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-3*sqrt(612)*1)**2)*-1.\nAnswer: -5507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 5*v = 6185, -u - 3*v = -787 - 768. Let k be 1\/(-2 + 3 - 12\/8). What is the units digit of k\/(-5) + u\/25 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/1441 and -62\/55.\nAnswer: 7205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of 98 and 80401.\nAnswer: 80499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 589\/2041 - -3\/157. Let r be (3 + (1 - 5))\/((-7)\/21). Find b such that 4\/13*b**2 - 8\/13*b**r - 8\/13*b**4 - 2\/13*b**5 + 10\/13*b + p = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -251?  (a) 3\/5  (b) -0.06  (c) 0.7  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27789*w + 0 - 56536*w + 0.\nAnswer: -84325*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -451249 or -451245?\nAnswer: -451245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 283 - 281. Let g(l) be the first derivative of 3\/2*l**w + 0*l + 2*l**3 + 2. Find the second derivative of g(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -826 - -972. What is the remainder when 271 is divided by f?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -c**7\/18 + 22*c**6\/45 - 2*c**5\/3 - 17*c**4\/18 + 47*c**3\/18 - 5*c**2\/3 - 2*c + 40. Determine u so that a(u) = 0.\nAnswer: -1, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1009523.\nAnswer: 127, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (1 + 2 + 3 - (50 + -53))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*u**4 - 8*u**4 + 19*u**4 - 6*u**4 + 3*u**4 + 2*u**4 + (0 + 0 - 2*u)*(0*u**3 + u**3 - 2*u**3) + (-2*u**3 - 4*u**3 + 3*u**3)*(-14 + 14 + 14*u).\nAnswer: -21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -3 + 1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*r**2 + 145*r - 333*r + 102*r + 114*r.\nAnswer: -21*r**2 + 28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, g: 2, b: 4}. Give prob of sequence gzbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a - 3. Let d be l(8). Let r(i) = 2*i - 5. What is the remainder when (45\/20)\/(-1*(-30)\/160) is divided by r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23598 or -23601?\nAnswer: -23598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 1)*(-2*u + 3*u - 2*u)*(1875*u**3 - 520*u**3 - 525*u**3).\nAnswer: -830*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -672\/5, -3, 28, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -159\/912598?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.8?  (a) 0.3  (b) -549  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 380976738 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -34, 2\/13, 1\/3, -4\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40901 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 5, -41, -160, -3 in decreasing order.\nAnswer: 5, -3, -41, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*b - 1 - 370405*b**3 + 370403*b**3 + 6*b**2 - 192*b to q + c*b**2 + s*b + j*b**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 17295288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 AM and 9:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 294540409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35128, -35645, -36162, -36679, -37196, -37713?\nAnswer: -38230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -5*p**3 + 31*p**2 + 63*p - 4624. Let v(y) = 7*y**3 - 26*y**2 - 64*y + 4624. Let r(q) = 5*c(q) + 6*v(q). Differentiate r(i) with respect to i.\nAnswer: 51*i**2 - 2*i - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = 4*o + 130, -3*d = 2*d - 3*o + 5736 - 5938 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 28\/3*o**2 - 8*o**3 - 4\/3*o**4 + 0*o + 0 = 0. Calculate o.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-61)\/(-6) - (-16)\/(-96). Suppose 74 = q*n + 14. Suppose n*k + 328 = 10*k. Round k to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19527 divided by -69.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (4 + sqrt(108)*-3 - (-1 + 1 + sqrt(108))) + 3)**2.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37*a**5 + 18648*a**3 + 2*a**4 - 18648*a**3)*(42 - 16 - 16).\nAnswer: 370*a**5 + 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 7*x + 47. What are the prime factors of y(-20)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 4\/7  (b) 1\/3  (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - -1)\/((-3)\/9). Let v = u + 3. Let j = -2.3 + 0.3. Which is the closest to -0.1?  (a) -3  (b) j  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52956301.\nAnswer: 52956301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -2*f - 38. Let u = 1460 + -1460. Which is bigger: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -11 - 14. Suppose q + 2 - u = 0. Put -2, -4, q, -3 in decreasing order.\nAnswer: q, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01*67.3\nAnswer: 0.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**4 + b**2 - 13*b**2 + 6*b**3 - 8*b - 6*b**3.\nAnswer: 4*b*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19497272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 - 85328*m + 85330*m + 102.\nAnswer: 2*m + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*b + 28 = 0. Suppose n = 3*n - b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - 8*r**2 + 7*r - 10. Let v be t(7). Let m be (-36)\/v + (-6)\/10. Suppose -18 = -2*w + y, -m*w = 3*y - y - 13. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*r + 7*r**3 + r**3 + 7*r - 12*r**3 - 38 + 2*r**2 - r in the form f*r**3 + a*r + i*r**2 + q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 9:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -12792 divided by -68\nAnswer: 3198\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -12, 6, 44, 108?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 80720\/10 + -9 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 10 - 4. List the prime factors of ((-1360)\/(-51))\/(x\/(-315)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4629*l*r**2 + l*r + l + 13*r - 7 wrt r.\nAnswer: 9258*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of v**3\/6 - 161*v. Suppose -2*r - f + 2*f = -12, 18 = 4*r + f. Let p(i) = -7*i**2 - 5*i**2 + r*i**2. What is t(p(h))?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -3*s - 11*s + 11*s. What is the smallest common multiple of 7 and s?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3332696?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 295115.9 millimeters in meters?\nAnswer: 295.1159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*j**2 + 17 - 76*j**2 - 17.\nAnswer: -130*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**5 + 36*d**4 - 7790*d**3 + 101160*d**2 - 204251*d - 313236 = 0. What is d?\nAnswer: -113, -1, 4, 11, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 3*z**2 + 13752864*z + 15761772350208 = 0.\nAnswer: -2292144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 395 = -52. Let m = -41 - u. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -423.9 + 9.44?\nAnswer: -414.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 5 + (-2*(-1*(sqrt(245) + sqrt(245)*-2) + -4))**2.\nAnswer: -224*sqrt(5) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 402 is divided by 73.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.043557865, -0.5, 5 in decreasing order.\nAnswer: 5, -0.043557865, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 251*c - 26. Let a be h(-8). Let w = 950 + a. Is (1\/(-2))\/(2\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 1 + 4*c - 4*c)*(-1 + 1 - c**4) + (-4*c + 2*c - c)*(-2*c**4 - c**4 + 5*c**4) - 4*c**5 + 0*c**5 + 3*c**5.\nAnswer: -8*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*p = 24*p. Let c = 10\/79 + 364\/869. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 86\/39, 1\/3, -2\/2901?\nAnswer: -2\/2901","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -4) + (-849 - -876)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 413*i - 102159 = 170*i + 2316906. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6\/5651 - 11272\/28255. Let f be ((-1)\/10)\/(2\/(-12)). What is the nearest to f in s, -4\/7, 5.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6\/24 - (-2925)\/12?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + -25. Let x = 296561.0046 + -296595. Let p = m - x. What is p rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from uaouuuuur?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020 + -20202210?\nAnswer: -20211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/135)\/(((-264)\/(-30))\/(-22)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 395.5005 millimeters in centimeters?\nAnswer: 39.55005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -11. Let a(p) = -d + 2 + 2*p - 3*p + 76*p**2. Is a(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*k = 50*k - 9*k - 49 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {b: 2, n: 4, a: 3, c: 1, m: 3, s: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -86*h**2 + 39*h - 28*h - 11*h in the form n + a*h**2 + j*h and give a.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -117\/46 - -24\/23. Let q = -289\/5 - -58. What is the second smallest value in 0, q, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-5\/4)*z*z*z*z**(-1) assuming z is positive.\nAnswer: z**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/9)\/7*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from {z: 8, s: 2, v: 5}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*o**4 - 201*o**3 + 393*o**2 - 195*o = 0. Calculate o.\nAnswer: 0, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -19523*d - 18446?\nAnswer: -19523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28332 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1967252 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -11*g**3 + g**2 + 15*g - 15. Calculate c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 204*i**2 - 13*i**6 + i**3 + 9*i**6 + 54*i**6 + 19*i**2 wrt i?\nAnswer: 6000*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 10314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4404 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2482858917 to the power of 1\/3, to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 125983 < 125986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00060399931 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-5)*80\/56. Which is the second biggest value?  (a) x  (b) 1  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -s**3\/8 + 137*s**2\/8 - 597*s + 12285\/2 = 0?\nAnswer: 21, 26, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5674 - 5674. Solve -13*z + 48 + 30 = w for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y - 25. Let m be h(-12). Let f be -2 + m + 7 + 0. Let r(p) = 21*p + 6. Is 18 a factor of r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-8)*v*v)\/(v*v*((v*v**2*v)\/v)\/v)*(v*v**2)**50 assuming v is positive.\nAnswer: v**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006487874093 to 7 dps.\nAnswer: -0.0064879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2024 - -2019. Which is the second smallest value?  (a) -5\/61  (b) -3\/10  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -23*d**4\/12 - 9*d**3\/2 - 44*d**2. What is the hundreds digit of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 172*n**4 + 18744*n**3 + 54*n**2 - 18744*n**3 wrt n?\nAnswer: 4128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*a - 3*a**2 + 0 + 0*a**4 - 7\/2*a**3 + 1\/2*a**5.\nAnswer: a**2*(a - 3)*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 4*q. Let b(j) = j**2. Let f be b(q). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14.2 in -8190, 0.08, 4\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179685 is divided by 22447?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 6. Let p = 42 + -39. Which is the biggest value?  (a) p  (b) s  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 619*r**2 + 79*r - 35*r - 44*r - 309*r**2 - 305*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 117087 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.1314 days to microseconds.\nAnswer: 8392152960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 214\/1421 - -3902554\/15631. Let z = 250 - m. Which is the biggest value?  (a) 1  (b) z  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 866 - 2261 = -15*x. Suppose -x*t = -89*t - 9284. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - k**2 - k. Let z = -4 - -6. Let t be m(z). What is the remainder when 37 is divided by (-13)\/(-2)*t*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (222\/30 + -7)*(-60)\/(-144). Suppose 2*l - 12 = -3*f - f, -f + 3 = 4*l. Put -16, w, -5, l in increasing order.\nAnswer: -16, -5, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2366139690 to the nearest one million.\nAnswer: -2366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16460465 (base 7) to base 2.\nAnswer: -110001001011000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -3*p**2\/2 - 3*p\/2 + 9 = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-23654.\nAnswer: -23654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -32233?\nAnswer: -32240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.42 + 0.42. What is the closest to 1\/2 in -4, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2)*1 + -3 + sqrt(2) - (sqrt(200))**2.\nAnswer: -203 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -117656892 divided by -29414223\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53481*l**2 - 1139 + 1139 + 53476*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*u - 23*u**2 + 9*u**2 - u**3 + 14*u**2.\nAnswer: -u**3 - 127*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((21\/(-18))\/7)\/(12\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21978*q - 23139 wrt q.\nAnswer: 21978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 3*p + 28 = 0, -8*p + 13*p - 5 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(68) - sqrt(17)) + 5 + 0 - ((-4*sqrt(187))\/sqrt(11)*-6)**2).\nAnswer: -9785 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -0.0034.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/15)\/((-102)\/510). Which is smaller: t or 806?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 162*b**4 - 104*b**4 - 103*b**4 + b**4 + 0*b**4 - 2*b**4 + (0*b - b**4 + 0*b)*(-1 + 4 - 2) to d*b**3 + u*b**2 + l + g*b**4 + r*b and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 101, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 64 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6786104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.15, 0.2, 9\/5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 5:16 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*f**3 - 1 + 1)*((6*f - f - 3*f)*(-3 - 1 + 3) + 3*f + 0*f - 2*f) in the form l*f**4 + k*f**2 + m + r*f**3 + s*f and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -385\/2 - -192. What is the nearest to b in -0.3, 4, 2\/21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -982d (base 15) to base 7.\nAnswer: -162634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -7*s. Let d(t) be the second derivative of 0*t**3 + 103 + 23\/12*t**4 + 2*t + 0*t**2. What is w(d(v))?\nAnswer: -161*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1112*n*p - 237*p - 5 wrt n.\nAnswer: 1112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*o + 640 = 76*o. Calculate the smallest common multiple of o and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, -2, 4, 5, 71, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3986118?\nAnswer: 2, 3, 97, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**2 - j**2 - 4*j**2 + (0*j + j + 0*j)*(3 - 3 + j) + 4*j**2 - 3*j**2 + j**2 + 187*j**2 - 1089*j - 1093*j + 2184*j.\nAnswer: 189*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 85*t**4 + 127*t**2 - 4*t + 6. Let g(v) = -339*v**4 - 507*v**2 + 18*v - 27. Let n(y) = -2*g(y) - 9*x(y). Find the third derivative of n(b) wrt b.\nAnswer: -2088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 11*t**3 + 20*t**2 - 46*t - 9. Give s(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-187)\/187)\/(8\/(-5))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 312414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*w - w + 3*w. Let s(j) be the third derivative of -11\/96*j**4 + w*j + 3\/80*j**5 + 1\/12*j**3 + 0 - j**2. Factor s(u).\nAnswer: (u - 1)*(9*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - 15) + -1 + 0 - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -8 + (3 + 2 - 11) + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((4 + (2 + sqrt(17) - sqrt(17))**2)*3 - sqrt(68)\/(sqrt(8)\/(sqrt(2)*-2))).\nAnswer: 2*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((12\/2)\/(-2))\/(198\/44)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1554561 and 1554561.\nAnswer: 1554561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 + 164*c + 18903. Calculate z(-78).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/13  (b) -5  (c) 5  (d) 4\/9  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17221 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b**2 - 4*b**2 - 4*b**2)*(-3 + 8*b - 10*b + 2 + 2*b**2) + 2*b - b**4 - 2*b + (b - b - b**2)*(1 - 1 - b**2) + 0 - 2*b**4 + 0.\nAnswer: -8*b**4 + 6*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*r - 9*r - 52*r)*((-2*r - r + r)*(-2*r**2 + r**2 + 3*r**2) - 2*r**2 - 2*r**3 + 2*r**2 - 3*r**3 + 2*r**3 + 0*r**3 + (-2 - 2*r**2 + 2)*(2*r + r - r)).\nAnswer: 792*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.7 - 1.7. Let w = x - 4. Which is the biggest value?  (a) 2  (b) w  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*f**3 - 2*f + 7 + 3*f**4 - 173*f**5 - 6*f**4 - 6702*f**2 - 1 + 2*f**3 + 6600*f**2 wrt f?\nAnswer: -10380*f**2 - 72*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.8 - 11.2. Let z = g - -4. Let n = 8.4 + z. What is the biggest value in 0.2, n, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 1050?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4945\/248 greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.3 + 7. Sort 5\/4, i, 1\/3.\nAnswer: i, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bwbwbsw. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 - 1)*(o - o + 2*o)*((0 + 3 - 2)*(-2 + 1 + 0) + (-1 + 0 + 0)*(-7 + 3 + 1)) as h + g*o and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**5\/8 - 19*s**4 + 1003*s**3\/8 + 340*s**2 - 672*s = 0. What is s?\nAnswer: -3, 0, 7\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + (-8)\/10*-4)*-145. Put -6, o, -5 in decreasing order.\nAnswer: -5, -6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 544 + 139 = -3*m, 3*j = -3*m + 405. Suppose 10*u = m + 65. Solve 4*x = -x + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 48\/18 - (0 - -2). What is the second biggest value in -2\/11, -4, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.301 - 104.699. Let r = 104 + k. What is the closest to r in -0.3, -2\/7, 0, -8.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-6)\/32)\/((-6)\/380) and (78\/(-66) - -1) + 1903\/(-847)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(10\/(-3)))\/((-4)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 14*h - 449. What is l(19)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33559.\nAnswer: 37, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 5:38 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 7:49 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/2952 and 103\/2952?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**3 - 93*s**2 + 2*s + 7*s**3 - 1 + 97*s**2 - 3*s**3. What is z(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 37 and 8275309.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/150 - (-41)\/210. Which is the third biggest value?  (a) -6  (b) -0.2  (c) n  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 (base 4) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3069*r**2 - 6*r**4 + 5*r**4 + 1658*r**2 - 3 + 1548*r**2 as g*r**2 + k + t*r**4 + a*r**3 + y*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 1705 - 3*s**2 + s - 1729 + 0*s**2 in the form n + u*s + a*s**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3125 a factor of 10915625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2029, 2000, 1937, 1822, 1637, 1364, 985, 482?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/12*((-20)\/(-18))\/((-480)\/(-1152))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 9*b + b. Solve 0 = 3*y - 2*y - b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -174 - -176. Find the common denominator of ((-596)\/18)\/(4\/3) and u\/4 + (-445)\/(-70) + -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*t + 116162 + 2*t**2 + 387*t + 587*t.\nAnswer: 2*(t + 241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-5184)\/(-810))\/(548\/(-550) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 934.8516 centuries to millennia.\nAnswer: 93.48516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 137 + -137.000225. Round r to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 + 16250*n + 178145.\nAnswer: 5*(n + 11)*(n + 3239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -v**4 - 12*v**2 + 354*v wrt v?\nAnswer: -12*v**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8396 is divided by 1272.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.9 + 4.1. Let h = -7 + 7. What is the nearest to h in b, 1\/11, 0.3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 15*l + 8. Let m(t) = -t + 1. Let d(u) = -3*m(u) - y(u). Suppose 5*i = -5, -4*i + 46 = -5*g - 0*i. Is d(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 356.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 4*r - 76, 3*r + 3*n + 0 = 48. Solve -7*b = -2*b + 3*m - r, 2*b = 4*m + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y + 2. Suppose 0 = -4*k + k + 12. Calculate j(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -965 - -1893\/2. Let r = 16 + t. Let h(w) = w**2 - 19*w + 44. Let z be h(16). Which is bigger: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 757*l**2 + 2*l + 51. Let g be a(10). Suppose 14*t + g = 23*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (7 - 7) - (-5 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 5*h - 252 + 360, 5*h = -5*o - 105 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-3)\/(-1881)*3). Suppose -z = -3*z + 200. Let u = r - z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s + 3 = 42. Solve 8 = -j + s*k, 0 = -3*j - k - 3 - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62 + 62.1. Let s = -5 + 5. Let q = -0.38 + 0.08. Which is the nearest to s?  (a) q  (b) -5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -244 - -344. Suppose -4*u - 49 + 129 = 0. Calculate the greatest common divisor of r and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12636229.\nAnswer: 12636229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -196082.9 less than 1.1?\nAnswer: 196084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + 5*c**2 + c + 2. Let z be f(5). Suppose -d - 15 = -o, 0 = -2*o - 3*d + 23 + z. Calculate the greatest common factor of 45 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1354456950.\nAnswer: 2, 3, 5, 7, 11, 117269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.347375 millilitres to litres.\nAnswer: 0.008347375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/44 - 79\/132. Let t = -16733\/260 - -257\/4. Let d = t + 4\/13. What is the biggest value in f, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (15\/(-40))\/((-3)\/6 + 1). Which is the third biggest value?  (a) -2\/3  (b) -0.5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3418, 7623, 13450, 21709, 33210, 48763, 69178?\nAnswer: 95265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 16*a - 17*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17743664 is divided by 548.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16093459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 44 - 8?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 6*i**3 - 24*i**2 + 7*i + 3. What is the tens digit of b(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -289*a**3 - 290.\nAnswer: -867*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 6, 4, -2, -7, -23 in increasing order.\nAnswer: -23, -7, -3, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = u. Suppose 5*y + d = 695, 2*y + u*y + 2*d = 278. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 725027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**3 + 5*d**3 - 2*d + 2*d**3 + d wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 17*a**2 + 12*a + 2. Let k(w) = 34*w**2 + 23*w + 5. Let t(c) = 7*f(c) - 3*k(c). Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.497854ug to kilograms.\nAnswer: 0.000000002497854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a**4\/2 + 75*a**3 + 852*a**2 - 54912*a = 0. Calculate a.\nAnswer: -26, 0, 32, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (165\/(-1210))\/(2\/(-4))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25076 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 6 = o. Let g(q) = -q**3 - q**2 + 2*q**3 + 0*q**3 + q. Let i(m) = -4*m**3 + m**2 - 3*m. What is o*i(x) + 3*g(x)?\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -1\/8, 12, 2.9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -9*o**3 - 72*o**2 - 15*o - 155. Calculate j(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -5. Calculate the remainder when (r - -4*7) + -1 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (76\/285)\/((-90)\/405)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19413179 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -d**2\/10 - 4*d\/5 + 33\/10 = 0.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 3*g + 211, 5*p - g = -2*g + 203. Solve -88 = 3*n + p*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6037479 is divided by 503123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -28, -41, -54, -67?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/1241089 and 41\/3832.\nAnswer: 9928712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.545 - 0.545. Let k = 2 + -2.1. What is the closest to k in -2\/11, 1, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 118 + 218127?\nAnswer: 218246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -6*b - 7. What is r(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -371*m**3 - 3*m**2 - m - 29. What is the units digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*k**2 + 23*k**2 + k**3 - 42*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78*w**3 - 4*w**3 + 83*w**3 - 990044 + 990020.\nAnswer: w**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + -79. Suppose -374*q - 3467 - 27949 = 0. Is b bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**4 + f**3 - f**2 + f - 1. Let j(v) = 8*v**4 + 83*v**3 - 83*v**2 + 6*v - 6. Let i(h) = j(h) - 6*z(h). Find the third derivative of i(k) wrt k.\nAnswer: 48*k + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12745166 * -27.\nAnswer: -344119482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100100100111011 + -10?\nAnswer: 10100100100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -8*r**3 + 3*r**2 + 3*r - 3. Let d(q) be the third derivative of 2*q**6\/15 - 7*q**5\/60 - 7*q**4\/24 + 7*q**3\/6 - 131*q**2. Determine 3*d(c) + 7*t(c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 28?  (a) 2\/15  (b) 3\/4  (c) 2  (d) 18146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 472047?\nAnswer: 3, 157349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5920 a factor of 842422003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -18474 (base 12) in base 13?\nAnswer: -13057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j + 9. Let u be p(0). Let q = 11 - 5. Let k = u - q. Solve k*w - w = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-60)\/(-9))\/((-1)\/(-135)). Suppose 7*d - z = 4*d. Suppose 2*g - d = -3*g. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l - 9. Let r be q(-12). Suppose 0 = -2*x + 5*x + 3*m + 24, r*x = -4*m - 26. Let n(k) be the second derivative of -k**3\/6 + k**2 + 8*k. Give n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/7)\/(s\/s**4))\/(s**(-5)*s*s*s*s**0) assuming s is positive.\nAnswer: s**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -275564 by -4.\nAnswer: 68891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 a factor of 380508213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2381329*r**4 - 1528148.\nAnswer: -9525316*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-310)\/70 + 6\/14. Suppose -5*g - 5*b = 60, -g - 2*g - 20 = -b. Let u = 5 + g. Put u, m, 1 in increasing order.\nAnswer: m, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*h + 11464 = -8517. Suppose h*p - 683*p = 60. Solve -5*i + 5 = p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(0 - (-4)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.102 - 46.898. Let j = y + 51. Let k = -0.34 - -0.04. Sort k, 5, j in decreasing order.\nAnswer: 5, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = r + 3*k, 2*r + 2*r - 2*k = -6. Let o be r\/(10\/(-624))*(-390)\/117. Find the second derivative of -o*c - c**2 + 205*c - 20*c**2 wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/92 - (-1740554)\/25162?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.6244 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + s**2 - s. Let h(n) = n**4 + 11*n**2 - n - 8. Suppose 15*f - 40 = 11*f. Let j(k) = f*a(k) - 2*h(k). Factor j(r).\nAnswer: -2*(r - 2)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -9 + -15 - 24 - -49\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21\/(1470\/56) - (-2 - 251\/5) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q + 248 - 248.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43157 + -4192. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - k**2 + k. Let i(j) = -2014*j**3 - 2*j - 667. Let d(v) = i(v) + 2*n(v). What is the third derivative of d(f) wrt f?\nAnswer: -12072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 3*k - 42, -2*k - 25 = -4*k + j. What is the remainder when 62 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -73069 not equal to 285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**3 - 6*j**2 + 4*j - 1. Suppose 0 = -2*k + 12 - 4. Suppose 4 + 44 = 2*s. Calculate the remainder when t(k) is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + -1)*2\/(-4). What is the second derivative of 9*p**t - 6 - 1 - 5*p + 13 wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*8 - (-206 - (-605484)\/2728)?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*t + 195 = 20*t. Let o(r) = -23*r**3 - r**2. Let m be o(1). Let i = t + m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 2:58 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 78432 and 1174846.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(-10))\/(4\/(-25)). Let x = 3\/8 - c. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((6 - 10) + (-4 - (1 + 3)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 4. Let q = -70 + 69.3. Let u = h - q. What is the biggest value in u, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -14*2\/(-3)*1380\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/30 and -61\/2577?\nAnswer: 25770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*p**2 + 0*p**2 - 2*p**2)*(5 - 2 - 4)*(-3*p**2 - 2*p**2 + 3*p**2) as c*p**3 + b*p + l*p**4 + n + o*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 e when four letters picked without replacement from dqdzqqqeeed.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58200584?\nAnswer: 2, 13, 653, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7165321 and 2?\nAnswer: 7165323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 2*d = -10. Suppose 12 = 4*j, 0*n + 2*n - 47 = -d*j. Suppose 0 = -5*g + 4*g + n. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8*105\/(-240))\/((-4)\/(88\/33))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6595, 13211, 19827?\nAnswer: 26443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of x**6\/120 - x**5\/12 + 5*x**4\/24 - x**3\/3 - 10*x**2. Give n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1230156253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -77, -82, -87, -92, -97?\n\"Answer: -5*f - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 84*q**3 + 21*q**2 - 21*q + 36. Let h(d) = 17*d**3 + 4*d**2 - 4*d + 7. Determine 21*h(c) - 4*u(c).\nAnswer: 21*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dvn when three letters picked without replacement from {s: 1, d: 3, r: 6, v: 2, n: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (43 + -43)) + (1 - -31)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 9*s - 2. Let r be z(4). Let g = 36 - r. Suppose 0 + 14 = g*a. Calculate the least common multiple of a and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 1:54 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -20*f - 3. Suppose 5*d = -v - 12, 3*d = -2*d - 4*v - 18. What is the units digit of a(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 48\/17 - 726\/(-4114). Solve -3*y = 3*l + 15, -2*l + y - q = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.38 + 71.62. Let m = 78 - s. Let g = 8 - 8.3. What is the nearest to -0.1 in -2, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/(-2))\/((-15)\/10). Let q(d) = 1. Let r(u) = u**2 + 7*u + 4. Let m(a) = w*r(a) - 5*q(a). Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 5*f - 21 = 0, 0*i - 5*i = 5*f - 15. Let d be (i + -6)\/(3\/(-3)). Suppose -d*r + 324 = -2*r. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145813 divided by 1?\nAnswer: 145813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 20*y - 6. Let m(s) = 10*s - 3. Give 4*g(i) - 7*m(i).\nAnswer: 10*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mymyllmdlu. What is prob of picking 3 l and 1 d?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 3*p, 0 = 5*h - 2*p + 4*p - 7. Let d be 3 + -3 + -1 + 21. Suppose -h*l = -d - 28. Calculate the highest common divisor of 40 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*u + 5 - 3 + 36*u + 3 wrt u?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -5*n**2 + 3. Suppose c = -h + 39, 0 = h - 3*h - 2. Let z = c - 37. Suppose z*a + 2*a = 15. Let x(q) = -4*q**2 + 3. Give a*p(m) - 4*x(m).\nAnswer: m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**13\/(i\/i**0))\/(i**9)**(-9) assuming i is positive.\nAnswer: i**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -39, -90, -183, -324, -519, -774, -1095?\n\"Answer: -p**3 - 15*p**2 + p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ytmm when four letters picked without replacement from {m: 7, y: 2, t: 6}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-16) - 3\/(-12). Let i be -2 - (2 - (u + 0)). Let d be (4 + -4)\/(i + 1). Solve 2*y = 3*j - 18, d = 2*j + 2*y - 3*y - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - q + 6 = q, -2 = 2*q - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - k + 89. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + 48*v**2 - 4050*v - 172. Determine y(-92).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**5 - 2*v**5 + 0*v**5 + (v**4 + 3*v**4 - 13*v**4)*(-3 + 6*v + 3).\nAnswer: -55*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -45544 (base 6) to base 5\nAnswer: -201342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24478 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39323*f - 39323*f + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 62*m - 2411. Determine i(-89).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2788 - 8515\/3. Which is smaller: l or -50?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -11*w**3 - w. Suppose 4*u = 5*g - 14, 2*u - u + 3*g - 5 = 0. What is the tens digit of r(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 186 = -5*x + 6*f, -2*x + f = -69. What is the least common multiple of x and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/2, 0.06, -71, -331\/8, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 AM and 8:43 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 222*i + 1987. What is j(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**2 - y - 28. What is the hundreds digit of t(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (370\/(-35))\/(4\/(-6)). Let t = -1013\/63 + q. Let i = 0 + 0.1. Which is the nearest to i?  (a) t  (b) -0.4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 (base 6) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(3 + (-147)\/48). Suppose 0 = -s + r + 7. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 - 41.5\nAnswer: -42.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r - 20. Let m(a) = 16*a - 110. Let j(p) = 4*m(p) - 22*v(p). Let k(z) = -724*z**2. Determine k(j(n)).\nAnswer: -2896*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1841607 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) 13  (c) -1\/9  (d) -331  (e) 4  (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(7\/2 - 3). Let w = 2 - o. Calculate the smallest common multiple of w and 1\/(-3) - 20\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 10*c + 5. Calculate o(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -1\/4, -0.13, -1\/7?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tjj when three letters picked without replacement from {m: 2, f: 6, h: 3, d: 3, j: 4, t: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.559 * -0.5337\nAnswer: 0.2983383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**2 + 1250*t + 7536 = 0. What is t?\nAnswer: -6, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/12)\/((-172)\/(-11008))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7597992 divided by -2.\nAnswer: 3798996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1029041848 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1211002 (base 3) in base 5?\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 451510.8 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}