diff --git "a/data/dm_maths/full_data_1/11181_11255.jsonl" "b/data/dm_maths/full_data_1/11181_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11181_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the tenth root of 6627 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24473504 divided by 5522.\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (-7 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -54\nAnswer: 7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03940002 to four decimal places.\nAnswer: 0.0394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177011?\nAnswer: 3, 11, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v**3 + 0*v)*(2*v - 2317*v**2 - 11*v - 3 + 91*v**2 + 5*v).\nAnswer: 4452*v**5 + 8*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 5. Let i(j) = -12*j + 12. Let x(m) = 8*g(m) + 3*i(m). Let b(p) = -9 + 0*p + 3 + 6*p. What is 5*b(l) - 7*x(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 305*-20.8584\nAnswer: -6361.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/177, 3, -1\/6.\nAnswer: -1\/6, 1\/177, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94294288 and 704?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -12*p**2 - 2*p - 5. Let t be k(0). Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3002, 0, -0.5, 1\/7, 5.733 in increasing order.\nAnswer: -0.5, -0.3002, 0, 1\/7, 5.733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1216, 2382, 3560, 4756, 5976, 7226, 8512, 9840?\nAnswer: 11216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*g - 1. Let i(h) = -169*h - 4. What is the remainder when i(g) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (16 - ((-11 - -6) + 12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 23143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71.5 * -0.5.\nAnswer: -35.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfff when four letters picked without replacement from fxxffxxfffxfffxxxxf?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109801682\/1170367 + 2\/106397. Let u = 94 - g. Let a = -14 + 13. What is the smallest value in a, 0.1, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 1 + z**2 - z**3 + z + 5*z. Let x(c) = c**2 + c - 11. Calculate the smallest common multiple of x(4) and h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-9) + 10\/45. Suppose -l - 2*y = -a*l - 15, -3*l = -3*y. Suppose -108 + 18 = -l*d. Solve r = 4*q + d, -q + 6*r + 5 = r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from hhxfhxfhfxxffhfxxhh?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 19*p**6\/10 + 33*p**4\/4 - 301*p. Find the third derivative of b(d) wrt d.\nAnswer: 1368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 672207 + -265?\nAnswer: 671722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 8. Let t(a) be the second derivative of a**3\/2 - 8*a**2 + 8776*a. Determine 5*j(b) + 2*t(b).\nAnswer: b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14508 and 3518892?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6410 - -5?\nAnswer: -6405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -686 - -686. Sort 39, 5, s, -1 in ascending order.\nAnswer: -1, s, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/32 and -103\/6920?\nAnswer: 27680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8799 = -290*z + 18*z - 147*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6*r. Suppose r*y = -2*y. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 + 12*h**2 - 11*h = 0. Calculate h.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a**2. Let u be 2\/(-4) + (-7)\/(-2). Suppose y + 21 = 4*m, -y - 2*y = u. Let j(i) = -2990 + 2990 + m*i. What is j(p(h))?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b - 1\/6*b**3 + 1\/60*b**5 - 1\/24*b**4 + 0 + 1\/20*b**6 + 2*b**2. Let i(l) = -11*l + 65. Let a be i(6). What is m(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7887031.100046 - -7886937.1. Let i = -94 - r. Round i to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6942 (b) -2\/15 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179587 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 8. Suppose 3*h + 22 = 43. Determine z(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.125084l?\nAnswer: 125.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/4677 and -71\/104.\nAnswer: 486408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57443*g**3*l + g**2 - 1046805*l + 2 wrt g.\nAnswer: 172329*g**2*l + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*n + 3*c + 10 = 0, 0 = -5*n - 2*c + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 10) in base 11?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/4)\/(m*m**(-26)\/m*m)*(m\/(m*m*m**9*m*m*m))**6 assuming m is positive.\nAnswer: m**(-209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1927170?\nAnswer: 2, 3, 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-16)*(160\/(-132))\/5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1807*u - 67*u - 717*u + 164910 = -201*u for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 1980?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 10*p**2 - 32*p - 43. Let n be c(-6). Let x be 182\/(-9) - (-2)\/9. Does 25 divide n\/x - (-901)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + (sqrt(13) + sqrt(13) + -2 + sqrt(13) - sqrt(13)) + -5)**2*-1.\nAnswer: -257 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73a9 - -12?\nAnswer: 73bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6460 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 7*h + 5)*(4*h - 5*h - 21*h + 0*h + 0*h - h + (2*h + 3 - 3)*(-2 - 2 + 5) + 15*h - 30*h + 30 + 13*h) to i*h + z + d*h**2 and give i.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*a = 260, 4*g - 8*a + 12*a = -208. Calculate the remainder when 96 is divided by (g\/5)\/(160\/(-25) + 6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 23*q**2 - 709*q\/6 + 143.\nAnswer: (q - 3)*(q - 2)*(q + 143)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/5 + 17*l**4\/24 + 4*l**3\/3 - 16*l**2 + 6*l. Let o(q) = 3*q**2 + 4*q + 2. What is -9*o(d) + 2*u(d)?\nAnswer: -3*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-564)\/216 + ((-20)\/4)\/(-10)*0 and -107\/3714.\nAnswer: 11142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 40, 34, -4, -86, -224, -430?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2616104 + 364?\nAnswer: -2615410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 82*w + 7787. Give o(-95).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -151*r**3\/3 - 1671*r**2\/2 - 302*r + 1. Differentiate i(b) wrt b.\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4488 by -7.\nAnswer: -4488\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -79004000 divided by 493775\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**4 - 3*v**4 - 2*v**4 + (19 + 1 - 7)*(2*v**3 - 23*v**4 - 2*v**3) + (v - v - 2*v)*(0*v**3 + v**3 + 0*v**3).\nAnswer: -300*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 21 - 4*k**2 + 12*k + 33*k**3 - 65*k**3 + 33*k**3. What are the prime factors of g(8)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 42498*s**2 - 26*s - 79646*s**2 + 39796*s**2 wrt s?\nAnswer: 5296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 - -110. Is 73\/3 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*y - 20, 1 + 24 = 4*x + 5*y. Solve i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 divided by -421?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011000101 (base 2) in base 6?\nAnswer: -5353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 y when three letters picked without replacement from ddvyvyvdyyv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*x - 7. Calculate the smallest common multiple of x and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*156\/208. Put -0.5, 2, d in ascending order.\nAnswer: -0.5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 215, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 7 (b) -348887 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 488.9 - 489. What is the nearest to r in -1\/9, 266, -0.3, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**2 + 3*i + 49. What is u(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 plus -0.02227622018?\nAnswer: -0.24227622018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) -0.1 (b) -14 (c) -3 (d) -694\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2076 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 8. Let t be u(5). Solve -t*j + 2*g - 6 = -2*g, -4*j - g = -24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Suppose -r = b*u - 290, -172 = -3*u + r + 2. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, d: 9, j: 4}. Give prob of picking 1 j and 1 d.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1753 - 2813 = 53*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1564920 and -7\/4140.\nAnswer: 1564920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3697 - 3696.92364. Let i = r - 0.078. What is i rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Let h = 62 - -132. Let n = h - 1360\/7. Which is the third biggest value? (a) n (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/11)\/k)\/(k*(k\/(k*k*k\/(k\/k**6)*k))\/k))\/(k*k\/(k\/(k*k\/k**0))*k**1\/k*k*k*k) assuming k is positive.\nAnswer: k**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1061984*x**2 - 8*x - 1. Let y(q) = -707989*q**2 - 5*q - 1. Let c(n) = -5*p(n) + 7*y(n). Let s be c(1). Round s to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29 + 2)*(2 + 0). Let x = 103 + u. Suppose 311 = -4*m + 605 - 358, 0 = -4*q - 4*m - 52. Solve -4*c = -q*d - 11, 4*d = -4*c + x - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -14*q - 111. Let b(f) = -f - 71. Let p be (-1)\/(-3) - 14\/6. Let u(m) = p*b(m) + 11*z(m). What is u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 10. What is the remainder when 27 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/24*40 - ((-323)\/57 + 6).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 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: Round -72940 to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -255, -274, -335, -462, -679, -1010?\n\"Answer: -4*a**3 + 3*a**2 - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/10 + ((-14)\/(-4) - 3). Let a be (-1)\/i*2\/8. Find v, given that -1\/4*v**3 - a*v**2 + 0 + 0*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)\/sqrt(4)*-6)**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.0636cm to kilometers.\nAnswer: 0.000620636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211\/2 or 27\/5?\nAnswer: -211\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b**2 + 4*b. Let g(t) = -363*t. Determine j(g(k)).\nAnswer: 1185921*k**2 - 1452*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/10)\/((-3)\/4). Suppose 0 = -3*h - u - 13, 0 = -2*h - 5*u - 0 - 26. Let x = k + h. Solve x*g - 7 = 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 36*l**2 + 12*l - 42. Let d be f(20). Let r = d + -1127. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 7*f + 16 = 0. Suppose -6*a + f*a - 428 = x, -4*x = 5*a + 1734. Which is bigger: -437 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 5. Let u be z(0). Suppose 2 = -3*s + u. Suppose 4*x + 3 = -3*r + 13, 0 = -x + 2*r + 8. Sort s, x, 2 in decreasing order.\nAnswer: x, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -180171*y + 5405128. Determine z(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*y + 31 = 2*c, 3*c + y - 7 = 0. Let o(b) be the first derivative of -1\/4*b**2 + b - 1\/3*b**3 + 1\/8*b**c + 3. Determine g so that o(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (190\/(-4180))\/((-1)\/(-6))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 761490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 3. Let k be d(-5). Let c(t) = -10*t + t**2 + 5*t + k*t + 7*t + 1. Does 22 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 + 1 - 43)*(1 - 2) is divided by (-2)\/(-5) + (-78)\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2203140 (base 7) to base 5.\nAnswer: 32120033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15 + 9 = 0. Let j(h) = -h + 7. Let x be j(p). Is (-6)\/(-9)*141 + x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**11\/(y\/(y\/((y*y**(10\/9))\/y)))**50 assuming y is positive.\nAnswer: y**(-896\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 13276352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 2*g + 0*g)*(14*g - 12*g + 38*g)*(2 + 4 - 4) to a*g**2 + s*g + q and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -7. Let m = -1.22 - -1.1. Let z = -0.52 - m. What is the closest to s in -2\/13, 1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m - 2. List the prime factors of l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from aalpptbaalbtpamtall.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*q + 42 + 13, 0 = 4*y + 3*q - 47. Let u(z) = -z**2 + 10*z - 14. Let x be u(y). Sort x, 3, -2.\nAnswer: -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 2*o**2. Let w be q(-2). Let s = w + 4. Let x be ((-1)\/(-2))\/(s\/24). What is x rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2130311302 (base 5) to base 16\nAnswer: 454c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -695321 (base 10) to base 8.\nAnswer: -2516031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 12207 + r**2 - 2*r**3 + 12207.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 21 + 45 = 0. Let l(k) = 3*k**2 - 6*k. Give l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t - 142. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 59*x = 2450. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n - 72*n = 484 + 516 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2747855, -5, 4, 3 in ascending order.\nAnswer: -5, -4, 3, 4, 2747855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - ((sqrt(28) - 3*sqrt(448)) + sqrt(28)))\/sqrt(324).\nAnswer: 11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122111200032 (base 4) to base 3.\nAnswer: 110222202021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 498 divided by -249\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-14)\/(-304))*(-2)\/4. Let k = 80 - j. Solve -v - 2*r + 6 = -3*v, -5*v = k*r - 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110) + sqrt(110)*-2*3 + sqrt(110))\/(sqrt(1210)*2))**2 - (sqrt(44) + sqrt(1584) + -2*sqrt(1584))\/(sqrt(4)*-1*6 + sqrt(4)).\nAnswer: -sqrt(11) + 9\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*y - 35, y - 4*y - 15 = 0. Suppose -3*f - 3 = -b*f. Put -4, -2, f in ascending order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p = 348 - 90 + 837 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 36. Let a = -36 + q. Calculate the remainder when 5 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n - 12. What is the highest common factor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 160?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 973467587 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m + 0*m)*(-1 - 2 + 1)*(2*m + 2 - 2) + (-2*m - 1 + 1)*(-m + 4*m - 10*m) - 25*m + 25*m - 63*m**2.\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - a2a?\nAnswer: -a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2\/3 + 59*w - 3542\/3 = 0.\nAnswer: 23, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(4 - (4172\/148)\/7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -18.1. Round i to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a**3 - 1\/8*a**4 - 1\/240*a**5 - 3*a**2 + 0 + 9*a. Solve f(s) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 234 = -z, 5*p = -2*z + 3*z + 591. Suppose -104 = -4*n - 36. What is the greatest common divisor of p and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1820 and -79\/10.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.9294 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let q be w(4). Let z(b) = 44*b - 6. Let u be z(q). Round u to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-27)\/(-1386)*((-681)\/45 - -6) and 61\/14.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125361220 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46, 101, 156, 211, 266?\n\"Answer: 55*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1881, -4, -5, 31, -1 in descending order.\nAnswer: 31, -1, -4, -5, -1881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5719673\/16 + -357643. Which is smaller: -163 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*v**2 - 651*v - 383*v**2 + 663*v to z*v**2 + b + j*v and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-2) + 1 + -3. Let z(m) = -m**3 + 8*m**2 + 3*m - 2. Let j be z(b). Let u = j - -225\/4. What is the third smallest value in -2, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 127. Let s = 401\/3 - h. Calculate the common denominator of s and 27\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-6 - (-11 + 4)) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -26244 - 2916*v - 108*v**2 - 4\/3*v**3 = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/14*3)\/(-9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6067 + 56663 = -145*s - 411*s for s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.0396, -3, 0.5, -7 in ascending order.\nAnswer: -7, -5, -3, 0.0396, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) -1 (b) 0.2 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3174 divided by -1058.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.5 - -9.46675. What is x rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:19 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(5\/17) + (-9)\/(-15). Let f(y) = -4*y + 41. Calculate the remainder when f(p) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + q - 224 = 0, -3*x = -4*q - 588 + 458. Suppose z = j - 9, 0*z - 5*z + 25 = 2*j. Suppose -4*v + x = j. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/3)\/j)\/(j**(-1\/19)\/j))\/(j\/j**(-2\/25)*j*j**(1\/2)) assuming j is positive.\nAnswer: j**(-11953\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 c when four letters picked without replacement from qqqqccqcqqcqqqqcqqc?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2)*n*n*n)**(-1)*(n**(-3\/8))**20)**2 assuming n is positive.\nAnswer: n**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 13 - 1, 4*g - 24 = -i. Solve 2*h - 1 = g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r\/(r*r*r*r\/(r**(-8)\/r)*r)))**(-3\/19) assuming r is positive.\nAnswer: r**(-33\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(245) + sqrt(245) + 0)**2 - (sqrt(245) + (sqrt(245) + 3 - sqrt(245)) + 2)**2.\nAnswer: -42*sqrt(5) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -60.02. Let i = -60.03 - k. Is i greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/26293 and -59\/2.\nAnswer: 52586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 11. Let l be (4\/(-8))\/(2 - j). Let k = -0.1 + -0.1. Which is the second smallest value? (a) k (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 5. Let b be 6 + c + 1 + 1. Solve -2*j = -b*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 3*m**2 + 3*m**2 + 2*m + 2*m**4 - 4*m**2 + 2*m**3 to the form w*m**3 + b*m**4 + i*m + r + l*m**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-2\/7)*m))\/m*m*m*m)**(20\/7))**(-2\/11)\/((m*m*m\/(m*m**(-1\/8))*m)\/m**(-7)*(m*m*m**(1\/2)*m*m)\/(m*m**(1\/4))) assuming m is positive.\nAnswer: m**(-62793\/4312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -6188 and -6190 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6489.5072 - 0.43616.\nAnswer: -6489.94336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*b - 9*b**3 - 64*b + (-3*b + b - 4*b)*(0 + 0 - b**2) + (-2 + 2*b + 2)*(0*b**2 - 3*b**2 + b**2) + 2*b**3 - 2*b + 2*b.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*t - 256*t - o + 22 = 0, 0 = 2*t - o + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7)*(328\/6 + -15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1900849679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*z + 2*z. Suppose 6*i - 20 - 10 = z. Suppose x = -k - 3*x - 1, i*x = -5. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 2 + 8*m + 3*m**3 + 34*m**2 - 8*m - 2*m + m**4 to the form q*m**2 + i + l*m**3 + b*m**4 + w*m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -14. Suppose -5*b = u*s - 84, 3*s = 4*b - 2*s - 87. What is the greatest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133553 = 78*q - 269693 - 461184. Is q a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l)*(-2 + 3 + 2).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.78 - -1.18. What is the fourth biggest value in -7, a, 1, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -8)*(-77)\/(-33). What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263485 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -13 (c) -0.3 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3 - (-3)\/(-3))*6. Let l be -6*68 - (-2 - -1). Is (-3)\/6 - l\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:56 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -473769128.8 rounded to the nearest one hundred thousand?\nAnswer: -473800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(720) + -4 - sqrt(720)) + sqrt(720) + 3*(sqrt(720) + 0 - sqrt(720))) + 1.\nAnswer: -180*sqrt(5) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 4, 1, -2, 0 in decreasing order.\nAnswer: 82, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 6*o - 13 - 20*o. What is the units digit of x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/120 - l**5\/20 + l**4\/4 - l**3\/6 - 4*l**2. Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -67.87. Let n = g - -1.87. Let h = 0.2 + -1.2. Which is the biggest value? (a) h (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by 89?\nAnswer: 450\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(4\/40). Suppose -5*h - 3*h = -m*h. Let r(w) = -8*w + 119. Is r(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j - 268 = 0. Let k be (-4)\/(-16) - j\/(-4). Suppose 306 = -z + 3*z. What is the greatest common factor of z and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8456\/(-906))\/(-28))\/(3*((-553)\/(-18))\/(-7))\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/19, 104, 1\/3, 0?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 1. Let w(j) = 31745*j**2 - j - 8. Let y(s) = 6*f(s) + w(s). Let r be y(2). What is r rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -20*h + 4*h + 1201 - 1221. Let q(j) = j**2. What is q(w(f))?\nAnswer: 256*f**2 + 640*f + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1500481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4539*c - 1965 wrt c.\nAnswer: -4539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1752 = 13*x - 9*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 - 0.64. Let t(k) = -8*k + 13. Let g(s) = 23*s - 39. Let q(m) = -4*g(m) - 11*t(m). Let i be q(3). What is the second smallest value in i, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:36 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 202 + 0*s - s + s**2 + 202.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7260)\/4719*((-3)\/(-10))\/(9\/(-12))?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 - 122*m**2 + 2483*m**3 + 8*m - 19*m + 29 + 122*m**2 wrt m?\nAnswer: 14898*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**8\/3360 - o**7\/840 - o**4 - 5*o. Let p(r) be the third derivative of c(r). Find the third derivative of p(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/154551 and 103\/24.\nAnswer: 1236408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5*p + 1 - 19, 0 = -4*v - 2*p. Suppose -v*d = 60 - 222. Calculate the common denominator of 2\/2 + d\/10 and -113\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 944 - 301. Let m = o + -423. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 182, 23 in descending order.\nAnswer: 182, 23, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 14*w + 1171. Let z be a(-28). Sort -4, z, -3, 16.\nAnswer: z, -4, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/175 and 31\/924.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -6230, -1, 3, -2, 5, -4 in decreasing order.\nAnswer: 54, 5, 3, -1, -2, -4, -6230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - (-21)\/6. Let i(r) = -557*r + 1016*r - 1 - 461*r. Let m(j) = 3*j + 1. Give p*i(b) + 3*m(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - 0) - (-520 + 520).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117337615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37085 or -37087?\nAnswer: -37085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 6*r**2 + 2*r - 5. Let j be d(6). Let x(y) = y + j + 9*y + 4 - 3. What are the prime factors of x(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91418 is divided by 325?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2 - 2 + (4*s - s - 5*s)*(3 - 3 + 2))*(-2093 + 2093 + 2065*s).\nAnswer: -4130*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - 550*c**2 + 1659*c. Determine r(3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*i + 56, l = 4*l - 5*i - 128. Suppose 0 = l*o - 38*o + 480. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-7)\/(14\/(-32)). Suppose -n = -2*b + 29. Let a = b + -16. Solve a = -2*k + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*z + 3*b, -3 + 23 = -5*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29363 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l**3 + 0*l + 1\/5*l**4 + 0*l**2 + 0 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5994996*g**3 - 5*g**2 + 17*g - 16. Let s be u(1). Round s to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1312912 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:53 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9654 and 5442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwxxxddxxxxxxxdxxxxx. Give prob of sequence xd.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490433 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3170*f**2 + 18*f - 5. What is the thousands digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:40 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -30, -61, -94, -123, -142, -145, -126?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1883 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9768 and 67\/1036?\nAnswer: 68376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -77, 1\/9, 28, -0.2, 1\/7, -1\/12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 44 = -48. Suppose 1 = -3*g + d*g. Let a(u) = 7*u**3 + 2*u**2 + u. Calculate a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 1165, 2\/5, -13\/2.\nAnswer: -13\/2, -5, 0.3, 2\/5, 1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, e: 12}. What is prob of sequence ezze?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376592 is divided by 9185.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13920367.\nAnswer: 13920367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 3*p - 5. Let t(b) = -8*b**2 + 8*b - 14. Let n(x) = 4*t(x) - 11*u(x). Let w(o) = 5*o**2 - 2*o - 4. Let v = 8 - 7. Calculate v*w(f) - 3*n(f).\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o**3 + 207174*o**2 - 6490719*o + 2743686 = 0 for o.\nAnswer: 3\/7, 31, 9834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 468*m**2 + 3870*m - 7. Determine s(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281195 - 195053. List the prime factors of f.\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + w**2 - w**2 - w**3 - w**3 + 3*w**3 + (-3*w**3 - 2*w**2 + 2*w**2)*(-12 - 14 + 6) as a*w**2 + b*w**3 + k*w + o and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -65, -64, -63, -62?\n\"Answer: s - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13501*d = -13493*d + 112, 3*g + 11 = -4*d - 36 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/359 (c) 4\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948083079?\nAnswer: 3, 37, 8541289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 7\/(196\/2832). Suppose 3*r + 85 = 2*r - 3*b, 2*r + 185 = -3*b. Let n = t - r. Is n not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 46. Let r(y) = -7*y**2 - 8*y + 32. Let x(q) = 6*q**2 + 6*q - 24. Let n(j) = -3*r(j) - 4*x(j). Calculate u(n(p)).\nAnswer: -6*p**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1431*z + 2867*z - 1436*z + 0*z**3 + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -146*u - 13. Let t(a) = 291*a + 27. Let i(d) = 3*t(d) + 5*v(d). Let g be i(8). Let l be 1\/((-2)\/855)*g\/(-87). What is l rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1f1?\nAnswer: -1f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 1. Let c(p) = p + 1. Let y(b) = c(b) - k(b). Let n be y(2). Solve 0 = -3*r + 2*z - 10, -2*r - n = 2*z + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.060558\nAnswer: 0.0242232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 0)*(-46)\/69 - -5. Let n be -3 - -3 - -3 - -24. What is the highest common divisor of n and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -679639 (base 11) to base 14\nAnswer: -20220c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93\/28 + 20\/7. What is the common denominator of 3\/371 and k?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 + 7. Let m be j(7). Suppose -4*p - 13 = m, -4*i - p + 311 = 0. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(2448) - (-5 + (sqrt(2448) - (sqrt(2448) + 0) - sqrt(2448)))) + 5 + sqrt(2448) + -2)**2 + 1 + -2.\nAnswer: 576*sqrt(17) + 22094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 22. What is h(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q + 2*q - 11*q + 8*q**2 wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 502*s**3 + 11022*s**2 - 28602*s.\nAnswer: 2*s*(s - 227)*(s - 21)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265 and 35?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 742 and 90790.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 6*n - 5. Determine w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1032 - t**4 - 805*t**2 + 1032 + (-3*t + 3*t - 2*t)*(t**3 - 1 + 1).\nAnswer: -3*t**4 - 805*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 3893?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 32*v**2 - 22*v - 9. Let u be a(-10). What is the units digit of (u\/26)\/(1\/(-6) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4 + 13*i - 6*i - 8*i. Calculate s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108.000396 - -108. Round j to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678777761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 182*l**2 - 1780*l - 1600.\nAnswer: -2*(l + 1)*(l + 10)*(l + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 2. Suppose 36 = 7*r - 3*r. Let g(n) = -n + 27. Calculate the lowest common multiple of z(4) and g(r).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v - 320 = -42*v. Calculate the smallest common multiple of -2*(0\/(-2) - 8) and (63\/(-28))\/((-12)\/v).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102123 (base 4) to base 8\nAnswer: 12233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let u = o - 2. Differentiate -i + u + 2 - 5 + 4 wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -266926, -5, -14, 1 in ascending order.\nAnswer: -266926, -14, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzjzbjzzjjzbjbzzbjz.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/37 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232971671 to the nearest integer?\nAnswer: 15263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -116 and -1526\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k - 97. Let t be d(-11). Is (-5 + 5)\/(t\/(-2)) - -4871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52034?\nAnswer: 2, 26017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 24. Let p be k(-4). Let n be ((-3)\/(-12))\/((-1)\/p). Suppose -2*w = 8, w = -2*j + n*j - 71. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37393.3, 0.3, 12?\nAnswer: -37393.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkzzzzk. Give prob of sequence qq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(55)\/sqrt(5) + -4 - sqrt(275)*1))*6*4 + 3)**2.\nAnswer: 27072*sqrt(11) + 121257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -2 - -4)\/(-2). Solve p = -4*v + 2*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 166864*d\/3 + 55621.\nAnswer: (d - 166863)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 176824 divided by -92\nAnswer: -1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 0*g**3 + g**3 + (2*g + 3*g - 50*g)*(-4*g**2 + 3*g**2 - g**2) + 2*g**3 + 3 - 3.\nAnswer: 91*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46188640 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -31*r**2 - 5 - 2*r + 16*r**2 + 23*r**2. What is the tens digit of p(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 6. Let c be n(-6). Suppose i = -2*i - 5*s + 317, c = 4*i - 2*s - 414. Suppose 4*l + 2*m = i, -m + 5*m = -l + 26. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -3*s, 13 = -2*l + 3*s + 16. Suppose 3*y + 5*t - 134675 = 0, -l*y + 8*y = 2*t + 89810. Round y to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83749 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -184 > -210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - sqrt(162)*-1)\/sqrt(6) + (sqrt(192)\/sqrt(100))**2.\nAnswer: 48\/25 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 11*a - 7. Let t be j(10). Is t\/(6\/(-58))*-11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4375, 8758, 13139, 17518?\n\"Answer: -c**2 + 4386*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20471 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48227 + 82*k + 161*k - 48229 - 48228 + 144684.\nAnswer: 243*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3105 and 51520.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5155144 + -3141?\nAnswer: -5202325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + 5*s - 1. Let l(x) = -349*x + 1954. Let w be l(6). Let y(f) = -26*f - 4. Let r be y(5). Let o = w - r. What is h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 23310864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/23))**(10\/9) assuming c is positive.\nAnswer: c**(10\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(325) - (1 + sqrt(325)))**2*4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 113264 plus 2552769202?\nAnswer: 2552882466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/22 (b) -0.11 (c) 12.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k + 3. Let g be 1*(35 + 0)*k. Let b be (-4)\/g + 2\/(-5). Is 1\/2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -18 (b) -0.1 (c) -1\/3 (d) -1\/4 (e) -5\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109691, 219382, 329075, 438770, 548467, 658166?\nAnswer: 767867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 27. Let t = -32 - -33. What is the biggest value in a, t, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 47?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:28 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*c**2*m**3 - 4*c*m**3 + c*m**2 wrt c?\nAnswer: 178*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 6. Let j = g + -8. Sort j, -5, 0.3 in ascending order.\nAnswer: -5, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u - 6. Let d = u + 7. Let g(c) = -c**2 + 24*c + 16235. Let w be g(-116). Sort w, d, -2, 3 in descending order.\nAnswer: d, 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 380 - 344. Calculate the highest common factor of 90 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 2*(132\/34)\/2. Which is the third biggest value? (a) 32 (b) 2\/15 (c) r (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -15 - (-17 + (10 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97060 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -54*v - 66. Let j be (-14)\/(-3)*(-9)\/6. List the prime factors of f(j).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540.811 kilometers in nanometers?\nAnswer: 3540811000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3130746, 3130747, 3130748, 3130749, 3130750?\nAnswer: 3130751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-35)\/21 - (-598)\/3. Let a = 1195\/6 - q. Find v, given that 1\/3*v**2 - 1\/2*v**4 + a + 1\/2*v - 1\/6*v**5 - 1\/3*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + -2 + sqrt(13) + -3 + 4.\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (13 - 0)) + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 + 2*u**2 - 10. Let c(g) = -6*g**3 + 4*g**2 - 21. Let b be 2\/(-9) - (-896)\/144. Give b*c(a) - 13*x(a).\nAnswer: 3*a**3 - 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 161, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**2 + h**2 - 2*h**2)*(34 - 15 + 50) + (5 - 1 + 1)*(2*h**2 - 3*h**2 + 3*h**2) as x*h + q*h**2 + w and give q.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 2, 3, -259 in decreasing order.\nAnswer: 5, 3, 2, -4, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 172347 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 2 - 64 = 0. Let a = r + 11. Is a greater than or equal to -12\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*h**2 - 5332*h + 1140.\nAnswer: 4*(h - 95)*(14*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose -15*p + 6129 = 12*p. Let r(c) = -2*c**b + p - 227. Let k(a) = -7*a**2. What is k(r(l))?\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241\/3 + -1696\/21. Let c be 891\/(-243)*1\/(-11). What is the fourth biggest value in 2\/19, l, -0.1, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2674*y - 2670*y - 5*q, 0 = -3*y - 2*q - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-28))\/(9\/(-24)). Let c = 19 - 17. Let d be (c\/3)\/(3\/72). What is the greatest common divisor of o and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 1 + (sqrt(76)\/(sqrt(8)\/sqrt(2)))**2.\nAnswer: 20 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 8. Let a be d(-8). Suppose -2*g - 2*g = a. Let z(c) = c + 13. List the prime factors of z(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/11)*j*j\/j**(-10)*(j\/j**(1\/7))\/j*j**(-1\/5) assuming j is positive.\nAnswer: j**(4943\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1813 + -1808. Let a(w) = -w**3 + 4*w**2 + 3*w + 4. Give a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 q when four letters picked without replacement from qqqyqqqyqqyqyy.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6568290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 11. Suppose 0 = 5*d + 34 + l. Let f = d + 12. What is the closest to 2\/5 in f, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 l when four letters picked without replacement from mlmmmmbrlbmlmllbmb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -0.0378?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - 4*a - 4. What is y(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*s**3 - 166*s**3 + 206*s**3 - 181*s**3.\nAnswer: -322*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9*t = 0. Suppose t = -a - 3*a + 8. Is (a\/(-3))\/((-9)\/((-25245)\/(-10))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 - -257. Let m = 126 - y. Solve -2*z - 2*x - 2*x + 14 = 0, -m*x = -z + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + 12 + -2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265625\/18 - -14750. Find the common denominator of ((-54)\/16)\/((-630)\/(-600)) and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(-6*sqrt(88))\/sqrt(8).\nAnswer: -5 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1019137 rounded to four dps?\nAnswer: -0.1019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1056556034?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11 = 4*g - 27, -3*g = 0. Let l be 2 - (2 + m + 3). Let r(u) = -5*u + 9 - 9. What is r(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 43. What is the highest common divisor of 35 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ec4f (base 16) to base 7.\nAnswer: -341241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + z + 0 + (-z + 0*z + 0*z)*(0 - 4 + 1)*(-2 - 1 + 1) + (-z + 3*z + 0*z)*(-1 + 1 - 4) - 3*z + 8*z + z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-20)*(0 + 25). Suppose -h + 5*j - i = 0, -2*h = -4*j + 1 + 1. Solve h*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - w - 18 = 0, -5*z + 4*w - 12 = -10*z. What is the closest to -5\/16 in -0.6, z, 7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 2 y when four letters picked without replacement from {v: 1, s: 5, c: 3, x: 1, o: 1, y: 3}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4960, -30565, -73240, -132985, -209800, -303685?\n\"Answer: -8535*i**2 + 3575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -131322, -525209, -1181664, -2100687, -3282278?\n\"Answer: -131284*c**2 - 35*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 329012.31 rounded to the nearest one thousand?\nAnswer: 329000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**2 + 24*u + 6. Let k(t) = 5*t**2 + 12*t + 3. Let v(h) = 11*k(h) - 6*r(h). List the prime factors of v(16).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 36, 41, 26, -15, -88, -199, -354?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**3 + 1124920*w**2 + 52727250238*w + 35151000196.\nAnswer: 2*(w + 93743)**2*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*33.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 43626?\nAnswer: 2704812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 2*y**2 - y + (0*y + 3*y - 2*y)*(0 + 0 + 2*y) + 880 - 4127 - 1188 + 7*y**2 - 5*y**2.\nAnswer: 6*y**2 - 4435","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 4103312400?\nAnswer: -4103312403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771908805?\nAnswer: 3, 5, 29, 71, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*t = -207, 285 = 3*w + 2*t - 3*t. Suppose -w = -j + 3*j. Let k = -11 - j. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 7*c + 0*c**3 + c**2 + 0*c**5 - 1\/30*c**6 + 0 + 0*c**4. What is the derivative of s(b) wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -5.1616?\nAnswer: -25.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 5*h = 10, -40*h - 29 = -m - 42*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3503 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7769*y**3 + 7776*y**3 - 31089*y**3 + 7768*y**3 + 7775*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*2)\/(2*sqrt(1331)).\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142722 + -81872. List the prime factors of y.\nAnswer: 2, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000672 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6066 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/44*(0 - (-2)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82275a + -1?\nAnswer: 822759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f - 95*f - 1465 = 2519 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34702 rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 9*m**2 + 9*m - 10. Let o be s(-10). Suppose 0 = -i - o*i + 366. Let w = 3298\/9 - i. What is the nearest to -0.2 in w, -5, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 10:30 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26.88 and 2.\nAnswer: -24.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 446149 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86871 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -766, -1640, -2864, -4438, -6362?\nAnswer: -8636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h**5 - 22*h**4\/5 + 1702*h**3\/5 + 1846*h**2\/5 + 108*h\/5 - 144\/5 = 0. What is h?\nAnswer: -3, -1, -2\/5, 3\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f - 1488 + 1760 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000116 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.1 (b) -0.2 (c) -229712\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 31*b - 19*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3213784.\nAnswer: 2, 7, 57389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148471\/8865 - -1163\/197. Let z = -1006\/99 + 680\/33. Let l = z + g. Put -2, l, 5 in decreasing order.\nAnswer: 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786144 divided by 13?\nAnswer: 1786144\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.71 - 28.8. Let h = 0.04 + i. Let j = h - -0.05. Which is the third smallest value? (a) -0.3 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9395865326 to the power of 1\/3, to the nearest integer?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.093+-24941491882\nAnswer: -24941491881.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13354, 26711, 40068?\n\"Answer: 13357*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44462 + 77947. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffddffddff. What is prob of picking 2 d and 1 f?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/13 (b) 1\/4 (c) -1324 (d) -0.3 (e) 0.6 (f) -0.1 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -204*r**2 - 11*r + 11. Let b(k) = -41*k**2 - 2*k + 2. Calculate -11*b(u) + 2*n(u).\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 4*z**2 - 3*z**2)*((3*z**2 + 5*z**2 - 6*z**2)*(2 + 2*z - 2) - 29*z**3 - 179*z**3 - 2*z**3).\nAnswer: 412*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, w: 2, c: 4, t: 8}. What is prob of sequence kcw?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j - 8*j + 457*j**3 - 5*j - 9*j.\nAnswer: 457*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 1382*r - 1370*r. Calculate the lowest common multiple of r and 925.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 5\/12*d**4 + 3*d - 13\/2*d**2 + 0 + 0*d**3. Let l(k) be the first derivative of g(k). Let t(q) = 3*q. Calculate l(t(c)).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 926 - 929. Let m = 7 + -8. Which is the third biggest value? (a) m (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m - 1011 = 10*m + 4110*v - 4113*v, -54 = 4*m + 2*v for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/18 - 3)*(-6)\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -81. Suppose -5*h - r*a = -4, 4*h + 5*a = 1 - 3. What is the derivative of m**2 + 0*m**2 + m**h - 27 + 13*m**2 wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43024716 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3, -4.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/2)*f*f*f\/(f**8\/f)*f*f*f\/(f**4*f)*f*f**(4\/5) assuming f is positive.\nAnswer: f**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 357.26 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3360*r - 3304 = 3346*r. What is the remainder when 665 is divided by r?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - (-2 - 1*4) is divided by (-10)\/40 - 13\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.72 take away -1.219?\nAnswer: -18.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -2 - 5)\/(-1). Let v be 2\/(-4)*2 - (-4)\/h. Let l(g) = 2 - 4*g + v*g + 4*g - g. Calculate l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/98*-7)\/((-54)\/(-42))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*b**4 + 3*b**5 + 31*b**4 - 5*b**5 - 6*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018261485 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**2*t**6 + 11*l**2*t**4 - 257*l**2*t**2 + 3*l*t**2 wrt t.\nAnswer: -120*l**2*t**3 + 264*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -6. Suppose 2*f = 6*f + 20, -5*f = 5*l + 25. Let o = 1\/37 + 34\/111. What is the biggest value in l, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-25934)\/(-12985) + -2). Let l = 722 - x. Calculate the common denominator of ((-10)\/18 + (-88)\/198)*(-94)\/36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*l*o**2 + 156*l + 85*o**2 - 247 wrt l.\nAnswer: -116*o**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/128 in 10, -134, -33\/7?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 10*r. Suppose -4*z = -g + 12, 10 = -r*g + 2*g - z. What is the third derivative of 4*i**2 - g*i**5 + 3*i**5 + 3*i**5 wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8710)\/39*(-495)\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 92808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1166653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 17. Let k be h(-8). Let m be 83 - (k + 3\/(-3) - -3). Let n = 100 - m. What is the remainder when 57 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 - 112. Let d(n) = -35*n. Calculate -d(h) + 42*f(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*z - 157 = 0, -2*d + 2*z + 306 = -2*z. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*g - 3725 = -57*g - 2917 + 4059 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 + i - 1. Let j(b) = 2*b**3 - b**2 + 3*b - 7. Calculate -j(z) + o(z).\nAnswer: -z**3 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 + 36*j - 3. Let t be f(7). Sort t, 1, -9 in increasing order.\nAnswer: -9, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-1)\/(-1)) + 1. Are h and 5\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4452647*s**3 + 1285446*s**2 wrt s?\nAnswer: -26715882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1856617 to the nearest ten thousand.\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 3\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let z = 6.8 + -6.6. What is the nearest to 0.1 in 5, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 40*g - 2. Let v(f) = 63*f - 4. What is z(v(j))?\nAnswer: 2520*j - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1650180 times -0.3\nAnswer: 495054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2751)\/(-7)*445\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 16 + 34 + -54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, 0.2, -567, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 9. Suppose -3*l + f = 22 - 78, -q*l = 4*f - 42. Suppose 4*t = -9 + 29. Solve -2*w = t*n, -n - l = 2*n + 5*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(10)\/sqrt(2)))\/(sqrt(256) + (1*sqrt(256) - sqrt(256)) + sqrt(256)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-2))**(-8\/9))**(-26))**(-1\/5))**(-29) assuming t is positive.\nAnswer: t**(-6032\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346359483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*4\/10*-110*(-24)\/2376.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 341578477205?\nAnswer: 341578477205.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9 + -6)\/(8*(-22)\/(-528))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (8 - 12) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (5 - 2)) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36830455 - -47?\nAnswer: -36830408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 + 7*u + 12. Let c = -65 + 141. Suppose -68 = a - c. Let x be l(a). Put x, 2, 5, -1 in decreasing order.\nAnswer: 5, x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104\/3 - 34. Factor 0 + p**2 + 1\/3*p**3 + q*p.\nAnswer: p*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -397527, -794932, -1192337, -1589742, -1987147, -2384552?\n\"Answer: -397405*p - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(32\/4)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 156. Let t = l + 105. Put -0.01, -0.4, t in decreasing order.\nAnswer: -0.01, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 a factor of 116888259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + 13 + -5 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose -b*k - 2*w = -10, 5*k + 22 = 3*w + 79. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 15\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - -3)\/3 - (-3 + -4 + -69). Suppose -6*w + 5*g + 575 = -w, 460 = 4*w + 4*g. Suppose -45 = -5*f + w. What is the highest common factor of f and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -3*p + 357*z + 5355, -5*p + 14*z + 18*z - 75 = 37*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*a = -2. Let b(d) = 3*d - 2*d + d - a - d. Suppose -2*m = -7*m. Calculate b(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**6\/120 + o**5\/15 - o**4\/3 - 13*o. Let z(r) be the third derivative of s(r). List the prime factors of z(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 6:09 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4916545 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*s + 5*s - 17 = 0, s = -4*v + 19. Suppose 3*c = 2*c - v. Is 2 + 23 - (-15)\/c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 7, -2, -7 in ascending order.\nAnswer: -25, -7, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from {g: 2, y: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 8*u - 26, 2*i = u - 45 + 37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 62 + 50*c - 33 + 42*c - 19. What is the remainder when y(2) is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 + 7*d**2 - d - 3. Let y be j(2). Let m be 4\/18 - y*301\/63. Suppose -6*c**4 + 5*c**3 - m*c**3 - 3*c**4 - 4*c**2 + 12*c**3 = 0. Calculate c.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/((-6)\/18). Let w = s - 4. Let a = 13 + -7. Solve -b + a*b - 5 = w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggggtgtgggtgt. Give prob of sequence gtt.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 x when three letters picked without replacement from zzzx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105, 107, 57, -69, -295, -645?\n\"Answer: -4*g**3 - 2*g**2 + 36*g + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1196 and 310684?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1 + 2)\/3 - 1. Let x be (-2 - -1)*(-14 + p)\/5. Which is the third smallest value? (a) 1\/2 (b) x (c) -4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 13. Let q be t(0). Let r be 1 - 0 - 6 - 4. Let w be r\/(-12) + (-91)\/(-28). Solve w*u - q - 3 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.00183 - -2.00183. Which is the second smallest value? (a) w (b) -160 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -26*5\/(-10)*3*2. What is the greatest common factor of p and 1196?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 + -251.0000178. What is r rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.095 + 4.605. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117760\/1341 - -734\/149. Let a = f - -83. Let p = 0 - 0. What is the nearest to -0.1 in -0.5, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caadd. Give prob of sequence acd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 0*c - 5*c + 2)*(548*c - 277*c - 361*c - 4) as y + k*c + h*c**2 and give k.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 821416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose 14 = -b*i + i. Suppose 2*t - 94 = -4*h, -7*t + 15 = -4*t. What is the greatest common divisor of h and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m*m*(m*(m*m**7)\/m)\/m*m**(-1\/2)\/m**(-2\/3) assuming m is positive.\nAnswer: m**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*(sqrt(242) - (sqrt(242) + 0 - sqrt(242))))**2 + 1 + 0 + (5*(-3 + sqrt(242)*-2 + -2*sqrt(242)*-3))**2).\nAnswer: -6600*sqrt(2) + 105738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171147876 to the nearest integer?\nAnswer: 13082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:26 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1652148, 1652151, 1652154?\nAnswer: 1652157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 262*q**2 + 10081*q - 5046. Determine s(296).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-17 - (8 + 21 - 23)) + (72 - 1).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 41533.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.42 - 42.58. Is g at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 276, 432, 650, 930, 1272?\nAnswer: 1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 238*y**2 - 54880*y - 2151296.\nAnswer: -2*(y + 49)*(y + 392)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517702?\nAnswer: 2, 313, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23029 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2917 + -5?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -99*k + 5176. Calculate the remainder when o(50) is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 720024, 720023, 720022, 720021, 720020, 720019?\n\"Answer: -k + 720025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 108 = -3*f, 2*f + 648 - 272 = 4*r. Solve 0 = -14*p - r + 110 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -289, -437, -585?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -59. Sort 9, y, 1, -4.\nAnswer: -4, y, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1000, 997, 994, 991, 988?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -3.3. Let h be ((-40)\/270)\/(4\/6). Let k = 11 - 35\/3. What is the third biggest value in c, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 8*o**2 + 36*o - 193. Let f be y(13). What is the greatest common factor of f and 2880?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 9*a - a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from fwwpwyyfwfwywyfwff?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6664 - 3)*(-3403)\/200777?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888*c**3 + 867*c**3 + 2*c - 2*c.\nAnswer: 1755*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 15*h**2 - 14*h + 6. What is f(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-10)\/(-576) - 44\/396)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:20 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4172 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-126)\/(-12))\/21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3360 and 47568360?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/((-46)\/(-31464)*209)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-8) - -1)\/((-11)\/(-22)). Let q(o) = 3*o + 28. Let a be q(-9). What is the third smallest value in x, a, -12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*k - 4 = 0, -3*j + 33 = -k + 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5665*43\nAnswer: -243595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemrmmrqeeeeej. What is prob of sequence eq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(4\/4) - -5. Solve z - 5*t - 28 = 4*z, -4*z = -t - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, 176, 405, 730, 1151, 1668, 2281?\n\"Answer: 48*s**2 - 11*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 538*q**4 + 56506*q**3 + 1899744*q**2 + 19986120*q + 592704 = 0. Calculate q.\nAnswer: -42, -21, -8\/269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/4283, -1\/7, -4, 2\/7 in ascending order.\nAnswer: -4, -1\/7, -2\/4283, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-569*f + 569*f + 12 - f**2)*(2 - 2 + 2*f**2).\nAnswer: -2*f**4 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 982356 and 20164?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8957184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t**3 + 1\/6*t**4 + 0*t + 0*t**6 + 0*t**7 - t**2 + 1\/336*t**8 + 0 + 0*t**5. What is the second derivative of k(v) wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137631095 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/8 - -3) + -3)\/((-20601)\/1526).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3\/8, 3, 0.7 in decreasing order.\nAnswer: 3, 0.7, 3\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -4 (b) -5 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (7\/2 - -4))*4. Let i be r\/208 + 81\/8. Solve -5 = -3*a + i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -243534840?\nAnswer: -243534841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 18*b + 9. Let c be n(18). Suppose 1 = -5*a - c. What is the closest to a in -2, -5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:16 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from jnd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, -0.27, 0, 6, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38602821 and 1.3.\nAnswer: -50183667.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 - (24 - 18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (12 + -15 + 10 - 52).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 59. Let o = -38 + u. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.073555 - -8\nAnswer: 18.073555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b80a - aa9?\nAnswer: ac51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 1. Let y = -56309\/5 + 11270. Is y < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2349 + -2340. Solve b = -a + 3, -b + 0 = -2*a + r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a728 + 3a?\nAnswer: -1a6cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g - 9 = 0. Let j be 14 + (g - (-2 - 2)). Let r = j - 8. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -1383?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 6, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-7\/8))\/((d*((d**(-28)\/d)\/d)\/d*d)\/d*d*d))\/((d\/d**(-1\/40))\/(d\/(d*d**(-2\/71)*d*d))) assuming d is positive.\nAnswer: d**(17841\/710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1. Suppose -25 = -5*w + v - 5, -4*w + 27 = -3*v. Let g(i) = i - 4. What is w*r(x) + g(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13222 (base 4) in base 15?\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 22*n + 25. Let s be x(-13). Let o = 85 - s. Suppose 0 = 5*t - o - 7. Solve t*c = -0*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45349293.13 to the nearest 100000.\nAnswer: -45300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -320832353, -320832350, -320832347, -320832344, -320832341?\n\"Answer: 3*d - 320832356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 474337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 822 = -d. Suppose 65*r - 39 = 52*r. Suppose 5*m - r*j - d = j, m + 4*j = 74. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 8*o - 4. Let z be b(-10). What is the highest common factor of 24 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-119)\/136*1\/(-7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24012, -46401, -67160, -86289, -103788, -119657?\n\"Answer: 815*p**2 - 24834*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(12\/(-9)*-2)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 124*p + 3385. Let r be q(-9). Is r less than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, r: 9}. Give prob of picking 2 p.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*(j\/j**(1\/4))\/j)\/((j*j**1)\/(j\/(j*j**(3\/4)))))\/(j\/(j**(2\/9)\/j)*j*j*j*j**(1\/2)*j*j**(-6)\/(j\/j**(1\/4))) assuming j is positive.\nAnswer: j**(-307\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**6\/600 - v**5\/150 - v**4\/120 - v**2\/2 + 4. Let t(q) be the second derivative of a(q). Factor t(z).\nAnswer: -z*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4467.9 to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73882424 by -9235303.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + 0*y)*(2 - y - 2)*(31 + 108 - 49).\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 345 - 2035\/6. Find the common denominator of -97\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v - 18*v**2 - v**2 + 24*v**2.\nAnswer: 5*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 5*z**2 + z - 1. Determine k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1489383 and -81\/1654870?\nAnswer: 14893830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13071321661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5045 = -23*p - 5160 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -624120000 to the nearest 1000000.\nAnswer: -624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9287651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112242 (base 8) to base 4.\nAnswer: 21102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w**3\/w*w)\/w))\/w)**(19\/3)\/((w\/(w**(-12\/5)\/w))\/(w\/(w\/(w**(-4)*w)))) assuming w is positive.\nAnswer: w**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 434 - 206. Let k be 4\/14 - u\/(-84). Suppose -f + 94 = 4*l - 3*f, -13 = -l - k*f. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59797.202 rounded to the nearest one hundred?\nAnswer: 59800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48661*x**5 + 37*x**2 + 8*x + 5?\nAnswer: 2919660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/(20862\/(-10716)))\/1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**3 + 45216*o**2 + 10882 wrt o?\nAnswer: 6*o**2 + 90432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weeooez. Give prob of picking 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s - 5*r, -4*r - 275 = -2*s - 265. Let o(p) = p**2 + 15*p. Let f(x) = -x**2 - 8*x. Calculate s*f(k) + 3*o(k).\nAnswer: -2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2. Let y(z) = -88*z. Determine c(y(m)).\nAnswer: -30976*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 54212.8?\nAnswer: -54212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*z - 30, 8*u - 18 = 10*u + 2*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1083032 and 48.6?\nAnswer: 1083080.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -690 - -232. Let q = -413.9 - o. What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(2 + 4 - 5) + (16 - 5 + 6)*(-2*w + 4*w + 4*w) + 66 - 3*w - 22 + w.\nAnswer: 101*w + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*c = -5381 - 8965 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -15. Let v be a\/(2\/(-2)*1). Suppose -u + 2*u = v. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*u**4 - 61040*u**3 - 285140*u**2 - 162960*u = 0. What is u?\nAnswer: -4, -2\/3, 0, 4074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*l**4 + 93*l**3 + 9*l**2.\nAnswer: 3*l**2*(l + 3)*(10*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -5*a**4\/72 - 125*a**3\/36 - 115*a**2\/6 - 215*a + 134. Let w(z) be the first derivative of x(z). Solve w(n) = 0.\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-960)\/(-704))\/(((-2)\/4)\/(5*6\/45)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4075901 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7452368 and 331291632?\nAnswer: 3644207952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 2*k - 2. Let j be s(-1). Suppose 4*o = -2*u - 2, j*o = -o - u - 7. Which is the third smallest value? (a) o (b) -1 (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1219372 divided by -154.\nAnswer: -7918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 3 (c) 11540 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4212 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (8 + (-20 - 10) - -18).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -7. Let x = -1 - s. Suppose x*h + 0*h = 6. Solve h*j - 12 = -3*n, -2*j + 4*n + 9 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006426406 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 16) to base 4.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 - 65250*q + 212878125 = 0.\nAnswer: 6525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**2 + 12*c**2 - 51*c**2. Let v(p) = -5126 - 5124 + 11*p + 10250 - 3*p. Determine z(v(d)).\nAnswer: -1856*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2268090 and 891?\nAnswer: 20412810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 76*v + 12. Let h(u) = -2*u**2 - 39*u + 7. Let o(l) = 5*h(l) - 2*s(l). Calculate o(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 v when four letters picked without replacement from {s: 3, v: 12, l: 2}.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66.32 - -66.37563. Let h = d - 0.15574. Let r = -0.1 - h. Round r to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:16 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6615 divided by -14\nAnswer: -945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1. Let f(c) = c**2 - 5. Let u(t) = f(t) + 2*p(t). Let b(m) = m**2 + 0 - 6 + 1. Calculate 3*b(n) - 5*u(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 5. Let z be (0 + 5)*(-2)\/2. Let v(l) = -3*l - 9. Let g(p) = z*a(p) + 3*v(p). Let n be g(4). Solve -7 + n = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5462246 - -45?\nAnswer: -5462201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -293*n - 32*n**3 - 2 - 21*n**2 + 299*n - 6. Is s(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/691642645?\nAnswer: -6\/691642645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.6 + 20. Which is the closest to 0? (a) g (b) 1 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 16*n - 4. Let j be b(15). Suppose 0 = 2*g - j - 29. What is the greatest common factor of g and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -43\/27621057 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 92*i**3 + 3*i**2 + i + 7. Suppose 9 = 3*d - 0. Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 4 = 41*f - 5*x, 12 = 5*f + 3*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 34*i**2 - 28*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-20) - (-65)\/4)\/1. What is the highest common divisor of 752 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18040 and 1540165.\nAnswer: 12321320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*u - 162, 2*z - u = -0*u + 150. Let i(x) = -16*x + 448. Let p be i(24). Let v = z - p. Solve w - 5*w = v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2209594 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2517 + 960. Calculate the highest common divisor of j and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c = -56*c - y - 561, -5*c - 3*y + 935 = 0. Calculate the highest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 165, -202\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k*k*k**(7\/4)))**(-2\/49)\/((k\/k**(-3))**(-31\/2))**(-7\/6) assuming k is positive.\nAnswer: k**(-21293\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 5. Calculate the remainder when 21 is divided by d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 32\/12)\/(14\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2824*a - 2816*a - 56 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.16 - -64.56. Which is the nearest to -1? (a) -8 (b) -0.18 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {e: 3, j: 1, t: 1, r: 1, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -13 + 1. Suppose -45000008 = 3*i + 2*t, 0*t = -d*i + t - 44999996. Round i to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142848310 divided by -25265?\nAnswer: -5654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21221222021 (base 3) to base 6.\nAnswer: 3205311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -123, -139, -139, -117, -67, 17, 141?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + c - 20180, -109*x + 3*c = -113*x + 80724. What are the prime factors of x?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2222837.09 to the nearest 100.\nAnswer: 2222800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1234*w**2 - 9*w - 8. Does 15 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.528 take away 435?\nAnswer: -435.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-35855)\/(-142) + 3\/2 is divided by 56.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/5 - 2) + 3. Suppose -12 = 2*y - p. Let j = 20 + y. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 10. Let s(y) = -y + k*y + 0*y. Let r(q) = -21*q + 11. Let g(n) = 4*n - 2. Let z(u) = 11*g(u) + 2*r(u). Calculate s(z(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*q**2 - 5096*f*q - 84*f - 183*q**2 + 203702*q + 1 wrt f.\nAnswer: -4*q**2 - 5096*q - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, 0, -16 in decreasing order.\nAnswer: 362, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 31407?\nAnswer: -3140.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = -4*s - 4*t, 4*s + 6 = -5*t. Put 88, 5, s, -1 in decreasing order.\nAnswer: 88, 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - v - 5*f + 61 = 0, 348*v = 356*v - 8*f + 64 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10962 divided by 21?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 32 = 4*c, 31*c = 28*c - 5*p + 38. Solve c = -3*g + 3*r, -6*g = -8*g - 3*r + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:27 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42425 by 5.\nAnswer: -8485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1344 and ((-29)\/448 - (-39)\/624)\/((-4)\/47).\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/270*-6*(-15)\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(192) + -2*(sqrt(192) + sqrt(192)*1) + sqrt(192).\nAnswer: -16*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-9)*(-119)\/102?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*31\/((-3627)\/(-52))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3\/2 + 1717857*b**2\/2 + 3435693*b\/2 - 5153553\/2 = 0.\nAnswer: -572617, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9463139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 + 4*h - 8. Let c be o(-6). Find the second derivative of -7*j**c + j + 8 - 3 + 9*j**4 wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {x: 2, c: 4, f: 4, p: 5}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*j + 388 = 0, -5*j - 250 = -3*z + 34. Suppose 320*u - 71985 + 2247 = -8618. What is the remainder when u is divided by z?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.785 rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 2) to base 14\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-81)\/(-30) - 1\/(-2). Suppose x = 4*x - 9. Is v at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*d + 924*d + 911*d = -531*d + 3598 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6381162.\nAnswer: 2, 3, 461, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 349729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 281 + -1977\/7. Let t = 16\/21 + b. Is t at most 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 1\/4 (b) 2\/83 (c) 0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010874667 rounded to six decimal places?\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 43*m**2 - 412*m + 223. Let r be t(9). Let l(j) = j**3 + j**2 - 2*j + 1. Let z be l(-2). Sort -0.3, r, z, -22 in ascending order.\nAnswer: -22, r, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (-194)\/5)*5. Let q = 217 + g. Suppose 0 = -0*w - 4*w. Solve -7 = -5*f - 2*s, 0 = -q*f - 5*s - w - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = 27. Let r be 5*(-1 - k\/(-20)). Suppose 4*u = 3 - 11. Which is the third smallest value? (a) -5 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185241000 rounded to the nearest one million?\nAnswer: -185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 788 or -37170?\nAnswer: -37170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/1736 and -17\/104.\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8875859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3543075*b**3*h + 3352195*b**3 + 1 wrt h?\nAnswer: -3543075*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2\/7 + 2262*x\/7 + 426387\/7 = 0.\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*o = -12*o + 5282 - 15842. What is the remainder when 449 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 7) to base 2.\nAnswer: 111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 12119531596081\nAnswer: -12119531596080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - (-11 - -22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36596414, -36596420, -36596426, -36596432, -36596438?\n\"Answer: -6*a - 36596408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 10*v - 55. Calculate u(-5).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1200)*2)\/((sqrt(36) - (sqrt(324) - sqrt(36)))\/sqrt(6)) + 2.\nAnswer: -20*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1 (c) 0.4 (d) 358\/3 (e) -1.168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-450)*(-10)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 294 + 66. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -2 + sqrt(180) + 1 + (1 + sqrt(180) + 3 - sqrt(180)))**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j = 119*j - 549 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + 1 + -5 + 36\/8. Let g(w) = 2*w - 13. What is g(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 15. Let v(a) = a - 1. Let g(x) = l(x) - v(x). Let p be g(-14). Suppose 0 = -0*b - p*b + 42. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -770850353 - 12841856175 - 4*z**3 + 9438516*z - 10848191*z - 23750773*z + 1468596960 - 17376*z**2 = 0. What is z?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k**2. Let r(z) be the second derivative of -z**5\/120 + z**3\/6 + 8*z. Let c(n) be the second derivative of r(n). Calculate c(i(j)).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 - 64 - 553*p - 106*p - 57 to the form w + m*p and give m.\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 2. Let b be y(-4). Let d(f) = f**3 + f**2 - 3*f - 1. Let x be d(b). Differentiate 4*g - g - x + 0*g - g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72119 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65, 135, 205, 275, 345, 415?\n\"Answer: 70*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24757\/9 - -2748. Calculate the common denominator of o and -50\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103349.099982 + -103349. Let i = y + -0.1. Round i to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 + -6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -14. Suppose p*z + o = -3*o + 33, 4*z + o = 57. Let n(r) = 6*r - 18. What is the units digit of n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -79*k + k**2 + 1\/15*k**5 + 29\/6*k**4 - 20*k**3 + 0. Factor n(i).\nAnswer: 4*(i - 1)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g + 210 = 227 + 351 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v + 2. Let b be y(-2). Suppose b*s = -3*x - 3*s, 0 = 2*x - 2*s. Suppose 3*z - 30 = -x*z. Solve 0 = w - 5 + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000977 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -1876063072.1.\nAnswer: -1876063072.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606.717 tonnes in grams?\nAnswer: 3606717000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w. Suppose -n = 0, w*y = -4*y + 2*n + 20. Let g be -4*2*y\/(-20). What is the highest common divisor of 32 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.6 and 3.12.\nAnswer: 5.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2 + (1 - -1). Let a be (-1)\/f*-1*4. Suppose -a = u - 4. Sort 0, u, -5 in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -23. Solve -1 = 2*z - f - 9, -4*z + c*f + 24 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Let a(j) be the second derivative of 1\/10*j**5 - 2\/45*j**6 + 1\/126*j**7 + 0 + 0*j**2 - 2*j - 1\/9*j**z + 1\/18*j**3. Factor a(f).\nAnswer: f*(f - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -917, -885, -831, -755?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1.6452801.\nAnswer: -8.2264005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6532188 days to microseconds.\nAnswer: 56438104320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1341, 5, 2654 in increasing order.\nAnswer: 5, 1341, 2654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16023 to three decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 426604 - 2436?\nAnswer: 424135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2244 - 2243.91. Which is the nearest to -0.1? (a) 2 (b) t (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 + 10 + -9. Let i be 4\/10 + (-123)\/(-5). Suppose -n = -5*y + i, 7*y - 16 = 3*y. Put n, a, -3 in increasing order.\nAnswer: n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l, -1 + 0 = 3*t + l. Let c be (-2)\/4*t + 6139\/14. Suppose q = 4*b - 2*b + 112, -4*q + 5*b + c = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*n + 4*n, 2*y - 2*n - 512 = 0. Let f = 260 - y. Solve f*c + 18 = 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -648*n + 55775 - 40871 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -0.185366462106?\nAnswer: 0.214633537894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 - 54)\/(30\/20). Let t = 6 - 3. Suppose 3 = -t*y + 6*y. Which is the biggest value? (a) j (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 196455956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -15)*15\/(-25). Let h be (-380)\/w + (-18)\/81. Find the third derivative of -49*i**2 - 2*i**3 - i**3 + h*i**2 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 184*o - 926. Let b(a) = -10*a + 10. Give b(o).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + o = 68, -2*o + 5*o = -12. Let y be 90\/d - (-2)\/(-8). Which is the nearest to -1\/4? (a) y (b) -6 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 546 + 13 = -9. Solve -r = -7*t + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 12. Let u be j(5). Let h(x) = -x + 6. Let g be h(10). Let f = u + g. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28531 - 28529. Let l(v) be the second derivative of 0*v**t + 17*v + 1\/4*v**4 + 3*v**3 + 0. Factor l(d).\nAnswer: 3*d*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 + -5.2. Let y = 0.1 - -0.1. What is the nearest to n in -2, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13555235 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/((-8)\/((-112)\/21)). Which is the biggest value? (a) 0 (b) -1\/2 (c) 1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/3, -11, -4 in decreasing order.\nAnswer: -1\/3, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*20\/12 - -3. Suppose 0 = -j*i + 6*i - 2. Let q = -525.8 + 526. Which is the fourth biggest value? (a) -2\/9 (b) q (c) i (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + ((-4)\/2 - -3). Suppose -3*b + g = -85. Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245409970 by -1.\nAnswer: 245409970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:20 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -334*q + 327*q - 1120. Which is bigger: q or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -132 - -131.8. Let v = 253 - 3797\/15. What is the third smallest value in i, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7133 is divided by 6878.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (16 + -13 - (3 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - i**2 - 3*i**2 + (-3*i + 3*i - 2*i)*(0 + 0 - i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57827 is divided by 1159.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7668671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 2. Let x be b(0). Let k = 7 + -21. Let g = x - k. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -24*s**3 - 3*s**2 + 185*s + 1052. Is q(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 - 0.47. Which is bigger: 0.02 or h?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (3 - 1) - (-205 + 203).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*p**2 - 472885*p**5 + 472887*p**5 - 632*p**2 - 3 + (-4*p + 3*p - p)*(1 + 2*p**4 - 1).\nAnswer: -2*p**5 - 620*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95310)\/(-88) + ((-21)\/4)\/(-7). Let n = -1081 + v. Calculate the common denominator of 49\/5 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 6 (b) 5 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8937 * 0.25.\nAnswer: -2234.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -116*m + 643. Let y(q) = -41*q + 214. Let w(h) = -6*x(h) + 17*y(h). Find the first derivative of w(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 6:32 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*j + 494*j = -5457 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -2\/11 (c) -1\/6 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 20 = -5*w, 5*w - 3*q = -0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 8:30 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 13*u**2 + 15*u + 7. Calculate a(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2344547 millennia to decades.\nAnswer: 23.44547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-6 - (1 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3764, -1606, 552, 2710, 4868, 7026?\nAnswer: 9184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88614439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 4*t + 2. Let x be p(-4). Suppose -x*d = -0 - 4. Find the second derivative of 0 + 0 + 0*i - 3*i + d*i**3 wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1224053 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*k - 24, -3 = 3*u - 12. Let m(d) = -d - 4. Let p be m(k). What is the third smallest value in -3, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m + 3. Let b be y(-9). Let t be ((-2)\/(-5))\/(7\/35). Suppose 2*d = -t*d + 8. Solve d*z + 5*u - b = 0, 3*z + 3 = u + 3*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1346*b**5 + b + 1433. Let a(c) = -2*c**5 - c**2 - c. Let u(l) = 2*a(l) + 2*m(l). Find the third derivative of u(d) wrt d.\nAnswer: 161280*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2380 = 2*w. Suppose 2230 - 1333 = 39*j. Calculate the remainder when w is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349286 divided by 7\nAnswer: -49898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -296 + m**3 - m + m + 193 wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 36 + 31 + 63 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8662 or -8664?\nAnswer: -8662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - k - 800 = 4*k, 2*q - k = -386. Let o be (-4)\/(-6) + 245\/q. Let a = 412\/117 - o. Find the common denominator of -27\/2 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -1. Let f = 6 - d. Let p = 0 + f. Which is the biggest value? (a) 3 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 357 divided by -5\nAnswer: -357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 + 2*f - 3. Suppose 0 = -2*n - 0*n + 6. Determine b(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33522 and 6438.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:32 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162865400 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320703522 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83081 + 863126 = 9*k - 260166. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3384443.13 to the nearest 10000.\nAnswer: 3380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 49*y**2 + 141*y - 30. Calculate the least common multiple of o(46) and 1632.\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16986?\nAnswer: 2, 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 47, -7, 2, -0.5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 14*p**2 - 15*p + 3. Let m be j(15). Suppose m*g + 6*r - r - 2 = 0, 4*r + 16 = 2*g. What is the third smallest value in 0.4, g, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-10)*315\/14. Suppose 4*u + 2*g - k = 0, -3*u + 36 = 4*g - 61. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2851553, -2851591, -2851629, -2851667?\n\"Answer: -38*q - 2851515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435068130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 585*z**4 - 270*z**3 - 72*z**2 + 4*z + 76?\nAnswer: 14040*z - 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:19 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 + 10545316*l - 305810800 = 0. Calculate l.\nAnswer: 29, 2636300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 35*i**2 - 467*i - 8082. Calculate y(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1330.911 nanograms?\nAnswer: 0.001330911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (3*-2)\/(-1). Let j(b) = b + 5. Let o be j(x). Is o less than or equal to -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/((-23)\/11))\/((-2)\/(12\/2))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66429 by 9.\nAnswer: 7381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519439?\nAnswer: 269, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 2*u + 2. Let h(d) = d. Determine 2*h(m) + v(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**3 + 3*n**3 + 10*n - 3*n**3 + 5*n**3 + 8*n**2. Suppose -38*j + 48 + 18 = -16*j. Calculate the smallest common multiple of k(9) and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**4\/4 + 2*d**3\/3 - 5*d**2\/2 + d + 42. What is w(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -336535, -668905, -1001275?\n\"Answer: -332370*n - 4165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - -1) + (30 - 30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 5*l**3 - 2*l**3)*(7 + 10 - 10 - l).\nAnswer: l**4 - 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -15, 2, 37, 96, 185?\n\"Answer: p**3 - 2*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 25 = -q, -10 = -t + 3*t + 4*q. Suppose 0 = -5*x + 4*x - g + 1, -5*g = -5*x + 15. Differentiate t*f**2 + x*f - 3*f + 14 + f with respect to f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7101*i + 3201*i + 8319*i - 5108 - 23166*i wrt i.\nAnswer: -4545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p)\/((p*p\/(((p\/(p\/(p*p**(-8\/3)*p*p*p*p)))\/p)\/p*p)*p)\/p)*p**(-7)*p**(-4\/5) assuming p is positive.\nAnswer: p**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*s**2 - 11*s - 21481?\nAnswer: -236*s - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 34. Let m be j(-17). Let q = 69 - m. Let b = q - 33. What is the greatest common divisor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31417, 62849, 94281, 125713?\nAnswer: 157145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112114, 224235, 336356?\nAnswer: 448477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 247. Let c(r) = -31*r - 6. Let t(a) = -67*a - 13. Let w(q) = 13*c(q) - 6*t(q). Determine w(m(s)).\nAnswer: -2*s**2 - 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let g(p) = 9*p - 4. Let h(y) = 46*y - 19. Let u(m) = 11*g(m) - 2*h(m). Is u(q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5075*m**2 + 1163 - 56887*m + 46722*m + 3922 + 5*m**3 = 0 for m.\nAnswer: -1017, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -628, -829, -910, -877, -736?\n\"Answer: -c**3 + 66*c**2 - 392*c - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/24 - (-84)\/(-16))*-1. Suppose -g - 13 = -3*k, 3*g + k + 3 = 4. Let w be (g + -23)\/(2\/(-3)). Calculate the greatest common divisor of y and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -14. Let p be j\/(4\/3)*-4. Put 0, -5, p in decreasing order.\nAnswer: p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-2) + sqrt(33))\/(sqrt(11) - (-2*sqrt(44))\/sqrt(4)) + 3.\nAnswer: 3 + 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20650?\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*753\nAnswer: -75.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5346884 to the power of 1\/2, to the nearest integer?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264432, -529341, -794250, -1059159, -1324068?\nAnswer: -1588977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1944)\/(-243) - (-18)\/4*(-8)\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i - 5. Suppose 0 = 13*r - 18 - 34. Give v(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3022227, -6044449, -9066665, -12088875, -15111079, -18133277?\n\"Answer: 3*c**2 - 3022231*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/76*-1*((-2)\/27)\/(318\/1431).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = 5*a, 2*a + 5*b - 4 = -0*b. Suppose 274 + 267 = 4*s - 3*l, -s - a*l = -127. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 16. Let r(k) = 25*k - 18. Let s(y) = 71*y - 51. Let z(b) = -17*r(b) + 6*s(b). Calculate z(g(o)).\nAnswer: -o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.702123 tonnes in grams?\nAnswer: 702123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2438 is divided by 1505?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*x - 8, z + x = -0*z - 4. Suppose z = -4*h - 3 + 11. Let j(y) = 2*y**2 + 3*y**2 - 3*y**h. Let p(l) = l**2. Determine p(j(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**5\/10 + t**4\/2 - 2*t**3\/3 - 2*t. Find m such that y(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p**2 + 23*p**2 - 22*p**2)*(-34*p + 10*p - 12*p).\nAnswer: -468*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2\/3 + 958273*h\/3 = 0.\nAnswer: -958273, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*-1 - sqrt(133))*1)\/sqrt(7))**2 + -5*(-2*sqrt(2736) - sqrt(19)).\nAnswer: 76 + 125*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*v**6 + 11*v**4 + 90*v**3 - 793*v**2 + 21?\nAnswer: -600*v**3 + 264*v + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 8, 3*r + 66 = 5*r - 4*f. Let c = -18 + r. Let o = 17 - c. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*t - 18, -5*c - 4*t = -48 - 71. Suppose -5 = -4*p - x, -4*p - 4*x - 3 = -c. Solve p*k - 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 40 = v, 9 = -4*c + 5*c + 4*v. Let k(z) = -z**2 + 16*z. What is the units digit of k(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 1. Let n be f(1). Suppose 0 = -6*r + n*r + 40. Determine a, given that -4*a - 14*a**2 - r*a**4 + 7*a**5 - 5*a**5 - 4*a**5 - 18*a**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.41471831 to two decimal places.\nAnswer: -27.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-2 - (6 - 13). What is the second derivative of 1 - 3*q**5 + q - c + 4 wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 + 0*n**4 - n**4)*(0 - 5 + 1).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + 102 + (0 - 7) - (-4 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2. Let q be 6\/((-4)\/2) + 8. Let y(h) = 2*h**2 - 2*h**2 + q*h**2. Determine j(y(x)).\nAnswer: -75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/128 and -85\/1408.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*v - 3*r, 5*r = 3*v. Suppose 136 = 2*u - v. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 2*f**3 + f**2 + 2. Let l be t(-2). Let i = l + -2. What is the greatest common factor of 90 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105973\/52 - -2038. Suppose -179 = 155*z - 24. Which is bigger: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/20)\/((-2380)\/680).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - 120*r**2 + 793*r + 88. Give n(6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*h - 4*h**4 - 2*h**3 + 5*h**4 + 3*h**3 - 16*h**2 - 43*h to the form x*h**2 + z + s*h**4 + q*h**3 + k*h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.2 + 40. Which is the closest to r? (a) -32 (b) -0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2, -0.1478, -6 in decreasing order.\nAnswer: -1\/7, -0.1478, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 22. Let p be d(11). Solve m + 3*m - 8 = p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20123 (base 4) to base 6\nAnswer: -2255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, t: 4, h: 2, o: 1, c: 3, m: 2}. Give prob of sequence tht.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -596, -1281, -2224, -3425, -4884, -6601?\nAnswer: -8576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 294?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5045187520 rounded to the nearest one million?\nAnswer: 5045000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200441807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2757845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 - 115*q**4 - 715*q**3 - 605*q**2 = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:43 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 54*w**2 + 73*w - 1157. What are the prime factors of u(12)?\nAnswer: 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, s: 7}. Give prob of picking 2 x and 1 s.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(4*u**2 + 21*u**4 - 4*u**2).\nAnswer: 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 438295\/8 - 54870. Let p = s + 555\/8. What is the common denominator of 68\/9 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -20\/9, 294, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 11 - 9. Let y(j) = j**3 - 24*j**2 + 21*j + 44. Let r be y(23). Sort z, r, 1.\nAnswer: z, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (65 - 60)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 97*w**2 + 2*w + 8. Let t(n) = -2*n**2 + n + 4. Let o(i) = -2*t(i) + z(i). Let p(d) = 4*d. What is p(o(g))?\nAnswer: 404*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkoltwt. What is prob of sequence ttol?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53315160 is divided by 47?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0187 + 20.7613. Let b = -21 + u. What is b rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/3))**(-18))**49)**(-1\/4) assuming c is positive.\nAnswer: c**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.9 + 12.89. Let j = 0 - -1. Let z = j + a. Round z to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.101 - -66.501. Let v = 53.428 - w. Let h = -13 - v. What is h rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 24759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4140*p + 715*p - 5061*p - 1441*p in the form o + d*p and give d.\nAnswer: -9927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313410768 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 1 + 3)*(0*d + 2*d - 4*d) + 2 + 2*d - 2)*(-14*d**2 + 14*d**2 - 16*d**3) to f*d**3 + v*d + x*d**2 + p*d**4 + n and give p.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120566205 (base 7) to base 6.\nAnswer: -425004013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -58*r + 538 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9629 + 6231. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144\/13 + 2972\/273. Suppose 0 = a - 4*a + 3. Is u less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let v(i) = 2*i + 171. Give -3*f(a) + v(a).\nAnswer: -a + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 430 times -94630\nAnswer: -40690900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1190 - 223. Let i = t - 970.5. Which is the closest to -1? (a) -0.4 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*l - 2*l = 343, 0 = -4*j + 3*l + 461. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409*h**2 - 7*h + 36?\nAnswer: 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 10*v - 21. Suppose -3*q - 11*r + 6*r = 45, -4*r + 8 = -2*q. Calculate m(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*m - 128, 0 = 4*m + 7*v - 2*v + 136. Let p = -18 - m. Calculate the lowest common multiple of p and (-4)\/10 - 27\/(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(343) + 1*sqrt(343))*6 + -1*(sqrt(343) - -6*(sqrt(343) - (sqrt(343) + sqrt(343) + 0) - sqrt(343)) - sqrt(343)))*-3)**2.\nAnswer: -54432*sqrt(7) + 1781028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11182471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0592 - -0.4592. What is the third biggest value in -0.7, 5, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**5\/60 + f**4\/24 + 7*f**3\/3 - 18*f**2 - 4*f. Calculate k(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*p + 4)*(15276 - 30543 - 2505*p**2 + 15267 + 18333*p**2) to t*p**2 + x + v*p + i*p**3 and give i.\nAnswer: 31656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-1)*(-6)\/18. Suppose 3*p = 4*a + 2493 + 8208, 0 = -y*p + 5*a + 10704. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.92 - -2. Let k = d + -0.48. What is the third biggest value in 0, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-38)\/(-6))\/((-1)\/6). Let c = o + 42. Suppose c*p - k = -14, -3*p = k + 2*k + 18. Put 1, -2, p in ascending order.\nAnswer: p, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32840097?\nAnswer: 3, 181, 197, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -2)\/((-1)\/(-2)). Let t = -7 + v. Solve 21 = -y + 2*j + 2*j, 4*j - t = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320365 (base 7) to base 13.\nAnswer: 1c2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -148235311 divided by -3983\nAnswer: 37217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83369 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -613, 0, -0.2, -7\/2, 0.3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -4*f, -f + 4 - 2 = -2*w. Let n be (1\/(-12))\/((-8)\/(-12))*4. What is the nearest to 1 in f, n, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1133? (a) 1 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128 a factor of 16261248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/3)\/z)\/z)**(-9))**(1\/15)*(z**(-3)*z**(-14)\/z)**30 assuming z is positive.\nAnswer: z**(-2693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 34 = 2*j - 15*r, -7*r - 117 = 13*j - 2*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17835.2 + -17835. What is the third biggest value in m, 4, 2.548?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (-1 + sqrt(117))*-5) + 2*(sqrt(117) + -1*sqrt(117) + sqrt(117) - sqrt(117)))**2 - -4*(4 + sqrt(1053) + 2).\nAnswer: -144*sqrt(13) + 4261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 2 - 1)*(2 - 2 + 2*o)*(-4 + 2 + 0 + 2*o) to the form l*o + t + p*o**2 and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -26 + 15 + 17.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 852799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 124, 227, 322, 409, 488?\n\"Answer: -4*q**2 + 123*q - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -2*t + z, 4 = 2*t + 5*z. Let l(s) = s**t - 4*s**2 + 0*s**2 + s**2. Let q(i) = -3*i. Determine l(q(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-9)*(-32 - 7). Which is smaller: v or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 29*b - 12. Is o(-10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 25*i**2 + 13*i - 66. Is q(25) 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 apa. What is prob of sequence ap?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64590 by 1269.\nAnswer: -21530\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103591*c**3 + 103625*c**3 + 3*c**2 + 7*c - 3*c**2.\nAnswer: 34*c**3 + 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/770 and 59\/175?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb8b5 + -5?\nAnswer: -cb8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - 5*j - 6. Let z be x(-4). Let d = 18 - z. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -29.93. Round g to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2303 and 9849.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ill. What is prob of sequence li?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-40)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12675 or -12727?\nAnswer: -12675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**3 + 155*i**2 - 1032*i + 895. Give j(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 5)*(-244*o + 3*o + 11*o)*(0 + 3 - 5) to q + u*o and give u.\nAnswer: 3680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, z: 4, u: 1}. What is prob of picking 4 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*4.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 299, 189, 15, -229, -549, -951?\n\"Answer: -r**3 - 26*r**2 - 25*r + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-18)\/(4\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Suppose 3*h = -2*w + 5, -3*w - k*h = w - 7. Differentiate -18*y**4 + w + 6*y**4 + 9*y**4 + 10 with respect to y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 + 62. Let d = -203\/10 - -94\/5. Put d, 1\/6, z, 2\/13 in increasing order.\nAnswer: z, d, 2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61071033, 122142082, 183213131?\n\"Answer: 61071049*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14450*f**2 - 27396 - 10568*f**2 + 27396 + 20031*f**2 to v*f + u*f**2 + o and give u.\nAnswer: 23913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245069874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32305 - 0.06.\nAnswer: -32305.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 600 = -d, 0 = -2*t - 2*d + 294. Suppose m = 2*a - t, 3*a = -0*m - 5*m + 220. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, -2, 1.\nAnswer: -2, 1, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o = 92*o - 15. Suppose -3*f + 932 = p, 3763 = 4*p + o*f + 2*f. List the prime factors of p.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*h + 4 - 6 - 241*h + 2 to q + a*h and give a.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/8)\/(1\/66))\/(325\/3900)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/((-3)\/(-15)). Find the third derivative of -2*u**m + 3*u**5 + 4*u**2 - 3*u**2 wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*k - 323388 = 901960. List the prime factors of k.\nAnswer: 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 32, -3.\nAnswer: -4, -3, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3852679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -16*k - 6. Let n be u(-3). Let y = n - 61. Let t = 16 + y. Put -4, t, -0.2 in descending order.\nAnswer: -0.2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + (-32)\/(-18). Let f(g) = g**3 - 14*g**2 + 15*g. Let s be f(1). Let l(r) = -15*r**q - 12*r**s - r + 26*r**2 + 1. What is l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.9977 - 44. What is d rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3112 + -10213?\nAnswer: -13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-nine quarters of a millisecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19.8 times 4\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 16*m + 12. Let u = 151 - 758\/5. Calculate the common denominator of u and z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3736811, 3736717, 3736623, 3736529, 3736435, 3736341?\n\"Answer: -94*d + 3736905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.30963 - 0.05963. What is the third biggest value in -1\/11, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.58 + -11.88. Which is the nearest to 1? (a) l (b) 0.0258 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10675*l - 561517 - 46958 = 0 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 - ((12 - 8) + 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*l - 4*d, -8*l = -9*l - 5*d - 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 4*j - 6. Let h(n) = -2*n**2 + 5*n - 7. Let z be (2 - 1)\/(6\/36). What is z*b(g) - 5*h(g)?\nAnswer: -2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p + 6. Let t(r) = r**3 + 5*r**2 + 4. Let y be t(-5). Let s = 1 + y. Solve -p*k - 40 = k + s*c, 3*k = 3*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/2*1\/(35\/14). Let m be 1 + -4 - (-2 - -1). Let d = 2 + m. Solve d = j*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/1 + 0\/(-1). Let v be (4*(-21)\/(-112))\/((-45)\/l). Which is the nearest to 0.08? (a) -0.2 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-1\/16))\/k)*k**(-5))**(-40)\/((k**(-1\/4)\/k*k)**(1\/20)\/(k\/(k\/k**(2\/5)*k))**(2\/61)) assuming k is positive.\nAnswer: k**(158593\/976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Let o(h) be the first derivative of 0*h + 0*h**2 - g + 1\/9*h**3. Factor o(i).\nAnswer: i**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:26 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-1)*1)\/(sqrt(1296) + (sqrt(1296) - -2*sqrt(1296)) + sqrt(1296) + sqrt(1296)) + 4 + 5.\nAnswer: sqrt(19)\/36 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3129610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -1.04. Sort 3, t, -1.\nAnswer: -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552196.9 rounded to the nearest one thousand?\nAnswer: 13552000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -112 (b) 1 (c) 2 (d) 4\/5 (e) -3\/2 (f) 1\/2 (g) -39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21467 (base 12) to base 14.\nAnswer: -11da7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -48. Which is greater: 6 or m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -394, -675, -914, -1111, -1266, -1379, -1450?\n\"Answer: 21*m**2 - 344*m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 863358\/3335 + -5958\/23. Let z = m - 1252\/145. Is -8 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/3 + 4 + 11. Let n(z) = -3*z**3 + 4*z**2 - 2. Calculate n(d).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 2 = -10*a. Suppose 0 = 2*c - 0*c - 4*x - 46, -4*c + 68 = -a*x. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 267 or 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20130002 (base 4) to base 6.\nAnswer: 424002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = -9. Suppose 2*m + 3 = -4*g + 3*m, -3 = w*g - m. Suppose -3*l - 5*i + 90 = g, 2*l - 102 = -l - i. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*x = -261, -a + 54 = 4*x - 3*x. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 19741*m + 55. Let n be t(11). Suppose 0*w - 3*w = -3*s - n, 0 = 2*w - 3*s - 144806. What is w rounded to the nearest 1000?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14 - 273*t**3 + 13*t + 0*t**2 - 7*t**2 + 2*t**2 + 272*t**3. Let r be v(-7). What is the tens digit of r\/(((-3)\/27)\/(4\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -6*m + 5. Let t(n) be the second derivative of n**4\/4 - 2*n**3\/3 - 8*n - 2. Let k(g) = -g**3 - 5*g**2 + 7*g. Determine m*k(u) - 7*t(u).\nAnswer: 4*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:07 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 175291010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 3*t + 0*t**3 + 0 - 3\/20*t**5 - 1\/4*t**4 + 0*t**2. Find the third derivative of d(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -9*z - 14. Let y(w) = w**2 - 9*w - 5. Let i be y(9). Let v be 2 + (130\/16)\/i. Which is the third smallest value? (a) z (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.240064919 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2397.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 1. Let h be b(-4). Let f = 4 - h. Is f\/(-3)*(291 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**1\/a)\/a*a\/a**3*a*a*a*a\/(a*a**6\/a*a)*a*a**(-3\/4))\/(a**(-3)\/(a\/((a**(3\/7)\/a)\/a)))**40 assuming a is positive.\nAnswer: a**(6107\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 14) to base 12.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 12 = 0, 4*o + 12 = y + 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 48 (b) 3\/2 (c) 1.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -i, 0 = -2*g - 2*g - 3*i + 1. Let y be (140\/(-5))\/(g - 3). Solve 5*b - 19 = 3*l, l = 3*l + 2*b - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 3:54 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.13 + 0.13. Let b = l + 7. Let y be 1 + 0 + 1\/(-2). What is the third smallest value in b, y, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3 (b) 2\/5 (c) -14753 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*c - 1826 + 6142 = 0. Suppose -105 = -2*q + 5*t, 90 = q - 2*t + 7*t. Calculate the greatest common divisor of q and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 + 16*m - 116 + 59)*(-m - m - m)*(1316 - 72*m - 1316)*(4 + 3 - 6) as z*m**3 + h + f*m + s*m**2 and give s.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/15)\/(-2) - 9906\/16510.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -1077, -2413, -4271, -6645?\nAnswer: -9529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*p**4*w**2 - p**3*w**3 + 7*p + w**3 wrt p?\nAnswer: -2028*p**2*w**2 - 6*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-22)*(-33)\/(-12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -316, 0.027, -89 in decreasing order.\nAnswer: 0.027, -89, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245 + 248. Let k(z) be the first derivative of 0*z - 23\/5*z**5 - 4 - 7\/6*z**6 - 27\/4*z**4 - 13\/3*z**d - z**2. Factor k(f).\nAnswer: -f*(f + 1)**3*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1811611 and 53032?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626 (base 11) in base 16?\nAnswer: -825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-73138.\nAnswer: -365690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 41. Suppose 13 = -8*n + p. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 85411 and -15?\nAnswer: 85426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8818104 and -0.7?\nAnswer: -6172672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwwiwiwiww. What is prob of picking 3 i and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 50. Let b = 5.9 + -6. Put b, p, 3 in descending order.\nAnswer: 3, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*c + 24, 2*c + 16 = g + g. Let w = 0 + g. Suppose -4*r - 126 = -w*r. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324864 divided by -423?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 3:27 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 9948564.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(-4)*b*b*b)**(-47)\/(b*b\/b**(1\/2)*b)**26 assuming b is positive.\nAnswer: b**(-159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -42, -54, -54, -36?\n\"Answer: k**3 - 3*k**2 - 16*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*d - 29, -n + 6*n + 2*d - 169 = 0. Let u(j) = -34*j**2 + 67*j**2 - n*j**2. Let z(f) = 9*f**2. What is z(u(i))?\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 11 + 0*v**2 - v**2 + 1 to the form u*v**2 + j + t*v and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -5.43. Let j be (-14)\/(-16) - (-6825)\/(-6552). Sort -4, j, t.\nAnswer: t, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 7. Let g(c) = -6. Let t(b) = -4*g(b) + 3*v(b). Let o be t(-7). Let u = o - 15. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/234, 4\/9, -1.78 in decreasing order.\nAnswer: 4\/9, -7\/234, -1.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (9 - (-16)\/(-1)). Let y(u) = u**3 - 5*u - 7. What is y(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 849 = -3*c, 8*c = 4*c + 3*o + 1136. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 4999*v + 24990001.\nAnswer: (v + 9998)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*x - 16. Let v = x - -11. Suppose 3*k = 3*h, -h - v*k + 21 = 1. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 115\/(-5) - 3\/(-1). Let s be (u\/5)\/(-4) - -4. Solve 0 = -4*m - 3 - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:16 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918839303.\nAnswer: 587, 4972469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*b + 8, b - y - 9 = 5*b. Let q be 21\/35*b\/(-9). Let g be (4\/10)\/(2\/(-20)). Sort q, -2\/7, g in increasing order.\nAnswer: g, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 289675 and 820?\nAnswer: 47506700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14397 (b) 1 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -452 + 875. Suppose 5*n + l = -4*n. Let s = 52 + n. Solve -5*h = s*k + 23 - 3, 5*k = -4*h - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 693 - 328. Find the second derivative of 2*f**2 + n*f**5 - f**3 + f**3 - 383*f**5 - 58*f wrt f.\nAnswer: -360*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/14*(20*3\/270)\/(3\/216)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 16, 101, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a decade in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3411948 divided by 331.\nAnswer: 10308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d + 230. Calculate m(-31).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(131\/(-16244)*-124)\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/60 and -19\/14652.\nAnswer: 73260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -147.2691.\nAnswer: 29.45382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 308557*z - 308559*z + 72 = 0, 0 = -4*k + 5*z - 183 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4345 - 2268. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3433, -3374, -3283, -3160, -3005, -2818?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 858*k**2 - 3471*k - 2610.\nAnswer: 3*(k - 290)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 51*f - 54*f - 55 + 62, -5*f + 9 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4)\/(-8)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)\/n**(-5)*(n*n**(-6))\/n**(-1)*((n*n**(1\/7)\/n)\/n**5)\/(n\/n**(-4\/7)*n**(-5\/6)\/n) assuming n is positive.\nAnswer: n**(-323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125400 a multiple of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-8)\/(-6))*3. Let r be (18\/8)\/(s\/48). Suppose 8*f - 5*f - r = 0. What is the least common multiple of f and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40867808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7*o + 3. Let k be t(-6). Suppose 4*y - 2 = 2*w, -4*w - k = -7*w. Let d = 1.3 + -0.3. Which is the biggest value? (a) y (b) d (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - -0.1. Let o = z - -0.03. Suppose -26 = 2*j - 5*m, -5*m = 6*j - j - 5. Which is the closest to o? (a) -5 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {n: 1, w: 5, g: 3, r: 3, x: 3, t: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r - 73. Suppose 5*b = 0, -2*l + 64 = -b + 2*b. Calculate the remainder when l is divided by f(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 5*j**4\/4 - 190*j**3\/3 - 205*j**2\/2 + 390*j + 850. Let z(i) = 0. What is i?\nAnswer: -2, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22933 is divided by 710?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 2. Let g be c(5). Let p be 5 - -3 - 4 - 8. What is the units digit of (4*3)\/p + g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/35 - ((-80)\/(-35) + -2). Suppose -4*g - 3*r = 3, 2*g - 40 = -3*g + 5*r. Solve -g*d - 7 + 1 = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - (27 - (-2 + 56))) + -23 - (1 - -5).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*a = -72, 26 + 15 = 2*h - a. Calculate the remainder when 69 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-54))\/4)\/(26\/(-12)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88593.19 hours to nanoseconds.\nAnswer: 318935484000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 10. Suppose -5*k + 7*k - 5*k = 0. What is x(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/1077, 333 in decreasing order.\nAnswer: 333, 2, -1\/1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, 19, 67, 149, 277?\n\"Answer: 2*r**3 - r**2 + 15*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 2896 = -3495. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -877 or -338?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/6 + 527*p**4\/6 - 42371*p**3\/3 + 620822*p**2 + 1991964*p = 0. What is p?\nAnswer: -3, 0, 78, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tht when three letters picked without replacement from {t: 8, h: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 4 + (101 - 88)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1462 + 2212. Let n be (-1)\/(-2) + z\/44. Let a = n + -71. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*(-2)\/(-28)*(-4977)\/(-9243)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 86 = -302 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29\/3 + -8)\/((-1)\/(-3)). Let d(r) be the second derivative of -1\/2*r**4 + 0 + 2*r - r**3 - 1\/10*r**w - r**2. Determine y so that d(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011 + -10000000000111001110?\nAnswer: -10000000000101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 530*d**4 - 3045*d**3 + 4500*d**2.\nAnswer: -5*d**2*(d - 100)*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30307048.\nAnswer: 2, 67, 56543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163 - 115. Let m(p) = 29*p - 4. Let l be m(3). Let r = l - u. Calculate the greatest common divisor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -39362 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/21)\/(((z*((z\/(z**(-1\/12)\/z))\/z)\/z*z)\/z)\/z))\/(z\/(z**(-2\/9)\/z))**(14\/5))**(-39) assuming z is positive.\nAnswer: z**(20345\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4 + 24. Let h = d - -9. Let v(k) = -k - 1. What is the common denominator of -6\/5 and v(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 - 1166*g**3\/7 + 79518*g**2\/7 - 373274*g\/7 + 294920\/7 = 0. Calculate g.\nAnswer: 1, 4, 73, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 + 2*l + 8. Let p be t(-4). Let u(f) = -f**3 - 13*f**2 + 17*f + 5. Is u(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 3. Let h be s(0). Let d = h + 9. Calculate the remainder when 50\/3 - (-2)\/(-3) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + -1.93. Which is the third smallest value? (a) 0.5 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 times 521\nAnswer: 93259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1100983 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + 15*s - 6. Calculate y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21853 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -15. Let t = -17.000007 + p. What is t rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395.4212 centuries in years?\nAnswer: 39542.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12304522 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utdtppvtpypvppt. What is prob of picking 1 t and 1 y?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 753 - 567 + 1354 - 3*j + 3*j**2 as i*j + x + h*j**2 + d*j**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1087.957 - -1088. Is n equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 6*i**2 - 119*i**2.\nAnswer: -107*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 5. Is 2\/6 - (5960\/q)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-224901)\/(-8))\/(231\/(-28)). Let k = 3410 + b. Find the common denominator of -101\/158 and k.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*y - 2402 = -162 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.19615 times -0.022?\nAnswer: 0.0483153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6.7. Let j = -2.7 - -2.8. Does j = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, 255, 573, 827, 915, 735, 185, -837?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((12\/(-268))\/3) - 3. Let h = -41 - r. Calculate the remainder when 113 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 12. Let b be q(-9). Let a be (-1)\/(12\/b) + 22\/8. Solve 7 = -3*w + a*c + 1, 4*w + 5*c + 26 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*s + 103 = -273, s = 0. Calculate the remainder when q is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1768.3007 - -1769. Round x to three dps.\nAnswer: 0.699","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:15 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*o + 13 = 7, -4*f = 4*o - 36. Suppose 4*z - 4*p - 229 = -3*p, 5*z - 300 = 4*p. What is the highest common divisor of z and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zse when three letters picked without replacement from {s: 1, q: 2, z: 1, t: 2, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 5*l + 11. Let o be w(8). Suppose -3*s = -2*a - 327, 2*s - 2*a - 218 = -0*s. Let q = s + o. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000390136 rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + x - x + x - x + x**2 + (-1 + x + 1)*(-x + x - x) + 4*x**2 - 4*x**2 + 2*x**2 + 1 - 1 + x**2 + 2*x**2 + x**2 - 5*x**2 - 9 + 7*x**2 + x**2 + 7.\nAnswer: 7*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(13\/5)\/(g**(-6)*g)*g\/(g**5\/g)*g*g\/(g*g\/g**14))**(-9) assuming g is positive.\nAnswer: g**(-837\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*f*f**(-21)*f)))\/f**(2\/7)*(f**(-10)\/f)**(-17) assuming f is positive.\nAnswer: f**(1188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2 - 231 - 193*g + 244 - g**3 + 184*g. Determine a(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)*1 + sqrt(108))*-2 - sqrt(108))\/(sqrt(36)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32705489053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -883 + 885. Suppose 5*a + 2*u - 253 = 0, -h*a + 146 = 4*u + 48. What is the greatest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/48*-2*(-2344)\/5860\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2923117*n**3*p**6 - 3*n**3*p**3 - 91*n**3*p + 2519*n**2*p**2 - n**2 - 2 wrt p?\nAnswer: 350774040*n**3*p**3 - 18*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 9. Let j(a) = a + 9. Let f(l) = 3*j(l) + 2*x(l). What is the units digit of f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0314775 times 8?\nAnswer: -0.25182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(4 + -6) - -7. Suppose w - 2*r = -r + l, 5*r = -w + 5. What is the units digit of (w\/(-10))\/((-1)\/106)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/(-90))\/(3\/882). Let q = t - -107. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213198 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.5 (b) 0.14 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 34611903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*f - 13, -7524*x + 7 = -3*f - 7522*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1539) - 2*sqrt(1539)) + 2 + sqrt(1539) + -1 + sqrt(1539))**2.\nAnswer: 90*sqrt(19) + 38476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 164. Give d(41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2007266 in decreasing order.\nAnswer: 2, -3, -2007266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-90)\/(-63))\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6307589 - -16887.\nAnswer: 6324476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 8*m - 5. Let t be r(6). Let c = -5 + t. Suppose -2*z + 4*j = -2, 6 = z + 4*j - 1. Solve -5*i + 12 = c, -z*i + 16 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 44\/51057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 2. What is z(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -171738*y**3 + y**2 + 2*y + 855942 wrt y.\nAnswer: -515214*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -51875?\nAnswer: -518.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 3*i - 5. Let l(y) = -y**2 + 1. Let m(o) = 5*l(o) + t(o). Let w(j) = 7*j**2 - 7*j. Calculate 9*m(f) + 4*w(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345 - -500. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644874 to the power of 1\/2, to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -121222 (base 3) in base 10?\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7600\/9 + 15599\/18. Let x = 25\/186 + 1\/31. Calculate the common denominator of x and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1710 + 1716 - 6853 + 5*n + 1717 + 1710.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1929.998019 - -1930. What is c rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003255547458 rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/25)\/(480\/1188 + 2\/(-9))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.39163.\nAnswer: -0.078326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2703383 or -2703379?\nAnswer: -2703379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418979405?\nAnswer: 3, 5, 1217, 77731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2217 + -1821. Calculate the highest common divisor of 108 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q**2 + q**3 + 15 - 12*q + 4*q + q**2. Let y be k(-13). Round y to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 0. Let z = -2 + 4. Suppose -l - 2*l - z*d + 3 = f, 5*l + 14 = 3*d. Put -4, -2, l in ascending order.\nAnswer: -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*v + 19, -495*v = -y - 491*v + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:31 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.138 rounded to one decimal place?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -27. Suppose 0*f + f = 4. Factor -5 + 24*h**3 + v + 4*h**5 + 16*h**4 - 12*h**2 + f*h + 28*h**2.\nAnswer: 4*h*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 64 = -10*o. Solve q - 7 = -o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = -u - 5, -4*q + 4*u - 44 = 0. Let a(h) = -h**2 - 20*h - 3. Calculate a(q).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**3 + 6*a**2 - 5*a + 6. Let j be h(3). Let u(g) = -3*g + 8. Let w be u(-5). Calculate the greatest common divisor of w and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001026284 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, 791, 1940, 3095, 4256, 5423?\nAnswer: 6596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 52*b - 228. Let t be l(-41). Suppose -5*g - 2*c + 2759 = 0, 4*g - 1977 = 2*c + t. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + g + 29 = 0, 367*g = 365*g - 74 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 2*c = 8, 3*y - 169*c + 166*c + 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 16*z**2 + 12*z - 111. Give i(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*d - 3*d = -324, -4*f = -3*d - 257. Is f less than or equal to 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -854919.300109 + 854927. Let n = 40.3 - 48. Let x = n + d. Round x to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((128\/1728)\/((-8)\/(-44)))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 + -73. Calculate the remainder when g is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 352 - -40?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104375 and 45625?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 17. Let q be (1 + (-4)\/f)*-125. Suppose -6*x + 123 = -x + 3*w, 0 = 5*x + 5*w - q. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(768).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 64*a + 3. Is 22 a factor of x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-3*h**4 + 2*h**4 + 2*h**4) + 745382*h - 1365*h**4 - 745382*h as t + m*h + i*h**4 + d*h**3 + y*h**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 304\/(-160) - (-8)\/20.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*l**2*m**3 - 8*a - 4*l**2*m - l**2 with respect to m.\nAnswer: -9*a*l**2*m**2 - 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10427*p + 370140 = 10458*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153.5 * 107865\nAnswer: 16557277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1310412012 (base 5) to base 11\nAnswer: 18a7678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlbkubbbjbkjbtbjb. What is prob of sequence kubk?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y + 2*y)*(-11*y - 21*y**3 + 12*y - y**2 - 3*y).\nAnswer: -84*y**4 - 4*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*h - 3*u, -4770*h + 4763*h = u + 65 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from caacacccccc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000694 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 11*t**2 + 8*t - 37. Give h(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5822, -14657, -26510, -41381, -59270, -80177?\nAnswer: -104102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 310, 616, 922, 1228, 1534?\n\"Answer: 306*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1365\/2, 1\/7, 2088, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(8)*-2 + 2)*-4*-1)**2 + (0 + sqrt(1152) - sqrt(8)) + sqrt(128)*1.\nAnswer: -226*sqrt(2) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = u - 3*s - 31, 12 = 4*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3566 in 2\/7, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 + 120*w**4 - 1156*w**3 + 2296*w**2 + 528*w - 3040 = 0 for w.\nAnswer: -38, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vukuvuukvuuduu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.061 - -0.060999994. Round q to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*d = -22, 3*b - 3*d = 23 - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 32 = -3*g. Let i be (g - 1) + (-30)\/(-10). Let d = -3 + i. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 13, a: 3}. Give prob of picking 1 j and 2 a.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6738 - -6713. Let a = -8.9 - -9. Put d, a, -2 in ascending order.\nAnswer: d, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16\/9)*i*i**(17\/3)*(i*i**25*i)\/i**(1\/49) assuming i is positive.\nAnswer: i**(14054\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 488 = 24. Suppose 5*n = -2*f + 987, 5*f - 1484 = 2*f - 4*n. What is the greatest common factor of f and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.82 - -105.18. Let i = 105 - k. Let t = -0.42 + 0.02. Which is the biggest value? (a) t (b) 7 (c) 1\/2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0 (c) -222\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7288 + -838144\/115. Let z be (-2)\/92*39588\/45. Let s = z + u. What is the common denominator of s and -5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 - 3*k + 3. Let w = -5 + 8. Let d be p(w). Solve 0 = -2*t + d*a - 4, 6*t - 3*t - 4*a + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 75*o - 1467. Calculate the remainder when 149 is divided by d(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 1215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((31*h - 24 + 24)*(4*h - 5*h + 2*h) + 2*h**2 - h**2 + h**2)*(11 + 8 - 27).\nAnswer: -264*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237447534 less than 41.7?\nAnswer: -237447492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 64 + 9)*(-42*q - 32*q + 15*q).\nAnswer: -6136*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145896 divided by 12.\nAnswer: -12158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 3*b - b)*(-117*b**3 - 115*b**3 - 3*b**2 - 30*b**3 - 2) in the form v + s*b**4 + a*b**2 + m*b + g*b**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 765 and 935?\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/409216 and -19\/3026432.\nAnswer: 420674048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 + 251. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-42)*(-800)\/(-40).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-2) - (-2)\/(-4). Suppose p - 3*p + 18 = -3*y, -3*y - 12 = 0. Solve -a = -0*r + p*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -25. Suppose 12*p - m = 10*p. Let h be ((-20)\/8)\/(p\/2). Let c(t) = -t**3 - 4*t**2 + 3*t - 6. Calculate c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 divided by 289147.\nAnswer: -103\/289147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65061\/568 smaller than 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 5*j**2 - 2*j + 5. Let u be z(-5). Let a be (6\/u)\/(1\/(-10)). Let p be a\/8 - (-17)\/2. Solve w = 3*w - p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(700) + 0 + 2)*1 + -2 - (-4 + 4 + (sqrt(700) - (sqrt(700) + sqrt(700) + 1) - sqrt(700)) + 2 + sqrt(700) + sqrt(700))))**2 + -1.\nAnswer: 80*sqrt(7) + 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10)*(-240)\/(-90)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 8, -144*u - 4*x = -149*u + 44124. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162938 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 123. What is q(0)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*p - 13 = 0, 3*b + 2*p = -p + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/31 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62026985 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -11. Let p = 2 + d. Let y = p - -38. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 5. Let c = z + 11. Sort c, -11, -1 in ascending order.\nAnswer: -11, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*c = -0 + 24, 0 = 2*h - c - 25. Suppose 3*l = h*l - 48. Solve -z = z + l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 3. Let m(x) = 67*x + 2. Is m(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:18 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6794539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*x - 952 = -78*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 18*z**2 - z - 12. Suppose -5*i - 46 = 2*l, -3*i + 4*i - 70 = 4*l. Calculate b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2937509 - 6656941. Let x = -13994450 - z. What is x rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1229344858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -211. Suppose -5*w = y - n, -w - 4*y + 57 = -0*y. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 27*o - 114. Let m be h(-22). Suppose 0 = -4*q - 0 + 20. Put 16, q, m in ascending order.\nAnswer: m, q, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 2*g**2 + 0*g**2)*(g + g - g) - 2*g**2 + 2*g**2 + 3*g**3 + (-2 - 3 + 3)*(4*g + g**3 - 4*g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877602068.\nAnswer: 2, 7, 97, 323123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394356140 divided by 314228.\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -43 + 9. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 3, a: 9, s: 1}. What is prob of sequence as?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n**3 - 2*n**2 - 1. Let b(u) = -59*u**3 - 84*u**2 + 80*u + 1. Let r(x) = b(x) + 4*g(x). Find the second derivative of r(t) wrt t.\nAnswer: -42*t - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 5*r**4 + r**2 + 17*r**3 - 19*r**3)*(103 - 76 + 105).\nAnswer: 396*r**4 - 264*r**3 + 132*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.87 + -18.57. Let a = -0.3 + v. Let b = a - -16.000012. Round b to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.409 - 2?\nAnswer: -4.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/((-14)\/63). Suppose 0 = 4*a + 3*f - 60, -v*a + 3*f + 50 = 4*f. Suppose 13*n = a*n. Solve -3*m = -n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -11. Which is bigger: 2\/7 or n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 3*o**2 - o. What is f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -248*k**2 + 146*k + 308673 wrt k.\nAnswer: -496*k + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*c - 218 - 24, -460 = -2*q - 4*c. Suppose 3*s = 5*p + q, -5*p - 2*s - s = 246. Let a = 4 + -3.9. Are a and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -983032 - -0.2.\nAnswer: -983031.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -504 divided by -5\nAnswer: 504\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, h: 4, y: 3, b: 1, k: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (408\/(-340))\/(6 + -4 + (-22)\/8).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24255261.35 to the nearest one thousand.\nAnswer: 24255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1211433 (base 8) to base 4\nAnswer: -1101030123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 14 = -850. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -101, -5, -3, 4, -6 in decreasing order.\nAnswer: 5, 4, -3, -5, -6, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 87*w**3 - 5*w**2 + 4*w - 2. Let p be v(2). What is the smallest common multiple of 20 and (-7)\/(-126)*p - (-1)\/9?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 71*d**2 - 2*d - 3. Let y be s(-3). Let n = y - -149. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by -66\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24852 or -24799?\nAnswer: -24799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8784449467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*y**2*z + 1404153*y**2 + 291697344*y*z wrt y.\nAnswer: -56*z + 2808306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -196944 divided by -1?\nAnswer: 196944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 3*d**2 + 4*d**2 + 3 + d**2 to the form l*d + t + k*d**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142872559 to the power of 1\/2, to the nearest integer?\nAnswer: 33806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3061 or -3058?\nAnswer: -3058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 64*r**2 - 188*r + 247. What is i(61)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 98. Let n = 36 + p. Let d = n - 55. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107466599.\nAnswer: 139, 223, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 1:58 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 397, 1\/7, 3\/28, 0.2, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202 + -598.79.\nAnswer: -800.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30*1*2\/5. Let s(o) = o**3 - o**2 - o + 1. Let v = -55 + 60. Let m be s(v). Calculate the highest common divisor of n and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208031967 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**4)**11)**26*(y**(1\/4))**(-1\/45)*y**9*y*y**9\/y*y assuming y is positive.\nAnswer: y**(-99541\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d - 4*y = 9, 0 = 2*d + y - 14. Let m(r) = r**2 - 4*r + 8. Let a be m(d). Solve -5*x = -q + 8, 0 = -5*q - x + 1 + a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -137*y - y**3 - 66*y + 22*y**2 + 122*y - 4*y**2.\nAnswer: -y*(y - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11097 and 5589.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 11*x**2 + 16*x + 13. Determine m(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*n - w, 4*n + 5*w + 1 = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 11) to base 6\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 1696*u**3 + 539328*u**2 + 76225024*u + 4039926272.\nAnswer: 2*(u + 212)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 416155 equal to 416155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-18))\/((-156)\/1248)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 5*k**3\/6 - 16*k. Let c(p) = 4*p. Give c(x(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 151763479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**4 + 30*u**3 + 5027*u wrt u.\nAnswer: -48*u**2 + 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 50*m**2 + 5*m + 3. Let f be h(-3). Let p be (1*-6)\/((-4)\/f). Find the common denominator of -109\/12 and (1\/(-3))\/((-12)\/p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*q - 179 - 179, -4*q + 476 = 4*g. Suppose 5*a - 6*a + 26 = -3*l, -q = -4*a - 4*l. Calculate the remainder when 170 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20688682 is divided by 1001.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - w - 36 + 9, 5*n = -5*w + 65. Let c be ((-18)\/(-24))\/(2\/n). Factor 2*g**c - 4*g**2 - 5*g + 5*g + 2*g.\nAnswer: 2*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15491 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23263571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.05128\nAnswer: -0.15384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -12, -51, -126, -249, -432, -687, -1026?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1453525 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273 - -292. Suppose -s + 3*x = -19, -4*s + 54 = 3*x - 7. Are t and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 2*a + 2. Let g be (-4)\/3*(-3)\/2. Suppose g = -5*n - 8. Calculate z(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 868.\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 6*f - 6. Let q be d(6). Let v(i) = -i**3 - 6*i**2 - 8*i. Let p be v(q). Suppose 17 = 3*c - 1. What is the highest common factor of p and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-884)\/119)\/(428\/(-6741))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2, -6\/5, -10, 3.9?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2122 - -4473. Suppose 6*b - 2*z = 5*b + 777, -2*z = -3*b + p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/3458 and -47\/1862?\nAnswer: 24206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/6016240 and 109\/177479080.\nAnswer: 354958160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 - 304?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 10, -3*m + 2*m + 2*j = -14. Suppose -5*l + 10 = -10. What is the greatest common divisor of m and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuif when four letters picked without replacement from {u: 1, c: 1, f: 2, i: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85149.18 tonnes to grams.\nAnswer: 85149180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -625*m**3 - 7*m**2 + 4*m**4 + 0*m**4 - 1152 + 665*m**3 - 169*m**2 - 1056*m = 0. Calculate m.\nAnswer: -12, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -27*c + 6. Let p be h(-7). Suppose -p = -4*l + u - 48, l + 2*u = 48. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 - (-780)\/(-66). Let l be w\/4 + 3 + -15. What is the tens digit of (l\/4)\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 3*u**5\/4 - 50*u**2 + 12*u. Let s(l) = 5*l - 4. Let z(g) = -4*g + 3. Let y(a) = 3*s(a) + 4*z(a). Determine t(y(c)).\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(189)\/sqrt(3))\/((sqrt(108)*-3)\/sqrt(12)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 74646 and 74614 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10130311 + -31?\nAnswer: -10131002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3784419031.\nAnswer: 19, 1279, 155731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -810000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -86, -3 in descending order.\nAnswer: 3, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1425414, -2850842, -4276268, -5701692?\nAnswer: -7127114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -154*g**2 - 716*g + 13. What is the remainder when n(-3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 49 = -171. Let x = 17 - p. Let j = -24 - x. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzdu when four letters picked without replacement from {u: 2, h: 1, s: 2, z: 2, w: 1, d: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(3) + (sqrt(3)*1 - sqrt(3)) + sqrt(3)) - sqrt(45))\/(sqrt(1089) - (sqrt(1089) + (sqrt(1089)*2 - sqrt(1089)))).\nAnswer: sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 698*u**2 - 1410*u**2 + 445 + 713*u**2.\nAnswer: u**2 + 445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*x - 41, x - 3*d - 1 = -3*x. Let g(m) be the second derivative of m**5\/20 - m**4\/4 - m**2\/2 + 3*m. Let s be g(4). Solve -x*l = -l + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h - 26 + 26)*(h - h - 2*h).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 55, -2\/17, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = -3*s, 0*s + 42 = 2*k - 4*s. Suppose -4*f - u + 3*u = -10, -5*f = -u - k. Find the second derivative of -3*n + 8*n + f*n**2 + n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1\/60*k**6 - 1\/5*k**5 + 0*k + 1\/210*k**7 + 0 - 5\/6*k**3 - 7\/12*k**4 - 67*k**2. Suppose q(b) = 0. Calculate b.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 236459120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849598957.\nAnswer: 53, 16030169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - z**2)*(6103*z + 35*z**3 + 6428*z - 12700*z - 2*z**2).\nAnswer: -35*z**5 + 2*z**4 + 169*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1439 = -5*r + 11. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1050 + 1012 - (-3 - 2 - 144)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 1191?\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 4.11. Suppose -23 = 4*s + 5*l, 60*s + 4*l = 59*s + 8. Let o be (-15)\/s + 95\/(-140). What is the smallest value in -1\/6, o, a, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16335809 and 3092?\nAnswer: 65343236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -16060696.\nAnswer: -16060696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154032935, -154032936, -154032937, -154032938?\nAnswer: -154032939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81e + -5b?\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -114 + 114 + 40*m. Let u(r) be the first derivative of r**2 + 258. Determine c(u(k)).\nAnswer: 80*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*y + 32, 5*d - 30 = 5*y - 0*d. Let l = 7 + y. Let q be (-1 - -3)\/(l\/(-2)). Let p(c) = -c**2 + 3*c - 1. Calculate p(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0104889413 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 835*c + 893*c - 50 + 25 + 25 as a*c + w and give a.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24582946 and 1546.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15*c\/(c\/((c*((c\/c**(9\/5))\/c)\/c)\/c))*c)\/((c\/((c*c*((c\/c**(-14))\/c)\/c)\/c))\/c*c*((c*((c\/c**(8\/5))\/c)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 665.0088 kilograms in grams?\nAnswer: 665008.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, 3, -0.402, -4, 2?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2 + 3 - 2 + 7*u**2. Suppose 0 = -41*b + 42*b - 1. Give x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/(1\/(-12)). Suppose -n + 4 = 0, 0 = -3*q - 2*n + 6*n - 91. Let g = q + 37. What is the greatest common factor of g and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 - 267. Which is the biggest value? (a) -1\/3 (b) p (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 minus 35947.59519?\nAnswer: -36011.59519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76272 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45124 and 5217268?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2026, -24.955 in ascending order.\nAnswer: -24.955, -0.3, 2026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/(-41) + (-6)\/(-123).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmtwwttmwwwtwwtttt. What is prob of picking 2 t, 1 m, and 1 w?\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 7536\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 11 = w, -168*w + 173*w = -5*k - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = 0, 0 = d - 2*x - 52 + 9. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-26)*(-531440)\/25550\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/11 and 2023\/161*(-6)\/154 - (-2)\/23?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 1640578?\nAnswer: 1640580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 67753 and 67752 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21102035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2 + 2*r + 332. What is the hundreds digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 18*t**2 - 18*t - 326. Give v(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2651\/90 - 316\/15. Calculate the common denominator of x and 99\/116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012501 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.3, 1, -2, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (588\/20)\/(-7)*2*(-30)\/36\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -45*o**2 - 10*o + 1. Let y(v) = 2*v**2 - 2*v + 1. Determine -h(j) + 5*y(j).\nAnswer: 55*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 1 + -1 + 0. Suppose -121 = 4*i + 659. Let w = 228 + i. Calculate the greatest common divisor of n and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 4*z**2 - 52 + 52. Let w(o) be the first derivative of -o**3 + 4. Give s(w(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/1950*2\/4*30485\/(-3484)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1. Let m(b) = -b - 1. Let o(d) = m(d) + 3*q(d). Let w = -10 + 28. Let j(s) = -4 + 4*s - 5 + 0 + 0*s. Calculate w*o(n) + 4*j(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 616, 612, 606, 598, 588, 576?\n\"Answer: -n**2 - n + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1025, 6671, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 288 = b, -5*b - 7*w + 1344 = -3*w. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66197541757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 82.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 707*c**5 + 645*c**3 + 12*c**2 + 179608589*c wrt c?\nAnswer: 14140*c**3 + 3870*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -3, -0.3, 5\/3, -3\/1366?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 25*u**2 - 15*u + 3. Let b be m(-4). Which is greater: b or -220?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1\/3 (b) 2 (c) 4\/305 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 19. Suppose -4*s + z = -77. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 864*x - 18080.\nAnswer: 2*(x - 452)*(x + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8 = -3*h, 3*v - 8 = -11*h - 13 - 13 - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(19) - -3*(sqrt(19) - (sqrt(304))**2).\nAnswer: -913 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + 16\/6. Solve 5*p = w*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 1 + (3 - 4). Let o be (-42)\/9*9\/g. What is the units digit of 2\/(-7) - (-65)\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 3540*d**3 + 1019079*d**2 - 14969178*d.\nAnswer: 3*d*(d - 14)*(d + 597)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-25)*-2*30\/(-12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120214*f = 2*z + 240429*f - 120211*f + 2, -2*f - 78 = -10*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + s**3 - 6*s**3 - 2*s**3 + 2*s**3 - 1 - 3*s**3 + (s + 2*s - 7*s)*(3*s**2 - 8*s**2 + 4*s**2) to the form j*s**2 + l + q*s + c*s**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/6 + 16*g. Let q(u) = 51*u. Calculate p(q(f)).\nAnswer: 5202*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.1. Let k be 22\/99 - 3\/((-27)\/(-2)). Suppose -j + 15 = -5*m - 7, k = j - m - 6. What is the nearest to 0.1 in h, j, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 15*q**2 - 2780*q + 925 = 0.\nAnswer: 1\/3, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + a + 31, 3*a - 39 = -4*s + 1. Suppose 0 = -x - 4 + s. Let c be 12 + (x\/(-1))\/3. Is 12 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + sqrt(153)*1 + (sqrt(34)\/sqrt(2))**2 + -1 + 4*sqrt(68)*-1.\nAnswer: -2*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9453*t = -6112*t + 326865 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = 65*o - 1313. What is the remainder when 76 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rux when three letters picked without replacement from rxufrf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -16, -90.\nAnswer: -90, -16, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18701845 to the power of 1\/2, to the nearest integer?\nAnswer: 4325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 109212936 a multiple of 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/13, 0.3, 5, 2\/73 in decreasing order.\nAnswer: 5, 0.3, 2\/73, -9\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458990 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v + 25. Let p(u) = u**3 - 3. Let s be p(2). Is o(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*f - 793 = 218*f + 647 - 68 for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11010*o**2 + 54260*o - 2 - 27127*o - 27133*o.\nAnswer: -11010*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -4, -629.4, 4, 57\/8?\nAnswer: 57\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15976 - -15977. Which is the second smallest value? (a) -8 (b) s (c) 1\/4 (d) 0 (e) 125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11016 - 11000.983. Let w = -15 + c. What is w rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4100, -394, 3306, 6994, 10664, 14310?\n\"Answer: -g**3 + 3*g**2 + 3704*g - 7806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -131*f**7\/70 - f**6\/40 + f**5\/30 + 193*f**4\/12 + f**3\/3 - f**2 - 5*f - 26. Find the third derivative of q(v) wrt v.\nAnswer: -9432*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 66.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4676 and 154?\nAnswer: 51436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-196)\/(-21))*-56)\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3337*l**3 - 2*l**2 + 55*l - 1?\nAnswer: 20022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 1495 + 1495 + (-3*p - 2*p + 3*p)*(0*p**2 - 2*p**2 + 0*p**2) + 8*p**3 + 31*p**2 - 31*p**2 as o*p + l*p**3 + n*p**2 + y and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 14*f**2. Let g(p) be the third derivative of p**8\/20160 - p**5\/20 + 5*p**2. Let j(s) be the third derivative of g(s). Calculate j(x(v)).\nAnswer: 196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*h - 3*h**3 - 2*h - 5*h**3 - 54*h**2 + 38*h**2 - 27*h to t*h + j*h**3 + m*h**2 + p and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.082 in -1, 0.2, 2\/5, 2\/29, 5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3043917945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7507, -7511, -7517, -7525, -7535, -7547, -7561?\nAnswer: -7577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000011000110101110 (base 2) to base 12.\nAnswer: -1809892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231170 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - 10*l + 17*l)*(-4*l + 3*l + 3*l)*(2*l**2 - 3*l**2 - 2*l**2).\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142\/111 + 173\/222. What is the nearest to -1\/5 in v, -2, 2\/17, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:19 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4138 + -0.0138. Sort -3, 4, -80, q in ascending order.\nAnswer: -80, -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 42*z + 5. Let c(p) = 90*p + 9. Determine 2*c(y) - 5*l(y).\nAnswer: -30*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6)*2469\/(-823)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9713\/6 + -1643. What is the common denominator of 20 + 7821\/(-315) - 3\/5 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2719.2 times 2?\nAnswer: 5438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*i + (-2*i - 2*i + 2*i)*(-5 + 4 + 3) + (3 - 3 + 9)*(-6*i - 5*i + 6*i) - 2*i + 0*i + 0*i.\nAnswer: -53*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 985547?\nAnswer: -33\/985547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + 5 - (1 + sqrt(5)*-1).\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*h + 1 = -5*l, 4*h = 2*l - 6. Let d = -0.1 - -0.15. Is d != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1\/6, 3, 0, 2 in ascending order.\nAnswer: -1\/6, -1\/10, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(242))*5 + 5 + (sqrt(200) - (2 + sqrt(200))))*-5*-3)**2 + -4 + -1.\nAnswer: 321750*sqrt(2) + 1399270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 6 - 8\/368*-418\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4435659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 1456 = 4*g. Suppose -9*l = 4*l - g. Find the third derivative of -3*y**2 - 11*y**2 + l*y**2 + 33*y**6 wrt y.\nAnswer: 3960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31825 + 31822 + 2 + -1 + (-1 - -50)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and 0.0316.\nAnswer: -0.009164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 14 = 2*v + 16, -3*v + 10*m + 793 = 786 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + -58?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klrrd. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 6*c - 1. Let v = -5 + 5. Suppose v = -y - 0*d - d + 8, d = 5*y - 10. Let x be r(y). Solve x = -3*z + 2*w, -2*z + w = -3*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68329 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 26*m**2 + 17*m - 14. Let j(u) = u + 1. Let d(h) = -4*j(h) + y(h). What is the hundreds digit of d(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.5 (c) -4198 (d) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57.3 and 66.\nAnswer: 3781.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52047, -52052, -52057, -52062, -52067?\n\"Answer: -5*z - 52042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433611476.\nAnswer: 2, 421, 257489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 8*n**2 - 18515 + 18515.\nAnswer: -3*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 14 - -6 - -20 - -22?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 14 - (4 + 1)) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169 + 98. Let c = h - -153. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 15, 2*k - 4*s = 7*k. Suppose -k = -2*d + b + 10, -d + 7 = 3*b. Let o = d - -1. What is the remainder when 14 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d8 - -1472?\nAnswer: 1c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22772 + 62456. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 3*2\/15 + 26\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87834472*r**2 - 19955672?\nAnswer: 175668944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/5? (a) 14078 (b) -2 (c) -6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13521 or 13520?\nAnswer: 13521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 12. Let q be u(-8). Let v = 5 - q. Suppose 2*k - 39 = -5*g + 23, -k + v = 0. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 2, z: 1, w: 6, s: 3}. What is prob of sequence wzys?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**(-10\/9))**34 assuming a is positive.\nAnswer: a**(680\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 12*h**3 - 22124*h**2 - 7384*h + 14752 = 0?\nAnswer: -1, 2\/3, 1844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -3*y**4\/20 - y**3\/15 + 6*y. Factor h(g).\nAnswer: -g*(9*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 18.\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 17477862?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01195? (a) -9 (b) 5\/2 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/30 + p**2. Let u(i) = -2*i - 3*i + 3*i - i. What is u(o(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 290 = 3*k, -188 = -5*k + 4*b + 314. What is the nearest to 7 in k, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0 + 0*u - 4*u**2 + 0*u**3 + 0*u**4 + 1\/6*u**5. Let m(d) = -3*d**2. Determine m(n(p)).\nAnswer: -300*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20793 is divided by 311.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 + -0.3. Let r = h + 1.98. Let a be (-16)\/(-18) + (-10)\/45. What is the smallest value in -4, a, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -438\/11. Which is the closest to -0.06? (a) -0.2 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 2*v + 2. Let k be z(-2). Let s be 1015\/91 - 8 - 6\/k. Sort 2, -3\/4, -2, s.\nAnswer: -2, -3\/4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25383, -51009, -76635, -102261, -127887?\nAnswer: -153513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 6*c + 2. Let p(s) = -s**3 + 21*s**2 + 21*s + 22. Let m be p(22). Suppose l - 16*l - 60 = m. Determine n(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - ((-700)\/(-24))\/(-5))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421792 by 1.\nAnswer: 421792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:59 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*f - 130. Let g = f + -15. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 528, 527, 540, 573, 632, 723?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017635313 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.012 - -0.012. Let p = x - -8.999. Let i = -0.071 - p. Which is the third smallest value? (a) i (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.276 + 0.076. Sort 2, -7, 0.1, h in decreasing order.\nAnswer: 2, 0.1, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59133820*v**2 - 178685695*v wrt v?\nAnswer: 118267640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*r - 400, -4*v + r = 445 - 21. What are the prime factors of (2\/3)\/((-10)\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -1, -4, 7 in ascending order.\nAnswer: -4, -1, -0.11, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose 0 = -4*m - r*p - 5 - 5, -3*p = 4*m + 15. Suppose 5*y - 3*y - 5*d + 2 = 0, 4*y + 3*d - 22 = m. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32171*b*s**2 - 139*b - 10393414*s**2 wrt b?\nAnswer: -32171*s**2 - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/232)\/(((-3)\/(-21))\/((-3000)\/(-175))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**9\/20160 + m**8\/5040 - m**5\/30 + m**2. Let z(j) be the third derivative of y(j). Find the third derivative of z(r) wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 426 + -404. Calculate the smallest common multiple of 2 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 194199*k. Let o(h) = 2*h. Determine o(v(x)).\nAnswer: 388398*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 215, 72, -75, -226, -381, -540?\n\"Answer: -2*n**2 - 137*n + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -374*n - 1774 + 1400. Let g = 0.5 - -3.5. What is the nearest to n in g, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88995167*s**2 - 2*s - 291006348 wrt s?\nAnswer: -177990334*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*f + 6, -5*f + 2*l - 2 = 5*l. Let w = 40 + -6. Let s = 26 - w. What is the third biggest value in f, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 8.\nAnswer: 2*(i - 6)*(i + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 19 - 7. Suppose k*o + 12 = 48. Is 1\/3 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -497*r**3 + 26 + 11*r - 26 + 2*r**2 - 6*r + 496*r**3. Let c be -1 + (1 - -13) + 2. Let w = c + -11. Determine d(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + 20 + (-3 - 5) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70440, 70911, 71382, 71853?\n\"Answer: 471*a + 69969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1404240 - -2?\nAnswer: -1404236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 16 + (14 - (6 + (4 - 5)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6667 = -5*b, 3340 = 3*a - 2*a - 4*b. Suppose p = 3*x + 678, -5*p = x + 2*x - a. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -1. Solve -4*a + o = -5*s, 2*s - a - 4 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/22)*f**11 assuming f is positive.\nAnswer: f**(245\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11676 = -19*q + 7*q. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -515 - -907. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 94512\nAnswer: -94512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 - 682*t - 3460 = 0 for t.\nAnswer: -5, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-1)*l))**(-3\/17)*l**(4\/3)\/l*l*l\/(l**0*l))\/(((l*l*l**(1\/2))\/l*l)\/l**(-2\/9))**(-15\/8) assuming l is positive.\nAnswer: l**(1847\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 3. Let t be (2\/(-9))\/((-29)\/((-841)\/(-29))). What is the third smallest value in w, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3520 by -1.\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9779*w**4 - 1795 wrt w?\nAnswer: 39116*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 d, and 1 k when four letters picked without replacement from ddookoooooqoooxo?\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.2. Let r = 58 - 176\/3. Which is greater: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 3341014?\nAnswer: -3341013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 3}. Give prob of picking 2 l.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-14)\/133 - 10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003223 (base 4) in base 16?\nAnswer: 20eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 1. Let m be o(-10). Let g = 24 - 14. Let j = m - g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -15*r**3 + 425*r**2\/2 - 180*r - 871. Let s(c) = 0. Calculate c.\nAnswer: 4\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:09 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 11. Determine l(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x - 9. What is g(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w**3 + 16*w**2 - 28*w - 174. Give s(5).\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3088094488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -111 (b) -2 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4039 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: Simplify ((sqrt(192)*1 + sqrt(192) - (sqrt(1323) + sqrt(27))) + (-3*(-2*sqrt(27) - sqrt(27)))\/(sqrt(1089)*-1 - sqrt(1089)) + 3)**2.\nAnswer: -555*sqrt(3)\/11 + 107031\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a decade?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 3*l - 19*l**4 + 4*l - 4*l - l**4 + (2*l**3 - 2*l**3 + 2*l**3)*(-l - 3*l + 2*l) to the form h*l**3 + c*l**2 + r*l**4 + q + p*l and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 4*m + 7. Let b be q(4). Let d be -2 - b\/6 - (-28)\/8. Solve -5*h - d*p = -12, 2*h - h - p = -4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0851 - 29026\nAnswer: -29025.9149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 7*o)*(1002*o + o**2 + 2648*o - 553*o + 3*o**2).\nAnswer: -28*o**3 - 21679*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.7, 1\/4, 0.01 in increasing order.\nAnswer: -1.7, 0.01, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, g: 2, b: 2, w: 1}. Give prob of sequence ge.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 + 4*n + 3. Let f be i(-4). What is the remainder when f\/(54\/(-21) - -3) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333795 to the power of 1\/2, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923464.\nAnswer: 2, 89, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -926040639 by -267.\nAnswer: 3468317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488620125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0*s - 61 + 65 - s. Let a be o(-16). Calculate the highest common factor of a and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/(-12))\/((-28)\/(-222)) and -1 + (-13)\/8*3?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3, -1258, -4\/9, 1\/80064?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 + i**2 - 2*i + 3. Let t(r) = -3*r**3 - r + 2. Determine 2*d(w) - 3*t(w).\nAnswer: 3*w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*u - 3*d, -5*u - 6*d + 8*d + 16 = 0. Find the first derivative of 88 + 210*g**2 - 210*g**u + 58*g**3 wrt g.\nAnswer: 174*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hysedfhy. What is prob of picking 1 f, 1 s, 1 h, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 306 - 199. Suppose -8*k + 7*k = -x. Let g = 266 + -239. Calculate the remainder when k is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.4, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3147*s - 15747. Give x(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 32 = -4*s, 0 = -3*s - 2*f - 2*f + 27. Suppose 4*q - s*q = 3*c - 67, -c + q + 17 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*r - 370050 = -293*r - 2600*r for r.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/7 - 96*h**4\/7 - 184*h**3\/7 = 0. What is h?\nAnswer: -46, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 + 1.8. Let c = 0.6 - -3.4. Is c < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*q + 4 = 0, 5*k + 4*q - 23 = -0*q. Suppose 2*d + k*d - 20 = 0. What is the remainder when 10 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 4, -0.04716, 1\/8?\nAnswer: -0.04716","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/15 - -2\/15. What is the second smallest value in 6\/5, m, -1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 109 = -5*z, -47 = -2*z + 2*v + v. Suppose 86 - z = t. Suppose 0*w = w - t. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/28 and 109\/154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*v + u + 28, -5*v + 2*u + 48 = 0. Let o be v - (-7)\/(28\/(-16)). Suppose 44 = o*x - 20. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15344034?\nAnswer: 2, 3, 43, 59473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9*i + 3460 = 0. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/(-675))\/(4\/5)*3\/15?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/64*(-4)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 2*w**2 + w + 6. Let m(k) = k**3 + k**2 - k - 7. Let n = -6 - -9. Let u(f) = n*m(f) + 4*a(f). Calculate u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(84\/8)*17499\/(-38) is divided by 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmdmmmmdg. Give prob of picking 2 m.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from pprpprrp.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w, 4*w - 140 = -4*g - 0*w. Let m(v) = v**2 - 7*v + 13. Let t be m(9). Let j = g - t. Solve -6 = j*h - 0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*24.06\nAnswer: -96.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 7*t**4\/12 - t**3 - t**2\/2 + 3*t. Is a(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105*9\/1512 + 57\/(-104)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 52 = -2*t - 9, 0 = 3*t - 5*b - 27. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 364a?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/3 - 5*f**2 - 5*f + 4. Let y be j(11). Let u be (-3 + 16\/y)*3. Which is greater: u or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-14)\/((c\/(c*c*c**(-3\/4)*c))\/((c\/((c*c\/(c*c**(-2\/5))*c*c)\/c))\/c*c))*c**(-1\/7)*((c\/(c*c**1))\/c)\/c*c**(-7)\/c**(-1) assuming c is positive.\nAnswer: c**(659\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507572.568 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 36. Suppose 0 = -x - 4*x - 60. Let m be s(x). Let u be -1*5*(-4)\/10. Solve m = -2*j - 2*j + 4*w - 16, 8 = -u*j + 3*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10747 - -10766. Which is smaller: b or 11\/8?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -315, -66, -151 in decreasing order.\nAnswer: 2, -4, -66, -151, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 171*u**2\/8 - 2631093*u\/2 + 92319\/2 = 0.\nAnswer: 2\/57, 61546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343187387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Let n = 4 - g. Suppose 0*d + 30 = n*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 1. Let c(r) = -r. Let x(w) = -3*c(w) - k(w). Let m be x(-2). List the prime factors of (-2)\/(m + 18\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -407005570307\/4734 - -85974977. Let s be (-2)\/(-4734)*(-3 - -1). Let n = s + p. Find the common denominator of n and 73\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) 2 (c) -3\/5 (d) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200491547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:59 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42170.9 minus -16725?\nAnswer: -25445.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -579, -578, -577, -576?\n\"Answer: d - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6183175 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbzbhhbzzzwzrbzhzbb. What is prob of picking 2 b, 1 r, and 1 h?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28755 - 28766 + 3353*t + 57521.\nAnswer: 3353*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2576674 or 2576672?\nAnswer: 2576674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (1 + -131)) + -1. Suppose p - 5*q - 12 = 0, 5*p - 14 - 6 = 5*q. Suppose -v = -p*v + 12. What is the highest common factor of g and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 352 = -42*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2680884 and 17304?\nAnswer: 37532376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140136, 280472, 420808, 561144, 701480?\nAnswer: 841816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -14. Is f greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-472)\/(-177)*(-6)\/4. Let d = 0.1 + -0.3. Which is the closest to d? (a) 3 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from nqjqnjjjqjqnnnnqnn?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4352, -4356, -4370, -4400, -4452?\n\"Answer: -c**3 + c**2 - 4352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 11*p - 1. Give t(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4 + 4. Let v be s\/(-4398)*30421\/(-4). Let h = v - -1\/1466. Calculate the common denominator of 69\/10 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Suppose i + 2 = c. Let v = 5 - c. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = 5*r. Suppose -r - 5 = -3*d, 3*w = -4*d + 20. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:09 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-32)\/(m\/m**(-7\/9))*(m\/m**(2\/11))**45 assuming m is positive.\nAnswer: m**(301\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, u: 2}. What is prob of picking 4 t?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 427 + -425. Solve 0 - 4 = p*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.98 - 0.02. Let j = y + 3.6. What is the biggest value in j, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.475 + -4.825. Is n at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Suppose 2*j + 2*x - 6*x - 32 = 0, -t*j - 4*x + 40 = 0. Which is smaller: 17 or j?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 4, h: 3, f: 7, w: 2}. Give prob of picking 1 w and 2 p.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1581 + -1023. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1173 times 1717.25\nAnswer: 2014334.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 33 = 3*d, -54 = 2*u - d - 36 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b - 4*b**5 + b**2 + 6*b + b**5 + 2*b**2 - 2*b**2 + (-b**3 + b**3 - 2*b**3)*(-2 + 2 + 2*b**2) + b**5 + 0*b**5 - 3*b**5.\nAnswer: -9*b**5 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 2*c**3 + 5*c**3 - 4 + 13 - 482*c + 481*c as l*c**2 + b*c**3 + g + m*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3373 is divided by 1083.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshcusuiwiucusuuw. What is prob of sequence ucws?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246498 rounded to the nearest 1000?\nAnswer: 246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2657065*f = -2656826*f + 5497 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 19*u + 3. What is p(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 1. Let k be l(0). Is k >= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.01979 - 9.01. Round i to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1572 + 1602. What is the highest common factor of f and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59.4 - -59.36048. Let n = -0.01 - -0.05. Let l = n + h. Round l to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10889 and 128.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 314000 and 37375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 3*z**2 + 7. Let p be -5 - (3 + -9 - 3\/(-6)*8). Determine k(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -9\/5*x**5 + 0*x**4 + 3\/7*x**7 + 0*x + 0*x**2 + 17*x**3 - 51 + 0*x**6. What is the third derivative of a(r) wrt r?\nAnswer: 360*r**3 - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 14 + -2*2. Suppose 5*u - j = 3*u. Solve u*g = -0*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c - 24. Let h be q(6). Let x = 3 - h. Sort 0.3, -0.2, 0.4, x.\nAnswer: x, -0.2, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172658 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 + 3*q - 6. Let v be (-3 - 1)\/(2\/3). Let y be p(v). What is the greatest common factor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18131685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (6 + -9) - 99 - (-6 + 2 + 2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3933*c + 296500. Calculate m(-74).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 4*v - 4*v - 2 - 2*v**2 + v**3. Let h be m(5). Let r be (-5 + -2)*1\/(-1). What is the greatest common divisor of h and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 43*a**2 + a + 1. Determine y(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -26403*t**2. Let y(b) = -4*b**2. Calculate y(s(k)).\nAnswer: -2788473636*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*s - 124. Let j(x) = x**2 - 14*x - 3. Let t be j(8). Let a = s + t. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let h(g) be the first derivative of 23*g**2\/2 + 893. Determine 3*h(r) - 21*o(r).\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, f: 5, k: 8}. Give prob of picking 3 n.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 1 (c) -3 (d) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/21 + -6\/7. Let x = 1.9 - 0.1. Let g = -0.8 + x. What is the nearest to -2\/7 in l, -5, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 630.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(4\/7)\/i))\/(i**(-10\/7)\/i) assuming i is positive.\nAnswer: i**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3852763977?\nAnswer: 3, 199, 6453541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 + 5. Let v = -11 + 15. Let t(m) = -m**3 + 2*m**2 + 5*m - 4. Let p be t(3). Which is the closest to p? (a) v (b) 4\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 989*q. Let y(u) = 27*u + 1. Give y(x(g)).\nAnswer: 26703*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30537 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 + 2.9. Let o = -2.67 - t. Let i = o - -0.0699. What is i rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let j be 0 + (2 - 2) - 0. Let c(a) = 0*a + 5*a + j*a + 0*a. Calculate c(m(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -11980?\nAnswer: -11962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10) + (-140)\/(-25). Suppose -k - a = 7. Let t be (-4)\/k*0\/3. Which is greater: -1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 126, 1, -7095 in descending order.\nAnswer: 126, 1, 0, -3, -7095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 7 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11*d + 7*d - 9*d + 4.\nAnswer: 9*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 3529*u + 479488. Calculate q(131).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 423147?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.3 - 2.3. Let f = -8 + i. Let x = 0.3 + -0.3. Which is the third biggest value? (a) x (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 104?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76c0d (base 14) to base 12.\nAnswer: 11a625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002121527 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 29. Calculate the highest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3777*x = 115090 + 257496 + 148640 for x.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 12589400.5.\nAnswer: -1258940.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/6 + b**2 - 13*b. Let r be h(-1). What is the third derivative of -193 + 193 + 2*p**r + 3*p**2 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 30*r + 4. Let v be z(10). Suppose 5*h = -5, -v*h + 6 + 10 = 5*i. Let g(t) = -3*t + 3. Determine g(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -165, -0.5, 0.06, -2, -4, 79?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 0, -z = -y - 4*y + 150. Let m = -58609\/10 + 5870. What is the common denominator of m and 37*5\/(y\/(-2))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1640, 5, 2\/7, 1\/16, -1\/2 in ascending order.\nAnswer: -1640, -1\/2, 1\/16, 2\/7, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.7, 3\/17, 0.5, 0, 0.039?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*v - 56. Suppose -v = -3*p + 4*p. Let x be 6\/p - 6\/(-21). Solve t + 4 + 0 = x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 8. Let a be g(12). Suppose -4 = a*c - 0. Sort -2\/15, 0.2, c.\nAnswer: c, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/40 - 7*i**3\/6 - 18*i**2 - 2*i. Suppose 6 = 2*u - 6. Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/(-5922)*14\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1171668620 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -57. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*t + 4*a - 10, -a - 82 = -4*t. What is the smallest common multiple of t and 1150?\nAnswer: 12650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412616 + 1540576 = -4*l - 2*x, 3*l - 4*x = -1464916. Round l to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g - 4. Let r be 2\/9 - 128\/(-72). Suppose 0 = -5*h - 4*p + 14, -3*h - 3 = -r*p - 7. Let j be 2*(3 - 11\/h). What is q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)\/((-6)\/(-48)). Suppose 4*n - 4*l = 9*n - 10, -l = 4*n - d. Solve 0 = -n*j - j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkzkzkkkkkkkkkkzzzz. What is prob of picking 2 k and 1 z?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 20. Suppose k = 3*x - 4*z - 74, 0*x - 2*x + 56 = -4*z. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 33*w**2 - 59*w - 714. Let v be z(-17). Solve v = 11*t + 126 - 192 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439308 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*z - 269*z - 325*z - 323*z - 331*z + 1574*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -348949 + 348949.164873. Let x = -0.165 + c. Round x to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5 = 4*h + 15, 0 = 4*h + 5*a - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 33 = 138. Which is bigger: -23 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 3. Let y be -2 + 4 + 76\/2. What is the highest common divisor of h and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/20 - 193*j**4\/4 - 109*j**3\/3 + 3*j**2\/2 - 182*j. What is the second derivative of f(p) wrt p?\nAnswer: -6*p - 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6713, 6855, 6997, 7139?\n\"Answer: 142*n + 6571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 + (-36)\/10. Suppose 3*k + 12 = 5*k. Let w = z + k. Calculate the remainder when 3 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*10\/(-6)*-3. Suppose -4*w + 47 - 11 = 0. Suppose -v + w = -h. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4\/2 - 18735*r**3\/2 + 9366*r**2 = 0.\nAnswer: 0, 1, 6244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 - 22*s**3 - 23*s**2 = 0. Calculate s.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhrhhhhhhhhhhhrhhh. What is prob of picking 2 r and 1 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3956?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*t - 510*t - 333*t + 8 - 6 + 182*t in the form w*t + i and give w.\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 246930421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/(-70) + -1)\/(1311828\/(-805)). Does l = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -1793*q**4\/6 - 7*q**3\/2 + 14*q**2 + 698*q. Find the second derivative of d(j) wrt j.\nAnswer: -7172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggig when four letters picked without replacement from {i: 7, g: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 2*p**2 + 0*p**2 + (-127*p + 10*p - 55*p)*(0 + 0 + 2*p) as j*p + w + y*p**2 and give y.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**4 + 4*a**3\/9 - 3. Let v(n) = 0. What is n?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -815, -761, -647, -455, -167, 235?\n\"Answer: 3*w**3 + 12*w**2 - 3*w - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58003.44 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 715 = -132. Suppose -o + i = 10*o. What is the remainder when 27 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111940 and 1623130?\nAnswer: 3246260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfffjff. Give prob of picking 2 j.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 890.9 and -1.7.\nAnswer: 889.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-14)*(1 - 5). Let l = 998 + -1000. Let o = -3 - -3. What is the closest to -0.2 in n, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56)\/8*(-5)\/1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 383*q - 2677. Let p be o(7). Let m(j) = -23*j**3 - 2*j**2 + 2*j - 2. Let z(i) = -850*i**3 - 75*i**2 + 75*i - 75. What is p*z(a) - 150*m(a)?\nAnswer: 50*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -2*(54\/(-12) + 3) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127249 + -0.03043\nAnswer: 127248.96957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 45*j**2 + 16*j - 132. Let h be v(-22). Factor -3\/2 + h*l + 3\/2*l**2.\nAnswer: 3*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88.93 - 91.93. Let z be (2\/(-6))\/((-6)\/(-36)). Which is the nearest to 20? (a) 1 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, -2, 2\/69, -2.1, 63 in ascending order.\nAnswer: -5, -2.1, -2, 2\/69, 21, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-45)\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 565994*z - 566665 wrt z.\nAnswer: 565994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000353681 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-55)\/15 + 3). Suppose 2*p = -4*r - 5 + 3, q*r = p - 11. Is p equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -10 + (-14030)\/(-1725). What is the closest to 4 in a, -1\/4, -3\/7, -4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, -3*v + v + 4*c = 22. Let q = v - -14. Solve 5*i - 4*o = 11, q*o + 2*o - 5 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 27*f**2 - 2*f - 8. What are the prime factors of p(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.3 - -3.1. Let r = 0.215 + y. Let k = 0.015 - r. Sort -10, 2, 1, k.\nAnswer: -10, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5854961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6181, -12573, -18941, -25285, -31605?\n\"Answer: 12*c**2 - 6428*c + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - 123?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 3 - 26.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4852 = -275*m - 678 + 1130 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - -371. Suppose -3*a + v = y - 159, -2*y + 2*a = -1098. List the prime factors of y.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - -106. Suppose -2*a = 5*k - 166 + 34, -4*a + j = -4*k. Suppose 0 = -2*g + 164 + a. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14308649.\nAnswer: 14308649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84 or -18?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003591830214 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = -5, -2*m + 34 = 4*y. Suppose 4*s + 87 = -9. Let t = s + 26. Solve -u - u - 4*b + 22 = 0, -u + t*b = y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*z - 62*z + 30*z - 66. What is the remainder when 280 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -327*c + 143*c - 112*c + 114*c - 365*c to l*c + j and give l.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 4:02 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811352, -6490789, -21906404, -51926285, -101418520, -175251197, -278292404, -415410229?\nAnswer: -591472760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -72*u - 62. Let h(o) = 51*o + 59. Give 4*g(f) + 5*h(f).\nAnswer: -33*f + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 2, j: 1, s: 1, n: 4}. Give prob of sequence nsn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 312977 - 312964. What is the remainder when k is divided by -4*(-2)\/(1*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 + 2.5?\nAnswer: 223.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2805513, -11222069, -25249667, -44888307, -70137989, -100998713, -137470479?\n\"Answer: -2805521*h**2 + 7*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.45.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b. Let s(p) = -p**2 - 4*p**2 + 3*p**2 + 5*p**2. What is x(s(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iinnnnnn. Give prob of sequence innn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/210 and 109\/5040?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251 (base 8) to base 11.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 7.1. Let k = t - 4.4. Let o = -0.6 + k. What is the third smallest value in 0.2, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1324 - 620. Calculate the highest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5977\/55 - -542\/5. Let v = 276 + -5794\/21. Which is the third biggest value? (a) v (b) -2\/9 (c) h (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 + -144. Solve -z*b + 5 = 0, 2*j - j - 4*b + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 + 20002022?\nAnswer: 20012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010011110 - 1100010?\nAnswer: 111000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2. Let r(s) = 4*s**2 - 2*s - 2. Let a(n) = -13*n**2 + 7*n + 7. Let i(u) = -6*a(u) - 21*r(u). Give i(t(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 724 divide 7232036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -83\/260284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 85 = 67. Solve g = 3*g - h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400 - 385. Suppose 9 - 83 = -2*q. Differentiate w*f**2 + q*f - 8 - 37*f with respect to f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 21.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 15*f**2 - 4*f + 20. Let d be g(15). Let k be (-9)\/(-6) - (-44)\/d. What is the third smallest value in k, -0.6, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-4)\/3. Let l = -0.039 + 0.439. Which is the biggest value? (a) -1 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 4*h**3 - 3*h**2\/2 - h + 24. Calculate the remainder when i(4) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479 is divided by 297.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 163973 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 2*b**3 + 3*b**4 + (0 - b + 0 + (-4 + 6 - 4)*(-4*b + 2*b + 0*b) + 0*b + 15*b + 0*b)*(0*b**3 - 3*b**3 + 6*b**3).\nAnswer: 57*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 864\/(-468)*39\/(-9). Solve 12 = -4*m + p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 - 13*l**2 + 17*l + 14. Let c(a) = a**3 + a**2 - 1. Let k(p) = 3*c(p) + i(p). Suppose -u = 2*j + 29, -4*j + 17 = -5*j - u. Is k(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/(-585)*(1 - (-3)\/((-9)\/(-102))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkj when three letters picked without replacement from {h: 2, k: 6, j: 11}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*k**6 + 2*k**4 + 114*k**2 wrt k.\nAnswer: 15120*k**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10646686213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 - 1844*l**2 - 65562*l - 63720 = 0 for l.\nAnswer: -885, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*t = 4009 - 11497 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 128082.151 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199 + 199.1. Let f = -3 + 3.5. Which is smaller: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4681 - -1552?\nAnswer: 6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -46.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s + 17. Suppose 3*r = 2*r - 111. Let q be r\/(-9) - 1\/3. Let p = q + -8. Let d(g) = -2*g + 6. What is p*y(n) - 11*d(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36096\/(-480))\/(1\/(-35)). Suppose 7*n = -p + 10451. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580034?\nAnswer: 2, 7, 13, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15480*w**2 + 5*w**3 - 2*w**5 + 7*w**5 + 15510*w**2 - 20*w**4.\nAnswer: 5*w**2*(w - 3)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 + 2023. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 155, 1 in descending order.\nAnswer: 155, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99672 and 66.\nAnswer: 1096392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8331865?\nAnswer: 5, 23, 53, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2))\/l**(-2))\/(l**(2\/11)\/l*l*l**(3\/5)) assuming l is positive.\nAnswer: l**(12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/6 (b) -2 (c) 4\/45 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = -105. Let d be ((-2)\/(-3))\/((-2)\/l). Suppose -3*b = d - 20. Solve -2*g = 2*t + 4, 2*g - 2*t = b*t - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274293 is divided by 137000?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -301 bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - 16*p**2 - 30*p + 13. Let a(q) = -q**3 + 6*q**2 + 11*q - 4. Calculate 11*a(g) + 4*k(g).\nAnswer: g**3 + 2*g**2 + g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.1? (a) -1 (b) 29 (c) -2\/9 (d) 32\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19805 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258110161 and 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 8*v + 2*v**3 - 3*v**4 + 7*v - 3*v**3 to the form w*v + n*v**2 + j + c*v**3 + x*v**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 26 = -4*r - 386, 3*r = 4*t - 251. Suppose -i - 113 = -4*h + 99, 3*i - 4*h + 612 = 0. Let l = r - i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3012 + 0?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-7))\/(k\/((k\/(k*k**(-2\/13)*k))\/k)))**38)**9 assuming k is positive.\nAnswer: k**(22914\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*a + 2*n + 3, 4*n = -a + 16. Suppose 0 = -4*g - a*u + 172, -2*g + 24 = -5*u - 27. What is the remainder when 1*2 + (g - 2) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 12. Let d = -13 - -3. Let c(q) = q**3 + 9*q**2 - 11*q - 9. Let w be c(d). Solve z*o + 17 = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.004 - 52. Let v = 5.604 - b. Round v to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/4, 22.066, 0.5, -2\/11, -9, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8695, -17386, -26077, -34768?\nAnswer: -43459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 426*p**2 - 3852*p - 37800.\nAnswer: 3*(p - 14)*(p + 6)*(p + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 10:27 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 2 n when four letters picked without replacement from {c: 1, n: 3, h: 2, k: 3, i: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.3, -7, -1.17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*f + 268, 133 = 2*d + 4*f - 21. Let c(r) = d*r - 37*r - 34*r. Let p(w) = 6*w + 13. What is p(c(z))?\nAnswer: -12*z + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away 0.0740025344?\nAnswer: -0.1340025344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 1465, 5017, 11939, 23353, 40381, 64145?\nAnswer: 95767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -13. Let f(b) = b - x*b + 1 - b + 3*b. Give f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 295, -8?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 = -4*y - 567, 4*h - 425 = -3*y. Let k be 2 + 4\/(-1) + h. Let m = k - 66. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103504049.\nAnswer: 11, 41, 229499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5839736 take away -849?\nAnswer: -5838887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*d + 21 = -3*x, 62 = 4*x + 5*d. Suppose -2*t = -t - x. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157491293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 16) in base 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j**2 - 5*j**2 + 4*j**2)*(-63*j + 63*j + 29*j**2) as m*j + o*j**3 + a*j**4 + q + b*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 - 1566183*p = 0. Calculate p.\nAnswer: -1566183, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 718318, 1436595, 2154872, 2873149, 3591426, 4309703?\n\"Answer: 718277*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3 - -6) + -1 + 154 + -164.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-63)\/12)\/(-3)*40. Let x = -54 + f. Let l = x + -13. Solve 0 = l*i - 3 - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 18. Let d(y) = -10 + g + y. Let c(b) = b**2. Give c(d(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 2, -0.1, -1, 140 in descending order.\nAnswer: 140, 118, 2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4398363 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) 4 (c) 0.4 (d) -4 (e) -3350\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-633)\/(-15) - (-2)\/(-10). Let a be 612\/14 - (-12)\/f. Suppose 0*o = -2*o + a. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -939.13 - -961. Let a = q - 22. Let h = a + 0.1265. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -11*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/985 and -81\/10?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-8)\/(-4)) + 1\/2. Solve -2 = -5*t + 2*p, -4*t = -p - h - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5499 is divided by 341.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 794 divide 29301872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:45 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 20, v + h - 79 = 2*h. What are the prime factors of v?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-120)\/14)\/(-2) + -4. Sort 1\/9, -3, 2\/9, s in decreasing order.\nAnswer: s, 2\/9, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188389 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1751*o**3 - 840*o**3 - 672*o**3 + (0 + 0 + o**3)*(-2 - 3 + 6).\nAnswer: -3262*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 + 0.408. Let a = 1.587 + 7.331. Let s = c - a. What is s rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5922347 is divided by 85831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365097923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19) + sqrt(38)\/sqrt(2))**2 + (sqrt(76)*2 - sqrt(76))\/sqrt(4).\nAnswer: 17*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - -2*4\/8. Let a be 96\/18 + 6\/g. Does 18 divide 162\/a*4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 55. Let g = -1 + t. Solve -x + 6 = -3*r, g*r - 3*r = -x - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -323, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -2302.6\nAnswer: -2320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -5, -0.201 in ascending order.\nAnswer: -5, -0.201, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/4 of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-140)\/(-2 + 1)*6\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 3416, -221 in ascending order.\nAnswer: -221, 106, 3416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*1\/2*-1. Let j be (a + 2 + -1)*2. Suppose 4*i - 3*o = -0*i + 14, -4*o = j. Solve 0 = u - i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062794 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 40*a - a. Solve -3*z - a = -7*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32915, -34946, -36977?\nAnswer: -39008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 1. Suppose 2*p - 4*p = 2*p. Suppose -15*q = -p*q + 15. Let v(t) be the third derivative of t**3\/6 + t**2. Give q*v(l) + a(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529158700?\nAnswer: 2, 5, 7, 23, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -970, -970, -968, -964, -958, -950?\n\"Answer: b**2 - 3*b - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.16 + -10.513. Round f to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6.5. Let t = -0.5 - -0.4. Which is the biggest value? (a) m (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3167, 3166, 3165?\n\"Answer: -y + 3168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (277\/3 + -7)*6*1. Suppose -b = 4*g - v, 12*g + 246 = 14*g - 2*b. List the prime factors of g.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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 -4*d = 73*c - 76*c - 5, d + 2*c = 15. Let h(z) = 2*z - 15. What is h(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -62000024.\nAnswer: -248000096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**4 + r**3 + r**2 + r + 1. Let s(q) = 41*q**4 + 8*q**3 - 10*q**2 - 10*q - 1101. Let u(t) = -s(t) - 10*z(t). Differentiate u(y) wrt y.\nAnswer: -84*y**3 - 54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (78\/12 - -1) + (-6)\/4. Let r(i) = -5*i**2 - 2*i + 2. Let b(f) = -51*f**2 - 21*f + 21. Give m*b(g) - 63*r(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -5. Let z be (5 + -1)*25\/(-150). Which is the closest to z? (a) o (b) 4 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t - 725. Let o be y(-45). Which is the nearest to 1? (a) -1\/4 (b) 0.2 (c) 230 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (1 + -6))\/(2\/4). Suppose -k - 4*j + s = 0, -5*j = 5 - 15. What is the greatest common factor of k and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 259.7706l?\nAnswer: 259770.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3570*p - 17853. What is t(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000046 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 893.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-6650)\/(-49))\/(3 - (-20)\/(-7)). What is the highest common divisor of 864 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 6) + 0 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -6561, 0.3, 20, -0.5 in decreasing order.\nAnswer: 20, 0.3, -2\/13, -0.5, -6561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 + 5*u**2 + 2*u. Let o(z) = 8*z**3 + 14*z**2 + 6*z. Suppose 0 = 3*t + 3*i - 3, 4*i = -3*t + 4*t - 21. Let m(r) = t*o(r) - 14*k(r). Factor m(j).\nAnswer: -2*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 14*r**2 + r + 11. Let t be d(-7). Factor -6*w**4 + 32*w**3 + 40*w + 50*w**2 + w**t - 27*w**3.\nAnswer: -5*w*(w - 4)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**4\/24 - 8*n**3 + n**2. Let t be l(0). Let s be (-2)\/10 + t\/10. Put s, -2, -4 in descending order.\nAnswer: -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3298733082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 1:05 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -156, -327, -498, -669?\n\"Answer: -171*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 1 + 21*y**2 - 18*y**2 - 40*y**2)*(1 - 1 + 2*y) to the form g*y + m*y**2 + p + s*y**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + sqrt(102)*2*-2 - sqrt(102)) + sqrt(102))\/(sqrt(30)\/(sqrt(15)\/sqrt(3))) - ((sqrt(17) - (-4 + sqrt(272))**2)*3 + -3)) + 4.\nAnswer: -102*sqrt(17) + 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:23 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 495 + -466. Suppose u - 1170 = -b*u. What is the smallest common multiple of u and 65?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = v. Let c(q) = q - 2. Let r be c(v). Let p(g) = -g**2 + 2*g - 2. Determine p(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 11*z - 20. Let d be o(8). Suppose 2*i - 144 = -d*p, p - 2*p = i - 74. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(2*t**2 + t**2 - 5*t**2) + 53*t**2 - 54*t**2 - 45*t**2 + (3 + 1 - 3)*(-2*t**2 - 2*t**2 + 5*t**2) - 2*t**2 + t**2 + 2*t**2.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 907079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/((-79)\/(-93679701)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Solve 82*n - 246 + 380 = -358 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -128 (base 9) to base 14\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*g - 490*g + 40 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/12)\/(2\/(-468)). Let z be (-18)\/(-30) + k\/15. Find the second derivative of -7*r + z*r**2 + 10*r**4 - 24*r**2 wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 0 - (8 - -1). Let x be (-30)\/w - (-2)\/(-6). Let c(l) = -l**2 + l + 4. Let s be c(x). Which is greater: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12217 - -12217.032612. Round m to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-8)*(-32)\/12. Suppose 0*q = 4*q - w. Let a(h) = 0*h**3 + 2*h - q + 3*h - 8*h**2 + 4*h**2 + h**3. Calculate a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81719535.\nAnswer: 3, 5, 29, 187861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 3 - 3*w**3 + w**2 - 1 + 4 as f*w**2 + b*w**3 + p + y*w and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/12 - u**3\/3 + 7*u**2\/2 + 2*u. Let k be j(3). Suppose k*p - 266 = -4*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 155 = 149 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*p**3 + 711*p**5 - 710*p**5 + 1 + 5*p**3 - p**4 + 12*p**2 - 1.\nAnswer: p**2*(p - 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m + 3501 - 9553 - 5316 = 0 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 5 + 9 - (-1)\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2 + 485983*n - 1434662 wrt n.\nAnswer: -4*n + 485983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -5*r**4\/12 - 2450*r**3\/3 - 600250*r**2 - 1761*r. Factor z(v).\nAnswer: -5*(v + 490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1420 + 59*j + 1420)*(-500 + 500 + 15*j).\nAnswer: 885*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/7 - 13500*q**2\/7 - 32*q\/7 + 216000\/7 = 0.\nAnswer: -4, 4, 6750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -12*l + 6*q - 14, 4*l = q - 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277964*j + 221 = 277947*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17*m*m**(-9))\/(m**(-1\/6))**(-18) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -305, -988, -2307, -4472?\nAnswer: -7693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r = 52*r + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18466 + 38920. What are the prime factors of p?\nAnswer: 2, 7, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*s - 16*s - 11*s)*(0*s**2 + 0*s**2 + s**3) as l + v*s**4 + b*s + u*s**2 + k*s**3 and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t*u**3 + 802502*t*u**2 + 157*t*u + 2*t - 19*u + 936 wrt u?\nAnswer: -24*t*u + 1605004*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(343))**2 + -4 + -4*(sqrt(343) - (sqrt(343) - (sqrt(343) + -2 + sqrt(343) + sqrt(343)))**2) + -1.\nAnswer: -252*sqrt(7) + 8586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*v = 6, -3*v + 8*v + 20 = 0. Let o(y) = -3*y + 3*y**h - 251 - 2*y**2 + 261 + 12*y. Give o(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315 + 310. Sort -2, c, 0.1, 4\/5 in increasing order.\nAnswer: c, -2, 0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15801 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(960) + (-1*sqrt(960) - sqrt(960)) - sqrt(960))*-1 - sqrt(960))\/(((-1*sqrt(1500) - sqrt(1500)) + sqrt(1500) - sqrt(1500))\/sqrt(3)))**2.\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -452*c**2*f**5 + 3*c**2*f**2 - 103*f**2 wrt f.\nAnswer: -27120*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*y = 300*y - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49639\/306 - -2634\/17. What is the common denominator of o and -14\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-1856)\/(-272))\/29*(-1)\/32*-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 621 (base 7) to base 10\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4534300305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246075 and 425.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 32*a**3 - 20*a**2 + 56*a.\nAnswer: -4*a*(a - 1)*(a + 2)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 3. Let x be o(-3). Let q = x - -13. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*g - 164 - 418, 3*n - 2*g - 570 = 0. Calculate the remainder when n is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -157*s**5\/10 + 107*s**4\/12 - 96*s - 1. What is the third derivative of o(z) wrt z?\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:15 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5812 + 58001\/10. Let j = -3\/307 + 2811\/4912. Find the common denominator of j and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1680 divided by 42\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 39\/(-1) - (-8)\/4. Let t = q - 32. Solve -t*u - g - 16 = -u, 0 = -3*u - 4*g - 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 3, w: 2, a: 2, q: 6}. What is prob of picking 1 v, 1 w, 1 q, and 1 a?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.0699.\nAnswer: -0.02097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 0, 0.5, 20 in descending order.\nAnswer: 20, 5, 0.5, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*m = -30, 13 = -3*n - m + 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/32 and 103\/456.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -14. Let u(r) = 14*r**2 - 12*r + d*r. Let c(i) = -i. Calculate c(u(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -5*y**2\/2 - 13*y + 8. What are the prime factors of t(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 863400 and 9400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 23 = -2*d, 4*d - 3*d + 6 = t. Let b = -0.02 - 0.13. Let g = b - -0.08. Put -3, d, g in decreasing order.\nAnswer: g, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t - 47*t = 1384. Suppose 0 = -2*x + 3*x - t. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 1. Let j be t(2). Let d = 662.2 - 662.5. Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 11. Calculate i(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -1*sqrt(7) + 4 - (-1*sqrt(175) + sqrt(7)))*3)**2.\nAnswer: 288*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4720 divided by 181?\nAnswer: 4720\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 12.7. Let k be (-34)\/(-9) + 4*7\/126. What is the third biggest value in h, k, -0.4, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 2*f - 50, -509 = -36*r + 41*r + 133*f for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417040 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*b + 21, 2*b + 3*k - 20 + 36 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2 - 42*i + 18. Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44755 or 44756?\nAnswer: 44755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 380 - 266. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2099 is divided by 96.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -702 divided by 263688\nAnswer: -117\/43948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -1226, -2722, -4828, -7550?\nAnswer: -10894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31, -6, 19, 44, 69?\n\"Answer: 25*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Suppose 3*q - 1389 = -5*u + 1475, 1716 = 3*u + q. Let t(h) = 8*h**2 - u*h + 571*h. What is t(k(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852*q + 2528*q**3 - 421*q - 431*q.\nAnswer: 2528*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**3 - 378*y**2 - 52*y - 315116?\nAnswer: -3*y**2 - 756*y - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125406586.\nAnswer: 2, 17, 53, 69593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -21 (b) 0.11 (c) -5 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153800931 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**6\/30 - 59*c**2\/2 + 2*c + 18. Find the first derivative of b(q) wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 146\/(-522) - 12\/(-16). Let u = v + -3\/116. Suppose 5*s = -r + 1, 3*s - 1 = r - 2. Which is greater: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 323\/19) + (-6)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128020 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgst when four letters picked without replacement from {g: 4, n: 9, s: 3, t: 1, c: 1}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.888 + -1.112. Let g = -69065367.9999993 - -69065365. Let d = y - g. What is d rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 23*j**2 + 11*j - 47. Let t(o) = o**3 - o**2 + 1. Let p(d) = n(d) + 2*t(d). What is the smallest common multiple of 10 and p(-20)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3 - 3 - 2)*(2 - 2 - 3*h**2)*(0 + 0 + 3*h) + (0 + 0 + 2*h**3)*(h - 4*h + 4*h) - 6*h**4 + 0*h**4 + 3*h**4 + 2*h**4 + 4*h**4 + 0*h**4.\nAnswer: -4*h**4 + 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 8) in base 7?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3\/4, 2, 7 in decreasing order.\nAnswer: 7, 2, 3\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/((1\/(-3))\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t = 26. Let l(v) = -13*v - 44. Suppose 0 = w - 0*y - 4*y + 7, -5*w = 4*y + 35. Calculate the remainder when l(w) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/80*20*1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0*h**2 - 2*h**2 + 0*h + 0*h**2 - 9 - 5*h. Let w be l(-6). List the prime factors of (4 + -5)\/(-2 + (-101)\/w).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 8*a - 29. Let s be l(11). Find the common denominator of -19\/44 and ((-1)\/s)\/((40\/(-6))\/(-2)).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85681.15 meters in nanometers?\nAnswer: 85681150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101309, 202609, 303909, 405209?\n\"Answer: 101300*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16033 and 8.\nAnswer: 128264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -2.6. Let l(o) = o**2 + 5*o + 2. Let x be l(-2). What is the biggest value in 0, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = 2*t - 562, 5*t - 2*q - 1443 = 0. What are the prime factors of t?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18 and -37\/112125.\nAnswer: 672750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 250543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z + 28*z - 52*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-7) - (-8)\/28. Suppose -2 = -z*y + 6. Solve y*g - 6 = -4*s + 2*s, 2*s + 18 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -35*a**2 - 177*a - 11. Determine z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -4 (c) -8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - ((-2 - 0) + 1). Let w = 19 + x. Let h = -7 + w. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.03, 0.5, 0.3, 0.08?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5 - 7. Let b = 118\/3 + -107\/3. Is w greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 + 59811*p**2 - 3 + 0 + 3 - 59809*p**2.\nAnswer: -19*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/361455 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1379 + 1489. What is the greatest common divisor of y and 5016?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/20 - 1560*g**2. Let l(f) = 649*f. What is y(l(x))?\nAnswer: -1263603*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from casciyads?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1789804*a**2 + 16417*a - 1 wrt a?\nAnswer: 3579608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -24, -50, -94, -162, -260, -394?\n\"Answer: -f**3 - 7*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 586220597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(243) + 2.\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 8*i + 46*i)*(-3*i**2 + 0*i + 0*i) + 3*i**3 - 4*i**3 + 3*i + 0*i.\nAnswer: -145*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 8731871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 359 = 4*q - 166, -505 = -4*q + 3*u. Suppose -2*w = 3*w + q. Let g be w\/(-6) + 12\/18. What is the third biggest value in -0.5, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from jjennnjnnjhjjnnrj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from rzzdghh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 - 6*r - 7. Let g be a(7). Suppose 4*n + 8 = -g, -4*n + 11 = o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 13*c**2 - 24*c - 42. Let y be h(-11). Sort -3, 4, 2, y in increasing order.\nAnswer: y, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1)*(-1)\/(-6)*-4.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -198, -282, -356, -420?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4359 + 6542. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202164 by -2.\nAnswer: -101082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (399\/119)\/(8\/(-136))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087368 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) 1 (c) -1\/2 (d) 1421 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4054\/59379 or 0?\nAnswer: 4054\/59379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*m - 12, -13*m = -18*j + 13*j - 16*m + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26243?\nAnswer: 7, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(56\/10)*((-296)\/20)\/1?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5597 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-782)\/(-5 + -29) + 46?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -107\/16, -1, 227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 66238, 132324, 198410, 264496, 330582, 396668?\n\"Answer: 66086*h + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/2 - 7*j**4 - 75*j**3\/2 - 95*j**2 - 112*j - 48 = 0. What is j?\nAnswer: -4, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 3)\/(20\/(-160)). Solve w + w = -m + 14, -t = -5*m - 4*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1369*n**3 - 2912?\nAnswer: 4107*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -5*n**4\/12 - n**2. Let x(z) = 2*z + 2*z - 9*z + 3*z. Give o(x(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**2 - 3*q. Let g(h) = -14*h + 51*h - 21*h + 2*h**2 - 16*h. Calculate g(o(m)).\nAnswer: 98*m**4 + 84*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-66))\/((-640)\/24)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**6\/60 + 23*n**5\/20 - 4797*n. Determine u so that a(u) = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + sqrt(252))*-6 + 1 + 5 + sqrt(252))**2.\nAnswer: 720*sqrt(7) + 6447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 2085493315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2515 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-2*5)**2.\nAnswer: 84700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j\/((j\/j**(2\/5))\/j)))*j))**22)**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - 4*f + 3*f)*(-3 - 4 + 5) - 6*f - 8*f - 5*f)*(2 - 2*f**2 - 2).\nAnswer: 42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 25786?\nAnswer: 25786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 477 and 377964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*k - 2*k - 4 = 0, y + 4*k = 27. Let h = y + -18. Let s = h + 13. Solve -2 = 2*t + s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -13 (c) 3\/221 (d) 0 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*n + 41540*n**4 - 41539*n**4 + 1 - 7*n**3 - 6*n**2 as t*n**3 + u*n + f*n**2 + r*n**4 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8094373 nanoseconds to milliseconds.\nAnswer: 0.0000008094373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f**4*i - 7*f**4 - f**2 + 21*i wrt f.\nAnswer: -192*f*i - 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 2122 = 673. Calculate the greatest common divisor of 9156 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 10. Suppose -q*k + 2*x + 216 = 2*k, 5*k = 3*x + 270. Calculate the highest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.65 and 3752.\nAnswer: -2438.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 52*z**2 + z - 1. List the prime factors of r(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*j - 44 + 11, -3 = j - 3*t. Let v be (2\/(-6))\/(8\/j). Let a = -0.86 - -0.66. Is a >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -5 in ascending order.\nAnswer: -6, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*b**2 - 9 + 9 - 215*b**2 - 211*b**2 to the form v*b**2 + q*b + s and give v.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -s - 4 - 10 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*w**3 - 24*w**6 - 847*w**2 - 657*w**2 + 0*w**3 - 3*w**3 wrt w.\nAnswer: -2880*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3790384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -288\/7 + 142\/7*a + 1\/7*a**2.\nAnswer: (a - 2)*(a + 144)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:35 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*m + 16, 3*m - 7 = -2*d - 5. Let f(t) = 0*t**m + 4*t**2 + 879*t - 879*t. Let y(k) = 7*k**2. Give f(y(p)).\nAnswer: 196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.728 - 0.128. Sort 2\/3, 6, u in decreasing order.\nAnswer: 6, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 5 - 5)*(-375 - 362 - 542 + 47).\nAnswer: -3696*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddduuduuudddddud. Give prob of picking 2 u.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -q. Let u be 691504\/2*(-12 - 0)\/(-24). Suppose 99124 = -q*l - u. What is l rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 7*w - 19194. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396410 and 520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11983311 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from jhhjjhjhhhh?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67300\/(-141330)*7\/4.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2385 divided by -21026\nAnswer: 2385\/21026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = -0*z. Let s = -156 + 233. Let n(l) = 77*l - s*l + l**2. Let x(f) = -8*f**2 - 1. Give z*x(m) + 6*n(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 1578 - 1566, -4*o + 4*v = -20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/51, -300, 5, -5, 4, 2.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 8*p + p - 2*p - 12 + 4*p**2 - p**3. Let m be v(-5). Let j be (-1 - 1)*(-7)\/2. Is m less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -131\/2*v**2 - 101*v - 105. What is the first derivative of c(t) wrt t?\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 4*x**2 + 3*x**2)*(4 + x - 4 + 0 - x + 0 + (-3 + 1 + 1)*(4*x - 4*x - 2*x)).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*d**2 + 31*d**2 - 6*d**4 + (4 + d - 4)*(-d**3 - 2*d**3 + d**3) + (4*d**4 - 4*d**4 - 2*d**4)*(-5 + 3 - 3) + 5*d**4 - 9*d**2 + 9*d**2.\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3310?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-21) + 768\/2709. Let h = c - 50558\/4515. What is the common denominator of h and 1366\/60 + (-6)\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017909463?\nAnswer: 61, 227, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 72*j**2 + 13*j + 489. Give r(-36).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = 62 - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*j + 5*o + 17, -j - 13 = 5*o. Suppose 876 = 5*q - 2*p, -j*p - 1 = -5. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3)*(176721*i**2 - 1015*i**3 - 176721*i**2) in the form s*i**3 + r*i + v + w*i**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 16136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 301611 (base 7) in base 16?\nAnswer: c77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**2 - 1257 + 2*n**4 + 2*n + 1257 + n**2 - 4*n**3 in the form t*n**2 + i*n**3 + w + r*n**4 + v*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -5*(-5)\/25. Let n be z*(-1 - 0)*(-15)\/10. Solve -n*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 26. Suppose -n*k + 28 - 10 = 0. What is the remainder when 16 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 0*g + 0 + 5 + 7. Let d be s(9). Suppose d*q - 8 = -2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -8. Suppose 4*w - u*w = -48. Suppose -5*p + 3*p + w = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*i - 512 = -286*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 35, 62, 109, 182, 287, 430?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, -7128, 3, -2.\nAnswer: -7128, -15, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 19. Let z(w) = 2*w - 20. Let y(l) = 6*p(l) - 7*z(l). Does 51 divide y(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47394366 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 2*h**4 - 20 - 2*h**2 + 11 + 11 - 24*h - 57*h to r*h**3 + b + z*h**2 + j*h + p*h**4 and give j.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-742)\/212 - (-2)\/((-1)\/(1398\/(-792))).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 620d5a + -3?\nAnswer: 620d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c375 (base 14) to base 10.\nAnswer: 72035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -162, -244, -326?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.4567013 and -0.14.\nAnswer: 12.3167013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:29 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 932.0405 nanograms?\nAnswer: 0.9320405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (17\/18)\/(2\/(-3)) and 3\/(5616\/7724) - 32\/208.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-504)\/64))\/(-2) - (-1480)\/(-56)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79.18 + -2.46. What is p rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*b - 41 + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*q = -30, -3*r + 20*q = 19*q - 16. Let l(t) = 2*t + 9. Let g(w) = -6*w - 26. Determine r*g(p) + 14*l(p).\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -297 + 1?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/94, -14531, -1\/7, 3\/7, -3?\nAnswer: -14531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 120*h**2 - 493*h + 159. Let w be i(124). What is the highest common factor of 472 and w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxg when three letters picked without replacement from {x: 2, g: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 11 + 5*v - 682*v**3 - 120*v**3 + 12*v**4. Let d(j) = 4*j**4 - 268*j**3 + 4*j + 4. Let m(t) = 11*d(t) - 4*z(t). Factor m(h).\nAnswer: -4*h**3*(h - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3. Let k(i) = 21*i + 19. Calculate 6*d(b) + k(b).\nAnswer: 21*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -913573, -1827133, -2740691, -3654247, -4567801, -5481353?\n\"Answer: x**2 - 913563*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**7\/20 - 17*r**5\/60 - 5*r**4\/24 - 2*r**2 - 2. Let h(u) be the third derivative of l(u). Let x(t) = -2*t**2. Give x(h(n)).\nAnswer: -127008*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l)*(10 + 6 - 1) + 4*l - 3*l + l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -83, -74, -0.4, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3392*g - 27145. What is x(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4)*1 - (-221)\/(-65).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 5004*q - 5008.\nAnswer: 4*(q - 1252)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 2864*w**2 - 5727*w - 8590\/3.\nAnswer: -(w + 1)**2*(w + 8590)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(5\/(-7))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*a - 3*t = 6, 0 = 2*a + 2*t + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {z: 2, a: 2, g: 2, q: 1, v: 1, l: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 4. Let t be y(-6). Let m be (-415)\/(-20) - (-2)\/(t*4). Let b be m\/14 - (3\/(-2))\/(-3). Which is smaller: -2\/37 or b?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68620115 + 4?\nAnswer: -68620111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 9 - 9. Let q(f) = -f + 1. Let w(s) = 13*s - 11. Let v(l) = 44*q(l) + 4*w(l). Calculate v(t(c)).\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419 by 425913.\nAnswer: -419\/425913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173867 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -11227?\nAnswer: 11226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37818 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(416)\/(sqrt(200)*-1)*3.\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/5 + -27 + (-36345)\/(-1425) + 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157 + 160. Solve c = -4*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.005 at least -17272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 1\/4*k**3 - k**2 - 3\/4*k + 9\/2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 at most 165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (92\/(-736))\/(2\/(-64)) + (-29)\/8\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 1535418?\nAnswer: 15354180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {v: 2, f: 1, t: 5, g: 4, a: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 222255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/160*-8)\/((-4)\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2 + 326*n + 1336 = 0.\nAnswer: -4, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 56*o + 37. Let k(j) = 55*j + 38. Let w(i) = -3*f(i) + 4*k(i). Is w(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 693000 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 231 - 1821*g**3.\nAnswer: -1821*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/(-16) - 1\/4. What is the second derivative of 8*n - 7*n + b*n - 4*n**2 wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5789, -11580, -17371, -23162?\n\"Answer: -5791*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -1\/18*k**6 + 0*k - 1\/4*k**4 + 0*k**2 + 4 - 1\/9*k**3 - 1\/5*k**5. Factor p(b).\nAnswer: -b**2*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5025 - 5102. Is f <= -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0768 less than -133.5627?\nAnswer: -133.6395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 481 - 477. Let z be (-32)\/12*1\/(-12). Which is the closest to 3? (a) x (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 2, o: 2, s: 1, n: 1, u: 1}. Give prob of sequence si.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpynrvrrrrvv. What is prob of picking 1 y, 1 v, 1 n, and 1 p?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 + -210. Let n = 0.5 - -5.5. Let q = n + -5.8. Sort -3, l, q, -1\/5 in descending order.\nAnswer: q, -1\/5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times -1429?\nAnswer: -71450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20212 (base 3) to base 14\nAnswer: -d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*c + 7. Suppose -c*r + 42 = r. Suppose -3*t - 10 = -22. Calculate the remainder when r is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**4 - 523*q**3 - 520511 with respect to q.\nAnswer: -32*q**3 - 1569*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) 0.3 (b) 2\/3 (c) -0.176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022959 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, z: 7, j: 6}. Give prob of sequence zzj.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 13, 128, -18 in descending order.\nAnswer: 128, 13, 11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102 (base 3) in base 16?\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5601 less than -5598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Differentiate -z - 3 + 2 - 3*h**2 - 1 wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, x: 2}. What is prob of sequence tx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1072 divide 805780592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 218*l - 224*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839461091 to the power of 1\/2, to the nearest integer?\nAnswer: 42889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**3 + 140*k**2 - 8*k + 27. Give v(-20).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250*2\/15 + -31.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuwrwwbbrwwwwww. What is prob of picking 1 w and 2 b?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -597518?\nAnswer: -1792554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29.2043266 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63413, 63399, 63385, 63371?\n\"Answer: -14*x + 63427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3224192411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r + 1. Let z(p) = p**2 - 30*p + 83. Let a be z(3). Let x(w) = 5*w**2 - w - 2. Calculate a*o(n) + x(n).\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 4. Is -11 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29177611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59271715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 + 8*q - 15. Let r be k(-10). Let w(y) = -2*y - 6. Let l be w(-8). Solve -2*b + x + 6 = 2, r*b = x + l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59654790 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25975 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 26*t - 0. Solve 0*w = w + 3*g, w = t*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4223 = -7*w + 2078 + 2084, 8*d = 4*d - w + 29 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -41, -73, -121, -191?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (-2*sqrt(171) - sqrt(171))*3))\/(-6*sqrt(81))*-4 + 0 + (1*1*sqrt(2299) - sqrt(2299) - (0 + sqrt(2299) + -1))**2.\nAnswer: -20*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 4*g**3 - g**3 + (-2*g + 2*g + 2*g)*(6*g**2 - 4*g**2 - 11*g**2).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -2 + 43 + -15 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, 1, 5, 5379, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, i: 4}. What is prob of picking 4 i?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*l + 4*z - 18, -l + 3*z = -47. Let x(p) = -p**2 - l*p**3 + 22*p**3 - 76*p**3. What is the units digit of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/5 + 2\/5*v**3 - 32\/5*v + 6\/5*v**2 = 0. What is v?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.6 and 0.3.\nAnswer: 6.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y**2 - 20*y + 4. Let o(t) = 5*t**2 + 4*t - 1. Let r(b) = -3*j(b) - 14*o(b). Determine r(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1124267 from -0.2.\nAnswer: -1124267.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1782, -3202, -4636, -6090, -7570?\nAnswer: -9082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282998895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (26 - 58) - (-1 + 14)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*c + 412*c - 2 + 2 in the form g*c + w and give g.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1426*b**2 + 20*b + 28*b + 23*b - 69*b to c*b**2 + m + v*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 291 * -0.08271\nAnswer: -24.06861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 11*z + 13. Let o be k(12). Is 236\/7 - o\/((-7)\/2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 9.21.\nAnswer: -5.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 + x. Let w(s) = 3*s**3 + 4*s**2 + 11*s + 9. Let n(m) = 4*c(m) - w(m). Let u = -79 + 88. Is 6 a factor of n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -30*n**2 + 4*n + 6. Let x(c) = -60*c**2 + 9*c + 13. What is 9*k(z) - 4*x(z)?\nAnswer: -30*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 0) + 4 + 1 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 4*k**5 - 3*k**5 + 89*k**3 + k**4 - 90*k**3.\nAnswer: k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/(k**(-1)\/k))\/k)\/k)**17*k*k\/k**(2\/29)*k*k*k**(-1\/4)\/k)**(-49))**34 assuming k is positive.\nAnswer: k**(-1901739\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 + 139338*i**3 + i + 59778*i**3 + 0 + 0.\nAnswer: 199116*i**3 + 14*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -1895, 0.3 in ascending order.\nAnswer: -1895, -31, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*u - 6*u - 572, u - 745 = -5*n. Calculate the remainder when n is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29500 and 1890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3933 and 213348?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000173485881 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + 13*l - 7*l**4 - 3 + 2 - 10*l. Let d(h) = -6*h**4 + 2*h**3 + 2*h - 1. Let f(k) = -3*d(k) + 2*n(k). Differentiate f(m) with respect to m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*k + 21 = 0, t - 4*k + 2 = 15. Solve -3*r + 4*r - 6 = -z, z - 10 = -t*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543518473.\nAnswer: 569, 955217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 77 = -o, 71 - 25 = 2*h - 2*o. Suppose -4*x + 58 + 30 = 0. Solve -3*s - x - 13 = -5*i, -5*i = -s - h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - -2 - 1) + 843 + -840?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:48 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2211)\/(-15) - (-3)\/(-30)*-6. Suppose 0 = 2*b - 3*b - 2*g + 76, 0 = -3*b - g + 248. Let f = x - b. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 1:17 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122201022 - 12?\nAnswer: -11122201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 1596, 3502, 6158, 9570, 13744, 18686?\nAnswer: 24402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99105, 198218, 297337, 396468, 495617, 594790, 693993, 793232?\n\"Answer: v**3 - 3*v**2 + 99115*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*f*j**3 - 132728*f*j**2 + 6335*j**3 wrt j?\nAnswer: 156*f + 38010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u + 1. Let w(j) = -6*j**2 - 3*j. Let x = -924 - -926. Let y(v) = -5*v**2 - 2*v. Let t(i) = x*w(i) - 3*y(i). Give t(n(h)).\nAnswer: 243*h**2 + 54*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohpehehuhhhhdh. What is prob of picking 1 e and 1 d?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/3 + 17184*d**4 - 34386*d**3 - 1185812*d**2\/3 - 206200*d + 618672 = 0.\nAnswer: -25778, -3, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d + 18 = 0. Let h(z) = -5*z + 5. Calculate the remainder when h(d) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1161 + 1172. Sort -4, 0, s, -2.\nAnswer: -4, -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 2*m**2 + 2. Let u(h) = -h**3. Suppose 12*l + 199 = 211. Give l*j(w) + 2*u(w).\nAnswer: w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 63 = -x. Let z be 42*(10\/6 + 0). Let v = z - x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 381734*u**3 + 232035*u wrt u?\nAnswer: 2290404*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*p - 240*p = 5*x - 1039, -2*p = -x + 215. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/(h**(-5)*h))\/((h**(-3\/8)*h)\/(h\/(h**4*h)))*((h**(-1)\/h)\/h)**(-40\/3)\/((h**1*h)\/h**(-2\/3)) assuming h is positive.\nAnswer: h**(785\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 97 = 7631. Is 72 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 5*i - 27, 4 = i + y. Let d(b) = b**2 - 3*b - 7. Let g be d(i). Suppose -11 = -n - 2*s, s = -n + 4 + 2. Put n, g, 4 in descending order.\nAnswer: 4, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369 and 37269.\nAnswer: 37269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = s + 5*h, -4*s + 36 = -3*h + 7. Suppose -4*w - 8 = -2*n + 8, -s*n - 2*w = -4. Suppose -q = y - 27 - 1, 72 = n*y - 2*q. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1446 - 18?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -ce (base 15) in base 13?\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2121*r**2 - 12*r - 1045*r**2 - 937*r**2 as t*r + d*r**2 + p and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -804c6703 + -2?\nAnswer: -804c6705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, 2\/9, -4.1, -12?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1398, -7687, -13976, -20265, -26554?\n\"Answer: -6289*d + 4891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = h + 3*b, -4*h - 11131 + 11127 = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(106\/1113))\/((-72)\/240)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*s - 4 = 0, -5*w - 1 + 22 = -4*s. Let p = w + 1. Let f = -19 + 23. What is the greatest common divisor of f and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -87093*s + 8. Let c be g(-1). Suppose -c = -13*k - 10*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z + 4. Let b be f(6). Let r be (4\/(-8))\/((-2)\/b). Let k be r\/(-30)*(-6)\/2. Which is bigger: -1\/8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Suppose -3*g**3 - 12*g**2 + 9*g**4 + i*g**4 + 8*g - 5*g = 0. Calculate g.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/138)\/((-2)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -148, -131, -114, -97, -80?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6229\/4150 + -2\/2075. Suppose p + 27 = 4*p. What is r in 9*r**2 + p + q*r**3 + 33\/2*r = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, 1, -2, 2 in increasing order.\nAnswer: -4, -2, 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1733760*y - 3467566*y + 1733809*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 10:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from {a: 1, x: 4, c: 1, v: 3, p: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (8\/(-10))\/(48\/(-4920))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2013*z + 2219. What is u(2)?\nAnswer: -1807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495644040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 9*w**2 - 2*w - 6. Let s be m(4). Let a be (s + 8919\/18)\/((-1)\/120). What is a rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -17*m + 120. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0 + 1 + 6 - 36*n. Suppose 2*i = 10*i + 48. Is a(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-1)\/(-7) + 0. Sort x, 3\/5, 4 in decreasing order.\nAnswer: 4, 3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 99*n - 2002. What is o(126)?\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*d - 5*z, 15*z = -5*d + 10*z + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6833269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375588 divided by -125196.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**7\/7 - 59*a**5\/20 - 5*a**4\/2 + a**3\/6 - 2456*a. Find the third derivative of r(c) wrt c.\nAnswer: 360*c**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/32 and -11\/276.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j, 5*m = 9*m - j - 16. Suppose q + 5 = 4*a, 3*q = a - 0*q - m. Let s = -0.9 - -1. What is the closest to s in a, -7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4134383\/2045904 - -1\/42623. What is the common denominator of -33\/56 and r?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1442*s**2 + 87*s**2 + 914*s**2)*(6*s**3 + 6*s**3 - 4*s**3).\nAnswer: 19544*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from foffapaoofofaf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 28980*g**2 + g**3 + 183465*g - 28980*g**2 - 183465*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-2)*-33*-2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**0*v)\/v)\/v)**37\/(v**(2\/5))**(-1\/65))\/((v**(-2)\/v)**(1\/2)*v**6\/(v\/(v*v**(-2)\/v*v))) assuming v is positive.\nAnswer: v**(-1621\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -18*f + 136. What is the third derivative of -55*h**3 + 24*h + f*h**2 - 39*h + 15*h + 5*h**2 wrt h?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 13940196?\nAnswer: 1\/4646732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(144)\/(2*sqrt(8)))\/((sqrt(54) - sqrt(7776)*2 - sqrt(54))\/sqrt(9)) + 4.\nAnswer: -5*sqrt(3)\/48 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 113 - (2\/(-8) + 9\/4). Let l = o + -102. Solve -2*h - l = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*42889.\nAnswer: -1501115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 45 = 5*n, 5*z - 887*n + 44 = -885*n for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 9624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/12 - p**3\/2 - 5*p**2\/2 - 2*p. What is o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 25*o**2 - 30*o - 49. Is v(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 252248652*k**3 - 5302448536318092*k**2 - 37153763766266993061444*k.\nAnswer: -4*k*(k + 21020721)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 1008960518068?\nAnswer: -1008960518066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 22842002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -435 - -447. Calculate the remainder when 226 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 8*d + 1. Let i(q) = 8*q**2 - 17*q - 3. Let m(t) = -4*i(t) - 9*o(t). Let v be m(2). Suppose -15 = -2*p + v. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -42, -40, -20, 18?\n\"Answer: 9*q**2 - 43*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5104 and 36168.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(500)*-4)**2.\nAnswer: 320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4839230 by -83435.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + w**2 - w + 1. Let i be x(-2). What is the least common multiple of (-1)\/(-1 - -2*6\/14) and 2 - (i - -2 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 1, j: 1, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*u - 6, 4*k - 6 = 2*u + 4. Suppose 3 = -r, -5*r - 17 - 4 = -u*g. Suppose -g*d + 36 = 4*h, 5*d = 2*d + 6. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.017? (a) -0.3 (b) 18 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 613921117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20020 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 36086?\nAnswer: 36089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**3 - 3*q**2 - q. What are the prime factors of d(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 15*i = -37. Let x = -22 - i. Suppose 3 - x = -3*k. Solve -w = -3*w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -222 - -4?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15459 - -16107. What is the smallest common multiple of 1458 and k?\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 + 3. Let i = 1.65 + 0.35. Which is the third smallest value? (a) q (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 8 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + f = 8, -2370*x - 2*f + 9 = -2369*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h + 235. Calculate the remainder when 1399 is divided by t(21).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -11.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -24.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 19 - 3 - 3 + 1 - c + 8.\nAnswer: -c + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/5, 63, -3\/4, -10.\nAnswer: -10, -3\/4, -0.2, 4\/5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 622 + -5384?\nAnswer: -4962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*k - 7. Is (k\/(-12))\/(-2*2\/(-2388)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 10:46 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 41 + 131 = 0. Suppose -1560 = l - 5*l. Calculate the lowest common multiple of q and l\/(-20)*(-4)\/6.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466988 + 933973 + 2*m - 3*m**2 - 466954.\nAnswer: -3*m**2 + 2*m + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z - 108. Let f be a(-18). Suppose -4*i + 54 = -10. Solve 4*t = -f*b + 5*b - i, b = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2 + 4. Let t be 8 + (-4 - (k - 0)). Let y(g) = -3*g**2 + 3*g + 9. Let q(l) = l**2 + l - 1. Let f(x) = 2*q(x) + y(x). Give f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257134?\nAnswer: 2, 83, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*s + 2*m, 4*m = 3*s + 259 - 260. Which is the nearest to -0.1? (a) -105 (b) 4\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4386671*h**4 + 24012798?\nAnswer: -17546684*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-1)\/(-1) + 11. Let h be t*(-1)\/(3\/(-6)). What is the first derivative of 23 - h + v + 0*v wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230316 by 51.\nAnswer: 4516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -137*a**3 - 642*a**2 + 525*a. Differentiate w(z) with respect to z.\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*x - 10, -2*w - 4*x = -5*w - 16. Let a = 5 - w. Suppose 3 - 17 = -7*i. Solve -a = 5*q - 4*o, -o = 4*q + 5 - i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50788 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*t = -20, -25*t = 2*d - 29*t + 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111 + 116. Is 15 a factor of 7\/3 + g\/(-15) - -268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -44. Let d = x - 14. Let v = 21 + -15. Let m(h) = 5*h**2 + h. Let y(p) = -4*p**2 - p. Calculate d*y(w) + v*m(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*d**6 - 41*d**5 + 760*d**3 + 4*d**2 + 24*d + 41203 wrt d?\nAnswer: -2400*d**3 - 2460*d**2 + 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3)*(14\/49)\/1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 616 by -2825.\nAnswer: -616\/2825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*i - 1 = -3, -12 = -4*s + 4*i. Let z be 0\/s + 2 - -1. Solve 0 = -u - z + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144585 = 92*l + 43*l. Is 119 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29778.01 centimeters to nanometers.\nAnswer: 297780100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9986*j**3 - 2*j + 2*j - 2389*j**3 + j**2 - 3 + 1535*j**3.\nAnswer: -10840*j**3 + j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(35)\/(sqrt(5)*-2) + sqrt(567)*-2 - (sqrt(252) + 1 + -3 + (-1 + sqrt(7) - sqrt(7))))**2.\nAnswer: -147*sqrt(7) + 16855\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -5*o**3\/3 - 7*o**2 - 30*o. Let d be i(-5). Suppose -37*v + 673 = -d*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 45 = 3*z, 3*z = -y - 2*y + 63. Let k = 34 - y. Let p = 42 + k. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) + sqrt(3) + 0 - sqrt(3)) - sqrt(3) - (1 + sqrt(147)).\nAnswer: -7*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/(-26) + 1\/(-1). Let f = p - -9676\/91. Let q = f - 108. Which is the third biggest value? (a) q (b) 1\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5 - 452*j**4 - 10556*j**3 + 452*j**2 + 10560*j = 0. Calculate j.\nAnswer: -80, -33, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0*-6371\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3785520, -3785540, -3785574, -3785628, -3785708, -3785820, -3785970, -3786164?\n\"Answer: -k**3 - k**2 - 10*k - 3785508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 19*r**2 - r + 30. Let w be g(19). Suppose 6*i - 7 = w. Suppose -2*t - 3*a + 168 = 4703, 0 = i*a + 15. What is t rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9099.96 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -7093?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123, -716, -2325, -5460, -10631, -18348, -29121, -43460?\n\"Answer: -85*l**3 + 2*l**2 - 4*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -13. Let n = 0 - m. Suppose n*s + 12 = 2*s. Sort 2, s, 4.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/69200 and 31\/83040.\nAnswer: 415200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, 4, 5, -16, -8.\nAnswer: -16, -8, -5, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h + 3. Let r(o) = -48*o**3 - o. Let z be r(h). Let i be (-9594)\/(-1394) - (-4)\/34. Calculate the greatest common divisor of i and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48404*w**3 + 20795*w + 1 wrt w.\nAnswer: -290424*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*t + 2753*t - 355*t + 0 + 0 in the form h*t + k and give h.\nAnswer: 2263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -426.001108 + 426. Round p to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7504 and -4149372\/553 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.11 + -2422.57?\nAnswer: -2479.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.51 (b) 1131 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 85 = -15*x. What is the least common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -414311400?\nAnswer: 414311422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**5 + 12570*y**4 + 32341535*y**3 + 15409856240*y**2 + 61251729180*y + 61122564400 = 0.\nAnswer: -851, -2, 4220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-11) - (-1540)\/(-484). Let f be 8\/6*(-21)\/14. Sort f, 3, s.\nAnswer: s, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vzzzvvvzzvvz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8097\/4 + 2025. Factor -3\/4 + x*r**3 - 3\/4*r + 3\/4*r**2.\nAnswer: 3*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 12 = -3*c - 0, -c = -3*w - 10. Suppose -4*z = 20, -2*i + 3*i + c = 2*z. Is -8 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*4\/4)\/((-55)\/(-11)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgw when three letters picked without replacement from {g: 4, w: 1, x: 1, q: 4, z: 7}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -9)\/27*(3 + (-333)\/33 + 9).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*w = -33, -7*v + 9*v - 81 = 3*w. Is (-3 - v)*-1 - -1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**2*q**3 - 7894436*p**2*q**2 - 532*p*q**3 + 475*q**3 + 1 wrt q.\nAnswer: 6*p**2 - 3192*p + 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 22*d**2 - 35*d + 117. Give p(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from hfddoyf.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -133531, -133533, -133537, -133543, -133551, -133561, -133573?\n\"Answer: -k**2 + k - 133531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871*l + 2452*l - 788*l - 786*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Differentiate -4*o**3 + 4*o**y + 3 + 4*o**3 - o**3 wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-38)*-2*(-1)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69607 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y. Let o(t) be the third derivative of -t**4\/3 - 5*t**3\/6 - 140*t**2 - 5. Give 6*c(f) - o(f).\nAnswer: 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 = -l. Suppose l*b + 525 = 14*b. Let g = b - 116. What is the remainder when g is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a96e0 (base 16) in base 12?\nAnswer: -295740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2 = -3*s - 4, 0 = 3*s - 3*y - 3. Let d(n) = -n**3 - 11*n**2 - n - 7. Let p be d(-11). Calculate the greatest common factor of p and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 20587836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345677160 divided by -8.\nAnswer: 43209645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123210 + -1?\nAnswer: -123211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23, 0, 4, -1, -1204 in decreasing order.\nAnswer: 4, 0, -1, -3, -23, -1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0 (c) 2\/7 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*b = -118, 3*s + 287 - 106 = -0*s - 5*b for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.063 - -2.937. Put w, 0.1, -2\/7, -1 in increasing order.\nAnswer: -1, -2\/7, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + (-64)\/12)*3 - -910. Suppose -2*k = 3*g - h, 3*k = -3*g + 8*k + 930. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(-14)\/q)\/q*q))\/((q**4*q*q)\/q))**(-1\/63) assuming q is positive.\nAnswer: q**(-11\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, -3, 28\/9, -0.2 in ascending order.\nAnswer: -3, -0.2, 1, 28\/9, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627435 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232852928?\nAnswer: 2, 7, 11, 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936702926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 14*b**2 + 15*b + 12. Let y be d(-15). Let m be y\/2 - 1\/(4\/16). Solve 3*w + 6 = 0, m*l + 0*w = 3*w + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.873 and 0.2?\nAnswer: -1.5746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllhhmmmmjkv. What is prob of picking 1 k and 3 m?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.332 less than 12\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124050 = -1025*l + 617*l - 2073*l for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 10:51 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 3233336 = 346517. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*n**2*v*w**2 - 2*n**2*v*w + 24*n**2*w + 3*n*v*w - 3*v*w**2 wrt w?\nAnswer: -120*n**2*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -556 + 1691?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/42 or 0?\nAnswer: 11\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50643\/4 - -12503. Let d = 5\/82 - -6947\/41. Let h = d + t. What is the common denominator of -19\/6 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6057 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 16, -1\/5, 0.04, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -33812*d - 5. Determine u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138361.39 milliseconds in days?\nAnswer: 0.024749553125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + 106. Let r(u) = u**3 + 22*u**2 - 20*u + 77. Let d be r(-23). Calculate the greatest common factor of i and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 978684*w - 978810*w - 8064 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6404.622 micrometers in millimeters?\nAnswer: 6.404622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10)*30\/72?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-4 + 24)) + 28\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*p + 4 = 4*p, 2*s - 3*p = -7. Suppose 2*f = -3 - s. Which is the biggest value? (a) 13 (b) 0 (c) -5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 524804 - 4?\nAnswer: 524800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -5. Let d = y + 6.8. Which is the nearest to 0.1? (a) 1 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*q - 2211 = -0*o, 0 = 3*o - q - 1655. Let j(z) = -4*z**3 - 27*z**2 + 3*z - 4. Let y be j(-7). What is the greatest common factor of o and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -15*i + 195. Sort 0, 3, -4, i in decreasing order.\nAnswer: i, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 16*d = -29*d + 15*d + 7, -5*d - 16 = 6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*u - 6 = 119*u + 467 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 22*a**3 - a**2 + 19*a - 17. Let p be r(7). Suppose 110*l = 109*l + p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - -3) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 - 3*n**2 - 21 - 4*n**2 in the form y + p*n**2 + j*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 9540\/200 + -33.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/8 (b) 2\/13 (c) 249 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20908, -40375, -59844, -79315, -98788?\nAnswer: -118263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 1 (c) -2\/7 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**3 + 6*t**2 - 6*t - 7. Let l(h) = -6*h**3 + 7*h**2 - 7*h - 8. Determine 7*k(w) - 6*l(w).\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4 - 33*t**3 + 94*t**2 - 21*t - 38 = 0. What is t?\nAnswer: -19, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 11*b - 7. Let f be x(-10). Suppose f = 3*y - 0. List the prime factors of y\/((-3)\/(-6)) - -4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 141, 325, 669, 1227, 2053, 3201, 4725?\nAnswer: 6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*k = -24*k - 668 - 471 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 0.3, 4, 8.6, 0.2, 89 in increasing order.\nAnswer: 0, 0.2, 0.3, 4, 6, 8.6, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -472*a*v**2 - 6633*a*v + 5478454*v**2 wrt a.\nAnswer: -472*v**2 - 6633*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (-18 + -48 - 2)) + -15.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44418296213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1.94.\nAnswer: 3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1628975*a*g**4 - 2*a*g - 5561*g**2 - 6 wrt g?\nAnswer: 39095400*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1 (c) -4 (d) -1\/3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, 6\/5, -4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 7) in base 12?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4883622 is divided by 195342?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -9\/41 (b) -0.2 (c) -2\/13 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-1\/4)*f)*f**4*f**(-1\/2)*f**(-5))\/((f**(3\/4)*f**(-5)\/f)\/((f\/(f**(4\/3)\/f*f*f)*f)\/f**(-1\/2))) assuming f is positive.\nAnswer: f**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 8:10 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2050969715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 144, 266, 388?\n\"Answer: 122*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37 and -614702862231.\nAnswer: -614702862268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6080 divided by 1216?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(39)\/sqrt(3)*-5 + (sqrt(13) - ((sqrt(117)*-1)\/sqrt(9) + sqrt(13))) + -3)**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16037728 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, f: 4, d: 2, y: 5}. What is prob of picking 3 a?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -29 - (4\/(-12) + (-26)\/(-6)). Let j(k) = -k**3 - 33*k**2 - 2*k - 53. Let r be j(a). What is the highest common factor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 2:24 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + 28. Suppose 5*n = 4*t - 183, -15*n = 4*t - 19*n - 192. What is the highest common divisor of s and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - h = -16, 0 = d - 34*h + 35*h - 6. Solve -11*l - d*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5150943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49085*y**2 - 11195*y**2 + 20910*y**2.\nAnswer: 58800*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 1226 - 836. Let q(b) = -b**2 + 21*b - 68. Let s be q(14). What is the greatest common divisor of j and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xidiitxxmhmdix. Give prob of sequence ddh.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803618513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/3 + m**3 - 3*m**2. Differentiate c(g) with respect to g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)*5)**2*-4.\nAnswer: -18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - j - 428, 2*j - 151 = -k - 53. Suppose f - 5*w + k = 2*f, -2*w = 5*f - 438. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n. What is the remainder when 11 - -2 - (-72)\/(-18) is divided by j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -305*y**3 - 1545*y**2 + 25520*y + 1680.\nAnswer: -5*(y - 7)*(y + 12)*(61*y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*1\/(-1)*16\/24. Suppose 2*d + 19 = -3*u, 6 = -3*u - d - 11. Let y be 2\/(-2)*(1 - 2). Put l, y, -3, u in decreasing order.\nAnswer: l, y, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6449 + -351. Is b a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -54, -2, 1\/65?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 12. Let h be s(-11). Let b = h - -21. Solve 2*o - 4 = -b*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16802196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -0.1. What is g rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283.5386 * 7\nAnswer: -1984.7702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.11726153 (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -201147.3 to the nearest one thousand.\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - (-8 - -9 - 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.24 + 13.04. What is the closest to 1 in -20, -1\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273750 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3. Let u(r) = -r**4 - 6*r**3 - 10. Suppose 0 = 2*s - 5*j + 23, -19 = -4*j + 1. Let q(a) = s*u(a) - 6*d(a). Differentiate q(c) with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4251512 millimeters to kilometers.\nAnswer: 0.0000004251512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*w - 3 = 0, 7 = -5*i + 4*w + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93.2499915222 + 93.25. What is x rounded to seven dps?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9439*k + 4517*k - 13958*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489572416 to the nearest integer?\nAnswer: 22126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1039583 and 10381?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 10*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, -0.5, 2, -75, -4\/5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, x: 1, b: 3, n: 7, d: 4}. Give prob of sequence gnbn.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1097783, 2195562, 3293341?\nAnswer: 4391120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.3 - 51.3. Let y = 45.37 + 0.21. Let n = y + t. Round n to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 2*h + 4\/3*h**3 + 0 + 0*h**2. Let k(s) = s**2. Determine y(k(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let s = g - 0. Let h(r) be the third derivative of -r**6\/120 + r**5\/12 - 5*r**4\/24 + 2*r**3\/3 + 10*r**2. Calculate h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101776?\nAnswer: 2, 13, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:10 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + sqrt(13)*-1))**2.\nAnswer: -360*sqrt(13) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*o - 5*l + 79, -5*l - 2 = o. Is 39 a factor of (-120 + o\/3)*(-7)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:08 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3 + (-66)\/(-90))*5500\/234300?\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyll when four letters picked without replacement from yyyywywlwwywlyillyww.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93094*s**3 + 81511*s**3 - 2*s**2 + 2*s**2 - 142120*s**3.\nAnswer: 32485*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9395843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)\/(n\/(n*n**(3\/2)*n)*n)*n*n\/(n**(-1\/6)\/n)*n**(-1\/2))**(-42) assuming n is positive.\nAnswer: n**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -237.91 - 0.09. Let p = 238.000845 + z. What is p rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1247888.1983 - 19.8017. Let j = -1247863.000109 - o. Let g = j - 45. Round g to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, j: 1, s: 8, k: 1, r: 8}. Give prob of picking 1 k, 2 s, and 1 r.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -11. Suppose -2*i - 4*g - 6627 = -7*i, -6625 = -z*i + 5*g. Suppose -4*b - 447 = -s - 2*b, -i = -3*s - b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a century?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678438 is divided by 2094.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31*(-40)\/1905 + 7 + -7. Let q = 2\/127 - f. Factor -q*i**3 + 2*i**2 + 2\/3 - 2*i.\nAnswer: -2*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-13)\/65)\/((-4)\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 7*n**2 + 4. What is i(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/((-180)\/18) + -3 - (-109)\/(-4))*-4\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88.1 + -96. Let v = -7.9000196 - g. What is v rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5024 = p, -4*p - 5360 = i - 25462. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 3. Let r(f) = 1054*f**3 + 12*f**2 - 11. Calculate -r(y) - 4*u(y).\nAnswer: -1054*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1, 2 in descending order.\nAnswer: 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let t be m(2). Suppose t*q + 0 - 24 = 0. Let j = -8 + q. Sort -3, 3, j in ascending order.\nAnswer: -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16253*g - 610 = -16375*g. Suppose -35\/6*t**3 + 0*t - 25\/3*t**2 + 5\/6*t**g + 10\/3*t**4 + 0 = 0. What is t?\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:57 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -14. Let m be x + 10 + (0\/1 - 2). Suppose m*h - 4*d - 108 = 3*h, 2*d - 266 = -4*h. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 66\/(-24))\/((-154)\/34). Let i = j + 2\/77. Let o = 11 - 6. Which is the nearest to o? (a) -1\/3 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.0032 - 7. What is r rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 39*l + 6. Let k be l*((3 - -3) + -1 + -2). Solve -6 = -3*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o + o + (0 + 2 - 3)*(-6*o + o + 2*o))*(-o**3 - 2*o**3 + 4*o**3).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -39*v - 15*v**2 - 1\/3*v**4 + 0*v**3 + 0. What is the derivative of f(m) wrt m?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*m + 2 - 9 = 0, 0 = -4*z - 4*m + 28. Let q be z\/28 - 2\/8. Suppose 2*g - 49 - 199 = q. Is 36 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 3*v + 2. Suppose -f - 3 = -2*f. Let u be b(f). Suppose -2*i + 4*h + u = 0, -7 = 2*i + h + 4*h. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2. Let x(s) be the second derivative of -s**3\/6 - 19*s - 1. Calculate j(x(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*j**2*n**3 - 3*j**2 - 1028*n**3 wrt j.\nAnswer: -42*j*n**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1235608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1. Let r be t(5). Suppose -6*m = -r*m - 2252. Is m\/10 - (-4)\/10 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 0 - (-2 + -9 + -2) and 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.996 + 1.996. What is the closest to n in 11, 4\/7, 1\/11, -2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 + 3*z**4 - 8*z**4 + (3*z + 1 - 1)*(-3*z**3 + 2*z - 2*z).\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*i - 60 = -180*i. Solve -t + 3*d + 6 = 0, 3*t = -2*t + 3*d + i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 69*i**2 - 4*i + 3. List the prime factors of l(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -622*y + 655*y. Let j(s) be the first derivative of 0*s - 12 - 15*s**4 + 32\/15*s**y + 400\/9*s**3 - 125\/3*s**2 - 1\/9*s**6. Factor j(n).\nAnswer: -2*n*(n - 5)**3*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 316*r**2 + 22932*r + 801. What is x(113)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -13.82 (c) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/4453 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 0*d + d**3 + (-6*d + 6*d - d**2)*(-2 + 2 - d) + (4 - 4 + 2*d)*(-3*d**2 - 3*d**2 + 4*d**2) as k*d + v*d**3 + b*d**2 + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5311*h**2 - 5305*h**2 + 10628*h**2 - 2*h**3.\nAnswer: -2*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {l: 4, e: 1, t: 7, v: 1, u: 3, h: 2}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sleeclcgcqgqggc. Give prob of picking 1 l and 1 g.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216797 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.20082287+-10276\nAnswer: -10275.79917713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 11:11 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 385. Suppose -p*o = -64*o - 130. Calculate the greatest common factor of o and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1420612.97 to the nearest one hundred.\nAnswer: -1420600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*z**2 + 111*z**2 - 2*z**3 + 139*z**2.\nAnswer: -2*z**3 + 161*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z + 5164 = 2*b, 4*b - 10342 = -3*z. List the prime factors of b.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -644 divided by 2?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:35 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 224196955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(sqrt(200) - -2*(sqrt(200) + 2)).\nAnswer: -360*sqrt(2) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4014 + 0.0014. What is the second smallest value in 4\/9, -16, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -24.012.\nAnswer: -24.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:38 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*o - 4 + 30, 2*o - 2*d = 4. Let p(m) = m**2 + 8*m + 6. Let z(y) = -9*y + 1. Let f be z(1). Calculate the remainder when p(f) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/10*8\/360*-5\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371235, -371227, -371219, -371211, -371203?\nAnswer: -371195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 9. Let b(f) = -f + 1. Let d(p) = -3*b(p) - x(p). Calculate d(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 237?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1560 and 8?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000279824 to 7 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 30. Suppose -7*w = -9*w + a. What is the units digit of 1274\/21 + 8\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 3*u)*(2 - 1 - 4) + (-2 + 2 + 2)*(2 + u - 2))*(8*u**2 - 2*u**3 + 122 - 122).\nAnswer: 14*u**4 - 56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 83, -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + l**2 + 4 - 2*l**2 + l + 0*l. Let i be z(-3). Let j be i\/5*(-75)\/18. Do 0 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -3*x**4\/32 + 3*x**3\/8 - 3*x\/2 - 20. Suppose t(f) = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*c = 10, -5*g + 3*c = 32 - 9. Let q = 6 + g. Suppose 4*y - q*j - 22 = 0, -3*y - 2*y + 11 = 3*j. Calculate the remainder when 7 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/((u\/(u*((u**(1\/5)*u)\/u)\/u*u))\/u))**26\/((u**(-1))**(-37)*u**(-1\/4)*u**6*u) assuming u is positive.\nAnswer: u**(-3371\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/7 (b) -0.3 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -230*y + 144. What is the thousands digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 105, 133, 179, 249?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*o**2 - 25*o**2 - 25*o**2 - 52*o**3 - 16*o**2 - 1 to the form c*o**3 + t*o + x + b*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + 2*c = -14, -4*c = 5*d + 10. Suppose 0 = 2*a + d - 62. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 9*y**3 - y**4 - y**2 + 5*y**3 + 0*y**4.\nAnswer: -y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 16*m + 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let b = 4 - p. Suppose b*t - 1 = 34. Solve 3*q - t*q = -5*u, 10 = -2*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 754 - 483*t**2 - 233 - 521 in the form l*t**2 + u + i*t and give l.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(3*m - 2 + 2)*((0*m + 3*m - m)*(4 + 1 - 4) + 8*m - 6*m + 5*m) to a*m + n + k*m**2 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2510*s**2 - 4391 + 2256 + 2135.\nAnswer: 2510*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuzulaluuluuuluuzlz. Give prob of picking 2 z.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5. Let a be 48\/(-15)*(-4 + -1). Suppose -5*p + a = -4. Suppose 14 - p = -2*o. Let j(g) = g**3 - 7. Determine o*j(u) - 7*q(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-568 - 40 + 54)*(0*v + v + 0*v).\nAnswer: -554*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l - 1. Calculate the lowest common multiple of k(1) and 2 - (-8 + (2 - 0)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.053 - -0.053. Let h = t + 46.73. What is h rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 - 112*o**3 - 12*o**3.\nAnswer: -133*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12805 - -13049. Which is the second biggest value? (a) r (b) 0 (c) 3\/4 (d) -2\/9 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 12. Let w = 11 - 4. Let u be f(w). Suppose -4*q = -u*q. Solve -5*i + 1 = -4, q = -2*a - 2*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b - 4 + 4)*(4*b**3 - 2*b**3 - 3*b**3) + (2*b**2 - 4*b**2 + 3*b**2)*(-3*b**2 - 2*b**2 + 6*b**2) + 4*b**4 + b**4 + 9*b**4.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3364 is divided by 256.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*b**3 - 1\/6*b**4 + 0 + 0*b + 0*b**2 - 1\/6*b**5.\nAnswer: -b**3*(b - 1)*(b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 = s + 1, 4*v = 16. Suppose -s*g + 7*g = 42. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/5)\/13)\/(-1)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122.6? (a) 2\/7 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 818 + -814. Let o be 1\/(-3) - 17\/3. Let g(b) = -b**3 - 7*b**2 - 7*b - 1. Let f be g(o). Solve -4*q = 2*p - 33 + 11, -f*p - m*q = -37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - 5*f)*(-402 - 63*f**3 + 402 + (-2*f**3 - 2*f**3 + 5*f**3)*(-1 + 4 - 1)).\nAnswer: 305*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95010055 and 0.956?\nAnswer: 95010054.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 323*c + 4253. What are the prime factors of g(26)?\nAnswer: 3, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 + -0.06. Let r be (-13)\/21 - 4\/(-14). Let u = 13.2 - 11.2. Which is the biggest value? (a) r (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101001?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-820)\/(-82)*(-2)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 + 54*h - 4. What is t(-2)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + 20*y - 1. Determine v(-7).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329864.\nAnswer: 2, 41233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u)**(4\/13))**35 assuming u is positive.\nAnswer: u**(-140\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167*-0.3.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjz when three letters picked without replacement from amazjasazaaaam?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let q(z) = z**3 + 3*z**2 - z + 5. Let a be q(-4). Let w = a + 13\/2. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*-4 + sqrt(84) + sqrt(84))*1 - (sqrt(84) + (4*sqrt(84) - sqrt(84))*1))\/(-1*(-3*sqrt(108)*1 - sqrt(108))))**2*3.\nAnswer: 175\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75321955 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -323, -1247, -3073, -6101, -10631?\n\"Answer: -50*b**3 - b**2 + 31*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = 2*a, 0 = 5*a + 2*x - 3*x - 9. Let z be (-1)\/a - (-7)\/6. Let y = -3\/10 - -1\/10. What is the closest to z in y, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.78 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - ((-1551 - 3) + -6). Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 27. Let d(o) = -5*o + 77. Let k(j) = -8*c(j) + 3*d(j). Let x(v) = v**3 + 5*v**2 - 9*v - 2. Let t be x(-6). What is the tens digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-8))\/((6\/(-32))\/((-995)\/(-796)))\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176505)\/(-2214))\/205*-6?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a + a + a + 2*a. Let r(v) = 2*v. What is p(r(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 2\/7, -2\/3 in increasing order.\nAnswer: -2\/3, -0.07, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0438217*5\nAnswer: 0.2191085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = -m, 4*m - 1 = -u + 5. Find v, given that -6 - 6*v - 3\/2*v**u = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11414?\nAnswer: 2, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*b + 32*b**2 + 124*b)*(-9 + 18 - 5)*(-1 - 1 + 4).\nAnswer: 256*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orooojjjrrojj. What is prob of picking 2 j?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -db - -30bdb?\nAnswer: 30b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:16 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1965.1 - 1965. Which is the nearest to 64? (a) -2\/9 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44444121 (base 8) to base 2.\nAnswer: -100100100100100001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6292105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30095 - -30099. Which is the nearest to 0? (a) o (b) -0.256 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 5*r - 117381 = 0. What are the prime factors of r?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + y - 49 = 0, x + 3*y + 33 = 4*x. Let o = -13 + x. Suppose 14 - 2 = -o*g - 4*a, 25 = -5*a. Solve -3*f + f = -g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 109, 449, 1115, 2215, 3857, 6149, 9199?\nAnswer: 13115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47456695 to the power of 1\/2, to the nearest integer?\nAnswer: 6889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 29.4.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9050 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 89*p + 2206. Let r be h(-25). Let y(n) = -11*n - 71. Let d(v) = 7*v + 47. Let l(s) = 8*d(s) + 5*y(s). What is l(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249121 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 215355772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let d = -8 - -6. Let j(m) = 5*m - 2. Suppose -56 - 25 = 3*p. Let v(x) = -66*x + 27. Let w(y) = d*v(y) + p*j(y). Determine c(w(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42495749 or -42495748?\nAnswer: -42495749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 256650 divided by 150?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 15804*m**3 - 47440*m**2 + 31632*m.\nAnswer: 4*m*(m - 2)*(m - 1)*(m + 3954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*o + 35, -30 - 4 = -3*h - 5*o. Suppose -h*c - 28 + 172 = 0. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0 + 8\/3*q**2 - 12*q**4 - 28\/3*q**3 + 0*q = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2909 and 3?\nAnswer: 8727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 236 - 52 - 52 - 38 - 49 - 10*x. Let v(s) = -2*s**2. Calculate p(v(w)).\nAnswer: 20*w**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -25*o**2 + 4 - 4 + 27*o**2. Let r(d) be the second derivative of d**6\/240 + d**4\/6 + d. Let h(x) be the third derivative of r(x). Calculate n(h(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3655, -9720, -19829, -33982, -52179, -74420, -100705?\n\"Answer: -2022*f**2 + f - 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/33*(-1 - 0)*(-30)\/4. Let r(j) = 12*j + 7. Let l(b) = -6*b - 3. Give x*l(h) - 2*r(h).\nAnswer: 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -8. Let j = 7 + -4. Suppose -z = -2*z + j*y + 37, -3*y = -5*z + 125. Calculate the remainder when z is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 * 33\nAnswer: -5610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -0.4 (b) 67 (c) 12.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13874 = -41*o + 15391 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*u - 0*z + 106, 4*u - 3*z = 101. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*z + 0*z + 10 = 0, -3*z - 6 = 4*w. Suppose p - 4*k + 405 = 2*p, -2*p - 3*k + 815 = w. Let r = 1976 - p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 337, 341, 347, 355, 365, 377, 391?\n\"Answer: o**2 + o + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100 - 28 - 58 - (66 + (-5 - -14))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4700*8.\nAnswer: -37600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104650 and 159692.\nAnswer: 642760300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*s = -72*s + 90*s - 672. Solve 0 = 5*d - 4*g - 14 + 27, 5*d - s*g = -16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 9*j - 3. Let i be b(2). Suppose -q - 6938 = -4*n, -i*n - q + 7*q + 5214 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -401, -862, -1481, -2252, -3169, -4226, -5417?\nAnswer: -6736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**2 - 65*m - 1. Let r(n) = 2*n**2 - 15*n. Calculate 9*r(t) - 2*x(t).\nAnswer: 2*t**2 - 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**3 - 6*a**2 + 8287104*a - 209228268 wrt a?\nAnswer: -3*a**2 - 12*a + 8287104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 19 + 206*d - 20 - 14 - 11)*(-3 + 3 + 3).\nAnswer: 618*d - 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -2)*1\/(-2). Let i be (-1)\/d - (1 - 6). Calculate the common denominator of 111\/10 and 118\/20 + i\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -60 - 45. Let f = d - -47. What is the remainder when 41 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10030608 divided by -642.\nAnswer: 15624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 - 57. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + (-16)\/(-6). Let n be g\/6 - 10\/(-4). Differentiate -4 + 9*s**3 - 4 - n*s**3 wrt s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4) - (-1)\/(-2). Let t = 92.77 - 96.7. Let i = -7.93 - t. Which is the fourth biggest value? (a) i (b) 1\/8 (c) v (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 44999*j + 16. Let g = -20 + 47. Let i = g + -11. Let f be r(i). What is f rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*l**2 + 7*l + 62028 with respect to l.\nAnswer: -82*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6420269555.\nAnswer: 5, 7, 17, 10790369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 25. Give h(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, h: 2, s: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 9:57 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f + 165 = 0. Let v = 17 + -32. Let n = v - f. What is the greatest common factor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0*y - 11 = -4*a, 0 = 3*a - 5*y - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)\/h)**(11\/6)*h**(1\/4)\/h**(-7) assuming h is positive.\nAnswer: h**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, 75, 65, 55?\n\"Answer: -10*t + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9))**(-8\/13)*(q**(2\/9))**(-4)*q**(-2)*q*q**(-1\/7)*(q**(-1\/3)*q)\/q**0 assuming q is positive.\nAnswer: q**(-1006\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 274175.66 to the nearest 100.\nAnswer: 274200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 96178 = 7*j - 96106, 2*w = 4*j - 36 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32133 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {h: 2, z: 4, v: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h + 61*h + 109 - 79 to the form t + o*h and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -1\/20*j**5 - 4*j**2 + 0*j**4 - 1\/120*j**6 + 0 + 0*j + 0*j**3. Find the third derivative of i(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131514 (base 7) to base 12.\nAnswer: -6a3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 2 - 23)*(5*a**4 + 4*a**2 - 4*a**4 + 0*a**4).\nAnswer: -43*a**4 - 172*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*a + 266*a + 4980 - 1428 = -1344 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17\/6398 = 4.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 31*c**3 - 3*c - 401 - 23*c**3 + 405. What is the tens digit of t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8452*b*v**3 + 3*b*v**2 + 189*b*v - 409*v**4 + 896235 wrt v?\nAnswer: 50712*b*v + 6*b - 4908*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let j(t) = 22514*t. What is f(j(v))?\nAnswer: 1013760392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 39\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 53.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9504 = 9*v + 9234. Let p(w) be the third derivative of -1\/12*w**6 + 0*w - v*w**3 + 29*w**2 + 0 - 25\/12*w**5 - 35\/2*w**4. Suppose p(y) = 0. Calculate y.\nAnswer: -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**2. Let j(u) = 6285*u**2 + u + 16. Give j(b(i)).\nAnswer: 509085*i**4 + 9*i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6222 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 2*j - 2*f + 16, 36*j = 5*f - 3*f - 10*f - 44 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6653 + 2*f**3 - 114*f + 0*f**2 + 112*f**2 - 6653.\nAnswer: 2*f*(f - 1)*(f + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*n + 106*n + 16 = -3*s, -n - 5*s - 22 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564258 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/60 + 10*t**2. Let j(w) = -9*w. Determine j(q(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82070937335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11726, -13974, -16222?\n\"Answer: -2248*i - 9478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 2. Let r = -12 + 22. Let h(j) = 2*j**2 - 21*j + 13. Let c be h(r). Let i(d) = d + 1. Let l = 2 + -3. Determine c*i(p) + l*y(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. What is the third derivative of j**3 - 6*j**2 + i*j**3 + 3*j**2 wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, -6, -15?\n\"Answer: -9*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127242917 to the nearest integer?\nAnswer: 11280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -39*q**2 - 8*q + 21. Let w be m(9). Round w to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 8) to base 15.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**2 - 2*t. Let f(h) = -17*h. Calculate a(f(k)).\nAnswer: -1445*k**2 + 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-6)*4)\/((-6)\/(-9)). Let w be x + (-4533)\/(-18) + 8\/48. Let f = w - 151. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 1. Let o(u) = 6*u - 3. What is -4*i(q) - o(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*1)*-3 - (sqrt(88) - -3*(sqrt(88) - 1*sqrt(88))))\/((sqrt(88)*2 - sqrt(88))\/sqrt(11)*-2).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3740307 (base 8) to base 11.\nAnswer: 645718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = u + 435, 1095 = 5*z - 4*u - 0*u. Suppose -5*y + j + 290 = 4*j, j = 4*y - z. What are the prime factors of y?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001176500773 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 + d**5 - 3*d**5 + (d**2 + d**2 - 3*d**2)*(3*d**3 + 0*d**3 - 4*d**3) + d**5 - 3*d**5 - 2*d**5 + 2*d**5 + 4*d**3 - 4*d**3.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 239114 - -1555?\nAnswer: 240669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -9387, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k - 27. Let n be h(-8). Suppose y + g = -0*y + 146, n*y + 3*g - 722 = 0. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {c: 3, u: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*(5680\/(-80))\/426?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7619.01938 + -7619. What is s rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34484 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 9*a - 14. Let t be b(7). Solve t = -8*h + 3*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 7*m**7\/33 - 224*m**6\/165 + 67*m**5\/110 + 104*m**4\/33 - 116*m**3\/33 + 16*m**2\/11 - 2*m. What is f in c(f) = 0?\nAnswer: -1, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4687492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2662, -10567, -23712, -42103, -65746, -94647?\nAnswer: -128812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + 5. Let i be ((-6)\/(-5))\/(7\/1470). Is (-3 - 0) + 12\/r + i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1 - 1 + 1 - 6*o + 3*o. List the prime factors of s(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1960\/4851 + (-2)\/11 - 1100\/90\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2752 and 5607200.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*b**2 + 9*b**2 + 3*b**2 + (b**2 - 3*b**2 - 2*b**2)*(-6 + 2 + 2) to the form t*b**2 + h*b + s and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*q - 5*o + 22, 0 = 3*q - o - 48. Let t be (-4)\/(-10) - -1*(-6)\/q. Suppose -4 = -t*f + 4*f. Which is smaller: f or -6\/61?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157313, -158497, -161709, -167963, -178273, -193653, -215117?\nAnswer: -243679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 379*u - 681. Let p(q) = 381*q - 677. Let c(f) = 2*m(f) - 3*p(f). What is the first derivative of c(r) wrt r?\nAnswer: -385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 937 - 938. Which is smaller: i or 1366?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 2\/47, -0.1, 0.1, -1\/4.\nAnswer: -17, -3, -1\/4, -0.1, 2\/47, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Let c(m) = -m**2 + 2*m - 3. Let r(q) = -2*q**2 + 3*q - 7. Let l(b) = 9*c(b) - 4*r(b). Calculate l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 3*m - 4, 4*o + 35 - 51 = -4*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3412087 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a kilogram in grams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -990*b**3 - 3*b**2 + 3*b**2 + 0*b**2.\nAnswer: -990*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -76. Let o = -1 + 1.14. Let r = o + -1.14. Which is the nearest to -1? (a) -3 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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 o(m) = -m - 2. Let k be o(3). Let x(b) = -3*b**2 - 2*b - 2. Let r(n) = -6*n**2 - 3*n - 3. Let s(j) = 3*r(j) - 7*x(j). Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3))\/o*o)\/o*o*o*o**(-2\/11))\/(o\/(o*o**(1\/25)*o)*o*o*o**(8\/5)*o) assuming o is positive.\nAnswer: o**(346\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/48*-4)\/((-91)\/312)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/316725 and -133\/67019010.\nAnswer: 335095050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -195, -381, -623, -933, -1323, -1805?\n\"Answer: -2*x**3 - 10*x**2 - 98*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let j(y) = -y**2 + 15*y**2 + 7*y**2 - 6*y**2 - 6 - 9*y. Let x(z) = -4*b(z) + j(z). Factor x(l).\nAnswer: (l - 1)*(15*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 22 = -5*t + 13 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21032 (base 4) to base 3\nAnswer: -210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -84db?\nAnswer: 8501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33098 and 58357?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30146832899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-381612)\/(-190796) - 6\/3. Let w = c + 90437239\/620087. Let z = -23077\/156 + w. What is the common denominator of -59\/8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8472*r = -7914*r - 13950 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6 * -1.64.\nAnswer: -10.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -7*s + 69. Let f be (s\/(-5))\/((-2)\/(-5)). Factor 15\/4*d**2 - f*d**3 + 3\/4 - 3*d.\nAnswer: -3*(d - 1)**2*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -133014?\nAnswer: 133011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -5, 0.5, -25, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*o + 39 = -3*l + 112*o, o = 3. Let u(n) = 4*n - 6. What is u(l)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 9. Let h be f(13). Let y = 9\/2 - h. What is the second smallest value in 4, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8006823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 399*12\/252*7. Solve -c*d = -134*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 75 = -26. Suppose 14*d + 1069 = 327. Let z = t - d. Solve 20 = j + b + z*b, -5*b + 25 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - 1. Let d(x) = x + 2*x + x**2 - o*x**2 - 2*x. Let p be d(2). Put 0, 5, p in decreasing order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w + 0*w)*(-w**3 + 0*w + 0*w) + (1 + 2*w**4 - 1)*(3 - 6 + 1).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -80. Suppose -4*h + 22 = -2*n - 160, 0 = -5*n - p. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1\/(59 - 0)). Suppose 4*x - 50 = 2*z, -5*z - p = -x - 3*x. Suppose 2*f = -23 + 89. What is the greatest common divisor of f and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.03 (b) 0.1 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4 + 0*s**2 + 4*s**2 - 9*s**2. Let f be g(-6). What is the greatest common factor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -968*t**2 - 176*t + 36744 wrt t?\nAnswer: -1936*t - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)*3\/(-36). Let v = -886.98 + 886.48. Which is the biggest value? (a) 10 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6979 + 9487. Is n bigger than 2508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.9 + 1.9. What is the closest to -1 in h, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a century?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x**2 - 10*x - 14. Calculate the remainder when a(4) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by -40?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73419.\nAnswer: 3, 24473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96.4 - -89. Let q = -7 - c. Let g = -0.12 - -0.02. What is the closest to g in 0, q, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-12 - 7 - -9). Sort -1\/32, o, -0.2.\nAnswer: -0.2, -1\/32, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4234 divided by -73\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88081\/(-28)*(-3 - (1 + 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -9. Let g(x) = x**2 - 11*x + 12. Let l be g(10). What is the least common multiple of d and 7 + -4 - (l + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:16 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -924, -1204, -1484?\n\"Answer: -280*s - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 + (4 + 3 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 555 - 558. Put -12, 1, v, 3 in decreasing order.\nAnswer: 3, 1, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 374710\/9 + -831553\/36. Let j = -5338249\/288 + k. What is the common denominator of -47\/20 and j?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24654 and 3?\nAnswer: -73962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 157*i**7\/210 + i**5\/30 + 7*i**3\/2 + 171*i**2. What is the third derivative of n(u) wrt u?\nAnswer: 3768*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wff when three letters picked without replacement from fwwwwwwwwfwwwwfwww.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - v - 1475 = -3*f, 4*v - 908 = -3*f. What is the greatest common factor of f and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57117 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 8*p + 3. Calculate the remainder when 57 is divided by r(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (176\/(-24) + 7)\/((-1)\/84). Calculate the highest common divisor of 1484 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/((-540)\/(-254175))*(-32)\/10?\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*m + 6 = 0, 0 = -0*q + 2*q + 5*m - 13. What is the common denominator of 27\/8 and 23\/q - (-4 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 400126.28 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51711251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u, -3*g + 218*u - 9 = 215*u. Suppose 5*j + 90 = 95. Is g at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -3357386.\nAnswer: -3357384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 3*z + z)*(-27 - 35 + 61 - 2*z**3 + z**2).\nAnswer: 4*z**4 - 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 8*n**2 - 9*n + 2. Let f be i(9). Let o(x) = 0 - 6 + f*x + x**2 + 2 + 0. What is the units digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 9744 = -62*j. What is the remainder when 341 is divided by j\/87*(-2 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19362 - 11427. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2769 is divided by 408?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23343937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 143.\nAnswer: -4\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 836754067\/672 - 1245170. Find the common denominator of 167\/840 and a.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*z + 3 = -0, 3*z = -5*x + 21. Is (41\/x - 7) + 60086\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -5 (c) 4\/37 (d) 1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1288, -1\/5, -9, -2\/5, -1.41, 5?\nAnswer: -0.1288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*u**6 + u**3 + 22*u**2 + u?\nAnswer: -3600*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -4. Let t(z) = 2*z - 6. Let l(o) = o**3 - 8*o**2 - 8*o - 6. Let f be l(9). Let b(j) = 3*j - 11. Let k(a) = f*b(a) + y*t(a). Give k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(7\/5))**6 assuming b is positive.\nAnswer: b**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -332200322?\nAnswer: 332200331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) - 1 - 216216\/(-1170). Calculate the highest common factor of x and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 291*n**4 - 3*n**3 + 297. Let a(o) = 1454*o**4 - 16*o**3 + 1486. Let i(h) = 3*a(h) - 16*y(h). Differentiate i(l) with respect to l.\nAnswer: -1176*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let a(z) = 3*z**2 + 3*z. Let y(f) = -a(f) - 3*u(f). Let w be (-3)\/(-12) + (-14)\/(-8). Let o(t) = -22*t**2 + 14*t**2 + 10*t**w. Determine y(o(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 32*d - 21. Let o(f) = -2*f + 7. Let v be o(11). Let b be p(v). Sort b, -1, 2, 1 in decreasing order.\nAnswer: b, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g**2 + 37*g - 149. What is the hundreds digit of c(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1603, 6410, 14421, 25636?\nAnswer: 40055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 87. Let c be j(-43). Let d = c + -362. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 + -753?\nAnswer: -749.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**2\/2 + 10*x + 54687. Suppose -2 = -t + 5*d, 5*t - 29 - 3 = 3*d. Determine f(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880388305 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 324682*i - 16 + 3*i**4 + 324682*i - 2*i**3 in the form k*i**4 + u*i**3 + j*i**2 + w + g*i and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322*q**2 - 15656 + 15656 + (-1 + 1 - q)*(2*q + 0*q - q) + (1 - 3*q - 1)*(-7*q - 2*q - 15*q) to z*q + x*q**2 + b and give x.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/124256 and -75\/2.\nAnswer: 124256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 60 = 22*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 4*b**2 - 1. Let k(z) = z + 3. Let y be k(-11). Let t be (-18)\/y - (-12)\/16. List the prime factors of p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 49*c**2 + 10. Suppose -4*i = 0, 0 = 2*v + 7*i - 4*i + 14. Is a(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25887979 is divided by 649.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 88 = 4*m, -2*m = m. Calculate the least common multiple of 36 and k.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9200, 9300, 9400, 9500?\n\"Answer: 100*a + 9100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 + x**2. Suppose -4 = o - 5*o. Let y be b(o). Is y at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/4 of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-1))\/f)**(13\/3)\/(f*f**(1\/3)\/f*f**(1\/3)))**(1\/8) assuming f is positive.\nAnswer: f**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*v**3 - 23 - 42926*v**2 - 68*v**3 - 6*v + 42924*v**2)*(-7*v + 0*v + v) in the form d*v**3 + n + u*v + h*v**4 + t*v**2 and give h.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 1151 + 164 - 264*n**2 + 987 + 264*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4152*o + 228352. Determine j(-55).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3*(-9 - -21) + -17. Sort 1, -5, z in increasing order.\nAnswer: z, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5206 is divided by 118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485201059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143027175851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1023*-1942.6.\nAnswer: 1987279.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 135 = -2*y, -3*y = 3*c - 0*c + 102. Let z = -34 - c. Put 3, 20, z in decreasing order.\nAnswer: 20, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.036 (b) 3 (c) 0.053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 198855 = 4*t + 198825, 0 = 13*u - 3*t - 78 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10852.\nAnswer: 2, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sew when three letters picked without replacement from wse.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, 3 in descending order.\nAnswer: 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*-2*-32. Suppose 3*q = -q - p. Is 17 a factor of ((-12)\/2 - -1)*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + o + 47 = 18, -5*o - 25 = -a. Let q(t) be the third derivative of t**5\/60 - t**4\/24 - t**2. Calculate the remainder when q(a) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001000001110 (base 2) in base 10?\nAnswer: -16910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*r - d - 7, 254*r - 256*r = -3*d - 21 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 17*w + 51*w to the form n*w + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1065a (base 11) to base 12.\nAnswer: -8b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-7250\nAnswer: 362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 50. Solve 5*f - 27 = 5*x + z*f, -3*x = -3*f - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.57 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 3) + (-72 - -58) + 3 + -3 + -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j. Let n(w) = -w + 14*w - 15*w. Give n(u(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1338*w + 1740*w = -37230 + 231144 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let q(u) = -u**3 - 4*u**2 - 2*u - 1. Let w be 1\/3 - (-7)\/(-3). Let h be q(w). What are the prime factors of b(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9963 and 405.\nAnswer: 49815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -345 + -113?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((6\/20)\/(60984\/2420))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6292 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 139. What is the closest to 17 in -3, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/(z*z**4))\/(z*z\/z**(2\/9)*z**(2\/7)))\/((z*z**0)**20\/((z*z*z**(-2\/13)*z)\/z**(1\/5))) assuming z is positive.\nAnswer: z**(-112274\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(12)\/(5*-2*sqrt(6)) - sqrt(4)\/(sqrt(2)*-2)*6))**2*-3.\nAnswer: -45414\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 28, -7, 8 in increasing order.\nAnswer: -7, 0, 4, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4296 + 156*n - 4296)*(-4*n**2 + n**2 + 4*n**2)*(n - n - 3*n**2).\nAnswer: -468*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 25. What is the second biggest value in -2\/3, r, 2, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10030124020 - 24?\nAnswer: -10030124044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from zzuuoo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 29. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1352 + 1381. Solve k*d = 28*d + 7 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -27*s**5\/2 + 957*s**4 - 18284*s**3 + 46856*s**2 - 30328*s + 4624 = 0?\nAnswer: 2\/9, 2\/3, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-48)*-16)\/((-18)\/(-1))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 2*z**2 - 3*z + 2. Let j be n(-3). Suppose j*a - 12 = 5*t, -3*t - 5 = -a - 0*t. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n - n)*(5 - 4 + 0).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 19. What is the tens digit of j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 589 = -71. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022122020 - -20220?\nAnswer: 20022220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10622.998983 - -10623. Round k to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r**2)\/r*r)\/r)\/(((r*r\/(r\/r**(2\/25)))\/r)\/r*r*r))**48)**7 assuming r is positive.\nAnswer: r**(7728\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39.7396 and 0.058912?\nAnswer: 39.798512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -138*q - 3\/2*q**3 - 168 - 30*q**2.\nAnswer: -3*(q + 2)*(q + 4)*(q + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 174?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/69 and 79\/18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40803746.\nAnswer: 2, 53, 384941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -701663\/184170 + 3\/8770. Calculate the common denominator of 1\/6 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = n + 3*p + 84, -5*p + 75 + 17 = 7*n - 3 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = -2. Suppose z*t = 6*t. Solve t = -5*d + 4 - 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1867\/(-372) - 8\/(-22)*968\/(-5456))?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 5*y. Is -5 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/6 - 7*u**5\/2 + 65*u**4\/3 - 55*u**3 + 135*u**2\/2 - 6*u + 10. Determine k so that v(k) = 0.\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 14*p**2 + 15*p + 31. Let m = -72 + 59. Let k be i(m). Let t be (28\/70)\/(1\/k). Sort t, -3, -4 in decreasing order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 10. Let j(y) = -y**2 + 3 - 63*y + 64*y - 2. Let b(n) = -n**3 - n - 2. Give k*j(m) + b(m).\nAnswer: -m**3 - 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:38 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Let g = -1.5 - -7.5. Let z = g + -2. Which is the nearest to 1? (a) m (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -26*h + 25. Let g be o(1). What is the closest to -2\/3 in 0.5, 8, g, 0.04?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -28.1, -16, -0.3, 174.4?\nAnswer: -28.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -5*r, 2*r + 5*z = -4 - 1. Suppose 5*x + 475 + 50 = r. Let k = 151 + x. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7383.527kg in tonnes?\nAnswer: 7.383527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 151\/6*v**3 + 0*v + 0 - 43\/12*v**4 - 36*v**2. What is the derivative of q(w) wrt w?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 - 2*t**2 + 5*t - 5. Let f(n) = 2*n**3 - 3*n**2 + 4*n - 4. What is 5*f(g) - 4*q(g)?\nAnswer: -2*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 328 + -326. Suppose -d*l - 3*l + 248 = -3*o, 2*o = 4*l - 200. Calculate the highest common factor of 884 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47143537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -367928 - -67.94552\nAnswer: -367860.05448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**2 + 191*a + 31. Determine w(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + (sqrt(400) - sqrt(25))\/sqrt(5))**2 + sqrt(20)\/((1*sqrt(4) + sqrt(4))*1) + -2.\nAnswer: -95*sqrt(5)\/2 + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*l - 138 = d + 8*l, -2*d = 41*l + 75 + 90 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -198 + 113 + (-1 + 4 - (22 - -15))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-5))*s\/(s*s**(-1)*s))**(-13))**(-1\/13))**(5\/6) assuming s is positive.\nAnswer: s**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**5 - 11*j**5 - 3*j**5)*(3 - 5 + 1)*(189 - 101 - 100).\nAnswer: -180*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -741334, -1482900, -2224466, -2966032, -3707598?\n\"Answer: -741566*r + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.81 and 9.\nAnswer: 9.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 3 - -4) + (-35 - -9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(6\/2))\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 + 186. Which is smaller: m or 29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 2*w**2 - 2*w - 1. Calculate c(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/935 + -62597\/5610. Find the common denominator of -5\/9 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -39\/55 (b) 0.5 (c) -2432\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, s: 3, r: 1, k: 3, t: 1}. What is prob of picking 1 r and 2 k?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 524*p**2 - 534*p**2 + 1058*p**2 - 84*p**3 - 171*p**3.\nAnswer: -255*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -392 + 386 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4 - 7*g**2\/2 + 34*g + 772. Let r(t) = -44*t**3 + 41*t**3 - 4 + 5*t - 19. Give -7*r(s) - 5*y(s).\nAnswer: s**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1221*q + 199. What is k(1)?\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 3:53 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -9) + 8 + (0 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 279, 458, 637?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -2, -1, 20\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/75377 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742384.41 rounded to the nearest 10000?\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 54. Let d(o) = -853*o + 5121. Let y be d(6). What is the greatest common divisor of v and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.2 + 45.2. Which is the nearest to x? (a) 1 (b) 2 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*m - 6, -3*m + 5 + 13 = -3*t. List the prime factors of 21\/m*(-1250)\/(-75).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 2*p**2 + 24. Give l(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 134*j + 233 = -1081. Let o = 4 - -2. Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8189353 at most 8189349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 0.4, 101, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -30*r. Let i(b) = -5*b. What is z(i(k))?\nAnswer: 150*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 614341115 to the power of 1\/3, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**3 + i - 2. What is the derivative of k(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/81792 and -137\/2796?\nAnswer: 19057536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a*u**3 + 91*a*u**2 + 2417*a + 2*u**3 + 9*u**2 + 2838*u wrt u.\nAnswer: 24*a*u + 182*a + 12*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 3, 90, -1, -5, 15.\nAnswer: -5, -1, 3, 15, 60, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**9\/12600 + d**8\/8400 + d**4\/4 + 4*d**2. Let k(m) be the second derivative of u(m). Factor k(g).\nAnswer: -2*g**3*(3*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/5 and -13\/36308.\nAnswer: 181540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**2 - 33*n - 10.\nAnswer: (n - 5)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/5 + 2719618*b**2\/5 + 5439233*b\/5 + 2719616\/5 = 0. What is b?\nAnswer: -2719616, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - -0.25. Let p = 89 - 92. Let d = 2 + -1. Which is the nearest to d? (a) m (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1131 + 2*w**3 + 2250 + 20*w - 1138 to the form c + u*w + v*w**3 + o*w**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065300 a multiple of 475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1650\/(-350) + 2\/(-7). Which is the nearest to 1? (a) n (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0465109 litres?\nAnswer: 46.5109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 989, 998, 1015, 1046, 1097?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 1. Let x(p) = 4*p - 5. Let i(j) = -x(j) + 3*y(j). Let c be i(6). Suppose 4 = 2*z + 14, 3*z + 5 = -c*t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 26660961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 7. Let u(n) = 5*n**2 + 2547*n - 806499. Let c(t) = 14*s(t) - 2*u(t). Find r, given that c(r) = 0.\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -620428.877 to the nearest one thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {i: 1, s: 9, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5822224*z**2 - z - 10. Let k be i(-3). Suppose c = -3*p + k, 3*c - 6*c - 5*p = -157200015. Round c to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3530641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0*q + 0*q + 2*q - 3*q + 1 + 4*q**2. Let g be h(1). Solve 0*y - 16 = g*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 85 = 4*a. Let n = a + -9. What is the smallest common multiple of n and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t + 30 = 35*t. Suppose -754 = -t*i - 274. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.37 + -0.57. Let r = 0.393 + -0.063. Let d = 0.07 + r. What is the nearest to v in d, -1, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 20*w + 21. What is the tens digit of b(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(9\/4))\/t)**(9\/5) assuming t is positive.\nAnswer: t**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 3. Let u(q) = -3*q - 109. What is 4*p(o) - u(o)?\nAnswer: -5*o + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 16*g**2 - 58*g - 15. Determine o(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 7*l - 2. Let a be s(-5). Let p(y) = y**2 - 8*y + 5. Let n be p(a). Let z = -9\/4 + 41\/20. What is the closest to 0 in n, 4\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4581 divide 97797786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -21. Let k = d + 16. What is the third derivative of 2*v + 0*v - k*v + 11*v**2 + 12*v**4 wrt v?\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**2 - 8*a**2 - 6*a**2 + 18*a**2. Let t(q) = 8*q. Determine t(u(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19454 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*t - 141 = 169*t. Is t smaller than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779489108.\nAnswer: 2, 1279, 152363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = t + 18, 4*t - 5*a - 27 = -85. Let q(c) = -91*c - 18. What are the prime factors of q(t)?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53399567, 53399565, 53399563, 53399561, 53399559?\nAnswer: 53399557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**4\/4 - 5*u**2. Let x(c) = -c - 3. Let y be x(-2). What is t(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*g - 3 - 51, g = 2*w - 54. Suppose -w = -4*l + l. Solve 2*y - l = -1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/33)\/(o\/o**1))\/(o**(-7)\/(o**(3\/5)*o*o*o)))\/(o*o**(2\/45)*o**(1\/10))**(-3\/2) assuming o is positive.\nAnswer: o**(8089\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 - (0 - -2)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14))\/(12\/(-294)*-7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 313 - -2?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**7\/14 - 2*r**3\/3 + 3*r - 4. Let j(u) be the first derivative of d(u). Find the second derivative of j(p) wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4036947.\nAnswer: 3, 1345649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19393 and 130075.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/520)\/(95\/19*(36\/100)\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.29 + -169.71. Let v = g + 172. Sort 5, v, -0.5, 0 in increasing order.\nAnswer: v, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -5. Let d be (-4 - (-5 + 2))*4. Let o be 1 - (-1 - (-2)\/(-2)). Sort o, d, k in increasing order.\nAnswer: k, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*d + 3, 15 = 3*d + 143*s - 148*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncccgccgcccccgccn. Give prob of sequence gngc.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:45 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/9, 2\/5, 2\/51, 0.3, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 3956?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 - 687 = -104*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 - 834003*b + 44 + 834343*b + 0*b**2 + 130 + 164 = 0. Calculate b.\nAnswer: -169, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 - 5*s**2 - 8*s - 7. Let g(o) = 2*o**3 + 4*o**2 + 7*o + 6. Let f = -180 + 176. Determine f*i(r) - 5*g(r).\nAnswer: 2*r**3 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2387 and 57?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 - 280*k - 4992 = 0.\nAnswer: -16, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(1\/6) assuming x is positive.\nAnswer: x**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 2946*y - 11800.\nAnswer: (y - 2950)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/15*(-59)\/2124.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(153\/(-51))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - -32. Suppose -3*o + 45 = -3*c, q + 11 = 5*o - 4*c. Let p be 110\/(-4)*(5 - (5 - -4)). Calculate the highest common factor of p and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.2627 millilitres in litres?\nAnswer: 0.6462627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231526776 divided by 28940847.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*-0.08566817\nAnswer: -0.0222737242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from bnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-52)\/39)\/((-80)\/420*-14))\/(35\/(-4))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3246 = -m. Let l = -454 - m. Let k = -371 + l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3332*y - 3309*y - 21436 = 0. Solve 0 = -121*a + 36 + y for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n - 2. Solve 0 = 5*v - x - 0*x - 8, -n = 4*v + 2*x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - -4) + -5 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6)*l*l*l\/(l*l**(-27)*l))\/((l\/(l*l**24))\/(l**(-1\/7)\/l)) assuming l is positive.\nAnswer: l**(2143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.5, 2, 3, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 4)*(-30 + -2). Let d = 55 - 7. Calculate the greatest common divisor of a and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -107, -106, 51, 454, 1193, 2358, 4039?\nAnswer: 6326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 5, l: 7, a: 3}. What is prob of sequence as?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30*(-5 + (12 - 1))\/8 and 83\/94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67921 divided by -4.\nAnswer: -67921\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w. Suppose 5*t + w*a + 6 = -3*a, 2 = 4*t - a. Suppose 2*d + 3 = 3*d. Solve t = d*o + o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -24*l + 20*l + 4*k, 2*l - 115*k + 569 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35858 is divided by 416.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 21 - 91 + 16771*y + 36.\nAnswer: 16771*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 28*a - 145. Let i be k(15). Let w(o) = i*o + 14 + 50*o - 99*o. What is w(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9055)\/(-92361))\/((-10)\/(-4)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1909113 divided by 5.\nAnswer: 1909113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + 3*b. What is the tens digit of (-42)\/b*75\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10262, -20564, -30868, -41174?\nAnswer: -51482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69178711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -9, -7, 11, 51?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-15) + (-42)\/(-10). Suppose -5 = -a*x + 3. Solve -3*w - 2*v = -16, -5*w - 5*v + 26 = -x*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 35*k - 61. Let s(g) = 420*g - 730. Let x = 4 - 1. Let v(h) = x*s(h) - 35*n(h). Differentiate v(l) with respect to l.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 9:41 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 - 4.1. Put 5, 2, i in ascending order.\nAnswer: i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 76 = -3*k. Let y be 1\/(-4) - 17\/(-4). Let s(r) = 2*r**3 - 7*r**2 - 11*r + 67. Let g be s(y). Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w\/((w*(w\/(w**(-7)\/w*w))\/w*w)\/w))\/(w**(-3)\/w**(-2\/23)) assuming w is positive.\nAnswer: w**(90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:37 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 719 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/61, -5, -12, -0.11, -2\/11 in descending order.\nAnswer: 2\/61, -0.11, -2\/11, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-126)\/7)\/((-3)\/16). What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from jeedeeijcedjjcej?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1260\/(-64) + 1)*-222. Let u = y - 4143. Let b = -1\/50 - 429\/50. Find the common denominator of u and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/8560 and 101\/15160830.\nAnswer: 121286640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -2*l - 2*l. Let j = -23 - l. What is the nearest to 1\/2 in 2\/5, j, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wawwwwwwwwwwwaa. What is prob of sequence wwaw?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38163767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2730 + -1680. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002136043 rounded to 7 decimal places?\nAnswer: 0.0002136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1436475*g**3*w**3 - 18*g**2*w**3 - g**2*w**2 - g*w - 234*w**3 - w**2 wrt g?\nAnswer: -8618850*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10*b - 10*b + 18*b. Suppose 5*n - l = 18, -n + 2*l + 12 = -l. Let t(m) = 3 + 3*m - n. What is t(q(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1249 divide 225959364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -13\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 606404 (base 7) in base 11?\nAnswer: 70508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Suppose f*w - 7 = 1. Find the first derivative of 1 + j - 2*j - w*j wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 1. Let j(g) = 7*g**2 + 6. Suppose 6 = -46*p + 40*p. Let z(x) = p*j(x) + 2*v(x). Let w(u) = u**2. What is z(w(h))?\nAnswer: -5*h**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/30*120\/16. Let q be f\/(3\/(-1))*1. Let b(w) = w - 11*w + 8*w**3 - 5 + 4*w**2 + w. Let y(o) = -2*o**3 - o**2 + 2*o + 1. Determine q*b(r) + 9*y(r).\nAnswer: -2*r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = 60 - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:29 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(-2 - s + 2) + 0*s - 9*s + 5*s)*(1 - 3 + 3).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1998\/72 - (-3)\/(-4))*18. Let q = 592 - w. Suppose -2*i = 2*i - 216. Calculate the remainder when q is divided by i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t - y + 2*y, -24 = -4*t + 4*y. Suppose w = t*w + 4*b - 44, -2*w + 5*b + 35 = 0. What is the smallest common multiple of w and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 18*d + 6. Suppose 0 = -4*r + 2*l + 20, 0 = -16*l + 19*l - 6. Let n be j(r). Solve 0 = m - n + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jej when three letters picked without replacement from {e: 2, j: 2, b: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 16*b**2 + 951*b - 1473. Calculate i(-61).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306534 (base 8) to base 12.\nAnswer: -4aa50","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 27*j - 118. Let w(l) = l**2 + l - 2. Let y(z) = -r(z) - 2*w(z). Suppose -2*h - 29 = -3*h. Calculate the remainder when h is divided by y(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from gfummfhmffzumffu.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Let a(v) = 5*v - 26. Let r be a(5). Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*o**3 + 25*o**3 - 5*o**3 + 2 - 2*o**3 - 2 + (2*o**2 + o**2 + 0*o**2)*(2*o + 0*o - 3*o).\nAnswer: 58*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + 2. Let a = 67 - t. Suppose -2*m + 24 = -a. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 13*r - 41. Calculate x(-15).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.3. Let f = 140.29 + -139.29. Which is the second smallest value? (a) 0.2 (b) -4 (c) t (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17920 and 21504.\nAnswer: 107520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 1626.\nAnswer: -13\/1626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/24 - 24\/8. What is the second biggest value in 4\/7, 1\/337, v?\nAnswer: 1\/337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 - 1.1. Let d = 27.3 - 30. Let m = d + z. Which is the second smallest value? (a) 0.4 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-4 - -8) + ((-7224)\/(-80))\/(-21)). Sort 100, a, 4.\nAnswer: a, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183501\/70 + -13112\/5. Find the common denominator of 67\/35 and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -549*w**3 - 5527*w**2 + 10*w - 5. Let l(z) = 274*z**3 + 2765*z**2 - 6*z + 3. Let a(t) = -3*f(t) - 5*l(t). What is the third derivative of a(s) wrt s?\nAnswer: 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4426651 is divided by 553331.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -2*b + 5*r, 3*b + 3*r + 3 + 12 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -274\/7?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 482 + -505 + 38 + 0. Sort -6, 7, t, 4 in increasing order.\nAnswer: -6, 4, 7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313154771 to the nearest integer?\nAnswer: 17696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78772 is divided by 39182.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) + 2\/(-9). Suppose m = -a - 4*a + 10. Suppose 2*u = -3*u - 4*o + 40, -2*u + 2*o = a. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 2 - (-867)\/234. Let r = o - 1\/26. What is the smallest value in 0.1, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2475)\/(-440)*(-1)\/((-315)\/(-6)*4\/40)?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 51.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26\/3 - (-2926)\/(-627)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3605*c**3*f**2 + c**2*f*z**2 - 2*c*f*z**2 + 17*c*f*z - 2*f**2*z**2 - 7*f*z wrt c.\nAnswer: 21630*c*f**2 + 2*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.87 + -0.13. Sort -0.06, 0.5, l, 3.\nAnswer: l, -0.06, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -29\/3. Which is the closest to -1\/3? (a) o (b) -0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(1530\/58650).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.5 + -0.5. Let o = 18 - b. Sort 2, -7, o in descending order.\nAnswer: 2, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1040 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43519189\/20 bigger than 2175959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80175 and 287561.\nAnswer: 21567075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12 = -3*d, 0*d + 19 = d - 4*h. Let w(u) = u**2 - 2*u + 1. Let m be w(3). Let k = d + m. Solve 3*b - k*i = -3, 2*i = -2*b - 4 + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 885 = o - 6*o, 0 = -3*o + 6. Let m be 1\/(-1 - (-170)\/r). Let h = m + 61. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -17?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*c + 44 = -21, c + 5 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1331 = 728. Suppose -3*j - g = 5*x, 0*j - 3 = j. Is ((-20)\/(-8))\/((-5)\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02103636286 rounded to seven decimal places?\nAnswer: 0.0210364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 4*j**2 - 42*j + 117. Let f be p(3). Solve f*q = -16*q - 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = -7*j + 475025. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**4 + 230326*k**3 + 2210400234*k**2 + 7070701938930*k - 1767813638346.\nAnswer: 2*(k + 9597)**3*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 77. Let s be (-2)\/6 + g\/(-12). Suppose 0 = 2*a - 3*d - 10, d - 7 = -s*a + 30. Which is smaller: 14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m - 8*m**2 + 28*m.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004481654 to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87265.4 and 0.02.\nAnswer: -1745.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-63))\/((-25)\/30)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -544, -368, -44, 458, 1168, 2116, 3332, 4846?\nAnswer: 6688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 29*q + 17*q + 2*q**2 + 0*q**2 - 15*q to the form m*q + w + t*q**3 + k*q**2 and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*f + 6116 - 6336 - 10460 - 5601 = 0 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -793, -951, -1389, -2251, -3681, -5823, -8821?\n\"Answer: -24*q**3 + 4*q**2 - 2*q - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*f**2 - 4326*f**2 - 3231*f**2 - 62485*f**2.\nAnswer: -70889*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 237*z**2 - 11*z - 63. What are the prime factors of a(-6)?\nAnswer: 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1880*x + 942*x + 937*x + 32*x**2.\nAnswer: 32*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*a**4 + 155572*a**3 + a - 22777033?\nAnswer: -64*a**3 + 466716*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5643)\/378 + 5 + 10)*8\/(-6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 3)*(1 - 2 + 0) - 32 + 8 - 15)*(-3*l**4 - 39 + 39) as f*l**2 + m + j*l**4 + q*l + g*l**3 and give j.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12580541?\nAnswer: 293, 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -46, -4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 <= 1375\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 3*r**2 - 2*r. Suppose 5*i - 2*a - 2*a - 18 = 0, -2*i + 3*a + 10 = 0. Give s(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 50*n**2 + 13*n - 1. Determine z(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28866589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 66*g**2 - 7*g - 472. Determine q(-66).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1763701 + 82143 = -86*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -59 - 54) + -6 + 64 + 2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33530221*l**3 + 11*l**2 - 7*l - 133214 wrt l.\nAnswer: 201181326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53016*c*p**2*t - 43168*p**2 + p*t - 2*p with respect to c.\nAnswer: 53016*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 48. Let z(r) = r. Determine d(z(c)).\nAnswer: c + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*sqrt(1377)*-1*-1 + 2 + sqrt(1377)*2 + -2)**2*-3.\nAnswer: -4133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4231570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11625.29946773 - -11625.3. Round c to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086306?\nAnswer: 2, 131, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)\/b)**(26\/5))**(-16)*(b*b**(1\/6)*b*b**(-5))\/(b**(2\/3))**(-2\/61) assuming b is positive.\nAnswer: b**(12345\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 + 1 + -5. Let i(b) = -55*b + 1 + 123*b - 68*b + 2*b**2. Give i(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61539 + 61539.723416. Let r = 0.722 - k. What is r rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l**2 - 3033*l - 759.\nAnswer: 3*(l - 253)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -63 - 9. What is the remainder when 94 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 - -12.14. Let d = l + -12. Do d and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 1703853.\nAnswer: 1703855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2*sqrt(18))\/sqrt(6))**2*4 - (-2 + 1*sqrt(300))**2).\nAnswer: -512 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1505*z**5 + 5*z - 93.\nAnswer: 30100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1007219 or 1007220?\nAnswer: 1007219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -84. Let u = -18 - j. Suppose 8*x - 10 = u*x. Solve -20 = p - x*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 118.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -10 - 4 - (13 + -21 + 12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 266888 + 266344 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12613, -25353, -38093, -50833?\nAnswer: -63573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 5. Let v = 529\/5004 + 3\/556. Let w = 2 + 2. What is the third smallest value in w, c, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/((-4227)\/(-154990)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -305 + a96?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 0*j**2)*(283 + 28*j - 283)*(-3 - 4*j + 3).\nAnswer: 112*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767601566 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 184108909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*n**2 - 85*n**2 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p. Let k be v(0). Suppose j = -2*h - 3, 2 = -2*j + 4*h + 36. Solve k*s - 3*s - f = -j, s = 5*f + 29 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 15*f**4 + 139*f**3 - 2*f**2 + 2 - 139*f**3 - f to the form h*f**3 + o*f + j*f**2 + n*f**4 + r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 12*d + 3 + 18 - 17*d. Let p be f(-6). Solve 7*h - p = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-15))\/(2793\/12103 + 71\/(-195)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26609212?\nAnswer: 2, 7, 950329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 3*z + 8*k + 26, -3*z + 2*k = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39113, -38810, -38515, -38234, -37973, -37738?\n\"Answer: -k**3 + 2*k**2 + 304*k - 39418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 14. List the prime factors of i(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 216576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16*0.278\nAnswer: 4.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**6 - b**4 - b**2 - 1. Let a(p) = -6*p**6 - 6*p**4 - 22*p**2 - 6. Let s(g) = -2*a(g) + 12*l(g). What is the third derivative of s(x) wrt x?\nAnswer: 2880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 5*f**2 + 6*f + 8. Calculate the least common multiple of m(-6) and (-1*3\/6 - -4)*(-85 + 93).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 6*f - 4*f)*(17 + 6 + 17) + 3 - 3 - 6*f in the form g + t*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 262 and 0.097570124.\nAnswer: 262.097570124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 2237163.\nAnswer: -13422978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*o**2 - 4*a**2 - 30387*a*o - 10886*o**2 + 33365 wrt a.\nAnswer: -6*a*o**2 - 8*a - 30387*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2891, 2504, 1867, 980, -157?\n\"Answer: -125*b**2 - 12*b + 3028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8108827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 3. Let v be l(7). Factor -6*f**2 - 8*f - v*f**2 - f**3 - 4 + 5*f**2.\nAnswer: -(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-8 + 7) + 38\/8. Which is the second smallest value? (a) -0.4 (b) 9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399111052 to the power of 1\/3, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23875*q**5 + 45053*q.\nAnswer: -477500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 11*r**2 - 82*r - 455. Calculate the remainder when z(-13) is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3457*r + 8149 + 2222 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -0.163703.\nAnswer: -5.893308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 3*z**2 + 79*z\/4 + 51\/2.\nAnswer: -(z - 17)*(z + 2)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 7*g - 10. Let z be h(-9). Put z, -0.2, 4 in descending order.\nAnswer: z, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 - 2*t. Let i(c) = -12*c**3 - 4*c**2 - 9*c + 2. What is -i(u) + 4*j(u)?\nAnswer: 8*u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + l + l**3 + 4*l**2 - 7*l**2 in the form w*l**3 + q*l + p*l**2 + d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -429 (base 11) to base 5.\nAnswer: -4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1392 = y, -f + 475 = -y + 5*y. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - b**2 + 9*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, b: 3, v: 2}. Give prob of sequence bbll.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290233410.\nAnswer: 2, 3, 5, 9674447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**3 + 2*v**2 - v + 3. Let b be w(2). Let f = b - -55. Let o be ((-147)\/28)\/((-6)\/f). Do o and 14 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 1553*s**3 - 6 + 1504*s**3 - 4527*s**3 + 1567*s**3.\nAnswer: 97*s**3 - 3*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let c be w(0). Suppose c = 3*a - 2*a - 2*r - 5, 5*a - 4*r - 1 = 0. What is the remainder when 52 is divided by (-1)\/a + (-106)\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 4. Let c be t(-8). Calculate the remainder when 43 is divided by (9\/(-4))\/(c\/80).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 301, 1\/4, -0.1, 0.2, -1\/3 in decreasing order.\nAnswer: 301, 1\/4, 0.2, 0, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*m - 30 = 0, -18*m - 3 = -z - 15*m. Calculate the remainder when 105 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*x + 23, 0 = -6*x + x + 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-1)*q*q)))\/q*q)**(17\/3) assuming q is positive.\nAnswer: q**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*4*(-6)\/(-48). Solve -4*s + 2*u - 17 = s, b*u + 7 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 202?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmh when three letters picked without replacement from {b: 1, h: 1, d: 1, m: 2, u: 2, c: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**4 + 6*s**4 + 124592*s**2 + 49*s - 124566*s**2 - 273*s**3 wrt s.\nAnswer: 144*s - 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/3433 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 1166 + 850. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 24. Let t(p) = 7*p + 64. What is the tens digit of t(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e15 (base 16) in base 9?\nAnswer: -4845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 350)*-1*8\/(-6). Suppose 11*v - w = 7*v. Round v to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 8. Let q be i(-9). Suppose c - 4*s - q = -8, c + 4*s = 25. Factor -4*b**2 - 4*b**3 - b + 9 - c.\nAnswer: -b*(2*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 123?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-24)*l)\/(l**38*l) assuming l is positive.\nAnswer: l**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 320a74 - 3?\nAnswer: 320a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*h - 58*h - 2156. Let f = 1705 + h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 39*l + 38. Let g be s(1). Let x = -2 + -1. Let u = 5 + x. Sort u, g, 3 in ascending order.\nAnswer: g, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5135336 is divided by 5135226?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4657*q**2 + 18641*q + 63. Calculate z(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3094840?\nAnswer: 2, 5, 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63094078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k - 21 = 50*k. Let r = 46 + -42. Solve -r*n = -k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7121861.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0 - 2)*-9. Let d = v + -4. Solve 2*l + 4 = i + d*l, i - 3*l = -14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2959 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 times -1243055?\nAnswer: 4474998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/68*-2*((-168)\/(-105))\/(160\/(-200)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 5) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54521 and 124.\nAnswer: -6760604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:58 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.67495908 - -5\nAnswer: 3.32504092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*a**3 + 204*a**2 + 4*a - 210*a**2 - 16*a + 7*a + 7*a to the form t*a + x*a**3 + v + r*a**2 and give x.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -4.37.\nAnswer: -21.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4 - 140*g**3 - 1440*g**2 - 6400*g - 10240 = 0. What is g?\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (8 - (3 - 5 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4937, -1, -19857 in decreasing order.\nAnswer: -1, -4937, -19857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82820914, -165641821, -248462728, -331283635, -414104542?\n\"Answer: -82820907*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 - v**3 - 3*v**3 - 3*v**3 + 20*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112632 + 0*i**2 + 112633 - 53*i**2 - i**2 + 2*i**2 + 0*i**2 + (i - 3*i + 0*i)*(i - 5*i + 2*i).\nAnswer: -48*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*a - 180*a + 24*a = -2288 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 224822, 5.\nAnswer: -4, -3, 5, 224822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -2*x. What is the closest to 14 in -4, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175.13 + -176. Let u = r - -1.87. Let j = u + 4. Put -0.4, 3, j, 0.3 in descending order.\nAnswer: j, 3, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -332 in 4, -1, 0.2, -3, 253?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -81, -177, -319, -513, -765, -1081?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421497 is divided by 161.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 16 = -15*w. Suppose 0 = r - 3*q - 10, -10 = -3*r + 5*q + 12. Is w at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6\/18)\/((-4)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 468*z**5 - 4864*z**4 + 52132*z**3\/3 - 24784*z**2 + 33488*z\/3 + 640 = 0. What is z?\nAnswer: -2\/39, 1, 2, 3, 40\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202100111210 + 12?\nAnswer: -1202100111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.8 + 7.8. Which is the smallest value? (a) g (b) 75 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 2\/5, 1796, -17663?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 13 = -3*a - 22*j, 0 = 4*a + 4*j + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16391.89 + 16392. Which is the closest to 0.2? (a) 1\/2 (b) p (c) 2\/19 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3\/8 - 113519*x**2\/8 + 90811*x\/8 + 22703\/8 = 0. What is x?\nAnswer: -1\/5, 1, 22703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76410 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 279 - 411. Let h = 311 + -201. Calculate the highest common divisor of x and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111001111111 (base 2) to base 15.\nAnswer: 5e4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*l + 0*l + 2 = 0, 0 = -4*i - 3*l + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1544, -11848, -39806, -94244, -183988, -317864?\n\"Answer: -1471*x**3 - x**2 - 4*x - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1212015.71 to the nearest ten thousand.\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-8)*(-48)\/36?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*g - 68*g - 14*g**2)*(3 + 0 - 2).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/1741?\nAnswer: -6\/1741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/7 (b) 0.09 (c) 2.4 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354179 is divided by 1655.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10877300 divided by 28700.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r, 0*r - r + 12 = -3*l + 2*r. Let z = -0.3 - -0.5. Put z, 9, l in decreasing order.\nAnswer: 9, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:08 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3628, 3627, 3626, 3625, 3624?\nAnswer: 3623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*t, t - 2*r + 3*r - 3 = 0. Suppose 3*s + 195 = t*y, -4*y + s + 117 = -y. Let z = y - 27. Round z to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -4*n + 0 + 1\/12*n**4 - 5*n**2 + 0*n**3. Is 10 a factor of k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276452 or -9675786\/35?\nAnswer: -276452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 7, g: 2, h: 1, p: 10}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(7\/4 - 1). Let w(n) = -3*n + 69. Let o be w(20). Let g be 3\/(o\/2 - (-10 + 13)). Solve g*s = p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2. Let t = 67 + -69. Let x(m) = 16*m**2. Let l(p) = t*x(p) + 11*b(p). Let g(i) = -2 + 2 - i. Calculate g(l(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a1257 (base 12) to base 9.\nAnswer: -1286864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 510 and 20400?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122275318.9999993 + -122275331. Let s = -8.8 + 20.8. Let k = j + s. Round k to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -486*q**4 - 5*q**3 - 12586*q**2 wrt q.\nAnswer: -11664*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z - 15. Let w be 24\/z - (-4)\/(-6). Solve 0 = 5*a - w*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -986 - -990. Let f = 31 - 13. Calculate the remainder when f is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y = 9. Suppose -6 = -a - u, 2*u + 22 = 5*a + y*u. Find the first derivative of 7 - 17 + a*h + 5 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*q - 208 = -2749*q + 1368*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10717 and 10354153.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -q - 18, -22 = d + 3*q - 32. Solve -d*t - v + 11 = 2*v, 0 = -2*t + 3*v + 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l + 6. Let d be w(-6). Let m = d - -46. Suppose 2*y + x - 15 = 0, 0*x = -3*y - 2*x + 20. What is the remainder when m is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let f = -0.179 + 0.279. Sort 0, f, p in descending order.\nAnswer: f, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 353503145 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(-2 + 1 - 2) - t - 8 - 4*t + 6 - t + 3*t - 4*t + 0*t + t - 2*t + (0 + 2*t + 0)*(-3 + 2 + 0).\nAnswer: -16*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*k - 5\/3*k**2 + 20\/3 - 1\/3*k**3 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8498*x**3 + x**2 - 11*x - 4390568 wrt x.\nAnswer: 25494*x**2 + 2*x - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*l + 4, -2*q + 2*l + 0*l = -4. Suppose q*b + 8 = 2*b. Suppose -b*s = -5 - 19. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*9\/(-72)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1830192 (base 12) to base 9\nAnswer: 10430312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by -587019?\nAnswer: -139\/195673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955 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 m(j) = -j**2 + 9*j - 8. Let h be m(6). Suppose -4*i + h + 14 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 - 6*s - 2. Let q(z) = z**3 + 9*z**2 - 13*z - 4. Let i(c) = -3*q(c) + 7*t(c). Factor i(f).\nAnswer: -(f - 2)*(f - 1)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, s: 7, l: 3, d: 3, w: 3}. What is prob of sequence wls?\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247 - -239. Sort h, 1, -2 in descending order.\nAnswer: 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -67*i**3 + 3*i**2\/2 - 61*i - 1288. Differentiate z(a) with respect to a.\nAnswer: -402*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.11971 months in centuries?\nAnswer: 0.034266425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -32.8. Sort 0.3, 3, t, -4 in descending order.\nAnswer: 3, 0.3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**4 - 8*x**3 + 467*x**2 - 74022*x.\nAnswer: -36*x**2 - 48*x + 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 8. Let g(x) = 3*x - 9. What is 6*g(p) + 7*m(p)?\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(36\/51))\/((495\/(-15))\/198)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2 + 26482 + (-5 - 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 13 = -p - 3*u, -2*p = u + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*j = 132*j. Suppose 17*p - 115 - 106 = j. Solve 7 = 2*o + p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7935, 31283, 70193, 124665?\nAnswer: 194699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 286*t**3 - 10080*t**2 + 10368*t.\nAnswer: -2*t*(t - 1)*(t + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*f + 96, -2*v + 857*f - 856*f + 37 = 0. Determine x so that v*x + 1\/4*x**2 + 169 = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-28) + (-1)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j**2*r**2 + 4*j**2*r + 56*j**2 - j*r**2 - 137*j*r + 12*j - 1 wrt j?\nAnswer: 20*r**2 + 8*r + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715518 and 4.\nAnswer: 1431036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 85*g**2 - 780*g - 2257. Let a(r) = 53*r**2 - 519*r - 1504. Let k(c) = -8*a(c) + 5*d(c). Factor k(b).\nAnswer: (b + 3)*(b + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 36 = 4*u, -u - 12 = -4*t + u. Suppose -19 = -t*v + 21. Find the second derivative of 4*w + v*w**5 - 2*w + 5*w**5 wrt w.\nAnswer: 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2709, -2830, -2957, -3090?\n\"Answer: -3*v**2 - 112*v - 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76014 is divided by 3641.\nAnswer: 3194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {k: 1, s: 1, i: 2, p: 2, z: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1. Let s(t) = -2*t**2 - 8. Let x(q) = 3*q + 70. Let o be x(-26). Let d(y) = o*j(y) - s(y). Let k(p) = -4*p**2. Calculate k(d(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -118, 0.4, 4, -13, -30, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 + 6*b. Let i be d(5). Suppose -i = 4*o + o. What is the units digit of 4\/6*(-189)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 905*q**3 + 23162*q**2 + 81756*q + 78120.\nAnswer: -(q - 930)*(q + 2)**2*(q + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 - p**3 - 10 + 17.\nAnswer: -p**3 - 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180387 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -900*w**3 - 8097*w**2 + 30*w + 31. Calculate b(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1717.\nAnswer: 1\/1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -816 by -2.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/412390 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 8*r**2 - 14*r + 12. Let z be j(6). Suppose z = -417*q + 406*q + 506. Solve q = 3*b + 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/3 - 2384*a**4\/3 - 2402*a**3 + 42956*a**2\/3 + 76672*a\/3 - 76480 = 0.\nAnswer: -4, 2, 3, 1195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/sqrt(10) - (0 + (sqrt(7) + 5 - sqrt(7))) - (sqrt(175) + sqrt(175)*-2*-6 - sqrt(175) - (sqrt(175) + sqrt(175) + 1 + 1)))**2.\nAnswer: 282*sqrt(7) + 15472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 16, d: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/5)\/((-1)\/(-5)). Suppose -s*i = i - 3*k - 127, 4*i - 132 = 4*k. Let g = i + -8. What is the least common multiple of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/390 and 22\/2628327?\nAnswer: 26283270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 2*v - 128 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 5*q**3\/6 - 3*q. Let t = -397 - -399. Let b(x) = 2*x + t*x + 0*x - 5*x. Determine b(n(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 18692927.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 15*t**2 - 136*t - 1685. Let q be z(-14). Solve -2*s - q = -3*b, 4*s - 23*b + 11 = -24*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3)*15132\/65. Suppose -4*n = -62 - 250. Let f = w - n. Which is the nearest to -1? (a) -1 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 5 = 18*r. Suppose 0 = -r*v - v + 368. What is the greatest common divisor of 46 and v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 1. Let p be ((-146)\/45)\/n - -1. Let w = 2\/9 + p. Which is the third biggest value? (a) 0.2 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3054, 4018, 4984, 5952?\nAnswer: 6922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Let g(m) = -17*m + 16*m + 2*m**n - 3*m**2. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {c: 2, d: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-9))\/((-9)\/(-27)). Let t(v) = 22*v - 80. Let f be t(u). Calculate the highest common factor of 34 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 564349084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/4 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {q: 2, s: 8, a: 2, g: 6}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 2. Find c, given that 0*c**5 - 4*c**v - 4*c**3 - 11*c**4 - c**4 - 4*c**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + 1 + 1 + 7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/4 - 5*w**3\/4 - 27*w**2\/2 - 31*w - 22 = 0. Calculate w.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-96)\/(-18) - 26\/(-6). Suppose -d*p + 5*u = -16 - 148, 4*p - 140 = -u. Differentiate -v + p + 5*v**2 - 3 - 7*v**2 wrt v.\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j - 180. Calculate the remainder when t(28) is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 6*h + 15 - 27 + h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 41. Suppose 0 = -s - l*s + 28. Suppose s*j = 6 + 15. Solve j*r = 4*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -782.4 + 782. Let i be (5 + -3)\/(-1 - 7). Which is the closest to i? (a) -0.3 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)*o)\/o)\/(o\/o**(1\/5))*o**(-6)*o*o*o\/o**(-3)*o*o assuming o is positive.\nAnswer: o**(44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 117 = 10*u + 82, 2*r = 2*u - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:42 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:05 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092*v**2 + 1085*v**2 - 2186*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 4*o - y, 2643*y - 63 = 5*o + 1319*y + 1322*y for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(-35 + 33 + 19)*(0 + 0 + o**3 + (-o**2 + 3 - 3)*(-2*o + 0*o + o)).\nAnswer: -170*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 469430 rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 + 0*f**3 - 5*f**3)*(-41*f**2 - 2607*f + 2607*f).\nAnswer: 82*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -6 (c) 0.5 (d) -176\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 4*k + 2. Let l be z(-4). Suppose l*t + p + 5 = 0, -1 = -t + p + 4. Let m(i) = -47688*i - 8 + 47688*i - i**2. Calculate m(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**6 + 0 - 7\/15*p**5 - 11\/105*p**7 + 0*p**3 - 22*p**2 + 0*p**4 + 0*p. What is the third derivative of d(l) wrt l?\nAnswer: -528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 16}. What is prob of sequence cxx?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (1 + (4 - 0 - (23 + -25))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6090*g**2 + 3573*g**2 - 1 + 1.\nAnswer: 9663*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - 0.12. Let u(i) = -4*i + 24. Let w be u(13). Let z = w - -30. What is the biggest value in 4, q, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c035 (base 13) to base 3\nAnswer: 11020120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3117 = 2*b + 2*b, b + 4*a = -792. Let o be b\/(-11 - -7) - 9. What is the greatest common divisor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 215 = 5*s, -v - 127 = 20*s - 23*s. Solve s = 11*r - 5*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:51 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 179998, 180004, 180020, 180052, 180106, 180188?\n\"Answer: c**3 - c**2 + 2*c + 179996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-3)*(108\/126)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 23, 41, 77, 137, 227, 353?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 1 (b) -0.08 (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 10. Suppose 6 + 6 = a. Suppose q + 33 = -4*c, -2*c + q - a = 3. Let i be g(c). Is 3 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 34 = -g, 54 = -5*g + 7*g - 4*m. Suppose -30*w + g*w + 3 = 0. Solve 0 = -w*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -3, -0.3, -4, 3\/16 in descending order.\nAnswer: 3\/16, -0.3, -3, -4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37401420410 rounded to the nearest 1000000?\nAnswer: 37401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 3)*(-70*b + 20 - 20)*(b**2 + 4*b**3 - b**2).\nAnswer: 1960*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 3*a**2 - 4*a + 3. Suppose 6 = 4*c + 3*m - 1, 4*c + m = 13. Let i be h(c). Solve 0 = i*s - 8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - -1 - ((9 - -7) + -25)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86b61 (base 13) to base 6.\nAnswer: 5115452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/260 and 113\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 36488.84kg?\nAnswer: 36488840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2314302431 to the nearest integer?\nAnswer: 48107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g - 2*f = -96*g - 17, 0 = -4*g + 5*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243531?\nAnswer: 19, 65449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -0.4, -0.053, 0.1?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5004 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*6)\/(sqrt(324)*2 - sqrt(324)) + 5.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*s - 20 = 0, -w - 10 = -5*s + 5. Let n be (1 - w)\/(7\/(-7)). What is the highest common factor of 99 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -1.2. Let t = s + -0.2. Let h = t - -0.1. Put 4, -2\/13, h in increasing order.\nAnswer: -2\/13, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5*u - 1. Let o be q(4). Let r = 53 - 50. Determine s, given that -2*s**2 + s**3 - 3*s**o + s**r + 3*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*x + 188, -2*x + 3*d + 240 - 80 = 0. What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.9827ml to litres.\nAnswer: 0.1459827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:35 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2426399 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*l + 5, 6*l - l = -4*o + 4. Suppose 4*i = -3*c + 15, 3*c + 0*c - 2*i - 15 = l. Solve 0 = 5*y + 5*z + c, -3*y - 28 = -5*z + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, x: 7}. Give prob of picking 3 x.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1117\/35 + -215\/7. Find w, given that -1\/5*w - 4\/5*w**4 - x*w**3 - 1\/5*w**5 + 0 - 4\/5*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9460218115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 17 = 5*n, -5*n = 2*y - 7 - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11867\/1769 - -176\/29. Calculate the common denominator of q and -3\/2.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19111 - 19107. Let u = -1 + 0. Calculate the least common multiple of c and u + 8 + -2 + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 4 = -3*o. Suppose 5*r + 3 = 23. Sort r, o, 0 in ascending order.\nAnswer: 0, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 213329227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, 5, 15, 25, 35?\n\"Answer: 10*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*u - 5 = 4*r, 5*r + u - 13 = 0. Let w = -0.4 - -0.3. Let v = 0.6 + w. Which is the closest to 0? (a) 1\/3 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -18\/11*n**2 + 2\/11*n**4 + 10\/11*n + 6\/11*n**3 + 0 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + (-26)\/(-10). Suppose 0 - 10 = 2*z - 4*q, 0 = -5*z - q - 3. Put z, 4, o in descending order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21653500 to the nearest 100000.\nAnswer: 21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -303*m - 42. Let u be t(-4). Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/(-15))\/(0 + (-6)\/(-9)). Differentiate -i + 2 - 10*i + t*i with respect to i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*d + 104*d + 224 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 6. Let i(k) = -2*k + 2. Let t(x) = 3*g(x) + 8*i(x). Let p be t(-10). Suppose 0 = -3*r - r + p. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-19))\/r)\/r**19)\/(r\/r**(1\/9))**17 assuming r is positive.\nAnswer: r**(-136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*u + 32, 2*v = 4*u - 0*u + 56. Let w be (12\/v)\/(14\/(-20)). What is the smallest value in w, 1\/5, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.6 + -2.6. What is the second smallest value in 1\/2, u, 1\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39000 - -39108. Solve h - 144 = -4*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 8 - 17, -z = -2*w + 11203. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37523 divided by 455.\nAnswer: -37523\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -0.3, -92530?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*j + 8, 2*j - 91 = -2*u - 95 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 - 17 - 1410*s + 17 + 2401*s - 991*s.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -29*z + 88. Suppose -39*o - 163 = 344. What is the tens digit of t(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/208674 and 67\/354.\nAnswer: 12311766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 665*m**2 - 37 + 76 - 666*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 4*o - 4. Let b(p) = 7*p**2 - 8*p - 38. Let f(c) = -9*c**2 + 11*c + 31. Let d(n) = -2*b(n) - 3*f(n). What is 2*d(r) - 9*k(r)?\nAnswer: -r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8661 - 5169. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 - 3.6. Suppose 2 = -2*k, -3*x - 2*k + 2 = -k. Suppose 2*p + 19 = -x. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 51, 66, 69, 54, 15, -54?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 6*r - 2. Let h be c(-4). Let o(x) = -x**3 - 54*x**2 + 37*x - 981. Let n be o(-55). Solve -j - h = l - 3*j, 2*l + n = j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*v - 2999 = -0*l, 4*v = 5*l - 5035. List the prime factors of l.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(9\/(-4) + 2). Suppose 2*r = -3*y + 4*r + 25, 0 = -4*y - 2*r + p. Let k(n) = -n**2 + 13*n - 3. Calculate the remainder when k(11) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255397510 to the power of 1\/3, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4612463, 10 in decreasing order.\nAnswer: 4612463, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 63, 68, 75?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.10540318 less than 20000?\nAnswer: 20064.10540318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8326 by -181.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/120800 and -3\/160?\nAnswer: 120800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h*t**3 + 6*h*t**2 - 18*h*t + 1376*h - 6510*t**3 + t**2 + 3*t + 2 wrt t?\nAnswer: -48*h*t + 12*h - 39060*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 2)*(-420*g - 633*g - 708*g)*(1 - 1 - 1) as w + r*g and give r.\nAnswer: 5283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2000168, -2000185, -2000202, -2000219, -2000236, -2000253?\n\"Answer: -17*x - 2000151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*i + 5*v, 22*i = 18*i + v - 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 11*h + 23. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -67. What is the derivative of -5 + 13 + 1 + 21*y - o wrt y?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269141577.\nAnswer: 11, 115376507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q - 33933*q**3 - 46*q.\nAnswer: -33933*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 32 = k. What is the lowest common multiple of k and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 25. Let z be -2 + -1 + (o - (-4)\/2). Suppose 0 = 2*d + 4*f - 46, 0*d - 87 = -5*d + z*f. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -886516\/470085 + 2\/13431. What is the common denominator of y and 3\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 14. Let l be a(-13). Suppose -6 - l = -3*b. Suppose p = b*p - 90. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-2 + 2 + sqrt(11) - (-2*sqrt(11) + 5)) + -2 + sqrt(539) + sqrt(275)*1))**2.\nAnswer: -3360*sqrt(11) + 40384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 104.032544+-0.3\nAnswer: 103.732544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -44, -0.4, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 51 - 36 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 5 - -2) + -13 + (3 - -7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 6*t + 442*t**2 + 34 - 143*t**2 - 149*t**2 - 148*t**2 to f*t**2 + v*t + i and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1755412 + 0.40391.\nAnswer: -1755411.59609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10222023 + 0?\nAnswer: -10222023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -435, -883, -1335, -1791, -2251?\n\"Answer: -2*t**2 - 442*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 6. Let m = 14 - 12. Solve 0 = h*f - m*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(sqrt(4400) + sqrt(4400) + sqrt(4400)*2 + sqrt(2156) + (2*sqrt(2156) - sqrt(2156)))\/((2*sqrt(40)*-2)\/sqrt(10))*-4.\nAnswer: 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -538.995 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*i - 31 = -0*i, -3*s - 23 = 2*i. Let g = 1.2 + -1.13. Let n = -0.07 + g. Which is the smallest value? (a) s (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, -12, -50, -90, -132, -176, -222?\n\"Answer: -w**2 - 33*w + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -6445\/7, 0.04 in ascending order.\nAnswer: -6445\/7, 0.04, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2)*r**(4\/5))\/(r\/(r**(1\/2)\/r)*r\/(r\/(r*r\/((r**0*r)\/r)))))\/((r*r**(-1\/3)*r*r)\/r**(1\/4)*r**4*r**(1\/4)) assuming r is positive.\nAnswer: r**(-311\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 8 + 16*k**2 - 19*k - 15*k**2 + 5*k in the form g + z*k**2 + w*k and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 - 4*t + 4. Let k be i(8). Solve -h - 13 = 4*q, -k*q + 2 - 13 = -h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 1, 2\/335 in descending order.\nAnswer: 1, 2\/335, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9149 divided by 588\nAnswer: -1307\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22214, 50219, 78224, 106229, 134234?\nAnswer: 162239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*q + 68*q. Let o be ((-21)\/(-14))\/((-4)\/(-216 + q)). What is the highest common divisor of o and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5654, 11976, 18968, 26630, 34962?\nAnswer: 43964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*b**2 - 107*b**2 + 31*b**2.\nAnswer: 130*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 2 t when four letters picked without replacement from stntsxtxtnnxtetstsn.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6730)\/(-24) - 0)\/((-142)\/(-284)). Is 560 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3221 (base 8) to base 15\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6744 + 17299 = 4090. List the prime factors of j.\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*n + 576*n + 36145 = -468*n - 38961 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - 11*w + 7. Let x be g(3). What is the highest common factor of x and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1241, 4915, 11021, 19571, 30577?\n\"Answer: 2*k**3 + 1204*k**2 + 48*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -12*w + 16*w. Let n = w + 39. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1357)\/(-295))\/((-4)\/(-2)*(-29)\/290).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 7*u + 2*u)*(0*u**3 + 0*u**3 + u**3) - 2*u**4 + 5*u**4 - u**4 to o*u**2 + t*u**4 + k + z*u**3 + x*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -17718\/20735 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6063, -8648, -12957, -18990, -26747, -36228?\n\"Answer: -862*w**2 + w - 5202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = l - 3*r, 4*l + 5*r = -5. Suppose t - 4*t = 2*n + 17, n - t + 11 = l. Let w be (2*13)\/((-5)\/n). Calculate the greatest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*c**3 + 6 - 533*c**3 - 96*c**3 - 6 + 1147*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1381715 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 + 7*v + 2. Let r be g(7). Let f be (2\/3)\/((-2)\/(-12)). Let s(a) = f + 1 - 11*a**r + a - 4. Determine s(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:04 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7*(49\/(-2))\/(-7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -3*m + 4*d + 89, -21 = -4*m - d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 15*m - 14*m + 60919, 3*f - 5*m = 45702. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110380 - -110391. Suppose -2*d = -0*d - 126. Suppose 2*h = d + 7. What is the remainder when h is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 475, 721, 981, 1261, 1567?\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -3*w**5\/20 - 17*w**4\/12 + w**3\/2 + 3148*w**2 - 231*w - 5. Differentiate o(d) wrt d.\nAnswer: -9*d**2 - 34*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5*-12)\/(-3) - -2. Suppose 5*b + z = 102. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**2 + 1\/100*c**5 + 0*c - 1\/5*c**3 + 1\/350*c**7 + 3\/40*c**4 - 3\/200*c**6 + 0. Factor m(x).\nAnswer: 3*(x - 2)*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Suppose -i*b - 2*q = -6963238 - 4236762, -4*q = 0. What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + (-11 - -3) + (3 - 15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025613?\nAnswer: 3, 113957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5159, 5166, 5173?\nAnswer: 5180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - -63) + (1960 - 1986).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 58 = -5*m + 23, b - 4*m = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28735036 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19 - -33)*12\/14. Is (-8)\/b - 7498\/12*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 d when four letters picked without replacement from addadadaaaddaaaddad.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1\/9, -2\/345, 2, -3\/7 in decreasing order.\nAnswer: 2, -2\/345, -1\/9, -2\/13, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*c - 8799 = 25*c + 1713 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-3)\/(-9) + 0). Let u be (-6)\/(-9) + 5\/w. Let z(b) = b**2 - 1. Let n(c) = -2*c**3 + 4*c**2 - 4. Determine u*n(d) + 4*z(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5)*d*d)**(2\/7) assuming d is positive.\nAnswer: d**(34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-26)\/(-10) - 3). Suppose n = 1, -2*n = j*o + 3*n - 75. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 19*w**2 + 5*w + 21. Let i be 100\/25 + -46*(-4)\/(-8). Give k(i).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*t - 74, -9 + 27 = t - i. Let l = 2 - 0. Suppose 13 = 3*j - 2*p, 4*j - l*p - t = -p. Solve 0*f = f - j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/6*(-12)\/30*(-10)\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 23*l**3 + 26 - 56.\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.418881 rounded to two decimal places?\nAnswer: -41.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**11*q)\/q)\/q)\/q**(-30))\/(q**(-8))**(-38) assuming q is positive.\nAnswer: q**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 20 - (-324 - -282) - 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 27*b - 5. Give x(12).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -14 + (22 - 24) - 126) + 2 + 3\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*g + 7 + 22 = 0, -4*g - 99 = 7*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 + 1.8. Let m = 0.6 + p. Which is the second smallest value? (a) 1\/4 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*i, 0 = 2*n + 5*i - 23. Solve -n = w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23 - ((-2)\/(-1) + -2). Let u = -14 + m. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/2, -0.3, 1\/4, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)\/j)**(-41)*j\/(j\/j**(-2\/9))*j**(8\/5) assuming j is positive.\nAnswer: j**(-1783\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2024 divided by 3?\nAnswer: -2024\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17370 + 5?\nAnswer: 17375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58452732 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:49 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1931677 + 1928447.092. Let s = 3229.88200058 + b. Let m = s + 0.026. What is m rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299\/46*(-464)\/(-174)*-3*(-3)\/(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 15, r: 3}. Give prob of picking 1 r and 2 u.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (9 + -7 + -2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2629, 2707, 2789, 2875?\nAnswer: 2965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 20*i**2 + 21*i + 2. Let s be k(21). Suppose -s*w - 2 = 3*j, -j + w - 4 = 5*w. Let a be 0 - (0 + 2 - 4). Solve j = n + a*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/30 - y**3\/2 + 15*y. What is the second derivative of s(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 293*o**2 - 142*o**2 + 3*o.\nAnswer: -435*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 + 6*b**2 - b**2)*(6884*b - 1431023 + 1431023) to the form l*b**3 + a + c*b + h*b**2 and give l.\nAnswer: 27536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 6253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21902 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express u + u + u + (1 - 2 + 4)*(45*u - 23*u + 15*u) as t*u + v and give t.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5 - 56*w**4\/3 + 578*w**3\/9 - 892*w**2\/9 + 200*w\/3 - 16 = 0?\nAnswer: 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 7*p - 4. Let d be c(-6). Find the second derivative of 2*r**2 + 3*r**2 + 2*r + 3*r**d - r**2 wrt r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 11*d**5\/5 + 6*d + 7. Find the first derivative of y(t) wrt t.\nAnswer: 44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.008 + 0.156. Let l = u + -0.17812. Let c = l - -0.016. Round c to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2*(-9)\/6. Let p(m) = m**3 - 3*m**2 + 2*m + 4. What is the remainder when (-140)\/8*(8 + 1 + -9 + -2) is divided by p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139050 divided by -15?\nAnswer: -9270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d - 2 = 0, -4*f + 5*d - 450 = 0. Let t = f - -123. Solve 0 = -5*p + 3*p + t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216459 is divided by 18018?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83907861, 83907865, 83907869, 83907873, 83907877, 83907881?\nAnswer: 83907885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 134\/(-10) - (-8)\/20. Suppose -a + 3 = z + 1, 3*a = 9. What is the units digit of (2 + -1)\/(z\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*d + 80, 5*d - 64 + 20 = -2*p. Suppose 5*t + 0*t + 21 = -2*q, -5*t + q = p. Let l(y) = -2*y**3 + 2*y**2 - y - 16. Does 3 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*-1)\/((-708)\/(-1652))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c = 17*c - 5*c + 22128920. What is c rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98167198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 179246.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*m - 91, -4*m - p + 42 = -137. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q**3 - 16*q + 14*q - 4*q**3 - 63*q**4 - 6*q**2 - 3 - 10*q**3 in the form o*q**3 + s*q**4 + x*q**2 + l*q + y and give s.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2185946 is divided by 728612?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090759 is divided by 544625?\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 254*b - 268*b. Let r(x) = -2*x - 1. Determine r(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Let c be (-1)\/2*(-2 - 0). Let z be n(c). Suppose 0*d + 32 = z*d. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*x - 2, -4*x + h = -h - 16. Suppose 24 = 2*z + x*z. Suppose z = -2*n + 5*n. Solve -n*i - c - 7 = -0*i, -5*c = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**3 - 14*c**3 + 42*c**3 - 5*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-3)\/10596*-10597. Let i = o + -40603\/52980. What is the common denominator of i and 64\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -493 (base 11) to base 12.\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18510 + -721892\/39. Is x at most 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, d: 2, m: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = u - 8, -4*u + p + 57 = 0. Is 13 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.7 (b) 1\/3 (c) -4\/5 (d) -2\/7 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 386025 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1524788 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 - 107*r - 39. Calculate b(27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/752 and -67\/16720.\nAnswer: 785840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + sqrt(1700)*2 + 2 + (-1*sqrt(1700) + sqrt(1700))*1 - ((-3*sqrt(272))**2 + (sqrt(204)*-3)\/sqrt(12)).\nAnswer: -2446 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126929, -253891, -380853, -507815, -634777?\nAnswer: -761739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-8) + -22 + (-2743)\/(-104)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 53 + 9 = 0. Let o = j + 22. Suppose o = 4*n - 48 - 16. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2. Let v(t) = 991*t + 73. Let w be v(14). Let r(b) = -13947 + w - 7*b. What is k(r(l))?\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/120 + 13*k**4\/48 + 37*k**2. Let h(o) = 0. What is o?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 71 - (3 - (0 - 3) - 3). Let b be 2 + (-2)\/(-1)*1. Calculate the greatest common factor of b and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -3)\/(1\/(-1)). Let i be 37 + 54\/(432\/(-200)). Solve -3*k = -3*m + 3 - i, s = 2*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(56\/(-28))*(-231)\/18?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-80)*(-5)\/6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4.5. Let n = 2.7 - j. Which is the nearest to -1? (a) n (b) -0.5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -82*g - 83 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + f + 28 = 0, 3*s - 7 = -3*f - 1. Solve 8*v + 19 = -s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.2647 + -141.\nAnswer: -158.2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 746 and 136518.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/300 + m**4\/120 + m**3\/5 - m**2 - 3*m. Factor h(x).\nAnswer: -(x - 3)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264931516*x - 2*x**3 + 264931516*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-12) + 7\/6. Let t be -3 + 11\/(-3) - (-1)\/(-3). Sort 4, u, 2, t in descending order.\nAnswer: 4, 2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let a(f) = -6*f + 18. Let l(b) = 2*b - 6. Let n(p) = 4*a(p) + 11*l(p). Give q(n(o)).\nAnswer: 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 136*k = 139*k + 12, 0 = -2*v - 3*k + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1572\/655*20\/(-8)*(-9)\/(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -279, -550, -821?\n\"Answer: -271*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2123 (b) 20 (c) 2\/41 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**6\/12 - 11*h**5\/10 + 27*h**4\/8 - 25*h**3\/6 + 2*h**2 + 21. Factor i(v).\nAnswer: v*(v - 8)*(v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -13. Let j = 0.032 + -79.032. Let u = -78 - j. Which is bigger: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/7 - 10456*w + 4835028\/7 = 0.\nAnswer: -73258, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 36. Let o be (-14)\/(-2) - (1 - -1). Suppose o*g = -f - 1, -4*f - 6 = 3*g - 2. What is the closest to g in -0.5, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*m**(3\/16)*m*m*m*m)\/m*m*m**(-13)*m**(-9)*m*(m*m**(-1\/3)*m*m*m)\/m assuming m is positive.\nAnswer: m**(-583\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781*i + 790*i = 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -99. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 4*m - 5. Let g be u(2). Suppose -g*l = -7*l + 8. Let k be (-1)\/(l - (2 - 76\/20)). Solve 0 = 3*w + 20 - k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) + 1)*5 + sqrt(343) + ((sqrt(343) + 0)*-2)**2)*-4 + -1)*6 + -1.\nAnswer: -33055 - 1008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547170.\nAnswer: 2, 5, 17, 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/7)\/t*(t*t**(3\/2)*t*t)\/t)\/(t**(2\/3)\/(t**(-8)\/t)) assuming t is positive.\nAnswer: t**(-277\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*l - 10, -h + 4*h - 6 = -l. Suppose 3*z - 30 + 12 = l. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 12*j - 16 = 8*j, -o + 2*j = 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -41130 (base 9) to base 5\nAnswer: -1331311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*z - 30 = -181*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -60. Let i be (-7)\/d*5*-4. Let s(f) = -18899*f - 75589. Let h be s(-4). Which is greater: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7973218 divided by 3.\nAnswer: 7973218\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/456 - (144\/152)\/9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 91181.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -5. Calculate the highest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -4.6.\nAnswer: -7.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256637?\nAnswer: 271, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**6\/120 - p**5\/60 + p**3\/6 + 5*p**2. Let y be a(-2). What are the prime factors of 17\/(-2 + y - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534.0019048 - -9.982?\nAnswer: 543.9839048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.051? (a) 4 (b) -3 (c) -707\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 973476, 1946949, 2920420, 3893889, 4867356, 5840821?\n\"Answer: -q**2 + 973476*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 48, 74, 100, 126, 152?\n\"Answer: 26*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 35*f = b - 70, 5*f = -2*b + 95. Let o = -98 + 153. Let j = o - b. Solve 2*r + 10 = -j*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 120\/(-28))*1. Is d less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 1)*(0*i**3 - i**3 + 3*i**3) - i**2 + i**2 - 2*i**3 + (0*i**2 + i**2 + i**2)*(-5*i + 4*i - 2*i) + 2*i**3 + 2*i - 2*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1460367 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -237\/2 + 126. What is the common denominator of -29\/5 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65c91 - -2a?\nAnswer: -65c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + r + 2 - r + 2*r + 0*r + (3 - 4 + 2)*(3*r - 2*r + r))*(3*r**2 - 2*r**2 + 0*r**2).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**7\/280 - w**6\/160 - 3*w**5\/80 + w**4\/32 + w**3\/4 + w**2 - 4*w. Let a(i) be the first derivative of y(i). Factor a(b).\nAnswer: 3*(b - 2)*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a litre in millilitres?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*y = 1 - 37, 0 = 5*z + 4*y - 37. Is 1\/7100 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -0.2, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(4\/25)*b)\/b)\/(b\/b**(-37)))**27 assuming b is positive.\nAnswer: b**(-24867\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3 + 0 - b - 10. Let t be o(-10). Suppose 2*c + t*c = -15500. Round c to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27160 (base 13) to base 9\nAnswer: -120711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114320406.\nAnswer: 2, 3, 59, 322939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107066660 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**3 - 2*r**2 - r + 1. What is x(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128209 (base 13) to base 12.\nAnswer: -19636a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 222 (b) -39 (c) -0.3 (d) 2 (e) -11\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*6\/(-4)*6\/9.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 9 = -3*w - 4*p, -5*p + 5 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 + 44 - 69 + 3583*j + (-5*j + j + 2*j)*(-3 + 2 - 1) + 3*j - 3*j + j.\nAnswer: 3588*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(42\/(-32)) + 2. Is 92 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**4\/4 + 2*g**3 + 3*g**2 + 5*g + 36. Calculate s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(-2*q + 4*q + 0*q) - q + 5*q - 5*q + q - q + 2*q + (0 - 23 + 3)*(-5*q + 5*q + q).\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -1.042\nAnswer: -0.04168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (31 + -89 + 16).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-88) + (-4677464023)\/(-506). Round t to the nearest one hundred thousand.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(1780\/120)\/(78\/468).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**3 + t**3 - 2*t**3)*(5 - 119 + 26) in the form g*t + n*t**3 + r + l*t**2 and give n.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 853443950 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 81*o - 1423. Determine r(-55).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 4*h. Let f = -2 + 4. Suppose 5*x - 30 = f*m, 4*x - m = 3*x + 9. Is w(x) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1.08, 2, 0.07, -1, 0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 123027240 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000228400897 to seven decimal places.\nAnswer: 0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, f: 7, u: 5}. What is prob of picking 1 u and 2 f?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2) + -4 - (13 - (118 - (-4 - -18))).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**2 - 21*l**2 + 9*l**4 + 13*l**2)*(4*l + 4*l + 7*l).\nAnswer: 135*l**5 - 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 120 = 5*y, 3*y + j - 3*j - 67 = 0. Let z be (2 - -182) + (1 - 1). Calculate the highest common factor of y and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*l**2 + 621*l**3 - 551*l**2 + 23*l**3 + 274*l**2.\nAnswer: 644*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92 or 36?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-40 - -1)) + 3. Let d be 1*2\/(-12) - 153\/54. Is d\/9 - r\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 10542336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 19*z = 2*n - 120, -3*n + 5*z + 182 = 0. Calculate the lowest common multiple of 4 and n.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*h**2\/11 - 976*h\/11 + 3721\/11.\nAnswer: (8*h - 61)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 20, 42, 82, 146?\n\"Answer: r**3 + 3*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 - 6*x**2 - 2*x + 1. Let a(l) = l**3 + l**2. What is 3*a(z) + u(z)?\nAnswer: -z**3 - 3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*m**3 + 6*m**2 + 125*m**3 - 78*m**3)*(20 - 10 - 4 - 3).\nAnswer: -87*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 208 - 203. Suppose -4*j - 3 - 3 = x*z, 3*z = 5*j + 26. Put -4, -25, z, -1 in descending order.\nAnswer: z, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1694525 decades?\nAnswer: 0.01694525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -819*v**5 + 24*v**3 + 9280*v**2?\nAnswer: -49140*v**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**7)\/c)\/(c\/(c\/(c**(2\/3)\/c)))*(c*c**0*c)\/c*c*c**(6\/7) assuming c is positive.\nAnswer: c**(214\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 + -3.3. Which is the nearest to s? (a) -0.9 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1\/2 (c) 5 (d) 30 (e) 4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 - 2. Let k be s(2). Let y be 8\/(-2 + k + 1). Solve x = -x + y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 27*j + 10. Determine n(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1866735424.24 and -0.06.\nAnswer: -1866735424.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -49847*d + 2977. Is j(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-18) + -5 - -3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r - 1. Suppose -5*b + 15 - r = 0. List the prime factors of b + (1 - 2) - -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 787*c + 180215. Calculate b(-229).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.353 + 8.047. Let r = w - 8. Which is the smallest value? (a) 3\/5 (b) r (c) 2 (d) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1207 + b**2 - 3632 + 1212 + 1213.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, -61, -246, -575, -1096, -1857, -2906, -4291?\nAnswer: -6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d - 1. Let r be o(2). Suppose -5 - r = -5*f. What is the common denominator of f\/7 - 166\/140 and 29\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 27*d**5\/20 - 2*d**3\/3 + d**2 + 806*d. Let b(j) = -2*j**2. What is w(b(l))?\nAnswer: 324*l**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12863410 divided by 2572682.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m - 0. Suppose -6*g - 10155 = -10179. Solve m*x = g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p - 2. Let u be w(-2). Find the third derivative of -7 + 3 + u - 4*j**4 - 6*j**2 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-16)\/(-10) - 972\/(-270). Let o(w) be the third derivative of 1\/15*w**5 + 0*w**q + 0*w**3 - 2*w**2 + 0 + 0*w. Let y(n) = -2*n**2. Give o(y(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let r(l) = -70*l**2. Calculate r(z(y)).\nAnswer: -70*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 2, a: 2, m: 1}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2011 (base 9) to base 15\nAnswer: -67d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**2 - 2*n**2)*(-623 + 1202 - 611 - n).\nAnswer: 6*n**3 + 192*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55372.95ml in litres?\nAnswer: 55.37295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 9123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708623 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 + -299 + (0 - (1 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2\/7 + 36471*u\/7 + 70007256\/7 = 0.\nAnswer: -9768, -2389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 0 + 3 + -1. Is j\/(-3) + 272\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 + 84)*(-4*g - g + 7*g).\nAnswer: 174*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7976 and 77766.\nAnswer: 311064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 476 and 5236.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 25, -1, 4, 11, 2, 0.3 in increasing order.\nAnswer: -1.3, -1, 0.3, 2, 4, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 + 499 + 37*k**2 - 579 - 13*k + k**3 - k**2 - 35*k = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1015056274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/18 - 114\/(-216))\/((-58)\/(-222256)) is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w = 32*w + 4*n + 70, -20 = -w + 2*n. What is the remainder when 12\/1*38\/8 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1331)*-5 + (sqrt(1331) - -2*sqrt(1331)*-4))**2.\nAnswer: 704099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 15*k**2 - 69. Determine f(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-9640)\/(-6))\/(3870\/(-1620) + (-5)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 18 + 12. Let g be (4\/18)\/(v\/(-9)). Suppose -5*q - g*u - 2675 = 0, -7*q + u = -5*q + 1061. Round q to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-13986)\/(-315)*1460\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40a0a823 + 5?\nAnswer: -40a0a819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14\/x)**22\/(x**(6\/11)\/x**4) assuming x is positive.\nAnswer: x**(3184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 29299636.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -1\/2, -3\/2, 2, -3, 1.9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5228, 5135, 4904, 4469, 3764?\n\"Answer: -11*q**3 - 3*q**2 - 7*q + 5249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31943768 and 23?\nAnswer: 734706664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 297949579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**5\/180 - z**4\/18 + 2*z**3\/9 - 9*z**2\/2 - 6. Let n(m) be the second derivative of w(m). Find h such that n(h) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2051 = 5*b + 2*f, 407 = b - 39*f + 41*f. Calculate the lowest common multiple of b and 3.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*y - 17 = 0, -2*d = -0*y + y + 1. Sort d, 4, 3 in descending order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167231832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 604*(3 + (6 - 5)). Suppose -11*m + 14395 - q = 0. Is m a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -15*q + 3*q**2 + 347 - 4*q**2 - 282. Give h(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1912 - -1912. What is the third biggest value in -3\/4, b, -179, -1\/3, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 6*i**2 - 71*i + 64. Does 67 divide m(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-3))\/((-4)\/(-54)). Let k = l + 45. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 24. Calculate the lowest common multiple of 11 and a\/(-10)*(-4)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2330*m**2 + 4*m + 3. Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.6735kg to micrograms.\nAnswer: 249673500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-726)\/((-2)\/((-13)\/(-13))) is divided by 302.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -224, -376, -570, -818, -1132, -1524?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 486 (base 11) to base 15\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272.5*-0.3.\nAnswer: 81.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 45*j - 225 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*b**2 - 36*b + 1.\nAnswer: (b - 1)*(35*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.3862 millennia in decades?\nAnswer: 50838.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 + h**4 + h**4 + 17*h**3 + 3*h + 2*h**3 + h in the form m + i*h**2 + u*h + q*h**3 + y*h**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-39534)\/(-87516) + 66\/(-143))*(2 - 10)\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100780.52 - 102673. Let w = z - -1862. Let c = 30 + w. What is c rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300416 to the power of 1\/2, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6336827.\nAnswer: 7, 79, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, -5, -2\/37.\nAnswer: -5, -0.2, -2\/37, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 26*q**3 + 7*q**2 - 11*q + 3. Determine x(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*c**2*d*k*w + 3*c**2 - c*d**2*w - 4*c*d**2 - c*d*k*w - 29*k with respect to w.\nAnswer: -28*c**2*d*k - c*d**2 - c*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -7) + 15 + -9 + 4 - 35?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b + 88. Give c(20).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 1:32 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:16 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.4. Let k = 0.5 + -0.4. Which is the closest to r? (a) k (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1735*l - 15. Let h be f(-9). What is h rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/12 + 2*f**3 - 3*f**2 + 4*f. Let w be d(11). Let p = 9 - w. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2\/(-4) + (-20)\/170.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -2*p + 125. Suppose 2*d = -2*d. Suppose 0 = -5*h - d*h + 80. What is the highest common factor of h and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = 4*t. Let u = t - -8. Suppose -5 = 7*x - 5*x - u*p, 5*p = 5*x. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and -73\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1956723, 3913443, 5870163, 7826883?\n\"Answer: 1956720*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(650) - sqrt(650)*-2)*3)\/(-3*3*sqrt(800)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**(-3))))\/a*a\/(a*a\/(a*a**(-26))))\/((a**(-11)\/a*a)\/a)**4 assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306426 is divided by 306284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3658 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17676033 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/133*244\/(-1098).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4058 and 145077558?\nAnswer: 145077558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 167. Calculate the remainder when 56 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 2*d**3 + 0*d**3 + 2*d**2 + 2 to the form b*d**2 + p*d + u*d**3 + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -5*b**4\/12 + 3*b**2\/2 - 7*b. Let c(f) be the first derivative of q(f). Let z(d) = d. Give z(c(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7131 is divided by 448?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2113 + -2111. Which is the second biggest value? (a) -0.1 (b) 0.8 (c) 0.3 (d) 0.07 (e) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000154 divided by -1000077?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and 1411941164230.\nAnswer: 1411941164241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299198 and 1019542.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 20. Let m be x(-10). Suppose o + 4*r = 0, 2*o + 0*r - 7 = -r. What is the highest common factor of o and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-11) - 588\/(-154). Suppose 10*x = 12*x - q. Differentiate -3*p - 16 + 4 - 5*p**x + 3*p wrt p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 11, -5 in descending order.\nAnswer: 11, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 19. Let a be l(9). What is the derivative of -a + 3*w**2 - 6 + 0*w**2 wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 9 - 19 = -17*i + 47*i, 0 = 3*h - 3*i + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20715341 by 109.\nAnswer: 190049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*200\/(-12)*24\/5. Suppose -2*n + 3*q = q - r, 0 = 3*q - 3. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10230 is divided by 354.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 22125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:10 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 766, 1722, 3060, 4780, 6882?\nAnswer: 9366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 6) in base 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172.1 - 165. Let r = -4.292834 + -2.807282. Let x = r + c. Round x to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -6 - -1) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -222*((-60)\/(-8))\/5. Let t = -328 - f. Which is bigger: t or 17\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-10))\/3*(-40)\/(-28)*-7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, 3, 5, 0, 1, 185.\nAnswer: -4, 0, 1, 3, 5, 11, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 - 4*p**2 + p. Let c(j) = 13*j**3 - 7*j**2 + 2*j. Let m(l) = -3*l**2 + 6*l + 5. Let g be m(-1). Determine g*c(f) + 7*n(f).\nAnswer: -3*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 2040?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9533 - 9529. Which is the third biggest value? (a) u (b) -1\/53 (c) 0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f. Let c(u) = 760239*u**2. Give c(s(b)).\nAnswer: 37251711*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let f = 58.8 + -71.8. Which is the nearest to 0? (a) f (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(80) + (-1*sqrt(200))\/sqrt(10))\/(sqrt(4) - (sqrt(12)\/sqrt(3) - sqrt(4))*-2 - (-1*sqrt(32))\/sqrt(8)).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - r + 9 + 28 = 0, -4*b - 3*r = -41. Let x be (3\/6)\/(2\/(-28)). Let z = b + x. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/79924 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.111 - -27.111. Let u = -3.9 + 4. Put u, -51, q in descending order.\nAnswer: u, q, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*c + 727370 = -460726. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*h + 15 = 0, 8*g - 6*g + 18 = 5*h. What is the common denominator of g\/(-12)*-129 + 2 + 0 and 11\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4896140905?\nAnswer: 5, 29, 61, 553549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**(1\/4)*h)\/h)\/h*h)**9)**(-21)*(h**(1\/5)\/h*(h**(-2)*h)\/h)\/(h**0)**(-16\/3) assuming h is positive.\nAnswer: h**(-4781\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-318)\/(-36))\/(67\/804)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5638, 5628, 5606, 5566, 5502?\nAnswer: 5408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -46, -136, -264, -424, -610, -816, -1036?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 8*h - 6. Let p be t(-5). Let f be (-42)\/((18\/(-16))\/p). Suppose f = 2*k + 5*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 83. Let f = -72.29 - h. What is f rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/168 and 173\/1806.\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-7*q + 2*q + 2*q) + (0 + 0 - q)*(3 - 1 + 2).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1996 - 14819 = 631*r + 13048 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1475 and 944.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 1\/50*k**5 + 9*k + 0*k**2 - 5 - 2\/15*k**3 + 1\/30*k**4. Let w(m) be the first derivative of b(m). Factor w(g).\nAnswer: 2*g*(g - 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4250)*-34)\/((-6)\/45).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*f**3\/2 - 427*f**2\/2 - 340*f + 578 = 0. What is f?\nAnswer: -34\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*z - 8. Let w = z + 0. Let m(q) = -4*q - 40. Let i be m(-14). Solve -3*l = -w*l + i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355432 (base 6) in base 13?\nAnswer: 11198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 96897558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195253*b**2 - 3 + 5 - 2.\nAnswer: -195253*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*f = -6*a, 4*f - 10 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (314\/(-12246))\/(4\/12)*6\/2\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 4*p. Let i(o) be the first derivative of -4*o**3\/3 + o**2 + 23. Let a(w) = 13*w**2 - 7*w. Let g(j) = -2*a(j) - 7*i(j). Determine m(g(y)).\nAnswer: 8*y**4 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ppppqqqp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.09 - 1.1. Let q = -4.49 + y. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z - 20*z + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + g**2 - 3. Suppose -2*w = -3*w, 2*w = -k - 2. Let v(y) = 4*y**3 - 2*y**2 + 4. What is k*v(r) - 3*l(r)?\nAnswer: r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11670931 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331042432 (base 5) to base 13.\nAnswer: 3ab657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 - -271. Calculate the highest common divisor of d and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*u + 54 + 6, -4*b + 254 = 2*u. Suppose -41 = -2*c - c + 4*j, -4*c = 4*j - b. Solve 6*o - c = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 76, 187, 362, 613?\n\"Answer: 2*i**3 + 14*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 1459*v + 3*v**3 - 31.\nAnswer: 3*v**3 + 1459*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5292571894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73978676602 + -73978677212.00000526. Let n = v - -610. Round n to seven dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8432861.\nAnswer: 8432861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 277 (base 13) to base 7\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + z**2 + 9 + 11 + 11 + 54 + 218*z**4 wrt z?\nAnswer: 872*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34472, 137902, 310292, 551648, 861976?\nAnswer: 1241282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -306861683 divided by -8293559\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 - 68*c**4 - 25*c**3 + 590*c**2 - 536*c + 128 = 0.\nAnswer: -16, -4, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -55321 (base 11) in base 7?\nAnswer: -452645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45854 - 30538. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*n + 542, -11 = 4*a + 1. What is the remainder when n is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -2 + sqrt(175) + -1)**2.\nAnswer: -60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 2\/19 (c) -0.2 (d) -7\/16 (e) -2\/5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 376, 739, 1072, 1363, 1600, 1771, 1864, 1867?\n\"Answer: -2*x**3 - 3*x**2 + 386*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 29\/(1827\/(-1314)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3 = -7*v, -r + 3*v - 35 = -26 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -835351155*i*l**3 - 4*i*l**2 - 10*i*l - 4*i - 85759*l**2 + l wrt l?\nAnswer: -5012106930*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -2*l, 3*x + 15 = 6*x. Suppose l = 79*s - 72*s - 2219. What are the prime factors of s?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 + 4*r + 4. Suppose 3*a = -5*g + 20, -5*a - 3*g = 2*g - 30. Let q(x) = 9*x**2 - 7*x - 7. What is a*d(w) + 3*q(w)?\nAnswer: 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 7*j - 2*j = 0, -w - 3*j = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(2*h**3 + h**2 - h**2) + 2*h**2 - h**3 - 2*h**2)*(-380*h + 111*h - 202*h - 97*h)*(4 - 4 - 8).\nAnswer: 13632*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1482024 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*270\/315\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 666*h**2*w**5 + 7*h**2*w**4 + h**2 - 2935*h*w wrt w?\nAnswer: 13320*h**2*w**3 + 84*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001000000100 (base 2) in base 14?\nAnswer: -791a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 88. Let x = p - -42. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*g - 5, 3*g - 7*g - 20 = 0. Is c\/(-8) - (-137305)\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67245*w*y**6 - 13303*w*y**2 + w*y + y**2 wrt y.\nAnswer: 8069400*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + s**3 - 4*s**3 + 2*s**3 - 3 + 3 + (2*s + s - 4*s)*(-5*s - s**2 + 5*s) - 6*s**3 + 4*s**3 + 9*s**3 to m*s + h + l*s**3 + r*s**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 14*i**2 - 3*i + 17. Let c be s(6). Suppose -74*v + 270 = -c*v. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0386958632 rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g + 203300000 = -32*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8cb (base 16) to base 3.\nAnswer: 10002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 22. Let c be 8\/(-52) + ((-67)\/(-13) - z). Suppose c*v = 3*v + 19. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -178 (b) -0.2 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + 138\/(-4). Let h be 10\/35 - 39\/b. Suppose -2*v - 3*x = 13, 8 = -v - 5*x - 16. Is v smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785292.\nAnswer: 2, 3, 31, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.93? (a) 4\/5 (b) 2.3 (c) -8 (d) -5\/4 (e) 1 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:41 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1006 - 1008. Put 393, q, 4 in decreasing order.\nAnswer: 393, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + 7d?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 6*u**2 - 4*u. Let l(n) = -2*n**3 - 7*n**2 - 5*n. Let w(g) = -6*b(g) + 5*l(g). Let h be w(1). Solve 6*p - h = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305220 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-8) + (-10)\/80. Let b(f) = -14*f - 2. Let i be b(n). Let w be 1\/(52\/i - 4). Solve -w*u = -0*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 7, n: 6, m: 6}. Give prob of sequence gv.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*g*w**3 - 6*g + 3194*w**3 wrt g?\nAnswer: 59*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - q**3 - 3*q + 3*q - 9*q**2.\nAnswer: -3*q**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1553 by -19.\nAnswer: 1553\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450859?\nAnswer: 450859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 721393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 23*s**2\/2 + 47. Let w(j) = -2*j**2. Calculate w(m(i)).\nAnswer: -1058*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 27.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1477, 1712, 1947, 2182, 2417, 2652?\n\"Answer: 235*b + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x = 11*x - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2 - 6, 4*p + 4*j = -28. Let y(m) = -m**2 - 5*m + 5. Let o be y(-5). Let g = p + o. Sort g, 5, -5 in descending order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 32301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**2 + 3*d + 9. Let f(j) = 8*j**2 - 4*j - 10. Let c(k) = -6*f(k) - 7*r(k). Is c(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29 - 0.62. Let x = g - -6.53. Let z = x + -5.2. Which is the closest to 0.1? (a) 0.2 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7485900 by 6.\nAnswer: 1247650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 12*l + 8. Let z be n(11). Suppose 0*c - z = -c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/((j*j**(-6))\/j))*(j**(1\/2)\/j)\/j*(j*j**(-1\/2))**48*(j\/(j\/j**(1\/5)*j))\/(j\/j**6)*j**(-3\/5)\/j**3 assuming j is positive.\nAnswer: j**(161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -168, -255?\n\"Answer: -87*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1789*r - 1786. Let t be p(1). Solve -2*a - 12 = -2*z, 4*z + 4*a - 19 = -t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 56. Let y = -0.61 + 0.11. Put y, h, 0.3 in ascending order.\nAnswer: h, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2746754 or -2746752?\nAnswer: -2746754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {d: 1, h: 6, z: 1, e: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1420*q**3 + 64*q - 1412*q**3 + 47*q - 36 - 1422*q**3 + 4255*q**3 to the form n*q**3 + d*q**2 + c + t*q and give t.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 5. Suppose -12 = -v*x + 2*x. Suppose -x*q + 38 = p, 4*p - 147 = q - 21. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d96 - -2?\nAnswer: d98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 149, 169, 195?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from zjzjzzzjzvvjjjzzjjz?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308614591?\nAnswer: 308614591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -6.4, -2, 0.5, 5, -4\/85?\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23104442957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p**2 + 15997. Let l be d(0). Let 186*b**2 + 15949 + 4*b**3 + 146*b - l - 12*b**3 = 0. What is b?\nAnswer: -1, 1\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 33*v**2 - 25. Is r(-17) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 790 - 796. Let w be 0 + 0 + 4\/(-16)*-12. Sort 1, m, w, -3.\nAnswer: m, -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*q - n + 8, -q + 5*n - 26 = 0. Let h = q + 1. Suppose h = -6*t + t - 3*u + 118, -114 = -5*t - 4*u. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10788*p**3 + 5463*p**3 - 13984*p**3.\nAnswer: -19309*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.6026m in micrometers?\nAnswer: 137602600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71670360 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 3, 1, -5, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 5*t**2 - t - 25. Let j be r(6). Solve -18 = 5*q + b, -j*q = -b + 31 - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-48)*-3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-460)\/(-368))\/((-5)\/74))\/(2\/4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t)\/t)**34\/((t**(-1\/2)*t*t)\/t)**(4\/7) assuming t is positive.\nAnswer: t**(-716\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 126. Suppose -y = -5*c + 288, -3*y = -2*c + y + o. Suppose c = v + 3. Calculate the remainder when v is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 7:03 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 40. Let y be f(-29). Solve 0 = -4*s - 2 - y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 3*u**6\/2 - 2*u**5\/5 + 377*u**3 - 1087. Find the third derivative of j(w) wrt w.\nAnswer: 540*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1785033 and 5355099.\nAnswer: 5355099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/30 - 2192*p**2. Suppose -o + 39 = 2*o. Let c(d) = -o*d + 3*d - 4*d. What is c(t(f))?\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/(b*(b*b**(-1\/7)*b)\/b))**14*((b\/(b\/b**3))\/(b*b**(-3\/4)\/b))**(6\/5) assuming b is positive.\nAnswer: b**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*k = 7, 0 = 2*n - 23009*k + 23011*k - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.01\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7752, -15514, -23286, -31068?\n\"Answer: -5*r**2 - 7747*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 79*b**3 - 3*b**2 - 8*b - 3. Calculate g(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 7*q - 25*q - 125 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48\/19 - 356\/171. Let w = 2.98 - 3. Let m = w - 0.38. Which is the biggest value? (a) r (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfyab. Give prob of picking 1 f and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 29 = 10*x - 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 678712 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -321, -631, -1065?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 19140?\nAnswer: 172260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12314*b = 12317*b + 4*q + 23, -2*q + 1 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3)*((p**(4\/3)*p)\/p)\/p)\/(p\/p**0*p)**(2\/7) assuming p is positive.\nAnswer: p**(79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 12*p**2 - 12*p + 26. Let h be y(-13). Let m(t) = 20*t**2 - 2*t - 83. Is m(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550.601kg in milligrams?\nAnswer: 1550601000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/121? (a) -2\/15 (b) -3 (c) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 15b49?\nAnswer: -15b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - l - 34 = -4*m, 5*l = 10. Suppose 0 = -3*d, 2*y - 5*d = -y + m. Factor -8*u**2 + 4*u**y - 2*u**2 - 2*u**2 - 36*u - 9 - 11.\nAnswer: 4*(u - 5)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5443480 divided by 14.\nAnswer: -388820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 295, 450, 607, 766, 927, 1090?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -814916.0116 minus -4?\nAnswer: -814912.0116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -437, -289, 93, 817, 1991, 3723, 6121, 9293?\n\"Answer: 18*f**3 + 9*f**2 - 5*f - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e5151 + -b?\nAnswer: e5146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 9*l**4 + 20*l**4 + 2*l**4 + 0*l**4 + 0*l**4 + (1 - 2 + 4)*(0*l**4 + 3*l**4 - l**4).\nAnswer: 34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(147\/(-14)*((-30)\/7)\/5)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -211, -850, -1909, -3388, -5287?\n\"Answer: -210*u**2 - 9*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4380 is divided by 2111?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 14*p**3 + 3 + 4)*(p + 3*p - 5*p)*(1 - 2 - 1).\nAnswer: 28*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 minus -0.259209?\nAnswer: 0.389209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = b - 2, -5*b + b + 5*o + 1 = 0. Which is smaller: b or 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1 + 2*l + 2*l + l - 7*l. Let h(k) = -5*k - 2. Let f = -15 - -19. Determine f*h(j) - 9*m(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 92291230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 22. Suppose 24 = r + 4*d + 4, 4*d = 5*r + p. Is r + (84 - (-4 - -5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1048989241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-6) + 4)*6\/4. Solve -3*o + 2*m = -m + 9, -j*o - 5*m = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 38 = -42. Let n be (120\/115 + l)*-1. Which is the second biggest value? (a) -2 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -112. Suppose 64*a + 240 = v*a. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaayaa. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c**2 - 92*c + 541. Determine k(6).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232\/5 + 46. Is -18 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhht when four letters picked without replacement from tftbfhhhbh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a. Suppose 4*w - 20 = 3*j, -w - 4*j + 15 = 2*w. Let z(f) be the first derivative of -5*f**2\/2 + 30. What is w*q(p) - z(p)?\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 188 = -3*o, 4*o - 5*o + 54 = 3*j. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/5 - 50*z**2 + 1562*z\/5 - 262 = 0. Calculate z.\nAnswer: -131, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 6*m + 4. Let g be o(-7). Let v = g + -3. Let l(x) be the second derivative of -x**5\/20 - x**4\/2 - x**2\/2 - 1490*x. Give l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 5*i. Let g(u) = -12*u**2 + 12*u. Let w(l) = 12*c(l) + 5*g(l). Let h(k) be the third derivative of -k**5\/60 + 3*k**2. Calculate w(h(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = 0. Suppose x = -3*p - 4*k + 70, p = -3*p - 3*k + 98. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**3 + 1 - 259*u**2 + 996*u**2 + 384*u**2.\nAnswer: -20*u**3 + 1121*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 11959, 0.7, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - (18 + 16)) + 62 - (-1 - -13)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.9549394 to one dp.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:24 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 4156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1194 divide 4210368768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -194, -269, -350, -437, -530, -629?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-558)\/(-64)*(-10)\/15 and 219\/36 - 2\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1892)\/14 + (12\/21)\/4. What are the prime factors of (-3393)\/a + 4\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let i be (-20)\/(-35) - 119\/294. Let x(m) be the second derivative of 3*m - i*m**3 + 0*m**2 + 0. Give d(x(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 34*c - 267. Give n(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/56*38\/133 + 18\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 14*g + 334787. Let b = -1799213 + g. Round b to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**3\/3 - 9*b**2\/2 + 9*b - 48. Let s(i) = i**2 + 4*i - 4. Calculate 4*h(p) + 9*s(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a + 6*a + 20*a**2 + 6*a - 7*a**2 wrt a?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 1. Let d(v) = -12*v - 14. Suppose h - 4*h - 4*o = -2, 0 = -5*o - 5. What is h*d(w) + 28*f(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -1045\/218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Suppose 2 = 6*k - 4*k. Suppose 4*l + 5*x - 7 = -k, 4*l - 3*x - 22 = 0. Solve 8 = 3*z + f + 19, -y*z + f = l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5710*s**2*t**6 + 21184*s**2*t - 670*s*t**2 - 2241*t**4 wrt t.\nAnswer: -685200*s**2*t**3 - 53784*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {s: 4, o: 5, q: 1, y: 4, p: 6}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -267, -404, -649, -1038, -1607, -2392?\nAnswer: -3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4 - 4400*c**3 + 2424394*c**2 - 4831204*c = 0.\nAnswer: 0, 2, 1099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2781.588 - 6.588. Let w = -2823.16 + c. Let j = -48 - w. Is j > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1746*(-7)\/14 - 6. Suppose -48*b = -51*b + w. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -82334611?\nAnswer: 82334608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185516179 to the nearest integer?\nAnswer: 13620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/468 and -103\/49706280.\nAnswer: 49706280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-3) - -2 - -2. Let j be 1\/(-3) + 40\/12. Suppose h - j*q = -5, 3*q - 32 = -5*h - q. Put -4, r, h in decreasing order.\nAnswer: h, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(-42 - 58 + 56)*(-r**2 - 4*r**2 + 3*r**2) to the form z + k*r**2 + b*r and give k.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12983, 12975, 12959, 12929, 12879, 12803?\n\"Answer: -i**3 + 2*i**2 - 7*i + 12989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 8:58 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(-3 + (1 + sqrt(325))*6 + sqrt(325)) - (-2 + 2*(-1 + sqrt(325)) + (-1 + sqrt(325))*-2)**2).\nAnswer: 3 + 105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*m**2 - 172*m**2 + 2016*m + 159*m**2 + 1683*m**6 wrt m?\nAnswer: 201960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4 + sqrt(1900)*2)*-1 + 4 + -2 + sqrt(1900) + -3 + sqrt(1900) + 3)**2*-6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2159 + -2157.9. Which is the nearest to 1? (a) -1\/3 (b) 0.2 (c) 1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - l + 5 = 0, 5*b + 0*b = -2*l + 4. Suppose -b*p + 6 + 111 = -5*w, 4*p - 3*w - 241 = 0. Is p a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 2*r - 5*r - r - 3*r + 0*r + (2 - 1 + 1)*(7*r - 2*r - 3*r) + 0*r + r + 0*r + r + 4*r - 3*r + r - 2*r + 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**4 - 9*s**3 - 12*s**2 - 3*s - 3. Let l(j) = j**3 + j**2 + j - 1. Let r(h) = -3*l(h) + m(h). Solve r(u) = 0 for u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(204) + (sqrt(204) - (sqrt(204) - (sqrt(204)*2 + sqrt(204))))*6 + sqrt(204))*-3)\/(sqrt(240)\/(-1*sqrt(5))*1).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508730 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -208*x**2 + 357*x - 36. Let v(f) = 69*f**2 - 119*f + 13. Let d(y) = 4*h(y) + 11*v(y). What is the second derivative of d(z) wrt z?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + 3 + 2) - (4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4\/4 + 1185*m**3\/4 + 4587*m**2 + 14817*m + 13644 = 0.\nAnswer: -379, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*l - 4*f + 115, -5*l + 3*f = -99. What is the smallest common multiple of 9 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u\/u**4)\/u*u*u\/u**(-1\/8)*(u*u**(2\/3)*u)**(-2\/15) assuming u is positive.\nAnswer: u**(-83\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 134. Let u = v + 126.8. Let a = u - 32. Sort a, 3\/5, 0.4 in descending order.\nAnswer: 3\/5, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 61, 102, 179, 304, 489, 746?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/(-4))\/(15\/(-150))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2914 and 294888058.\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2*g - 2*g. Suppose -h = -5*t + 7, 6*t - 2*h = 3*t. Let i(c) = 3*c**t - 5*c**2 + 4*c**2. Calculate i(m(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + 1596\/441 + 1*-3 and -29\/141.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(9) - 3*-1*sqrt(9)))\/(sqrt(5184) + sqrt(5184) + -2*sqrt(5184) + sqrt(5184))*-1.\nAnswer: -sqrt(5)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) 2\/3 (c) 1 (d) -66037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26692.23 meters to millimeters.\nAnswer: 26692230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*u**4 + 279*u**4 - 20*u**3 - 36*u**5 - 8*u**2 + 272*u**4 = 0. Calculate u.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.5 - -207.5. Let w = -3755.87 + 3561.757. Let y = w + g. What is y rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 54. Let c be t(-17). Is c at most as big as -108\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1402*m**3 - 6*m**2 - 10*m - 4. What is t(-1)?\nAnswer: 1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 5*k + 4. Suppose 3*f - 4 - 11 = 0. Let j be n(f). Suppose 27 = 5*z + 2*i - 0, 4*z = -j*i + 24. Solve -3*s - 4*v = -z*s - 12, -2*v = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v + 2*v + 0*v)*(-16 + 16 - 9*v) + 22 + 19*v**2 - 22 - 2*v + 2*v + 2*v**2)*(-10*v**2 - 5*v**2 - 5*v**2).\nAnswer: -600*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 and ((-1)\/(-4))\/((-56)\/(-1358))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-520)\/3634 + 44 + (-25225)\/575?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*4.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (435\/20)\/29*2184\/(-42)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + 0 + (sqrt(833) + -1)**2 + ((sqrt(833) + sqrt(833) + 1*2*sqrt(833))**2 - ((2 + sqrt(833) + sqrt(833))**2*1 - sqrt(833))).\nAnswer: -63*sqrt(17) + 10820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 5 (b) 61 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 17*j - 42.\nAnswer: -(j - 14)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347248 is divided by 4236?\nAnswer: 4132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -26*x**3 - x**2 + x. What is u(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -148, -282, -480, -748, -1092, -1518, -2032?\nAnswer: -2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1198 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60 times 129.769\nAnswer: 7786.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*z = -15*z + 104 + 196. Solve -y + 7 = -3*c - 5, y - c - z = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8663816 tonnes?\nAnswer: 866381600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 7:36 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/63*(-9)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*t + 6*t - t)*(3 - 2 + 1)*(-23 - 25 + 55) to d + c*t and give c.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 - -2.6. Let s = 23 + -62. Let t = s - -38.6. Sort y, t, 7 in descending order.\nAnswer: 7, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxux when four letters picked without replacement from {e: 4, x: 3, u: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1041*c + c**3 - 43*c**2 + 44*c**2 + 0 - 128*c + 3*c**4 + 1 to g*c**2 + u + w*c + q*c**3 + m*c**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(4 - 2*h**3 + 13 + 1).\nAnswer: 2*h**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401339 by -16.\nAnswer: -401339\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 - -1001?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3) - 9\/18)*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 1056.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298*s - 271*s + 62*s + 69*s - 137 + 133 to y + j*s and give j.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15021 - 30?\nAnswer: 14661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + (sqrt(99) - (sqrt(99) - (-2*sqrt(99))**2)))*3 + (2*(-1 + sqrt(99)) - (5*sqrt(99)*-6 + sqrt(99))).\nAnswer: 93*sqrt(11) + 1175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -46)\/(2 - 0). Let x be 3\/i*(-7)\/6. Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3*h - 48, -9*y - 3*h = -6*y + 18 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 697\/5 - 139. Let j(h) = h**3 + 3*h**2 - 6*h - 9. Let f be j(-5). Let s = f + 32. Which is the smallest value? (a) s (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 2*v)*(v - 91 + 37 - 2*v**2 + 4*v**2).\nAnswer: -4*v**3 - 2*v**2 + 108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/5253 and -33\/43958855.\nAnswer: 131876565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.555*-994.57\nAnswer: 3535.69635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24135.44t to milligrams.\nAnswer: 24135440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) -1\/6 (c) -5098080\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcrb when four letters picked without replacement from drcrjnrbrrdrrnr?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13*25843 + -11 + 9. Let o be g\/(-12) - (-9)\/(-12). Suppose 44574 = 3*d - w + 2570, o = 2*d + w. What is d rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -68*j**2 + 2335*j - 415. What is y(34)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 + 10 + 18 - -21) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 0. Sort 0, 3, x in decreasing order.\nAnswer: 3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127992 and 18.\nAnswer: 383976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1667, 110, 11, 3 in descending order.\nAnswer: 110, 11, 3, -1667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 763813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.8954253 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 353*w - 152481. Give d(-252).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 1. Let q be u(1). Suppose q*g = -3*g + 9. Let l(t) = t**3 - 5*t**2 - t + 1. Let y be l(5). Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -971.1723 - 49036.\nAnswer: -50007.1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + u + 7, 517*f = 249*f + 254*f + u - 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1044293 and 2.\nAnswer: -2088586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5 - 36. Let l = 18 - p. Let k = l - -27. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -14*i + 16. Suppose -12*o - 88 = -i*o. Let j be (5 + (2 - 4))*11. Calculate the highest common factor of o and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m + 122 = 132 + 721 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8571 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by (-1 + 12 - -8)\/(3\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 10:09 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/25)*y**(-6\/7) assuming y is positive.\nAnswer: y**(-157\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 88*v + 2157. Give d(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) 8901 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4.49.\nAnswer: -3.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {g: 2, a: 1, k: 1, y: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (726\/77 + -9)\/((-3)\/2). Which is the nearest to v? (a) 4 (b) -4 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*d = 74, -40 + 126 = -4*b - 6*d - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 - 5.12. Let y = -0.079137 - -0.079137. Which is the nearest to 1? (a) 0.26 (b) u (c) y (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - q**4)*(668 - 3608 - 4691).\nAnswer: 7631*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16887?\nAnswer: 3, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -21*c - 7. Let p be k(-2). Which is greater: 36 or p?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 21, 55, 103, 165, 241?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r + r + r. Let x(b) = 6*b - 15. Let z(y) = 30*y + 12. Let d(k) = 23*k + 12. Let g(c) = 5*d(c) - 4*z(c). Let m(f) = -5*g(f) - 4*x(f). Give p(m(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 26. Let z(c) = 2*c**3 - 29*c**2 + 42*c - 9. Calculate the smallest common multiple of z(13) and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*a + 256 = -6*a, -2*c + 132 = a. Let p = 316 - c. List the prime factors of p.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10004130111 (base 5) to base 10\nAnswer: 9833156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1643.1 and 4.\nAnswer: 1647.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)*t*t\/t**(-7)*((t**(4\/5)*t)\/t)\/((t*t\/(t**(-2\/13)*t))\/t) assuming t is positive.\nAnswer: t**(172\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k**4 - 180*k**3 - 300*k**2 + 1280*k + 336 = 0. Calculate k.\nAnswer: -7, -6, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 times -23.4?\nAnswer: 12870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w + 6. Suppose -2*x + 0 = 4. Let h be x + (-16)\/6 + 3. Which is the second smallest value? (a) h (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-70)\/18 + (-5)\/45). Let p(j) be the third derivative of 0 - 1\/12*j**4 + s*j**3 + 3*j**2 + 0*j. Let v(w) = -2*w**2. Determine v(p(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, g: 4, w: 6}. Give prob of picking 3 d and 1 g.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 655819.8l?\nAnswer: 655819800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -2063699784.\nAnswer: -2063699783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0 - 8. Let d = 4 + t. Suppose 2 + d = q, q + 64 = 4*k. Calculate the highest common divisor of k and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -3 + (-3 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14506273.\nAnswer: 1579, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - j + 61 = 0, -676*j - 678*j = -4*b - 2027*j + 672*j - 56 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1301216 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5300045 + 1.53. What is h rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14236, 28535, 42942, 57511, 72296, 87351, 102730, 118487?\nAnswer: 134676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.23 + -61.93. What is the biggest value in -23.4, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**2 + 2*j**3 - 3*j**3 + 5*j - 16 + 0. Suppose 9*w + s = 4*w + 55, -4*w = 5*s - 44. List the prime factors of r(w).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0247533 to 5 dps.\nAnswer: -0.02475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-2 + -4 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**3 + 7*y**2 - 7*y - 7. Let u(m) = -17*m**3 - 6*m**2 + 6*m + 6. Calculate -6*q(o) - 7*u(o).\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o + 2. Let t(z) = 3*z + 1. Let u be -2*(9\/(-2) - -2). Let a(i) = u*t(i) - 4*r(i). What is the units digit of a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Suppose -5*k + 5*i = -60, 3*i + y*i - 36 = -3*k. Suppose 0 = -x + 2*x - k. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.1. Suppose -c + 2 = -1. Sort c, 3\/2, z.\nAnswer: z, 3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.758773 to three decimal places.\nAnswer: 7.759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at least -4471\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*u - 10 = -116*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 579 + 1673. Find the common denominator of k\/112 + (-8)\/(-28) and 1 - (54\/(-40) - 0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((4 - -1)\/15). Determine s, given that 4\/5*s - 2\/5*s**f + 2\/5*s**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 327 - 202. Let o be (-4)\/5*1720\/(-16). Let c = q - o. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010111 + -10001100111?\nAnswer: -1100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5, -40*h + 44*h = -r + 7185. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (20\/(-90) - 205\/9). Suppose -3*u - 2*p + 11 = 0, -j + 0 = -4*u + p. Suppose -27*q = -32*q - u. Sort q, 1, -2.\nAnswer: -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -52*a. Let p(w) = -310*w. Let r(j) = p(j) - 6*u(j). Let y(o) = 3*o + 35. Let b(h) = 16*h + 174. Let k(z) = -4*b(z) + 22*y(z). Determine k(r(v)).\nAnswer: 4*v + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmtdvwwdmxxdtmt. What is prob of picking 1 d and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.027726ms?\nAnswer: 0.006027726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13950 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(420\/(-7))*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by -4.\nAnswer: -135\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153535 is divided by 1970.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 1392 + -2326. Let y = c - -1884. List the prime factors of y.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:21 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345605249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/6)*(-4)\/(-12)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -u + 76. Let p be (-1)\/((-14)\/(-1634)) + 6\/(-21). Let y be (1\/(-3))\/(1\/p) + -1. What is the greatest common factor of y and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**3 + 82660851*q**2 - 82660851*q**2.\nAnswer: 33*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + k = 2863 - 2947, -2*i = -2*k - 48 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -13, -21, -31, -43, -57?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-20)\/(d*d**(-13\/3))*(d*d**(-8))**(-43) assuming d is positive.\nAnswer: d**(853\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (40\/(-12) - -4). Let k = 1\/12 - 3\/4. Which is the second biggest value? (a) 13 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1118\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 2064*l**3 - 532512*l**2.\nAnswer: -2*l**2*(l + 516)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*((sqrt(68) + 1)**2 + 0 - (sqrt(68)*1*-6)**2) + -1 + 0)*2.\nAnswer: -19040 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17791002 to the nearest integer?\nAnswer: 4218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(171))**2.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -0.1, 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0 + 0*s**7 + 0*s**5 + 9\/8*s**8 - 22*s + 0*s**6 + 0*s**2 - 8\/3*s**3 + 1\/12*s**4. Find the third derivative of m(o) wrt o.\nAnswer: 7560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2501 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23856 = 28*o + 8568. What is the smallest common multiple of o and 30?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 7}. Give prob of sequence xxgg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -9*o + 34. Suppose -5*y = o*k - 9988, 3*k = 3*y - 1210 + 11182. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6790 divided by 70.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*(10 + -3))\/2. Suppose -14 = -4*q - 5*j, 3*q + 3*j - j = s. Let n be q*(-1)\/(-2) + -1. Solve 12 = -4*i, 42 = -5*p - n*i + 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 37*u**2. Let l(r) be the third derivative of 23*r**4\/24 + 3*r**2 + 121*r. Determine l(v(c)).\nAnswer: 851*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-40)*(-12)\/(-6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -5) + (-1 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - n**2 + 4*n - 3. Let m be f(2). Let g = 23 + m. Suppose g*c - 72 = 6*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*y + 178 - 34*y + 25*y.\nAnswer: 22*y + 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 4672*d**2 + 4671*d.\nAnswer: d*(d - 4671)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + -20. Let m be (-23)\/69 + 1 + 26\/p. What is the third biggest value in 0.4, -2\/15, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Suppose 0*y = -d - 2*y + 4, -s*y - 48 = -5*d. Is d*(-1 + (0 - -3)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b2 + 204?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40866553 + 12666553. Round z to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8666930 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1825651 and 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-7)*5\/((-15)\/84). Let b be (j\/(-9))\/(16\/(-6) + 2). Is (-4 - -18)*74\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30633.33 decades in millennia?\nAnswer: 306.3333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 285?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14202046 and 6649?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 - j + 2. Let m be l(-2). Let s = 12 - m. Let u = 4 - s. Calculate the highest common factor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/5399727 and -3\/3101.\nAnswer: 37798089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1187*m - 66593. What is d(-57)?\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.68786 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2\/2 - 783. Let m(b) be the third derivative of -17*b**5\/60 + 3*b**2. Determine g(m(u)).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -235 + 193. Let x be t\/35*25\/2. Let l(k) = k**3 - 8*k**2 + 12*k - 17. Let b be l(7). Is x at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 20 + 28894*u + 19637*u + 787*u + 62964*u)*(3*u**2 - 3*u**2 + u**2) to the form q*u + c*u**2 + w + l*u**3 and give l.\nAnswer: 112282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101002 + 1221010?\nAnswer: -1102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/(-6) + -1 + 3)\/(5\/(-60)). Solve 10*u - a*u - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-416)\/(-65) + 2\/(-5). Let y be (0 + -10)\/(w\/(-3)). Let t(v) = -7*v. Let b(n) = -4*n. Let j be 3*-1 - 1 - -1. Determine j*t(l) + y*b(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-6)\/9 + 1). Let s be 2 - j - (0 - 0). Solve -s*o = -o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*u - 6 + 29, 0 = 3*z - u + 9. Let a(v) = -22*v - 61. Is a(z) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/235385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 47. Let j be (57\/12)\/(18\/w - -2). Let o = j + 24. Solve -4*f = 3 + o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -492 - -462. Let d be (-2)\/13 + 629\/(-221) - u. Which is the second smallest value? (a) d (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - -6) + 0 + -39 + 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 2*h - 12*h = -993114. What are the prime factors of h?\nAnswer: 2, 53, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-4) + (3 - (-5 - -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 83368*m**2. Let w(q) = -2*q**2. Determine w(h(y)).\nAnswer: -13900446848*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948301 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(4\/(-77 + 5)). Are v and 9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5178 is divided by 394.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 6*n + 19 + (-3 + 0 + 1)*(2*n - 3 + 3) + 2*n - 3 + 3 - n + n - n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 7*j + 7. Let l(a) = 0 + 42 - 6 - 36 - 1 - a. Suppose 1 + 3 = 2*k. Give k*d(y) + 14*l(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:58 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.205, -2\/11, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25101 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 24. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 48*s + 17*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-17 - -5) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701.16ng to milligrams.\nAnswer: 0.00070116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295420?\nAnswer: 2, 3, 5, 67, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1839410 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -115. Let r(m) = -2*m - 4 + m - 12 + s. Let j(y) = -5*y + 19. Give -2*j(i) + 11*r(i).\nAnswer: -i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/13 + 34572*u\/13 + 34574\/13 = 0.\nAnswer: -1, 17287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.7 (b) 1 (c) -1.11 (d) 0.2 (e) 2\/443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-90)\/43) + 1. Let t(u) be the first derivative of 2 + 1\/9*u**4 + 0*u**2 + 0*u - 2\/27*u**3 - n*u**5. Factor t(g).\nAnswer: -2*g**2*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17585186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 1, u: 2}. What is prob of sequence kuu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.107.\nAnswer: 0.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 5200.\nAnswer: 88400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:59 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44252 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27644821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d21 (base 14) to base 9.\nAnswer: -3473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 390955724?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 171458376 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 - 108. Suppose -m*v = 5*c - 20, 8*v = -5*c + 4*v + 15. Let u(q) = -q + 8. Determine u(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 13*n**3 - 4*n**4 + 5*n**4 - 5*n**3 + 0*n**4 as r*n + c*n**3 + m + l*n**2 + q*n**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/4 + 2*m**3 - m**2 + 12*m. Let a be i(-6). Let k = -7 + a. Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6963162 weeks in seconds?\nAnswer: 421132.03776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 643 and 17576.45.\nAnswer: 18219.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261648792.\nAnswer: 2, 3, 134593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 617 + 747 = 0. Let i be 1\/(-1)*-5 + 0. Suppose 0 = 4*r - 2*r + i*c - 248, 3*c - h = -r. Calculate the remainder when r is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-11)\/(-1) - 2. Let j be (l\/(-6))\/((-3)\/16). Let i(g) = g. Let s be i(4). Solve -j*c = -3*y - s*c, 2*c = -2*y - 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 + 118*v**2 - 250*v - 122*v + 130*v**2 - 250*v**2 = 0. What is v?\nAnswer: -187, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 9, a: 2, b: 3}. Give prob of sequence cc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417552685 and 25?\nAnswer: 2087763425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-20 - 5) + -1 - (5 + -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (56\/(-6))\/(-2)*-3. Let a(d) = -2*d - 16. Let w(q) = -3*q - 4. What is the remainder when w(-12) is divided by a(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2. Let v(j) be the first derivative of -j**3 - 2. Determine v(u(p)).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141432?\nAnswer: 2, 3, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -13.1. Let g = -52 - -39.5. Let h = g - b. Round h to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 1. Let y = -9 - -10. Let k(n) = -n + 7. Let j be k(5). Let v(p) = 10 - j*p**2 - 4 + 6 + 12*p. Give y*v(m) + 12*c(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -740 - -798.08. Let m = z - 58. Let x = -0.08001 + m. What is x rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(9\/7)\/((f*f**1)\/f)**(3\/25)*(f\/f**(2\/5))**37*f**(2\/7)*f*f**4 assuming f is positive.\nAnswer: f**(33073\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/5 + 5*q**4\/12 + 3*q**3\/2 + q**2\/2 + 56*q. Calculate the least common multiple of k(-5) and 9.\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y = 0. Suppose 0 = p + a - 7 + 2, y = -5*p + 3*a + 9. What is the third derivative of -2*o**p + 2*o**2 + 4*o**3 + 0*o**2 wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1 - 6*a - a**2 - 7 + 0. Let n be h(-4). Suppose -2*j = 5*b + 18492, 0 = -b + n*b + j + 3696. What is b rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*j + 27*j + 24*j + 17*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1371 and 110833011?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-10\/9)*h)*h*(h*h*h\/h**12)\/h)\/(h**(-13)*h**(-4\/9)))**18)**(3\/5) assuming h is positive.\nAnswer: h**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (418*p + 447*p + 170*p)*(-7*p - p - 2*p).\nAnswer: -10350*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*l + 35 = l, -r = -5*l + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15015)\/77*6\/90\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 9. Let p(w) = 7*w - 18. Let b(n) = 5*c(n) + 2*p(n). Let a be b(6). Solve 0*l + a = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*p - 9 + 3, 3*p = 2*s + 9. Let f be (87\/203)\/(3\/21). Solve f*h = 4*k + 2, 2*h - 2*k - 3*k + 1 = s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14753 (base 9) to base 6.\nAnswer: 114420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118\/11*g**3 + 0 + 0*g - 120\/11*g**2 - 2*g**4.\nAnswer: -2*g**2*(g - 4)*(11*g - 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q + 7. Let r(h) be the third derivative of h**4\/24 - h**3\/2 + 333*h**2. Suppose -5*b - 4 = -24. Let f = b + 1. Calculate f*r(m) + 2*d(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = -8*s - 237. Let w = 67 + s. Suppose y + w - 32 = 0. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 3*j**2 + 5*j - 5. Let w be l(-5). Solve -3*v + 8*v - w = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/2 - 4*c**4 + 685*c**3\/2 + 4540*c**2 - 342*c - 4536 = 0. Calculate c.\nAnswer: -18, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1201 - -0.1201. Suppose -3*m - 105 = 2*m. Let v be (3\/9)\/(m\/(-27)). Which is the smallest value? (a) u (b) 0.06 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615157.\nAnswer: 263, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21877 is divided by 10872.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*l - 342 = 122 + 280. Solve -28 - 20 = l*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*z + 11, 2*z - 5*a = -3*z - 15. Let s = z + 3. Suppose 2*w = -2*q - 3 + 29, 3*w - s*q - 46 = 0. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48500 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/61, 113, -84 in increasing order.\nAnswer: -84, -8\/61, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -210 + 205. Let a(r) = -r**3 - 2*r. Suppose 19 + 3 = -5*h - i, 4*i = 4*h + 8. Let g(t) = t**3 + 2*t. Calculate d*g(z) + h*a(z).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 70*h**2 + 65*h - 109. Determine n(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 29 = 4*f - 4*h, 2*f - 3*h - 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (182\/4)\/(3\/12*2). Find the first derivative of 91*w + 1 - g*w + 8*w**2 wrt w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10*l**2 + 3*l**2 + 9*l**2 - 31*l**2 + 12*l**2.\nAnswer: 3*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 2*d, -4*g - 3*d - 12 = d. Let i be (3 + 1)\/(1 - g). Suppose u - 32 = -i*y, -2*y - 5*u = -12 - 4. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 0. Let u = g + 16. Suppose -u*h + 41 = 3*o, 20 = -4*o - 0. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/12 + 7*p**3\/3 + 5*p**2 + p. Let j(l) = -l + 7. Let r be j(0). Calculate the remainder when h(r) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348403*c**3*l - 21*c**3*z - 467*c**2*l*z + 12001*c*z wrt c?\nAnswer: -2090418*l - 126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019514 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 44*u**2 + 3*u + 15. Let g be f(5). Let b = g - 695. What are the prime factors of b?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670808.6 months in decades?\nAnswer: 13923.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) 1\/2 (c) -1\/7 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*s - 188*s = 120. Let p be ((-16)\/s)\/(2\/(-5)) + 3. Solve -o = 5*g, -p*o = -2*g - 15 - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f**3*j**3*m**3 + 1255*f**3*j**3*m - 213*f**3*j**2 + 10*f**3*j*m - f**3*m**3 - 7*f**2*j**2*m**3 wrt j.\nAnswer: -48*f**3*m**3 + 7530*f**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**3 - r**2 + 1. Let a be m(-1). Suppose -8*b = -a*b + 6. Let c = 96 - b. Is 30 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 + 82*g\/7.\nAnswer: g*(g + 82)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/1*-4961)\/(1047 - 1048)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-243) + 7 + (-268)\/36?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 + -77. Suppose -j = -3*p - 2*p. Suppose p = 5*r - 131. Calculate the remainder when r is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/3 - 40*l**4\/3 + 34*l**3 + 328*l**2\/3 + 185*l\/3 = 0. Calculate l.\nAnswer: -1, 0, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45537, 45534, 45531?\n\"Answer: -3*c + 45540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from kcxcckccxiimsix?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 21 = 19. Is w at most as big as 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -4, 5, 14, 23, 32?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -360.\nAnswer: -360, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -426, -626, -824, -1020?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -15. Suppose 0 = 2*s + 5*o - k, -3*s - 2*o - o + 12 = 0. Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3230402, -3230403, -3230404, -3230405, -3230406, -3230407?\n\"Answer: -z - 3230401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 11. Suppose -2*o + 346 = q*n, 3*n - 148 = o + 64. What is the highest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/2 + -1 - 2. Suppose -l = -0 - u. Suppose -25 = l*k, 5*n - 29 - 36 = 5*k. Solve 1 = -r - 2*p, 0*p = 2*r + p + n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 2, k: 4, c: 4}. What is prob of sequence kmkk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0*j + 0*j - j + 2*j**2 + j + (0*j + 3*j - j)*(-j + j + j) - 2*j**2 + 0*j**2 + 0*j**2 - 5*j**2 + 16*j - 16*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.02 + -0.02. Let c = t - -6. Let y = c - 9.99999986. Round y to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-3 + (11 - 5) - 3) + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - v + 2*v + 9, v = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -813*g - 364*g + 280*g - 243*g - 48*g to l*g + k and give l.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7089206 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 3. Let x be b(3). Let t = -24 - -42. Suppose 5*f + t = 4*z, f - 4*z + 0*z = -10. Put f, -4, x in decreasing order.\nAnswer: x, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + -3. Let t = 15.2 + w. Is t greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52139892?\nAnswer: 2, 3, 7, 31, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/20 + 5*f**4\/6 - 5*f**3 - 21*f**2 - 6281*f. Calculate d(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:18 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108032, 108032, 108034, 108038?\nAnswer: 108044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 21*n - 46. Let g be x(-23). Suppose -4*t + 2*t + 216 = g. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-40 + 31 + -19) - (3 + -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c - 64. Let r = c - -47. Suppose 132 = -13*v + 24*v. What is the remainder when r is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70*(-243)\/810)\/(18\/2)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -533?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 + 3630\/(-90))\/((7\/63)\/(1\/3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*y = -91*y - 30. Suppose -y*v = -5*v - 10. Suppose -24 = -v*w + o + 126, -4*o + 288 = 4*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*-1 - 24\/63\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3111103322 (base 4) to base 12\nAnswer: -361762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 48. Let c = p + -4. Let s = -10 + c. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -62. Suppose 0 = -0*b - 3*b + k. Suppose 173 - 1421 = -52*w. What is the highest common divisor of b and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 - -4. Let h = -4 + 4.4. Put h, -3, n in descending order.\nAnswer: h, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9424905?\nAnswer: 3, 5, 7, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdrrsdsrdslsps. Give prob of picking 1 r, 1 p, and 1 d.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -295 + 296 + 9*d**3 + 0*d**4 - 2*d - d**4 + 0*d**4 in the form q*d + x*d**3 + n + w*d**2 + k*d**4 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5b (base 12) in base 11?\nAnswer: -1275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 29*y + 16. Let r be z(15). Let w = 1\/10 + -1\/60. Put 1\/8, w, r in decreasing order.\nAnswer: r, 1\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 18 = -50. Find u, given that -4*u**4 + 4*u - 12*u**3 + 4*u**5 + 5 + 4*u**3 - 9 + h*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 27 + 4)*(2 - 2 + u) as i + m*u and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 397897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.141, -2\/21, 4 in descending order.\nAnswer: 4, 0.141, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -956.\nAnswer: -1\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6524873 to the nearest integer?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60459266 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89082600 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 11*j - 1695 = 0. Suppose 2*i + i - j = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m + 1. Let a be z(2). Suppose 2*s = s + 43. Let f = s - a. What is the remainder when f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -417\/4. Let c = -9 + 9.35. Let w = 0.05 - c. What is the third smallest value in g, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157800 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -17.934\nAnswer: -16.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaarzqqarztrrt. What is prob of sequence tt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 107. Suppose -w*k + 518 = -5*a - 1677, 0 = k + 3*a - 431. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 130, 84, 14, -74, -174, -280?\n\"Answer: s**3 - 18*s**2 + s + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 202\/3. Let d be 5\/((-85)\/2) - (-9)\/((-5508)\/(-531)). What is the closest to x in d, -0.17, 5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 222\/25635181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4498.665m in centimeters?\nAnswer: 449866.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(245).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 8*b - 7)*(-2*b**2 - 22*b**3 + 26*b**3 - 5*b + 16*b) to the form l + c*b**2 + n*b + j*b**4 + u*b**3 and give c.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 - 176 = 57*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16*f**3 - 14*f**2 - 31*f. What are the prime factors of i(13)?\nAnswer: 13, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 >= 1193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 50 = -12*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 3. What is the lowest common multiple of u and 62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - n. Suppose 6*z + 5 = z. Let s be y(z). Let i = 9 - 6. Solve -s*o + 23 = 4*q, o - i*o + 10 = 2*q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 259\/2. Are 3 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p**2 + 19*p + 14. Let a(w) = -w**2 - w. Let n(f) = 5*a(f) + k(f). Let y(x) = -4*x**2 - 9*x - 9. Determine 5*n(o) + 8*y(o).\nAnswer: -2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + s = -5*x + 33, 3*x - 23 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*i = 95*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2 - 1 + j + 4*j. Suppose 0 = -p + 5*p - 12. Let a be m(p). Solve 4*w - 4 = a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-891)\/144) - (-2)\/3?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*3248\/116)\/((-1)\/1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17687497, -35374990, -53062483, -70749976, -88437469, -106124962?\nAnswer: -123812455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptjjnhhjjjjjj. Give prob of picking 1 j and 1 n.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 - -46. Let s = -239 + o. Is s greater than or equal to -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d - 123. What is m(3)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**3 - 61*f**2 + 44*f + 20. Determine s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 21 (b) 0.02 (c) 0.4 (d) 79\/3 (e) -0.06 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*l = 3*w - 19, -l = -5*w + 23. Let a(k) = -4*k - 2. Let d(g) = -g**2 - 7*g - 4. Give w*a(c) - 3*d(c).\nAnswer: 3*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, p: 2, l: 4, d: 1, f: 5}. What is prob of picking 2 l and 2 p?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-28)*(-10)\/(-4). Suppose -s + 6 + j = 0. Put s, -3, -4, -6 in ascending order.\nAnswer: -6, -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 + -72. Suppose 4*i + 2*a = -d, 3*i + 4*a - 5 = -36. Let r be (-87)\/i + 2\/6. Solve 2*j = -0*j - r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 4*h + 3. Suppose -69*g + 74*g = 25. Give d(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000167086 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.6. Let p be (-7)\/((-223)\/(-8) + -1). Let f = -6\/43 + p. Do f and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4232\/575)\/23)\/(158\/2765).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 345886164 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d - 195 = -2*k, d - 75 = -4*k. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 1081000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 35578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 13*n**2 + 72*n - 10. Let g be h(8). Suppose 4*d - 2*m = -0*d + g, -172 = -3*d - m. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112102 (base 4) to base 14.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 29*s**2 - 7*s - 984. Let m be v(-28). Put 4, m, 891, -10, -3 in descending order.\nAnswer: 891, 4, -3, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1281 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34150 (base 7) to base 14\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 - 632*s**2\/5 + 9*s\/5 + 5688\/5.\nAnswer: -(s - 3)*(s + 3)*(s + 632)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 10.9984. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120 = -123*n - 505 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 0.1. Let f = 4.6 + 6.9. Let t = f + -11. What is the third smallest value in 1, t, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r + 0*r + 4*r + 4*r. Let q(c) = -3*c**2 + 2. Let g(k) = 4*k**2 - 3. Let z(f) = 4*g(f) + 6*q(f). Calculate z(n(b)).\nAnswer: -162*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -23. Suppose 0 = 4*q + m - 121, -3*m = 2*q - 4*m - 59. Suppose 5*x - 5*t = 3 - 8, -5*t = -x - 13. Solve x*w + b = -4*r, -r - 3*r - 5*w = q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mka when three letters picked without replacement from {k: 1, m: 2, a: 2, z: 1, f: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let k(q) = -q - 3. Let w be k(-6). Let i(x) = 2*x - w - 4*x + 3. What is l(i(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10064 - 6084. Calculate the common denominator of (7 - j\/576)\/(1\/20) and -41\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 + 5*n + 7. Let v(c) = c**2 + 1. Let r be 1 + 2\/((-6)\/(-3)). Let k be v(r). What is the remainder when 13 is divided by s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v - 5*r + 7, -2*v = 2*r - 10. Let p(m) = 10*m**2 - 5*m + 1. Let o be p(v). Solve 3*y = -2*g - 10, 0 = 5*y + 4*g + o - 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61873*d**2*t - 811*d**2 - 2532106*t - 14 wrt d?\nAnswer: -123746*d*t - 1622*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f - 8. Let c = -12 - -16. What is the smallest common multiple of (-10)\/5*f\/(-2) and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119\/85 - (-2)\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*m**3*u - 2*m**3 + 18*m**2*u - m*u - 220988*m - 7*u wrt u?\nAnswer: 8*m**3 + 18*m**2 - m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:57 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.1 - -15. Sort y, -3\/5, -0.4.\nAnswer: -3\/5, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose h - 20 = -0*x + 4*x, x + 12 = v*h. Let p(w) = w**2 - 6*w + w + 3 - h. Give p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {r: 1, a: 1, x: 2, d: 3, m: 1, f: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -469*f**2 - 39375*f + 1734. Give i(-84).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5 - 10*r**4 - 16*r**3 - 8*r**2.\nAnswer: -2*r**2*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/7*y - 40\/7 + 2\/7*y**2.\nAnswer: 2*(y - 20)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106291412 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -3 - 5) + 0. What is the second derivative of 46*n + 6*n**2 + 5*n + l*n - 2*n**3 wrt n?\nAnswer: -12*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/255 and 97\/199155.\nAnswer: 199155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11003110 (base 5) to base 7.\nAnswer: 541335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s. Let i(o) be the first derivative of -o**2\/2 + 1. Let n(g) = 7*i(g) - 2*l(g). Let h(b) = -2*b. Determine -h(w) + 5*n(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let c(w) = -72*w - 285. Let v be c(-4). Solve 0*n + 3*n = v*o + 18, 5*o = p*n - 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6147569?\nAnswer: 97, 63377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.4628762 to 1 dp.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -15846 at least as big as -15846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dded when four letters picked without replacement from {d: 13, e: 3}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (36\/(-27))\/((-96)\/(-2664)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.4 - 39.533. Let u = z - 2.367. Suppose 7*i - 6 = 4*i. Which is the second biggest value? (a) -0.1 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000625125 to five dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**7\/p)\/p*p*p)**(1\/6)*((p**22*p)\/p)\/(p**24*p) assuming p is positive.\nAnswer: p**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by (18\/16)\/(44\/1056).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5296*w**3 + 6*w**2 - 8*w + 2. List the prime factors of s(1).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*t - 28 = -y, 3*y + 3*t - 12 = 0. Let b be (-57)\/9 - (-2)\/y. Is 2\/(b\/(-27)) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 0*v + 0*v)*((2*v + 5 - 5)*(2 - 5 + 2) + 2*v - 4*v + v) + (0 + 0 + v)*(2 + 2*v - 2).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzfz when four letters picked without replacement from xfzzdlf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*m + 192, -3 = -4*x + 3*m + 132. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -23, 50, -30, -11, 2 in descending order.\nAnswer: 50, 2, 1, -11, -23, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59.94735 millennia?\nAnswer: 599.4735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*y - 45 + 26*y + 2)*(-42 - 10*y + 42) - y**2 + 1 - 1 as m*y + o*y**2 + l and give m.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/(-12) - (-3)\/(-4). Suppose -3*n - 2*i + p = 1, -2*n + 4*i = -28. Suppose -3*w - h = -75, n*w - 5*h + 9 = 109. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 2*t**2 - t**3 + 17 - 132*t**4 + 15 + 14 - 4*t**2 + t to the form y*t**4 + w + x*t + k*t**2 + b*t**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19\/17 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10)\/(-6)*(-1167)\/(-1945).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 20. Let q be c(6). Factor 0 - 2\/3*h - 2\/3*h**q.\nAnswer: -2*h*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91968, -183934, -275900, -367866, -459832, -551798?\nAnswer: -643764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-25))\/((-9)\/((-540)\/56)). Which is the third biggest value? (a) 4 (b) 8 (c) -1\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {u: 2, j: 1, t: 6, v: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + 169. Suppose l = 6*l + 4*z + 12, -3*z = -2*l + k. Solve -2*c - 5*j = 4, -2*j = 4*c - l + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 4, r: 4}. Give prob of sequence bb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 10030521129.71199?\nAnswer: 10030521126.71199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14678 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 13*a**2 - 8*a - 6. Suppose -38 = -4*i + 10. What is the tens digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 55\/(-33)*(10 - 148). What is the highest common factor of 20 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.9 - -14. Let f = -4.1 + j. Let h be -2 + 3 + 5\/(-6). What is the nearest to 0.1 in h, f, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238*a**5 - 34*a**3 + a**2 + 12034*a wrt a?\nAnswer: -14280*a**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3 + 3162*w**2 - 730227*w - 55844820 = 0.\nAnswer: -60, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uquuquuuqu. What is prob of picking 3 q and 1 u?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 7. Determine k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 62024?\nAnswer: 4775848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 283056676?\nAnswer: -283056676.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3167369, -3167368, -3167367, -3167366?\n\"Answer: x - 3167370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -2*z. Suppose -z*g - 1572 = 628. Round g to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42212 and 2422?\nAnswer: 295484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5221, -8834, -12445, -16054, -19661, -23266?\n\"Answer: c**2 - 3616*c - 1606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024501205 (base 6) in base 7?\nAnswer: 161223422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -17. Suppose 3*c - 4*t - 154 = 0, -3*t = -3*c - n*t + 169. What are the prime factors of c?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*b = -3544, -1757 = -12*q + 10*q + 5*b. Calculate the highest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 2 + sqrt(500)\/sqrt(90) - (sqrt(100) - (sqrt(100) + 6*-2*sqrt(100)))\/sqrt(2))**2.\nAnswer: -580*sqrt(2)\/3 + 42086\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 2385206.\nAnswer: 45318914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, r: 5, b: 1}. Give prob of sequence rbr.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024011 to seven decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, 10, 2, -2, -3, 3 in decreasing order.\nAnswer: 220, 10, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1630*r**3 + 15*r**2 - 6*r - 11. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 29. Let s be (2*(-1)\/(-2))\/((-5)\/10). Let r be ((0*1\/4)\/(-1))\/s. Solve r = -0*m - m + 2*t + w, 25 = 2*m - 3*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-14 + 15 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 + 67. Calculate the remainder when j is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 259, -1, 104, -14 in ascending order.\nAnswer: -14, -3, -1, 104, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o**3 - 10*o**3 + 2*o**3)*(0*o + 61*o + o)*(-1 - 3 + 3) to the form m*o**4 + u*o**3 + r*o**2 + g + n*o and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800*h = 803*h + 2*s - 8, 3*h - 3*s = 33. Let k(y) = 7*y + 3. Let q(v) = -20*v - 8. Determine h*q(d) + 17*k(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 17*d + 7. Let f(w) = 20*w - 4*w**2 - 2*w + 0 - 7 - 1. Let v(y) = 4*f(y) + 5*n(y). Does 13 divide v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/246 - 121\/1230. Put 0.26, d, 0, 1\/21 in decreasing order.\nAnswer: 0.26, 1\/21, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 6935\/528 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -176.4 (b) 4 (c) 4\/5 (d) -11 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2807?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -15. Suppose j*u + 5 - 19 = -3*i, -5*i + 2*u = -2. What are the prime factors of 2770\/50 - i\/5?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5575157454 + 4?\nAnswer: -5575157450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b + 1. Let x(k) = -2*k**3 - k - 5. What is 5*a(n) + x(n)?\nAnswer: 3*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) - 125216\/5590\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 21 = -11*u + 2. Do u and -1\/17366 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**24\/(z\/z**(-19\/5)) assuming z is positive.\nAnswer: z**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - -8) + (3 - (-5 + 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*y**2 + 4504*b**2*y - b**2 - 97908*y**2 with respect to b.\nAnswer: 6*b*y**2 + 9008*b*y - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1777*q*x**3 + 430*q*x**2 - 2*q*x wrt x?\nAnswer: -10662*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 22, 14, 0.5, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -92, -445, -1034, -1859?\n\"Answer: -118*m**2 + m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 188, 716, 1762, 3500?\n\"Answer: 29*w**3 - 2*w**2 - 13*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 412162, 824991, 1237822, 1650655, 2063490?\nAnswer: 2476327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 h when three letters picked without replacement from whhwwhhwhwwvwwhwwhww.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from cvvrife.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - -1b?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-374)\/(-12) + 1\/3. Let m = i + -31. Suppose 4*c - 3*j - 6 + 4 = 0, -3*c - 4*j = -14. Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 14*l + 32. What is c(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m**6 - 8*m**2 - 1\/4*m**4 - 1\/14*m**7 + 0*m + 0 + 0*m**5 + 0*m**3. What is the second derivative of h(f) wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 7*f - 9. Let a(y) be the third derivative of 3*y**5\/20 - 5*y**4\/8 + 19*y**3\/6 - 954*y**2. Give -6*a(g) - 13*i(g).\nAnswer: -2*g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**2 - 20*f - 60 = 0?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q**2. Suppose 0*p = -5*p. Let i be t(p). Let n be 1 + -4 + 5 + 0. Solve n*m + 2 + 8 = i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487626 is divided by 197.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -766 + 0*m + 2*m + 757 + 16*m**2 + (0*m**2 + m**2 + m**2)*(3 - 25 + 9) in the form h*m + g + d*m**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 17 + -15 + -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -22 + 61 - 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 160120*l - 3204801800.\nAnswer: -2*(l - 40030)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 16, y: 3, o: 1}. Give prob of sequence yfoy.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 10:26 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -764169650 divided by -5\nAnswer: 152833930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14, -2, -0.2, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**4*p**3 + 4992*k**4*p + 31*p**3 - 38*p wrt k.\nAnswer: -8*k**3*p**3 + 19968*k**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 5*q - 9*q**2 + 17*q + 8*q**2 + 12 + 11*q.\nAnswer: -q**2 + 20*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -179*x**3\/3 + 4399*x. Let k(j) = j**2. Determine c(k(p)).\nAnswer: -358*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 426181250 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1995 + -2000. Let u(s) be the first derivative of -2*s**2 - 1\/3*s**3 + s - 2. Determine u(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlnnnnlnnlnnln. Give prob of picking 2 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12122947 or 12122949?\nAnswer: 12122947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - o)*(-o**2 + 4*o**3 + o**2) + 4*o**4 + 50 - 50.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-1) + (-2023979)\/(-14561)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 387 = -4*y. Calculate the remainder when 84 is divided by y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 - 40 = 53*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyizyyyyi. Give prob of picking 1 i and 2 y.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*w - 5*v, 0 = -4*w + 3*v - 9 + 25 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 0 + 0\/(-8). Solve 0 = -3*n + p*j - 2 + 6, -3*n = -4*j + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8777824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8117*z + 51. Is c(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(171) + 2 - sqrt(171))**2 + 4)*3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7915 is divided by 86?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68369.48 millilitres to litres.\nAnswer: 68.36948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 32 + 61 - 4*m**2 - 32 - 11*m in the form b + v*m**2 + p*m and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -24073 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*b - 2*b + 17 = 0, -4*r - 8 = -3*b. Let i = r + -2. Let x = -1 - i. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 28*o + 103. Give h(-11).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17061101 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451313344, -451313341, -451313338, -451313335, -451313332, -451313329?\nAnswer: -451313326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*v + 45 = v - v, -24*v + 176 = -184 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 971 divided by 34\nAnswer: 971\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + b + 402, 0 = 4*b + 8. Let r be ((-68)\/8)\/((-28)\/(-168)). Let t = r + s. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 139*u - 2768. What is j(-58)?\nAnswer: 1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1020783, -2041497, -3062211, -4082925, -5103639, -6124353?\n\"Answer: -1020714*g - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867 is divided by 1028?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.209 + -1.2. Let j = 0.0513 + x. Let b = -0.06 + j. What is b rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {q: 1, g: 1, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, -206, -0.5, 31 in descending order.\nAnswer: 31, 2\/7, -0.5, -5, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -90171117, -180342234, -270513351, -360684468, -450855585?\n\"Answer: -90171117*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 24591*y + 3*y**2 + 24591*y - 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 n, and 1 r when four letters picked without replacement from njeeesjnssreejsnes?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9ba - -74b8?\nAnswer: 82b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/2)*d\/(d\/(d*d**(-1\/8)))*d assuming d is positive.\nAnswer: d**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -7*g + 2\/3*g**3 + 0 + 0*g**2. Let p(r) = 5*r**2. What is b(p(y))?\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 12 (b) 1\/150 (c) -0.8 (d) -1\/5 (e) 125 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -21*n + 10*n + 4 - 17*n + 0. Suppose -19 = 4*w - 11. Is c(w) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/(x*x**(-11)\/x))**(4\/27)*x**9\/x*x\/(((x\/x**2)\/x)\/x*x)*x**(-1\/2)*x*x\/x**(-5) assuming x is positive.\nAnswer: x**(9281\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -934 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -9626 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -26. Let h = i - 3. Let t be (-1150)\/920 + -35*9\/(-12). Calculate the highest common factor of t and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*c - 39, -5*c + b = -9*c + 27. Suppose 5*d = 3*d + 30. Suppose -d - 3 = -c*q. Let j(h) = h + 2. Give j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzh when three letters picked without replacement from dhwhwz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = 4*i. Let p(q) = 3*q**3 - 4 - 5 + 0*q**3 + 0 + 9*q**2. Let t(l) = l**3 + 2*l**2 - 2. Determine i*t(z) + 2*p(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1953413 - -9?\nAnswer: -1953404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.3 + -53.3. Which is the closest to -4? (a) -0.1 (b) z (c) -4 (d) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1\/((-5)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1360 divided by 20\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 240 = 5*r, 0*g = -3*r + 2*g + 134. What is the remainder when r is divided by 172\/14 + (-4)\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307681254?\nAnswer: 2, 3, 43, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*u - u = 0, 4 = 2*w + 2*u. Which is smaller: w or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 2, d: 7, u: 8}. Give prob of picking 1 d and 1 u.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 - 31286*m**5 - m**2 - 492*m - 14.\nAnswer: -240*m**3 - 1877160*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23912998841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 6*z - 8. Let h(s) be the second derivative of 4*s**3\/3 - s**2 - 65*s. Let c = 1 - 0. Let w be h(c). Determine t(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 1638?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1768 and 3848?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1468*b - 4682. Let a be h(-13). Calculate the greatest common divisor of a and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33381 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2908*f**5 - 1757*f**2 wrt f.\nAnswer: 174480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1713072, 1713091, 1713120, 1713165, 1713232?\n\"Answer: d**3 - d**2 + 15*d + 1713057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286938020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15000, -14999, -14998, -14997, -14996?\nAnswer: -14995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 325*w + 8 - 319*w + 4. Does 5 divide d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 92544*z - 2085*z**2 - 92750*z + 771*z**2 wrt z?\nAnswer: -2628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 18*d + 10*d - 2*d + 4*d)*(-154*d + 154*d - 62*d**2).\nAnswer: -1612*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from {o: 3, r: 1, g: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -31. Let d = -338 + 327. What is the remainder when t is divided by (-12)\/d*(-66)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -1 - (-5 - (12 + -11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from {q: 2, v: 1, m: 3, p: 2, l: 2, s: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and 17\/328.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-49 + -9 + 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 + 2*j + 8. Let h be g(-6). Let b(t) = -t**2 - 7*t - 6. Let f be b(-4). Let m = f + h. Solve 3*n - m = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 212985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3497238*m - 19468196 with respect to m.\nAnswer: -3497238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9095.784648 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 31*x + 69. What is the units digit of s(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -485.081 - -484. What is a rounded to 2 dps?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5.7. Let f = l + -0.299968. Round f to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3 = 2*k. Is k\/(-2 + (-155)\/(-77)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - (-69)\/9)\/((-4)\/6). Suppose -2*b + w + w = -110, -a*b = 5*w - 138. Calculate the remainder when b is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-1242))\/(((-104)\/(-1288))\/13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186975481 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 = -4. Let c = 2 - z. Let h(r) = -7*r**3 + 8*r**2 - 5*r - 1. Let u(y) = -8*y**3 + 9*y**2 - 6*y - 1. Let j(d) = -7*h(d) + 6*u(d). What is j(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivwixwcc. What is prob of picking 1 i, 1 x, and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 3130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 + -2 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/13))\/h**5)\/(h*((h\/(h*h**(2\/3)))\/h)\/h)**(1\/4) assuming h is positive.\nAnswer: h**(-583\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 230479 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 470 + 279. Let s = d + -746. Solve -r - s*r = 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57 + 14 - 27)*(1217 + 14*j - 1217) to d + b*j and give b.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1697449 - -0.1697. What is u rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1884 and 17\/48.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -164129098 divided by -6?\nAnswer: 82064549\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/560 and 9\/38887408.\nAnswer: 194437040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-275)\/(-330)*(-6)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2122, -4095, -6068, -8041, -10014?\n\"Answer: -1973*a - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9515 and 14905?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4490 by 10.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 7. Let x be o(3). Suppose 2*z - 1 = -x*y + 3, 2*z = 4. Suppose y = 2*a + 7 - 13. Solve -2*j + a - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -24*d - 6. Determine n(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -34*j + 2 - 7 + 37*j. Let v be b(5). Suppose -v*h + 8*h = -44. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4140 + -10?\nAnswer: 4130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*n - n**2 + 19*n**3 + 69*n + 2 - 32*n to f + c*n**3 + d*n**2 + b*n and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 + 9)\/4 - (0 - 5). Find the third derivative of 135*b**3 - 79*b**2 + 3*b**i - 4*b**4 - 177*b**3 wrt b.\nAnswer: -24*b - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1330*o - 1708.\nAnswer: 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1246 or 1245?\nAnswer: 1245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -2, 0, -14, 2\/5, 3.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259264142 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:56 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 4, q: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045139445 to 4 decimal places.\nAnswer: 0.0451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 95884.\nAnswer: 1\/47942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3751*c*d**2 - 3207*c*d wrt d.\nAnswer: 7502*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 9368571?\nAnswer: 9368570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17252 and 116451?\nAnswer: 465804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -831.7268 + 832. Round d to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110201 + 12?\nAnswer: 10110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 2, b: 2, r: 5, v: 1, g: 2}. Give prob of sequence mog.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -2\/15 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(3)*5)\/(sqrt(45)\/(sqrt(9) - (sqrt(225) + sqrt(9)))).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -18, -27, -50, -93, -162?\n\"Answer: -t**3 + 2*t**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2256.3307 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1692611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4293855 divided by -858771?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + 1.9. Sort -5, 1\/5, u in ascending order.\nAnswer: -5, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008702 to seven decimal places.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -46. Solve 3*y = -8*y - f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*a = 0, 0*m + 4*a + 12 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/5 - (-2)\/10. Let m(j) = -j**3 - 3*j**2 - 2*j - 1. Let v be m(z). Let s be 2*3\/(-2 + v). Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 + x**3 + 135.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -89. Let y = k + 3. What is the second biggest value in 3, y, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/3184 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1507, 1509, 1511, 1513?\n\"Answer: 2*j + 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Suppose -8 = 5*v - 4*d, h*v - 1 - 3 = 4*d. Suppose -4*l - 6 = -l. Which is the closest to 2\/9? (a) 3 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-20)\/(-120)*2\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h + 151. Give g(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 243?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19026187*j**2 + 1620*j + 846 wrt j.\nAnswer: 38052374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5035140.5 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10244, -6648, 3122, 22156, 53544, 100376, 165742?\nAnswer: 252732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/55*(-20)\/(-16)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10809 + i - 5406 - 5405. Calculate k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1988466 and 0.295.\nAnswer: -1988465.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -84\/13235461 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -804000.\nAnswer: 80400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 3)*11\/22. Let l(w) be the third derivative of -16\/3*w**3 - 27*w**2 + 0*w + 0*w**4 + 1\/35*w**7 + s - 4\/15*w**6 + 4\/5*w**5. Factor l(i).\nAnswer: 2*(i - 2)**3*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 222, 221, 220, 219, 218?\n\"Answer: -x + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16740\/486 - (36 + -2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 plus 36.751930491?\nAnswer: 41.351930491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 4, 688, 4\/7 in decreasing order.\nAnswer: 688, 4, 4\/7, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 + 3) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) -2\/11 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21390 = 200*q - 45*q. Put q, 1, -8 in descending order.\nAnswer: 1, -8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r - 2. Let k(m) = m**2 - 4*m - 1. Let t = 4315 + -4318. Determine t*w(u) + 2*k(u).\nAnswer: 2*u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3560*w**2 - 6943*w**2 - 2548*w**2 as p + n*w**2 + v*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (156\/78)\/(((-66)\/44)\/(3\/(-8)))*42\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1651, 1649, 1647?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 528*d**2 + 297*d + 1 wrt d.\nAnswer: 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-5)\/((-10)\/(-4))). Suppose -4*o + 44 = -4*d, 25*o - 28*o - 5*d - 39 = 0. Factor -1\/4*r**o - 1\/4*r + n.\nAnswer: -r*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 29*p**2 + 25*p**2 - 18*p**2. Let t(w) be the second derivative of w**4\/12 + 852*w. Determine k(t(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1*sqrt(637)*-2 - sqrt(637) - sqrt(637)) + (-2*1*sqrt(637) - sqrt(637)))*-6)**2.\nAnswer: 2352*sqrt(13) + 1123684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1196474 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3856 = -2*o + 3870, -m = -2*o + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -992.5 times 0.26\nAnswer: -258.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114937, -114944, -114951?\nAnswer: -114958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*z + 7. Let k be 28\/35*z\/(-3). Which is the nearest to 0.1? (a) 1 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -100056, -400478, -901174, -1602138, -2503364, -3604846, -4906578?\n\"Answer: w**3 - 100143*w**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139531763 to the power of 1\/2, to the nearest integer?\nAnswer: 11812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*g**2*y**2 - 3*g**2 - 3*g*y wrt y?\nAnswer: 166*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7123985.\nAnswer: 5, 11, 129527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (-2 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5208 + -0.0208. Let f = 2.1 + 0.9. Which is the closest to -1? (a) s (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*b - 221, 168 = 4*b - 4*w + w. Let o = b + -40. Suppose 5 + c**3 - 2*c + 9*c**3 - 9*c + c - o*c**4 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/18*(-1 + 0 - -1). Sort 4, 5, -5, w in increasing order.\nAnswer: -5, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24\/36*(-2 + 38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -90, -193, -334?\n\"Answer: -19*w**2 - 8*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 58 = -322. Let k = 51 - t. Calculate the greatest common divisor of 105 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 233700 or 233702?\nAnswer: 233702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*k = p - 95, 4*p - 3*k = 136. Suppose -41 = t - p. Which is the biggest value? (a) 0.2 (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8637810 and 520350?\nAnswer: 43189050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177482, -355124, -532792, -710498, -888254, -1066072?\nAnswer: -1243964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1. Let k(x) = -x - 8. What is 3*h(c) - k(c)?\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 4. Let q be j(6). Suppose -3*n = 5*g - 3 + q, -5*g = 20. Solve 2 = -n*m + 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.5. Let i = -2 + -1. Let m = 0 + i. What is the smallest value in m, d, 1\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43268275.\nAnswer: 5, 421, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 125 = -x, -5*x - 5*n - 290 = -935. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254315 (base 9) to base 10\nAnswer: -154076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 31) + 17 - (7 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3. Let w(b) = -4. Let q(y) = -3*t(y) + 2*w(y). Let x(i) = 3*i**2 + 3 + 0*i**2 - 5*i**2 - 2*i**3. Determine -3*q(v) + x(v).\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/13, -2\/41, -1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/134 and -64\/1285395.\nAnswer: 2570790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from rrggrgrr?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/2 + 1653*r**2.\nAnswer: 3*r**2*(r + 1102)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p. Let m(h) = -12*h**2 + 9*h - 9. Let a(o) = 6*o**2 - 4*o + 4. Let c(i) = -9*a(i) - 4*m(i). What is x(c(l))?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*x - 9 - 16 = 0, 1 = x. Does 3 divide (5\/k)\/(((-5)\/(-450))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*d + 17, -35*d - 18 = 3*q - 39*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1763, 1764, 1751, 1718, 1659, 1568?\n\"Answer: -m**3 - m**2 + 11*m + 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -31. Let p be -5 + 3 + 6 + o. Suppose -8*x + 7*x = -p. Solve r + 0*h = x*h, -3*r + h = 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000855645 to 7 decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 1068?\nAnswer: -149.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 + 154. Let n be (88\/z)\/11 - 34\/(-8). Calculate the highest common divisor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(1594*x**2 + 6364 - 6364) as w*x + u + h*x**2 and give h.\nAnswer: 1594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = 758. Let a(y) = -y + 5*y - 2*y + m - y. Is a(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {b: 1, a: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 8*h**2 + 10*h + 1. Let a be z(-9). Let o = 11 + a. Solve -o*l + 5*y + 4 = -27, y + 15 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4482563?\nAnswer: 1667, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 3. Let u = o + 4. Let a = 4 - 3. Is u < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.99 - 0.2.\nAnswer: -3.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8117321 or -8117320?\nAnswer: -8117321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 a factor of 61371543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -143*q**2. Let t(y) = y**2. Calculate j(t(b)).\nAnswer: -143*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 7 = -f - t, -5*f = 2*t - 133. Let w(u) = u**2 + 3*u - 8. Let a be w(-6). Calculate the highest common factor of f and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4 + -137)\/(-3))\/1. Let s = p + -11. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2453 - 2352.9. Let f = n - -21.9. Let c = 128.1 - f. What is c rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001994192 to five dps.\nAnswer: 0.00199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 171690?\nAnswer: 171690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -3)*(1 + 0). Let r be v\/(24\/(-33)) - 1. Let h = -13 + 18. Sort h, r, 0.2.\nAnswer: 0.2, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*60\/(-6)*4\/(-40)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22, 3, 2, -10.4, -5, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/11211152 and 115\/6408.\nAnswer: 100900368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 786*u**2 - 1551*u - 768. Let w(x) = 6*x**3 + 1571*x**2 + 3101*x + 1536. Let j(i) = 23*c(i) + 12*w(i). Find a, given that j(a) = 0.\nAnswer: -256, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 4430.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 7*b**2 + 5*b - 32. Let s be d(7). Solve -g - s = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82761 (base 15) to base 2.\nAnswer: -1100100111011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 14 = -3*d, 4*d + 5*x + 1 - 8 = 0. Suppose -5*y = -2*y, 15 = d*m + 3*y. Solve -n + 8 = 4*s, 0*s = -m*n + 3*s - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**2. Let w(i) = -519*i - 3. Let f(b) = 962*b + 5. Let y(g) = -4*f(g) - 7*w(g). Calculate y(x(q)).\nAnswer: 1505*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**0*u)**33*u**6\/((u**(-2\/11)*u)\/u) assuming u is positive.\nAnswer: u**(1157\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10982, 11016, 11050?\nAnswer: 11084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -122?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -372 + 329.5. Let w = -39.5 - c. Which is greater: w or -3\/34?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (45 + -15 + -6)) + 1 + 5 - -46.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2231 = m + 2*l, 3*m - 52*l = -50*l + 6693. What is the greatest common factor of m and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 <= -16996053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 428387.\nAnswer: -428387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -720\/79 and -2\/661 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7718, -17324, -26930?\n\"Answer: -9606*a + 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = -4*v - v, 2*l + 3*v - 8 = 0. Let z be 4\/1 - (l + -2). Let n = z - -2. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p - 4*p - 23*p = -6 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**3\/3 + y. Let f = 7 + -5. Let s(p) = -p**f - 1 + 1 + 0. Give s(h(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-14))**16*(b**(-7)*b)**(-11\/2))**(10\/3) assuming b is positive.\nAnswer: b**(-1910\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:41 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(98) + 1 - ((sqrt(98) + 1)**2 + 5).\nAnswer: -100 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 2868948893.104.\nAnswer: -2868948892.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707560971 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (6 + -33)) + (-1 - -16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17732, 17730, 17738, 17762, 17808, 17882?\nAnswer: 17990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/4 + 1 + 2. Suppose -42 = -c*m + 33. Let d = m - 7. Solve d = -a - 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7 + (-4)\/(-10))*20\/(-12)*282.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 11670578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289615621?\nAnswer: 17, 43, 149, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5097 divided by 3.\nAnswer: -1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/41, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24 and 60.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -w + 88, -35 - 53 = -w + 5*l. Let k = w + -88. Suppose -3*f + f = -4*x + 8, -4*f = -x - 5. Solve -4*n - f = -h + 15, k = -n + 2*h - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 992 = 2*w - 5*z, 0 = 3*w + 5*z - 1475. Suppose 31*q = 219 + 1176. Calculate the highest common factor of q and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + f**2 + f**3 - 3*f - 6 - 8*f + 5*f. Let h be u(-5). Let v = h + 209. List the prime factors of v.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000341582 to six decimal places.\nAnswer: 0.000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40646621*a**4 + 23232446*a**2 wrt a.\nAnswer: -975518904*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 2 e when four letters picked without replacement from {b: 1, f: 1, y: 3, e: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/1*27\/54.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 472145 - 681210. Let a = -61435 + f. Round a to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 4. Suppose l + 42 = -2*l. Let j(z) = 7*z - 3. Let c be j(1). Let o be l\/c - (-3)\/6. Give w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x - 3*z = -68*x + 40, 5*z = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 9 + (4 + -21 - (-15 + 10))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-21))\/((-1)\/(-18)). Let z be (-2)\/(-24) - l\/8. Let h = 0.4 - 0.3. What is the nearest to h in 5, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5 - (-49)\/(-70). Which is the closest to x? (a) -0.4 (b) 2\/13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 12*s**2 + 10*s - 15. Let f be y(-11). Let i(q) = q**3 + 5*q**2 + 2*q + 2. Let l be i(f). Is (-534)\/(-10) - 4\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/48810 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -33240131422?\nAnswer: -33240131414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2635 - -7789. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + v + 0*v = 14, 0 = 5*o + 3*v - 33. Let f be (-57)\/(-7) + o\/(-63). Suppose f = 5*j - b - 87, -20 = -4*b. Solve -j = x + 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3487*l + 3488*l - 3*h = -20, 41*h - 180 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 2043 = -5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 21. Let t(r) = -2*r**3 + 19*r**2 - 34*r + 87. Let s be t(8). Give g(s).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/90*185\/12 - 6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**4\/5 + 265082488*o**3\/5 - 5855728003963872*o**2\/5 + 43118114430193934632576*o\/5 - 86236111745880806477312 = 0.\nAnswer: 10, 22090204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 2*m. Let n(h) be the second derivative of -2*h**5\/5 - h**4\/4 - h**3\/6 + h**2\/2 + 230*h. Is n(m) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1194502134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d - 72. Give q(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 + n. Let j be t(-1). Let o(a) = -a**2 - 8*a - 3. Let z be o(j). Suppose -69 = -z*f + f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 - x**2 + 4*x**2)*(-x + 3*x**3 + x) + (-6*x + 2*x + 3*x)*(5*x**4 - 2*x**4 - 2*x**4).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14665124 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2063*m**2 - 1032*m**2 - 1028*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {w: 3, i: 1, z: 8, c: 3, l: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2247 = -166*t - 1433 - 4288 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2. Let m be (-70)\/(-9) - (-14)\/63. Let s be m\/(-10)*(-35)\/1. Let j(p) = 18*p + s*p - 9*p. What is t(j(o))?\nAnswer: 2738*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*z + 13. Suppose -v + 6*v - 3*p - 4 = 0, z*p = 6. Solve -l = -1 - v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -78, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -5, 50\/29, -1.2?\nAnswer: 50\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -10. Let t = 11 + s. Determine w, given that 3*w**2 - w**2 + 0*w + t*w = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461451343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 0*w + 16*w)*(-2 + 1 - 1)*(-2 + 2 - 3*w) in the form u*w + x + p*w**2 and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -43. Let t(i) = -i**3 + 6*i**2 - 5*i + 1. Let p be t(5). What is the common denominator of -4 and p\/4 - l\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65 + 34*c + 2*c**2 - 94 - 95 - 104 + 8.\nAnswer: 2*(c - 5)*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -693 - -2102. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -4454.23 (c) -4 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 8*u + 4. Let n be m(-9). Let t be 62\/10 - (-1)\/n. Suppose 4*f = t - 58. Are f and -13 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + -0.035.\nAnswer: -48.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -4*b + s, 2*b = 8*s - 7*s + 107. Let y = b + -57. Let a(w) = -4*w - 2. What is a(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 9) + (24 - (-6 - -2) - (5 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 55*m**4 - 2355*m**3 - 127645*m**2 - 382005*m - 65250 = 0.\nAnswer: -29, -3, -2\/11, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 (base 12) in base 15?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35109\/6*(-144)\/(-108)?\nAnswer: 2, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(77) + 3*sqrt(77) + sqrt(77))*5)\/(sqrt(252) - (sqrt(252) - (sqrt(252) - (2*(sqrt(252)*-4 - sqrt(252)) - sqrt(252))))) + -4)**2.\nAnswer: 25*sqrt(11)\/9 + 89819\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 5*a**2 + 5*a + 1. Let m be y(-6). Suppose 3*b - m*b = -52. What is the second derivative of -58 - b*l**5 + 58 + 8*l wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.0704 - -1093547\nAnswer: 1093542.9296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3 + 1791184*b**2 - 3582380*b + 1791192 = 0. What is b?\nAnswer: -447798, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 19*s + 16*s + 2, 4*s - 6 = -3*a. Solve -15 = m + a*k - 5*k, -2*m + 5*k - 25 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/132)\/((-6)\/428) and (3\/207*2)\/(320\/9960).\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a + 4*a - 2*a)*(-2 - 1 + 1) - 4*a + 13 - 4 - 11)*(-1 - 2*a + 1).\nAnswer: 16*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 4)*(9 + 4 - 2) + 6 + 0 - 4)*(-3 + 2 - 1 + 2*o**4)*(6 + 1 + 34) as f*o**3 + x*o**2 + s + j*o + z*o**4 and give z.\nAnswer: -1640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {e: 2, i: 3, f: 1, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 8:36 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, r: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*3*sqrt(170)*-2)\/(sqrt(50)\/(sqrt(5) + -3*1*sqrt(5))))**2*5.\nAnswer: 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*q + 5 = 0, 8 + 5 = -4*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**5 + 14*t**4 - 8*t**3 - 15*t + 529 wrt t.\nAnswer: 20*t**3 + 168*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -22. What is the smallest common multiple of z and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 24.9.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3691, 15008, 33871, 60280, 94235, 135736, 184783?\n\"Answer: 3773*a**2 - 2*a - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -u, 0 = -2*t + 3 - 9. Sort u, 1, 0.4 in descending order.\nAnswer: 1, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 15 + 326 = 41. Sort 4, p, 26, 1 in descending order.\nAnswer: 26, 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2223.2 - -2223. Sort 6, 0.1, 4, l, -0.02 in increasing order.\nAnswer: l, -0.02, 0.1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-6 - -2) + (2 - -6) + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13857)\/36952 + -2 + (-2286)\/(-976)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 7:03 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 8*h - 11. Let j = 123 - 132. What is the units digit of d(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9949\/7 + 1421. Which is bigger: -37.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0*h + h + (1 - 1 - 2)*(3 - 3 + h) - h + 2*h + 5*h)*(1 - 3 + 4)*(2*h**2 + 5*h - 5*h) as r + c*h**3 + y*h**2 + w*h and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670*u - 143601880 - 707117351 = 31*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*t**5 + t + 79*t**5 + 149*t**5 + 2164*t**2 + 27*t**4 + 15*t**4 + 2*t**3 - 445*t**2 wrt t.\nAnswer: 1680*t**2 + 1008*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-22\/5)*g)**(13\/3))**(-10) assuming g is positive.\nAnswer: g**(442\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4 - 32*h**3 - 8712*h**2 + 173088*h + 181764 = 0.\nAnswer: -51, -1, 27, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1045*d + 11508. Calculate h(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43512 and 392.\nAnswer: 43512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o - 882 = 0. Let z = -693 - o. Let b be z\/(-16) - 2\/(-8). Calculate the highest common factor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915974479?\nAnswer: 7, 37, 71, 49811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*d*d\/d**(3\/10)*d)\/d)*d**(-2\/17)*d)\/(d**(1\/7)\/(d*d**(-3))) assuming d is positive.\nAnswer: d**(-4713\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*y + 73*y - 6*i = 15, 5*i - 40 = -5*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 + d. Let z be m(-1). What is the units digit of (-2 - z\/(-8))*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 14.1, 0.3, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-352)\/(-11))*408\/(-2006)\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*p**3 + 51*p**3 - 3*p**3.\nAnswer: 162*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 + 205*w + 15. Calculate b(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, i: 9}. What is prob of sequence kkk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**33*a\/a**(4\/5) assuming a is positive.\nAnswer: a**(166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110778 is divided by 27694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 30652 (b) -2\/21 (c) 3 (d) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.797053 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*n**2 + 246*n**2 - 90*n**2 - 121*n**2.\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s + 6. Let z be 204\/(-33) + (-4)\/(-22). Let u(r) = r. Give z*u(v) - n(v).\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 424. Let u be (z\/4)\/((-6)\/(-12)). Suppose -4*h + u + 19 = 0. Calculate the remainder when 71 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1475 - -1516. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303130405 (base 6) to base 3.\nAnswer: 100202201012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 11*t + 2*t + 2*t.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4833072*y**4 + 3805179*y**2 wrt y?\nAnswer: -115993728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32016 in -2, -0.2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 14375 (base 13) in base 12?\nAnswer: 19b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (21\/231)\/(2\/4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5924475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/9)\/(j*(j\/j**(-3\/10))\/j*j)*j**(-1\/12)\/(j\/(j\/j**(2\/11))) assuming j is positive.\nAnswer: j**(-5959\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 637, 4, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 502 and (36\/27)\/(4\/144*1)?\nAnswer: 12048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168 + -277 - (-97 + -43).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7895 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*n - 3228, 0*n = 3*n - 12. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 + 2*w + 175. Let z be f(0). Let l be 5 + (-65143)\/(((-5)\/z)\/(-1)). Round l to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from swwgwwgdwsssd?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9472499 - 8.\nAnswer: 9472491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-1))\/(-32) + 52\/(-96) + 0. Let h = 5.7 + -6.7. What is the second smallest value in z, -0.5, h, 1.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -508, -975, -1396, -1759, -2052?\nAnswer: -2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = -1412. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3204 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let h = w - 3. Let g = h - -0.1. Round g to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74858, 74879, 74900, 74921, 74942?\n\"Answer: 21*z + 74837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246676 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 263 = 27*b + 9*b. Solve b*n - 7*n = 3, 0 = -4*c + 5*n + 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/3 + 430*u**2\/3 + 2*u\/3 - 430\/3 = 0.\nAnswer: -1, 1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 14019.3 and -8.980791.\nAnswer: 14010.319209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2691, 4\/5, 9602 in increasing order.\nAnswer: 4\/5, 2691, 9602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 12 = -7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0 - 0) + (-4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323129 - 221862. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203\/3 + -67. Let o = 40\/3 + -13. Which is the closest to m? (a) -1 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5362 - 3646. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031729 to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + q**2 + 3*q + 4. Let t be l(-2). Suppose t*m + 180 = 13*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31992+183016.02\nAnswer: 215008.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11923*b**3 - 25*b**2 - 2*b + 257417.\nAnswer: 71538*b - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1782, -3522, -5262, -7002, -8742?\nAnswer: -10482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 209 - 114 - 106. Let v be (1 - 1 - 1)*0. Suppose v = -3*i - 2*i. Determine y(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/(-450)*(-2 - 0\/1). Let h = 1\/12 + -1\/3. Suppose 2*v - 7*v = -u - 12, 0 = -5*v + 4*u + 18. What is the closest to h in b, 3, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k\/(k*k**(13\/5)\/k))\/(k\/(k**6\/k)*(k**2*k)\/k) assuming k is positive.\nAnswer: k**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -2*h + s + 6 = 3*s, -3 = h - j*s. Suppose 3*c - 5 - 4 = 0. Calculate the lowest common multiple of h and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 29.86\nAnswer: -328.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/295386?\nAnswer: 1\/295386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 4. Let r(i) = 6*i + 5. Let z(q) = q + 58. Let o be z(-35). Suppose 4*w - o + 11 = -5*m, -3*w = 4*m - 9. Calculate w*j(t) - 2*r(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47\/21 + 5\/3. Let n = -18.5 + 19. Let x = n + -0.8. Which is the smallest value? (a) x (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020202 (base 3) to base 2.\nAnswer: -11001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.1755 + -8.2755. Let g be (-8)\/12 - 34\/(-6). Let n be g\/(-2)*(-2)\/1. Sort p, n, 4.\nAnswer: p, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 13*u - 34. Give j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -17*a + 14*a + 25, -a - 13 = -4*h. Solve -h = -4*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2)\/o)**(26\/7)\/(o**1)**(3\/10))\/(((o**(-4\/9)*o)\/o*o)\/o**(-5))**(1\/4) assuming o is positive.\nAnswer: o**(-2287\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2470\/(-35))\/13 - (-6)\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/6)\/(w*w**(-22)) assuming w is positive.\nAnswer: w**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -295. Is k a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 404044 and 10?\nAnswer: 2020220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -477, -478, -479, -480, -481, -482?\n\"Answer: -z - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q - 195 = 0. What is the greatest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24757 + 24996. Solve 0 = 66*d - y + 767 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*(z\/z**(2\/11))\/z*(z**(-1\/3))**(-45))\/((z**(-1\/4))**(-2)\/(((z**(-1)\/z)\/z*z)\/z*z*((z\/(z*z\/(z**0*z)))\/z)\/z*z*z)) assuming z is positive.\nAnswer: z**(161\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 10*d + 2. Let i = -2 - -12. Let v be y(i). What is the units digit of (-1)\/v*-2*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**7\/420 + t**6\/15 + 23*t**5\/60 - 3*t**4 + 27*t**3\/4 - 150*t**2. What is m in a(m) = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 + 1. Let k be (2\/2 + 2)\/(-1). Let s(f) = -11 - 7*f**2 + 14 + 4*f**3 + 4*f**2. Give k*n(j) + s(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -31. Let g = 24 - y. List the prime factors of (g\/15)\/((-2)\/(-78)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24.89, 4\/11, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 17*f**4 + 3*f**3 - 6*f**2 + 1119. What is the third derivative of r(u) wrt u?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154000755*w - 686690217 with respect to w.\nAnswer: -154000755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226184 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 21*j + 41*j - 731960 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t**2 - 15. Let q(f) = f**3 - 20*f**2 + 20*f - 4. Let x be q(19). Let i(o) = -1. What is x*i(c) - h(c)?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1075304060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 5 (c) -5 (d) 0.3 (e) 0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 (base 10) in base 14?\nAnswer: -4d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -12. Let a be 1\/(3\/(-3) - -2). Calculate the remainder when (a - i)\/(0 + 1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1341 divide 340757487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112056 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 15. List the prime factors of (-175)\/(-21) - (-2)\/l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20481, -20508, -20553, -20616, -20697?\n\"Answer: -9*b**2 - 20472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5700000 = -11*g - 4*g. Round g to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 + 200*b**2 + 1180*b - 13200 = 0.\nAnswer: -10, 6, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -345 + 279?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 - 0)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2 + 10, -4*z + 5*q + 1222 = 0. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*t + 8966 - 8752 = -821*t + 43295 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 17\/4, 4, 93, -3, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-115) + 0)\/(((-210)\/(-770))\/(90\/66))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 18994*p + 151883. Determine n(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0 + 3 + 22*y**2 - 5 - 11*y. Let x be m(6). Suppose 2*s = -0*s, 0 = 4*w - 3*s - x. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:43 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - j)*(-109*j**4 + 38*j**2 + 57*j**4 + 51*j**4 + (0*j**3 + 5*j**3 - 3*j**3)*(6 - 3*j - 6) + j**4 - 2 + 2).\nAnswer: -6*j**5 + 38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -783000 rounded to the nearest 10000?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 80*x - 60. What is the remainder when p(41) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x**2 - 11*x - 11. Let y(t) = -7*t**2 + 6*t + 6. Let n(d) = 6*v(d) + 11*y(d). Let f(i) be the second derivative of -i**4\/3 + 2*i. Give f(n(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3273\/(-2182)*-440*(-2)\/(-6). What is the greatest common factor of g and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12695 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 542785.0994.\nAnswer: 542785.1994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Suppose -w + q + 4 = 0. What is the lowest common multiple of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -94*g**3 - 12*g**2 - 36*g - 67. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25970951 to the power of 1\/2, to the nearest integer?\nAnswer: 5096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*u - 48 - 15, 2*w + 2*u - 46 = 0. Let l = 16 - w. Let v be (-45)\/10*32\/l. Calculate the greatest common factor of 120 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) -2\/15 (b) 3\/8 (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.9166 + 9.9166. Let o = 2.43 + 0.07. Let u = -2 + o. What is the second biggest value in -2, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193.0382 + 193. Round s to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + d**2 + 5*d**2 + 4*d**2 to a*d**2 + t*d + h and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + q - 75 = 0, 3*l + 1071 = -3*q + 1086 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 904435298*y**3 + 904435336*y**3 + y.\nAnswer: 38*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5146076 to the nearest integer?\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 4*m. Let r be j(0). Solve r*c - 5*c - 4*t - 17 = 0, -2*c - t = 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*99.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106391*y**3 + 565986 with respect to y.\nAnswer: -319173*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) 3\/55 (c) -0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6*p**4 - 4)*(-4 + 3 + 4).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -9997?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2 + 2 + (-j - 2*j + j)*(-3 + 1 + 1) + 2 + 3*j - 2 + (-7*j + 0*j - 7*j)*(3 - 4 + 5).\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32201 - 12301?\nAnswer: -111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446218027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 337 = 55. 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: What is the second derivative of 11*p**5 - 38721*p**4 + 1089*p - 279?\nAnswer: 220*p**3 - 464652*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslssslsdbddb. Give prob of picking 1 s and 1 l.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(243\/(-18))*(-6)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 4*m - 1. Let v be o(-5). Suppose 13 = v*y - 7. Suppose 112*a + 49*a + 114*a = 4125. Calculate the highest common divisor of a and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 24 = -0*d. Suppose o = -d + 54. Suppose 65 = 8*x - 7*x + 5*z, -2*x - 4*z + 100 = 0. Which is greater: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 72 = 5*a, a - 2*d = 3*d - 8. Suppose -x - a = -5*x. Is (-3 + 0)\/x - -7 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*l**2 + 2*l**3 - 50*l**2 + 90*l**2 - 1 in the form y*l + r*l**2 + j + g*l**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*m - 254*m = 45936. Is m a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -79*u**4 - 5*u**3 - 2*u + 131. Let o(l) = 79*l**4 + 4*l**3 + 2*l - 130. Let w(f) = -4*j(f) - 5*o(f). What is the first derivative of w(k) wrt k?\nAnswer: -316*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314388\/103 smaller than 3053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093753 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/114 and -59\/1023.\nAnswer: 38874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 26*j**2 - 25*j - 20. Let i be b(27). Suppose -8 + i = 13*n. Solve -5*t - 3*p + p = 2, n*p = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*q - 1207*q + 401*q + 385*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-16))\/((-36)\/32*-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 2, 171, 5\/2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 18017*b - 18017*b - 5*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-623)\/178 + 138\/12 - 164\/22.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73573.38l in millilitres?\nAnswer: 73573380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2657*y**2 + 22*y + 17. Let z(a) = 665*a**2 - 5*a - 4. What is 3*f(k) + 13*z(k)?\nAnswer: 674*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - s**5 + 4*s**5 + (-28*s**2 + 4*s**4 + 28*s**2)*(s - 3*s + s).\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -188. Suppose 0 = 2*f - 3*v + 211, 0*v = -3*f + 2*v - 319. Let q = f - h. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrrttrtrr. Give prob of sequence rt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16063674.\nAnswer: 2, 3, 11, 17, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0739 plus 1984565?\nAnswer: 1984565.0739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1705 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/7)*m**(-1\/12)*m*m\/((m*m**(2\/7))\/m)*m*m\/(m\/m**(2\/19)) assuming m is positive.\nAnswer: m**(3683\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3225*w + 9957. Give j(3).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-117)*9\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - j + 2. Let q(w) = -16*w**2. What is -f(t) + q(t)?\nAnswer: -15*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 9*b**2 - 24)*(-b - b + 6*b)*(-8 - 1 - 25) to the form z*b**3 + o*b**2 + c*b + k and give z.\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3744 and 2688.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 16*p - 52. Suppose -5*q + 4*v + 2 = 7, 2*q = -5*v - 35. Does 2 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**3 - 156*b**2 + 555*b - 600.\nAnswer: 3*(b - 8)*(2*b - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**2. Let x(a) = -a + 1. Let s(j) = -121*j + 96. Let l(n) = 485*n - 381. Let g(r) = 2*l(r) + 9*s(r). Let o(b) = -g(b) + 102*x(b). Give h(o(d)).\nAnswer: 3468*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let g(q) = q. Let f(o) = -5*o - 38. Let i(c) = -f(c) - 6*g(c). Is i(y) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15672, -15673, -15674, -15675, -15676, -15677?\nAnswer: -15678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471534*p - 1 - 2*p**3 + 107*p**4 - 471534*p to the form r*p**4 + g*p + m + n*p**2 + t*p**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 (base 12) in base 10?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*l**(-1\/2))\/(l**(1\/3)\/l)**(1\/81) assuming l is positive.\nAnswer: l**(-235\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-360)*(-6 - -8)*-1. Let x(y) be the second derivative of 4*y - 2\/5*y**2 + 0 + 1\/15*y**3 + u*y**4. What is q in x(q) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 14 - (31 - 11) - 43.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (740\/8)\/(292\/25). Let c = -88\/73 - m. What is the common denominator of c and -5\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163810959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Find the second derivative of -2*c**j - 2*c + c - 2*c + 4*c wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 + 4*u. Let f(r) = -8*r**2 - 7*r. Let x(h) = 4*f(h) + 7*k(h). Let q(n) = -2*n. Calculate q(x(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3059*r - 3057*r + 3 = 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/34*(-56)\/(-770).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 2)*(1 - 2 + 2) + 4 - 1 - 1 + 3 - 3 + 3)*(2*g - 3*g - 5*g).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 64. Let s = n - -12. Suppose x - f - f = 84, 5*x + s*f - 375 = 0. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i + 1630. Let t(c) = -6*c - 815. Calculate 5*t(n) + 2*u(n).\nAnswer: -2*n - 815","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 8) + -38 + 0 + 0 + (125 - 124)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4011 + 4010. What is the nearest to 85 in -0.3, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*q**3*s + 14*n**3*q**3 - 5*n**3*s - 35*n**2*q**2 - 27*n*q**3*s + 12*n*s wrt n.\nAnswer: 12*q**3*s + 84*q**3 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.5 - 30. Let m = y - 6. Which is the third biggest value? (a) -3 (b) m (c) -2 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {y: 1, f: 2, c: 10, z: 4, l: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3 - 2 - 669*o - 8 - 34*o - 641*o.\nAnswer: -1344*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65062940 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*w = -167 + 155 + 978. Let d be -2 - (-2 + -1 + -3). Solve -w = d*z - 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9704630 and 494?\nAnswer: 9704630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + c)*(c**3 - 2*c**3 - c**3) + 117*c - 12*c**4 - 117*c.\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 71, 101, 129, 155, 179?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - c**3 + c**3)*(1 + c - 1) + c**3 + 19*c**4 + c**3 - 26 + 25.\nAnswer: 17*c**4 + 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2388 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/44 - 1470\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 - 652 + 572*q**3 - 346*q**3.\nAnswer: 226*q**3 - 1009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93940 and 3?\nAnswer: 281820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(52))*5 + (-2*sqrt(39))\/sqrt(3).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.5366t to nanograms.\nAnswer: 91536600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -53*d**2 + 3*d - 4. What is u(1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:45 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - n = -2*t + 10, 0 = 3*t - n - 26. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 23. Which is the nearest to k? (a) 2 (b) 0.03 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13199577, -26399152, -39598729, -52798308, -65997889, -79197472, -92397057?\n\"Answer: -r**2 - 13199572*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80264 smaller than 80249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19528, -1, 1, -3 in decreasing order.\nAnswer: 1, -1, -3, -19528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x + x)*(-1139*x**2 + 3920*x**2 - 1256*x**2) - x - x**3 + x**2 + x.\nAnswer: 3049*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u - 216. Suppose -u + 27 = 5*j. Let m be 3\/j - 0\/2. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 - 101?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111 - 82) + (-11 - 48).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14977706 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y**5 - 35*y**4 - 10*y**3 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-688610)\/72)*-2. Let g = n - -19127. Let k = -2119\/3266 - 45\/71. Find the common denominator of k and g.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/3 + 28*c\/3 - 26\/3 = 0. Calculate c.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12)\/d)\/(d**6*d)*(d\/d**(2\/7))**(-2) assuming d is positive.\nAnswer: d**(-799\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 3*w - 7*w + (-1 - 3 + 2)*(-w - 1 + 1) + w - 4*w + w + (3249 + 3242 - 88*w - 6491)*(23 + 3 + 36).\nAnswer: -5457*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/13)*u**4*u*u*u*u\/u**(-6\/7)*u**(-2\/3)\/u assuming u is positive.\nAnswer: u**(1984\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4682436 and 2052?\nAnswer: 42141924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*o**2 + 1\/5*o**3 + 3\/5*o + 0 = 0. Calculate o.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 10*r + 36*r**2 + 7\/2*r**3 = 0. What is r?\nAnswer: -10, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24736 - -41747. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 b when four letters picked without replacement from bzbbbhzbzzhz.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-299)\/26 + 2 + 9. What is the third biggest value in 0, 0.19, l, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 - 45 = -4*c. Let s = 250 - c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16063 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 20983*t - 9229561. Let u(k) = -3498*k - 1538260. Let d(z) = 2*s(z) - 13*u(z). Let d(n) = 0. What is n?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1398 + 1401. Solve 0 = -t*j + 8*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 5*o + 2. Let x be r(-6). Suppose 2*p = -3*b + x*b - 140, 0 = -4*b - p + 112. What is the remainder when b is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*-2)\/sqrt(12) - 6*sqrt(720))\/(-2*sqrt(1296)*3).\nAnswer: 13*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjm. Give prob of picking 2 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 1\/6, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0*n + 0*n**4 + 1\/60*n**5 + 0*n**3 + 5*n**2 + 0. Let k(d) = 3*d**2 - d. Calculate m(k(p)).\nAnswer: 9*p**4 - 6*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -386 and 94398.\nAnswer: -36437628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a\/a**(-7)*a)**1*((a\/a**(-2\/3))**(30\/11))**(-3) assuming a is positive.\nAnswer: a**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.78 + 0.62. Let j = -141.12 - -128.92. Let z = n + j. Which is greater: z or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 + -13 + (3 - 1 - -12) + -3 + -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -612 or -618?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2840.223 meters in millimeters?\nAnswer: 2840223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18))\/((-1)\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58329315 and 66825.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 4:28 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775640.6 grams to micrograms.\nAnswer: 775640600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178 + -175. Calculate the remainder when 111 is divided by (-1 + i)\/2 + 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232713101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0526 * -5414\nAnswer: 284.7764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/80*5 - (-2)\/152*-11\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.121 - 29.1. Let v = 0.02100424 - b. What is v rounded to seven dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3645 (base 9) in base 3?\nAnswer: 10201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 0*c**3 - 4*c**3 + (-c**2 + c**2 + c**2)*(1 - 1 + 2*c) + c**3 - 3*c**2 + 3*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23638025141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112690582 to the nearest integer?\nAnswer: 10616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*x**2 + 254*x + 25125.\nAnswer: 68*x + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 106365*u**2. Let v(m) = 2*m**2. Calculate v(l(w)).\nAnswer: 22627026450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l, -5*a + 4*l + 297 + 312 = 0. Let j be (-67)\/(-16) + 11\/(a\/(-44)). Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 145\/6, -0.3, 4, 82\/7, -0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 46341672*y - 92683360 = 0. Calculate y.\nAnswer: -11585420, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 19*z**2 - 18*z + 2. Suppose -5*j - 87 = 3*l, j + 5*l = -2*j - 49. Determine y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -9 + -2 + (-2 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 23*h. Let d(j) = -j**2 + 18*j. Calculate -4*d(s) + 3*i(s).\nAnswer: -2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/909929 and 87\/478910.\nAnswer: 9099290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-66)*55\/10\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 r when three letters picked without replacement from iirrrriiriiraai?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 178 + -175. Let k(g) be the first derivative of -2\/3*g**c - g**2 - 2 + 0*g + 3\/8*g**4. Factor k(r).\nAnswer: r*(r - 2)*(3*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2849*v**2 + 14*v - 29. Let i(m) = -949*m**2 - 6*m + 10. Let n(j) = -7*i(j) - 2*t(j). Find the second derivative of n(r) wrt r.\nAnswer: -12*r + 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14*k = 230. Calculate the remainder when 549 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = a - 58, 4*o = -3*a + 29 + 148. Suppose a = 4*i - z, 12*z - 10*z = 2. Solve -i*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 46 = -8*x, -o + 1943536 = 5*x + 1943559 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:11 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((4 - (5 + 2)) + 17 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11772 is divided by 2937?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21629960 divided by 88.\nAnswer: -245795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 6:46 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0948 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3338791 and 2.363.\nAnswer: -3338788.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 966 = -78*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10672595, 10672603, 10672617, 10672637?\nAnswer: 10672663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**2\/5 + 2991*z\/5 + 747\/5.\nAnswer: 3*(z + 249)*(4*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 4*l**2 + 8*l + 10. Suppose 8 = -9*q + 7*q. Let w be h(q). Is w at most -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:55 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010011000100000100111 + -101?\nAnswer: -11000010011000100000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/15, -108.7, 1\/630 in decreasing order.\nAnswer: 3, 2\/15, 1\/630, -108.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*i = -185*i - 186*i - 5*h + 44, 0 = -2*i + 4*h for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3890 and 399310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + c**2 - 9*c**3 + 3 + c + 3*c**3 in the form j*c + p*c**3 + o + y*c**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 0 + 0*q**2 - 3*q**2 + 13 - q**3 - 2*q**4 to the form z*q**3 + v*q**2 + g + t*q**4 + a*q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1288, -2, 4, -6, -18, -1, 5 in ascending order.\nAnswer: -1288, -18, -6, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 565 = -5*w + h, 2*w - 198 = 2*h. Let a = 116 - w. Solve u - 2*k + a = 0, 5*u = -0*u - 2*k - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b = -10*b + 84 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:45 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-1)\/r))\/(r*r*r*r\/((r*r**9\/r)\/r))*r*r**(-7)*r\/(r\/r**(-2\/27))*r)\/((r**(-5))**0)**(3\/19) assuming r is positive.\nAnswer: r**(25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.546 - -0.104. Round b to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Let f = 34 - 21. Suppose 4*d = -b*x + 16, 0 = 3*d - x + 2*x - f. Sort 2\/7, d, 1 in descending order.\nAnswer: d, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-3))\/2 - 34. Let z = -15 - w. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2\/6 + 17203*p\/6 + 68780\/3 = 0.\nAnswer: -17195, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3724 and 354221.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 763152*i - 3. Let z(g) = -2*g. Calculate w(z(r)).\nAnswer: 4*r**2 + 1526304*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = 3*f, 0 = t - 0 + 3. Let b(v) = 1883*v - 31954. What is the remainder when b(17) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.476 + 0.524. Which is the second biggest value? (a) x (b) 3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 11, -3340, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 28*n - 1. Let s(t) = -5*t**2 - 141*t - 5. Calculate 11*o(d) - 2*s(d).\nAnswer: -d**2 - 26*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 1823 - 78881 = -6*c. Is 119 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4776 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 6. Suppose 0 = -3*v - 0*v - t + 2, -v = t - 4. Let z(p) = -6*p**2 - p. Let u be z(v). Is q(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*a - 5*r + 103 = 0, -3*r = -4*a + 527. Is 128 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*j + 173*j - 566*j**3 - 314*j.\nAnswer: -566*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2049 - 2049.2. Suppose 3*y = -0*y + 15. Suppose y*m = -9 - 6. Which is the nearest to l? (a) -0.5 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 - 2*c**2 - 2*c. Let i be (-6 + (-2 - -1))*(-4)\/14. Let p(o) = -o**2 - o - 1. Calculate i*p(r) - h(r).\nAnswer: 3*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 43 + 13 = 0. Let a(b) = -b + 30. Does 15 divide a(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + 94. Suppose 5*r - 5*a = 437 + 628, 0 = -r - 3*a + o. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(24\/5)\/y**(-6\/5)*(y**(-2\/17))**(11\/5) assuming y is positive.\nAnswer: y**(488\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + 278*c**2 - 143*c - 203. Let v be o(-70). Let m(b) = 34*b - 6. Let z(p) = 23*p - 4. Determine v*z(j) - 5*m(j).\nAnswer: -9*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhxvj. What is prob of picking 1 h and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Suppose -2 = -k*m + 31. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1837*f + 20052. Calculate u(11).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*g + 22*g + 14 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + p = 18*n - 13, -2*n - 6*p - 22 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49, -113, -193, -295, -425, -589, -793, -1043?\n\"Answer: -z**3 - 2*z**2 - 51*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*h + 17 = -h, 0 = -2*q + h + 2. Let o = -1 + q. Find the third derivative of -2*b**5 - 5*b**o - 4*b**2 + 7*b**2 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1256, -6754, -21640, -50606, -98344, -169546, -268904, -401110?\nAnswer: -570856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1117014 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -4.4. Let y = -10 + 9.9. What is the biggest value in y, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44663 - -307696. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0.2, -4\/43, -532, 1 in increasing order.\nAnswer: -532, -4\/43, 0.2, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823463*w + 1825416*w - 3648879*w - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.188514ug to grams.\nAnswer: 0.000002188514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(243) - (sqrt(243) - -2*sqrt(243)) - -1*sqrt(48))**2 - -3*-6*sqrt(12)\/sqrt(4)).\nAnswer: -3528 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 8 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = 3*o - 53. Let b = o - -556. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*k = 66, 4*s - 46 = -0*s + 5*k. Let y = s - 5. Suppose -6 = -2*t, -y = -5*a + 3*t + 2. Sort 3, -5, a in descending order.\nAnswer: a, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**9\/252 - r**5\/12 + 8*r**2. What is the third derivative of j(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2134*p**3 + 2*p**2 - 35*p - 23 wrt p.\nAnswer: 12804*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 + 7*n**2 - 17*n + 82. Give s(9).\nAnswer: -1691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 2*o**2 + 1. Let q be v(1). Let i = 3110 - 3105. Solve i*a = 5*z, z + 3*a + 30 = -q*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**4 - 9*f + 7*f**4 + 19*f**4 - 21*f**4 wrt f?\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**4 + 24150*i**3 - 6*i**2 + 2*i + 1092179.\nAnswer: 8*i**3 + 72450*i**2 - 12*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 335\/(-134)*8\/(-130). What is the closest to 14 in -2\/7, y, -14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2980*c + 658154 = 902*c + 3529*c - 1202*c for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 7*m - 19 = -4*y + 68, 183 + 228 = -3*y + 2*m + 462 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(100)*1)\/((3*sqrt(24))\/sqrt(12)*2).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**3\/5 + 19376*r**2\/5 + 3088796*r\/5 + 3069424\/5 = 0.\nAnswer: -4679, -164, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from vnnnjvnjnnsvvnsvn.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 423\/103 + -39005\/7416. Find the common denominator of -76\/27 and h.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/13*-2*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 39\/(-21) - (-1035)\/(-630).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 75, 78, 81, 84?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let f(z) = 165*z - 1. Give f(d(j)).\nAnswer: -330*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22524\/(-1152) + 20 - (8\/(-3))\/(-2) and 69\/86.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*c + 208 = 0, 100 = w - 0*w - 3*c. Calculate the greatest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + 5 + sqrt(20)\/(sqrt(4) - (sqrt(64) + sqrt(4)) - sqrt(4)).\nAnswer: 4*sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**3*m*n - 15430250*h**3*m - 2*h**3*n**3 + 40614*h**2*m*n**3 + h**2*m*n + 3*h**2*m + 6*h*m*n**3 + 5*m*n**3 wrt h.\nAnswer: -60*m*n - 92581500*m - 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d - 3 = -54*d + 3*g, 17*g = 4*d + 20*g - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441222, -882376, -1323520, -1764654, -2205778, -2646892, -3087996?\nAnswer: -3529090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36500613 (base 7) in base 13?\nAnswer: 8a2307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 2:05 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by 40\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 - 1) - (-1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907 = -i - 3975. Is i\/(-4) + (-1 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 92.5. Which is the second biggest value? (a) -5 (b) 2 (c) 2\/17 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11*h - 66. Give j(-8).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.91 - -7.91. Let z = -262\/187 - -30\/17. Put s, -0.5, 5, z in ascending order.\nAnswer: -0.5, z, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4873176 divided by 54.\nAnswer: -90244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-6) + 2)*-24. Suppose -r + w = -4. Suppose 2*t + t = -p + 1, -t - 5 = -p. Solve -s + 2 = 3*z, -p*s - r = -z + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/36 and (-25)\/7*315\/28035?\nAnswer: 22428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2183690053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141792 - -200796. List the prime factors of n.\nAnswer: 2, 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/5)\/z)\/(z\/(z*z\/(z*z\/(z\/(z\/(z*z**(-5\/2)))*z)))*z))\/(z**(-2)*z*z**6))\/((z\/(z\/(z**5*z)))\/((z*z**(2\/21))\/z))**(4\/23) assuming z is positive.\nAnswer: z**(-44083\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 + 244. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14550 and 1800.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6, m: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.4 - -9.1. Let g = -54708381 - -54708382.30000185. Let u = g + h. What is u rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 6*h**2 - 7*h + 11. Let n be f(7). Suppose 1322*w - 72 = 1304*w. Solve 3*t - w = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 3\/2*r**2 - r**3 - r + 3 + 31\/4*r**4. List the prime factors of g(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -6 - 7 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 24 = 3*n. Let r be ((-1000)\/n)\/((-2)\/(-636)). Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1622 + 1621.6. Let f = 4.6 + -3. Let t = -4.6 + f. What is the second smallest value in 4\/11, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617546147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**3 - o. Calculate w(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3. Let g(l) = -18*l**3 + 39*l**2. Calculate -g(z) + 5*p(z).\nAnswer: 3*z**3 - 39*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/12 + 7*p**3\/6 - 2*p**2 + 2*p. List the prime factors of h(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158 and 1.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 131566 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = 4*l, m = -2*m + l + 4. Suppose m*c = 2*c + 54. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45772578 divided by -5085842?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, 1, -2, -28 in ascending order.\nAnswer: -28, -2, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/(-161) - 1012\/(-14). Let a be -4*3\/l*0. Solve -4*r + a = 3*j - 2, j + 4 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423448 by -5164.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 9*f + 7. Let c be v(8). Let b be (c - -1)\/(8\/(-4)). Let h be 2 - ((-16)\/(-12) - (-2)\/(-6)). Solve 0*r - 2*r + 2*a - 8 = b, -a - h = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/(-1*1\/(-1)). Let q = -958 + 970. Calculate the greatest common factor of q and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100120 (base 3) to base 8.\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*w + 329179 - 326373 = 0 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1066*j**2 - 168*j**2 + 204*j**2 - j)*(-3*j - 2*j + 4*j)*(-1 + 5 - 2) + j - j**3 - j to o*j**3 + h*j + z + g*j**2 and give o.\nAnswer: -2205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1030*g - 37. Let y(j) = -1030*j - 30. Give 4*i(p) - 5*y(p).\nAnswer: 1030*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34762, 34753, 34738, 34717, 34690?\n\"Answer: -3*w**2 + 34765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.21.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -105361 (base 9) to base 5\nAnswer: -4003432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 7043967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d + 345096 = -41*d + 345451 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k + 59*k - 68 = -3*f, 4*k + 40 = 2*f. Calculate the greatest common divisor of f and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7 and -74\/19399239?\nAnswer: 135794673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olloooooool. What is prob of picking 1 l and 3 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 times 5?\nAnswer: 3695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 94. Let b = 46 - 4. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002991304 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.6 - -22. Which is the nearest to 0.1? (a) 3 (b) -2\/9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -7, -2\/47, -15.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 210119?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-6)\/27 + 7\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/4*110\/8448 and 39\/8?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 48 = -5*b. Let i = 59 + b. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3)*(-24 - 1650\/(-70))*(-13)\/(-39)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.6. Let p = 0.1 + 0. Let k = -0.9 - p. What is the closest to k in -2, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9769, -39429, -88863, -158071, -247053?\n\"Answer: -9887*m**2 + m + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 11*r**2 - 152*r - 18. What is g(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h - 9. Let m(b) be the second derivative of b**4\/12 + b**3\/2 + 5*b**2\/2 + 3*b. Let p be m(-3). Let n(o) = -4*o + 5. Give p*n(s) + 3*f(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 + 20 + (11 - 107)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157.6 + -132. Let y = p + -26. Suppose -m + 3*d + 2 = 0, -2 = m - 0*d + d. What is the closest to 1\/2 in y, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -2 - 19) + (8 - 14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -665938 or -665939?\nAnswer: -665938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -57. Let o = -44 - r. Let d = 28 + o. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 305\/(-150) + 1 - 3\/(-15)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/151 and 4?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-4)*(-40)\/16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 2*u**2 + 0*u**3 - 3\/10*u**6 - 38\/15*u**5 + 37 + 0*u**4 + 0*u + 1\/70*u**7. Find the third derivative of p(i) wrt i.\nAnswer: 72*i - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -37, -70, -119, -190?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (357\/(-135) - 3)*1*(-15)\/(-36). Do -1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2186*d**3 - 1. Let z be x(-1). Let g(t) = 334*t - 183. Let v be g(5). Let c = v + z. Round c to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 0*n + 3*n - 2 - 2*n + (0*n + 2*n - n)*(n**2 - 3*n**2 + n**2).\nAnswer: n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22232 (base 7) to base 8\nAnswer: -12751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let v(w) = w. Let x(b) = 4*n(b) + 3*v(b). Let g(l) = 3*l. What is x(g(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296 + 296.1. What is the closest to k in -4\/5, 55, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 13) to base 11.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1036 - -1040. Solve r = v, 0 = 4*b - b + v - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 150.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j - 351*j = 222 - 1814 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkt when three letters picked without replacement from iiididiiiidikiidtti?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 151782810 divided by 17742?\nAnswer: 8555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(108) - -3*(sqrt(19)*-1 + sqrt(19)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 10 = 5*l, 8 = -h - 3*l + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 - -4. Let n = -7 + 6.5. Sort 5, n, x in increasing order.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 261\/15 + (-2)\/5. Suppose -h + m = 4*x - 2, -3*x = -2*h + 5. Solve 5 = -h*v + 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 - 50196*w + 314954802 = 0.\nAnswer: 12549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 + 132. Suppose -r - 65 = -f*n + 34, 3*n + 4*r - 84 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2 - 24\/18)\/(-1). Let n(l) = l - 2. Let q be n(4). Let x = -5 + q. Do x and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2202 + 224671\/102. Calculate the common denominator of o and -61\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -1\/2*r**3 - 2*r + 2 - r**2. Let q(m) be the first derivative of f(m). What is the derivative of q(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.574 - -55.426. Which is the third smallest value? (a) 5\/4 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 50 = 50. Let v = 82 - z. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 10*u**2 - 15*u - 13. Calculate d(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4301695835.\nAnswer: 5, 4457, 193031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3*m - 12. Let d be r(5). Suppose -4*u + 20 = 0, u = 2*o - d - 11. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 85896824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.70000055 - 2.7. Round w to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123*178\/14596*316\/(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/70)*(-10326)\/(-5163).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*l - 6*l - 115 = 0, -2*n + 236 = -l. Let i be (n\/21)\/((-3)\/(-9)). Suppose -3*a + i = -2*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3.7.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121284214 and 4820.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/(-1)*2)\/(378\/(-7)*129\/(-3483)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1883, 1901, 1919, 1937, 1955?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 16\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 22 = 5*t, 2*t = t + 5. Let k be 1*z + -8 + 5. Let c(r) = r**3 + r - 1. Determine c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.57 + 0.57. Let w = -22.966 - -23. Let y = w - -0.366. Which is the third smallest value? (a) -2\/19 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/5)\/(39\/325). What is the third derivative of -28*y**2 + 10*y**4 - r*y**4 + 14*y**5 + 3*y**2 wrt y?\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1faf + -b?\nAnswer: 1fa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0494291 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 9)\/((-6)\/4). Differentiate 8 - 3 + 0 + q*k**3 - 5*k**3 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, -4, -12, 6, -9 in ascending order.\nAnswer: -12, -9, -4, 0, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-12))\/(16\/36). Differentiate -3 - 3 - 6*w**t - 2 wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.69 times -2?\nAnswer: 183.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51914912 divided by 32.\nAnswer: -1622341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.059, -418, -0.2, 0.4, -80\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -8, -156?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p. Let r(j) be the first derivative of 7*j**4\/4 - 7*j**3\/3 + 3*j**2 + j + 315. Give r(w) + 6*y(w).\nAnswer: w**3 - 7*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75032423?\nAnswer: 467, 160669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - -5 - 20 - (2 + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) + (sqrt(152) - -3*sqrt(152))*-4 - sqrt(152) - sqrt(152))))\/(sqrt(968)*1).\nAnswer: -17*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8396*w**2 - 2*w - 4. Let j be l(3). Suppose j + 62746 = 4*d. Suppose 5425 + d = 2*y. What is y rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnnfwrnfcfrcffqffqw. Give prob of picking 3 n and 1 q.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 8, t: 4, f: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -488, -1680, -4006, -7844, -13572, -21568, -32210?\n\"Answer: -63*v**3 + 5*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10 and -55\/3632961.\nAnswer: 36329610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37906, 75814, 113724, 151636, 189550, 227466?\n\"Answer: m**2 + 37905*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 39811370 to the nearest 100000.\nAnswer: 39800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*o + 1351861 = -5233925. List the prime factors of o.\nAnswer: 2, 3, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/9)\/z)**38)**0)**35 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*3*-2 - (3*-1*sqrt(77) - sqrt(77)))\/((sqrt(396) + sqrt(396) + sqrt(396) + (sqrt(396) + 2*sqrt(396))*1 + sqrt(396))*4).\nAnswer: -sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1599, -1595, -1589, -1581, -1571?\nAnswer: -1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 147, 218, 289, 360?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854041.\nAnswer: 7, 173, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -18 + 54. Let s = -10 + 14. Suppose -r + 6 = -s*r. Sort -5, y, r in increasing order.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {y: 1, z: 1, a: 9, g: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116746.87 rounded to the nearest one thousand?\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 34. Let t = -1 + 0.9. Which is the nearest to f? (a) 5\/2 (b) t (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b**2 - 2*b - 1. Let s(r) be the first derivative of r**4\/4 + 11*r**3\/3 + 11*r**2\/2 + 12*r + 4. Let x be s(-10). Is i(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3\/(-15) - 5049\/(-45). What is the highest common divisor of y and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97505514, -195011029, -292516544, -390022059?\nAnswer: -487527574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -95*c**2 + 314995*c + 82900 = 0.\nAnswer: -5\/19, 3316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -45 (b) -3\/109 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3507925 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 - (-3 + 2) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q*(q\/((q\/(q\/q**10))\/q))\/q*q)\/q)\/q))\/q)\/q**(-6) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5942*b**2 + 3206*b - 104095373 wrt b.\nAnswer: 11884*b + 3206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 29. Let r(v) = 2*v - 4*v + 10 + 7*v + 0. What is the remainder when r(9) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 66. Let v = 66 + f. What is the units digit of (388\/10)\/(2\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 0*x - 5*x)*(0 + 5 - 16)*(8*x**2 + x**2 - 7*x**2) as c*x**2 + z*x + r + a*x**3 and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*r - 5, -2*n + 14 = -3*r + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 - (11 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-21))\/(6\/63). Put -4, -3, 1, f in increasing order.\nAnswer: f, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2599, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(5\/9)*j*j**(-22))**36)**(-29) assuming j is positive.\nAnswer: j**20300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2 - 3\/10. Let n = 3.1 - -0.9. Let b = 3.5 - n. Sort 1, b, s in decreasing order.\nAnswer: 1, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169986 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 618 = 12*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 4, 3, -3, 5.\nAnswer: -77, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 + j**2 - 2 - j**2)*((0 - 2 + 4)*(1 + 1 - 4) - 1 - 3 + 2 - 17 + 22 + 12) to n*j**2 + k + g*j**3 + p*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 60 - 28*c - 29*c**2 + 19*c**2 + 11*c**2. What is the remainder when l(26) is divided by 0\/1 + 6\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77166 * -0.2\nAnswer: -15433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3396658?\nAnswer: 2, 109, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-4) - 4)*-6 + -4. Let t be ((-6)\/5)\/((-6)\/15*s). What is the remainder when 2\/9*t*393\/(-2) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009953 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 36. Let f = -732 - -706.05. Let z = m - f. Is z less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-2) + 1211\/112 + -5 and 19\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16799542 and 19.\nAnswer: -319191298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252*(-105)\/(-52920)*2\/38*-4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200332320 - 1?\nAnswer: -200332321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51681?\nAnswer: 3, 7, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u**3 - 2*u**2 + u. Determine v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 95 = -0*s - d, -5*d + 130 = 5*s. Let m(t) = 2*t**2 - 53*t + 218. Calculate the remainder when m(4) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - 1329*q + 1329*q + 8*q**2 - 17*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19463 + 19571. Solve 3*s + g = -51*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -101*t + 4639. Determine q(46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 + 2 - 2)*(-o + 0*o - 2*o)*(-2 + 0 + 1)*(-8 - 7 - 2) to c*o**3 + s + i*o**2 + k*o and give c.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 151721542, 151721540, 151721538, 151721536, 151721534, 151721532?\n\"Answer: -2*j + 151721544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6396 and 155\/57564.\nAnswer: 57564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49970 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 19 + 114*z**5 + (-5*z**2 - 6*z**2 + z**2)*(-42*z + z**3 + 42*z).\nAnswer: 104*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 29*w**2. Let k be d(-1). Suppose b - 6*r - k = -r, -5*b = 2*r - 64. Suppose -2*n + 2*z + 24 = 3*z, 0 = n + z - b. Solve -n = g + 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*z + z - 21, -a = -2*z - 9. Let r = a + -11. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose -d*h = 3*h. Suppose 4*v - 6 - 2 = h. Calculate the highest common factor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 7. Let d be p(-7). Let t(f) = d + 12*f - 1 - 2*f. Calculate the remainder when 36 is divided by t(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892779?\nAnswer: 3, 79, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((160\/25)\/8)\/(4\/(-10)). Which is the nearest to z? (a) 2\/5 (b) -8\/7 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -15 + -7 + 14 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x + 31*x - 28 = 3*y, -4*x = -3*y + 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 6*v + 3. Let q be m(-6). Suppose -p = -q*p + 66. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -43. Let l be (d - -2)*(-3)\/(-9). Let a be (1\/((-4)\/(-8)))\/l. Solve a*o - 16 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 832, 2945, 6780, 12337, 19616, 28617, 39340?\nAnswer: 51785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-42))\/(48659\/19306 + (21\/(-6) - -1))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 363180.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -39. Let k(c) = -2*c**2 + 10*c + 3. Let n be k(7). Let a = b - n. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x + 6*x**2 + 13*x + 5*x - 18*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -49. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/(-99))\/((-49)\/(85995\/(-78)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10201024 - 4?\nAnswer: -10201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(15\/(-6)) - -36. Let w be j\/4*(1 - -1). Suppose 7 + w = 4*g + 2*z, 2*z = g + 6. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1041*j*k**4 + 514*j*k**3 - 11*j*k**2 + 4*j - k**4 - 10*k**3 + 214939*k**2 - 2 wrt k?\nAnswer: 24984*j*k + 3084*j - 24*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -2*b. Let t(l) = l**3 + 3*l**2 + 2*l + 3. Let i be t(b). Calculate the common denominator of -115\/6 and (i\/24)\/(2\/53).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1945 = d - 8*l + 11*l, l = -5*d + 9683. What is the least common multiple of 352 and d?\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 10*c + 19. Let a be x(-10). Let y(n) = -n + 27. Let d(z) = 15*z. What is the remainder when d(1) is divided by y(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 97297880 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10.205, -1, 1\/2, 0.2, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + (-4*-3*(-1 + sqrt(891))*4)**2)*4.\nAnswer: -165888*sqrt(11) + 8220696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(1\/3)))\/l)**(-13\/2)\/((l**(-23)*l)\/l**(-34)) assuming l is positive.\nAnswer: l**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -938 - -931. Suppose -2*x = x - 39. Let l be -2 - x*1\/f. Which is the smallest value? (a) 1\/4 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppdppddpppdpddp. What is prob of sequence ppp?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43003959.0099883 + -43003714.01. Let k = 245 - a. Round k to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-14)\/b*b**(1\/2)\/b*b assuming b is positive.\nAnswer: b**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-2 + (-4 - -20) + -105).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098 - -0.9?\nAnswer: 0.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -203249 = -203248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -874, -2\/11, -1\/100.\nAnswer: -874, -2\/11, -1\/100, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 6*a**4 + 13)*(-3*a - 5 + 5 + (4*a + 4*a - 6*a)*(-4 + 1 + 1)).\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91019 + -24757223\/272. Calculate the common denominator of b and -21\/680.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53873875 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnjttnv. Give prob of sequence tn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7371*d + 12964 = 7834*d for d.\nAnswer: 28","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 {y: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j + 14. Let a be b(12). Suppose -3*c + r = -127, 0*c + 2*r = 3*c - a. Suppose -2*s + 30 = -c. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3666 - -3665.9929876. Let k = j - -0.007. Round k to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:41 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aunm when four letters picked without replacement from {u: 1, a: 1, g: 2, n: 3, m: 6}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3933)\/(-513))\/(920\/240).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/5)\/(-11*46\/2530).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -62946 (base 10) to base 8\nAnswer: -172742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -800 by -4.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, -1.9, 0.01, -3 in decreasing order.\nAnswer: 0.21, 0.01, -1.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 18 = -s - 3*a, 0 = 4*s - 4*a. Sort s, -3, 4, 2 in ascending order.\nAnswer: -3, 2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 35*v**4\/6 - v**2 - 6*v - 8. Let c(y) = 2*y**2. What is c(k(q))?\nAnswer: 9800*q**4 - 560*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1349818*d**5 - d**4 - 39*d**2 - 20092 wrt d?\nAnswer: -80989080*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g + 13 + 39 = -41*g + 3*k - 19, 0 = 2*g - 3*k - 124 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12230, 12224, 12218?\n\"Answer: -6*m + 12236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f. Let q be ((-4)\/6)\/(34\/1683). Let d(x) = 57*x. Calculate q*w(o) + 4*d(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 + 47238*c**2 + 137015127*c + 96496919136 = 0 for c.\nAnswer: -1389, 50016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)\/((-4)\/(-6)). Let z = b - -1. Suppose -z*g - d + 68 - 24 = 0, g - 3*d - 24 = 0. Solve 5*t = m + 4, 0 = 4*m - m + 3*t + g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 16 (b) -2\/11 (c) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 3\/7 (b) -84\/17 (c) -1\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/8*(-2)\/(-6). Let x be (8\/(-5))\/((-36)\/90). What is the third biggest value in j, 0.4, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 5*l - 2. Let v be h(-3). Let s(b) = b. Determine s(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2509*l + 2509*l - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - b - 20 = 0, -3*x + 5*b - 16 = -14. Let o(c) = c**2 - 8*c + 2. Determine o(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d. Let v(s) = s + 30. Let r be v(-22). Let n(a) = 3*a**2 - 7*a**2 - r*a**2. What is g(n(z))?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779535 to the power of 1\/2, to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(1\/16)*m**(-1)\/(m**0\/m) assuming m is positive.\nAnswer: m**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13080*y**4 - 6181*y**3 - 116166619 with respect to y.\nAnswer: 52320*y**3 - 18543*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 1054 = 2736. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*c + 250, -4*c + 263 + 257 = t. Is c bigger than 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 y when four letters picked without replacement from {t: 1, s: 2, y: 5, h: 3, k: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 14*f + 15. What is the second derivative of 0 - 3*k**f + 3*k**2 + 1 + 5*k - 7*k + 0*k**5 wrt k?\nAnswer: -60*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiydikiklyykkkidl. Give prob of sequence il.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 + 3*p. Suppose 4*g + 68 = 4*u, -g - u - 21 = 2. Let v(d) = -12*d**3 - 10*d. Calculate g*o(h) - 6*v(h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)*x\/(x\/x**(-5)))**(2\/29)*(x**(-2\/15)*x**(-3))\/(x**(-2)*x\/(x*x**(-8))) assuming x is positive.\nAnswer: x**(-4513\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000111100100001001 (base 2) to base 10.\nAnswer: -2390281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12341 (base 5) in base 12?\nAnswer: -68b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ff2c5 - -6?\nAnswer: -3ff2bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046661660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 4 + -17 + 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b**6*b)\/((b**(2\/5)\/b)\/(b*(b*(b\/b**(3\/5))\/b)\/b)) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*x + 31*x + 19*x + (-5 + 1 + 2)*(3 - 3 + 2*x) - x + 0*x - x + 0*x + 0*x + 6*x.\nAnswer: 80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c*(c\/(c*c\/c**6))\/c)\/c))\/c**(-3)*(c**(4\/9)*c)**49)**(3\/31) assuming c is positive.\nAnswer: c**(628\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) + 3) - sqrt(99)) + -1 + 1*sqrt(99) + 5 + -2.\nAnswer: -15*sqrt(11) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - j**2 + j + 2. Let d be b(-8). Let r = d + -167. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*m + 78, 5*r + 1 = -9. Let v be (-515)\/m + 4\/14. Let a = v - 13. Solve -g - 3 = a*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - 9 - 4\/6. Let n = 38 - 18. Let q = n - 20.4. Which is the third smallest value? (a) 2 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -19, 2, 53, 146, 293?\n\"Answer: 2*s**3 - 3*s**2 - 2*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10) + 212\/110\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Suppose -3*x + 12 = 3, 4*z = -3*x + 29. Suppose 0 = -5*r - 20, 2*a - 13 = 3*a + z*r. What is the least common multiple of v(-1) and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 8641074.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205 + -204.6. Put 0.2, 1\/3, t, -5\/4 in increasing order.\nAnswer: -5\/4, 0.2, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*f - 26 = -h, 5*h = -2*f - 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q**2 + 3544*q - 1416 = 0.\nAnswer: 2\/5, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 79 - 9. Suppose j = 2*s - 1, 4*s - 10 = -2*j + 4. Suppose -4*i = -s*i - 8. Solve -i*a - a = -w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncnqobffo. What is prob of picking 1 c, 1 n, and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -6\/41 (c) -1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8638.757cm?\nAnswer: 0.08638757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/537 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 16*o**2 + 16*o - 170. Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -4, -5, 1497, 5 in decreasing order.\nAnswer: 1497, 5, -4, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 1\/2*y**4 - 6*y**2 + 1\/27*y**6 + 0*y + 47 + 14\/45*y**5 - 2*y**3. Factor q(r).\nAnswer: 2*r*(r - 2)*(r + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 740553053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2331232, 2331171, 2331068, 2330923?\n\"Answer: -21*d**2 + 2*d + 2331251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*w**2 - 2*w**3 + 8*w**2 + 7*w**2 + 13 wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142172.28 - 0.8876.\nAnswer: -142173.1676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*y - 3 = 0, -2 = d + 2*y - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555386?\nAnswer: 2, 13, 41, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 4:47 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -818*j + 2457. Let n be t(3). Let b(c) be the first derivative of -17\/3*c**n - 3 - 3\/2*c**2 + 0*c. What is the second derivative of b(g) wrt g?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -870.\nAnswer: -69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 8. Suppose 3*h = 5*h - 10. What are the prime factors of i(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*9\/6. Let g = d - -3. Suppose g*o + 44 = 4*s, 2*o + 1 = s - 5. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68.6 + 69. Let w = 0.4 - 5.4. Which is the closest to -2\/7? (a) u (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/29877 and -65\/16462227.\nAnswer: 16462227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 13.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 6*v**2 + 7*v**2)*(16*v**2 + 17*v**2 + 9*v**2 + 4*v**2) in the form y*v**4 + p*v**3 + m*v**2 + u + n*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-13)\/91*14\/(-30).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 616?\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -1053*y**6\/20 + y**5\/30 + y**4\/6 - 149*y**3\/6 + 6*y**2 - y - 480. Find the third derivative of q(j) wrt j.\nAnswer: -37908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 1. Suppose a - 4*a = 0. Let f be b(a). Sort f, -4, 2.\nAnswer: -4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {d: 1, k: 1, w: 4, p: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 999151, 999278, 999505, 999844, 1000307, 1000906, 1001653, 1002560?\n\"Answer: 2*f**3 + 38*f**2 - f + 999112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/(19100\/60165).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12904 + -10159. What is the remainder when c is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqb when three letters picked without replacement from cppqqpbccpqppqpqpp.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 25. Let p = k + 11. Let y = 1.052 - 0.952. Which is the nearest to -1? (a) 3 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 468 = -6*k. Calculate the highest common factor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 25*g - 42. Give p(24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/6 (b) 0.486 (c) 3 (d) 0.5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756832 divided by 43?\nAnswer: 110624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 - 4*p + 2. Let z be n(2). Let y(w) = -w - 2. Let k(b) = -3*b - 7. Let d(l) = z*k(l) + 7*y(l). Let t(u) = 2*u**2. Calculate d(t(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -452*w**2. Let y(l) = -3*l. Give y(f(v)).\nAnswer: 1356*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-4)\/(-2) - 3). Let n be (2 - 4) + -1157 + f. What is n rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138416458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3\/5 (c) -1449\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 66 = 4*y. What is the smallest common multiple of 6 and (-12)\/(-66) - (-106)\/y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*c - 15, -15 = 5*f - c - 3*c. Let n be ((-3)\/(-5))\/(f\/(-15)). Solve -2*d + 1 - n = 0, 4 = 3*j - 4*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) - (-3*sqrt(190)*1 - sqrt(190)))) + 1*sqrt(190)*3)\/((sqrt(810) + sqrt(810)*-1*2 + sqrt(810) - sqrt(810))*-4))**2.\nAnswer: 19\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -7) + (16 - (3 + 0)) + -65\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*y = -12, -4*q - 140*y + 138*y - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1\/9 (b) 1\/3 (c) 0 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*2\/(-24)*114?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -56?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - 0 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.94 in -0.5, 4, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and 57\/187.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6) - (-39)\/(-117) - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237699680?\nAnswer: 2, 3, 5, 7, 368363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205, 415, 627, 841, 1057, 1275?\n\"Answer: m**2 + 207*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29688, 59372, 89056, 118740, 148424, 178108?\n\"Answer: 29684*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3\/4 + 21525*y**2\/4 + 5382*y = 0?\nAnswer: -1, 0, 7176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 7.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l + 3510 = -78*l. Suppose -591*b + 12 = -l*b. Find w, given that -1\/3*w**3 - 1\/3*w**b + 1\/3 + 1\/3*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-24) - (-121)\/6. Suppose 10*m = 5*m - x. List the prime factors of ((-9)\/(-15))\/(m\/(-180)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 36\/5 (c) 1\/2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 48*p**2 - p. Let n be o(1). Suppose -2*a - 13 - n = 0. Let l be 11\/4 - a\/(-20). Does l = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4638*m**3 + 1259*m**3 + 3375*m**3 + 20*m**2.\nAnswer: -4*m**3 + 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 5*l**2 + 2*l + 4. Let y be o(4). Let t = -24.7 + 24.7. Sort y, t, -2\/5 in descending order.\nAnswer: t, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 908*a + 2810 - 19154 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v = -726 + 871 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 10232?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 102, -7387 in decreasing order.\nAnswer: 102, -5, -7, -7387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4 + 10845*x**3 - 21710*x**2 = 0.\nAnswer: -2171, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11620 + 11620. Solve c = -3*z + 3*j, -7*z = -3*z - 5*j + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.02 - 2.5. Let t = j + -0.02. Suppose 3*f + 12 = -3*r, -4*r = 5 + 7. What is the closest to f in 3\/5, 4\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3068402 = 381*h + 3105740 for h.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 744 = 2*b. Let z be (-4112)\/(-32) + 3\/6. Let h = b - z. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e87175 + 9?\nAnswer: e8717e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -379*z + 12. Let f be h(5). Let y = -2741 + f. Let m = -36943\/8 - y. Calculate the common denominator of -11\/10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 15 = -3*n, 2*n = -3*b - 3*n - 25. Suppose y + 1 - 80 = b. Let q = -43 + y. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/56 + 84\/32. Suppose -s - 10 = 3*i, 3*s + 2*s - 26 = 4*i. Solve 0 = s*t - a - z, 5*t + a + 0*a = 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -64. Let k(j) be the second derivative of 0*j**2 + 0 + 0*j**3 + 2*j - 1\/75*j**6 + a*j**5 + 0*j**4 + 1\/105*j**7. Determine o so that k(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9756*o**2 - 120*o - 3. Let r(q) = 74048039*q**2 + 910840*q + 22771. What is -22771*p(v) - 3*r(v)?\nAnswer: 9759*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 45315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from khnkttnhnyktytohyykt?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52\/157 - 50\/1099. Let o = -0.03 + 5.03. Put o, 3, c, -6\/11 in decreasing order.\nAnswer: o, 3, c, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12550669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -56*i - 833. Give u(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 108*f**2 + 4101*f + 6. Calculate r(-38).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262537, 262527, 262517?\nAnswer: 262507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11\/5 (b) -2\/57 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (6 - (3 + (-10 - -5))) + -2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -809*a**2 + 2. Let w(i) = 2*i**2. What is z(w(n))?\nAnswer: -3236*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 0.178458?\nAnswer: 0.578458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1752 divided by 146\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*q - 2)*(-2 + 10 - 1)*(7*q**2 - 10*q**2 - 3*q**3 + 6*q**3 - 3).\nAnswer: 42*q**4 - 42*q**3 - 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 9 = 2*n + 4*g, 0 = -5*n - 4*g - 10. What is the derivative of -8*h**n + 4 + 6 - 2 wrt h?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335a85 (base 11) to base 9.\nAnswer: -1004832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 387 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - -2)*-6 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3035*i**6 - 2*i**2 - 364.\nAnswer: -364200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 16) in base 11?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -2146.8.\nAnswer: -2146.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 432930 or 432929?\nAnswer: 432930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-238)\/527)\/(7658\/(-67828))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -346\/97, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/445 + 908\/4005. Let x = -174 - -349\/2. Which is the nearest to x? (a) m (b) 3\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46486833, 46486841, 46486849, 46486857, 46486865?\n\"Answer: 8*y + 46486825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.32. Let d = 0.01 - y. Let v = d + -1.38. Round v to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66559.6 rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 34215 = 5*y, -5*u - 18305 = -y + 15898. What is the thousands digit of u\/(-144)*148\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, g: 7, z: 10}. What is prob of picking 1 z and 1 g?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41\/6 + -13\/2. Let o be (-1)\/(1 + 0 + 0). What is the closest to c in -3, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -520 and -3813.\nAnswer: -4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*m - 9. Let z(n) = -5*n + 3*n + m*n - 3*n. Let f(r) be the second derivative of r**3\/3 - 2*r. What is f(z(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4555, -4562, -4575, -4594, -4619?\n\"Answer: -3*b**2 + 2*b - 4554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxooox. Give prob of picking 2 x and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 8*r - 7*r + 52949, a - 4*r - 10586 = 0. What is a rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 6. Let g be 285\/(-38)*((-8)\/3 + 2). Suppose -4*i + g*n = -386, 3*i + 18 = n + 313. Let h = -108 + i. What is j(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**5 + f**3 - f. Let j(o) = -43*o**5 - 2*o**3 + 31*o**2 + 2*o. Let k(q) = j(q) + 2*s(q). Find the third derivative of k(b) wrt b.\nAnswer: -2700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-54)*12\/2*(-2)\/18\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2. Let w(o) = 855*o - 1938. Let v(b) = -3*b + 6. Let d(t) = -1938*v(t) - 6*w(t). What is d(x(u))?\nAnswer: -3420*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - (-2236)\/344 - -1. Solve f*x - 5*x + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 43*h + 27. Suppose -x = 2*z - 3*z + 5, -z = -5*x - 21. Let r be a(x). Let c = r + 145. Solve c = -4*v + 8 + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 42*n - 126 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.685928927 rounded to 3 decimal places?\nAnswer: -2.686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.3, -4\/15, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 114, 8 in decreasing order.\nAnswer: 114, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 + 4*o**5 - 3*o**5 - 1 - 3*o**5 + 1 + (3*o - 2*o + 0*o)*(-2*o**4 + 5*o**4 - 4*o**4) - o**5 - o**5 + 4*o**5.\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Let b(j) = j**3 - j**2 + j + 5. Let x be b(0). Solve -v = m*v - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287.74547 * -0.4\nAnswer: 115.098188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m = 82*m - 41*m - 315. Solve -108*i + m*i = 18 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27)*1)\/(8\/(-48))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.81651 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097 - -49?\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-180)\/24))\/((-1855)\/105)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/7 (c) 0.4 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q**2 + 30*q + 8. Suppose -4*l = -34 + 2. Let v(g) = 8*g**2 + 10*g + 3. Let w(o) = l*v(o) - 3*b(o). Find the second derivative of w(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110015903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 32 = 4*x, -20*d + 4 = -17*d - x. Let o(h) be the second derivative of 7\/2*h**2 + 0 + 21*h + 11\/6*h**d. Differentiate o(v) with respect to v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.234 + -20.284. Let m = -0.05 - d. Let c = 20.000014 - m. What is c rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 14. Let x(k) = k - 1. Let h(s) = -202*s + 1574. Let u be h(8). Calculate u*x(l) + 3*w(l).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 730295 divided by 5\nAnswer: 146059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (924\/(-176))\/((-27)\/360). What is the greatest common factor of 3325 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169257*g + 56424*g + 56501*g + 3 + 56481*g - 3.\nAnswer: 149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573.9529 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 28*n + 0*n**2 + 1\/6*n**3 + 0 + 3\/4*n**4. Let x(c) = c**2 + c. Let f(s) = 2*i(s) - 14*x(s). Solve f(m) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7520138*f + 107*f**2 - 7520154*f - 11*f**2.\nAnswer: 96*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*(-6)\/144 + (-22555)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -120. Suppose x + n*m = -m + 11784, -23580 = -2*x - 5*m. What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*w)*(-15237 + 45266 + 50789 - 8219).\nAnswer: -145198*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/72 and -125\/366.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 1. Let t = 190 - 192. Let r be (-1 - (0 + t))\/(34\/136). Let d(s) = -7*s - 2. What is r*b(p) - d(p)?\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 29. Let s = -844 - -846. Is a greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 + 33*l**2 - 155*l - 181. What is the thousands digit of d(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 x when four letters picked without replacement from {g: 5, e: 2, x: 3, j: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.2. Let y be (-12)\/(-10) - 3\/15. Let h be -1*(-3 + (-11)\/(-3)*y). Sort -1\/4, -5, h, n in descending order.\nAnswer: n, -1\/4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = 2*r. Suppose -16 = -4*z - 4*k, r*z + 7 + 0 = 4*k. Sort -1, z, -5 in decreasing order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-24\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 11) to base 5.\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-935)*-17)\/((-4)\/2)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283.1 + -269. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/8)\/(468\/(-416)). Which is the nearest to n? (a) -2 (b) -5 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = b - 1, -4 - 14 = -5*b - 2*s. Let h(a) = 17*a**2 - a - 3. What is the units digit of h(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/(-77))\/((-4)\/(-14)). Let r = 12 + 24. Suppose -2*l - a*l = -r. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (0 - 2))\/(-1). Find the second derivative of 16*m**5 - 17*m**5 + 3 + 2*m - y wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 2, p: 5, j: 1, h: 4}. What is prob of sequence ojp?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**7\/315 + f**6\/30 - f**5\/10 - 8*f**2. Factor y(w).\nAnswer: -2*w**2*(w - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*i - 311, -5*i = -8*i + 3. Let b = 112 - 85. Calculate the remainder when g is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j - 1. Let r(o) = -1 + 3 - 3 + o. Let k = 3037 - 3038. Determine k*f(n) + r(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48a4 (base 11) to base 6.\nAnswer: -45354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**3 + 21*d**2 + 9*d + 11. Let p(k) = 4*k**3 - 12*k**2 - 5*k - 6. Let x(q) = 3*b(q) + 5*p(q). Let u be (-5)\/10 + 18\/4. Give x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 1.144474?\nAnswer: 3.144474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a. Let l(c) = 18579*c**2 - 18578*c**2 - 366*c + 25*c. Determine l(g(n)).\nAnswer: 225*n**2 - 5115*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -147\/667810 and -18\/715?\nAnswer: 667810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*r - 2 + 15, -4*r = u + 9. Is r\/(0 + 1) + 20 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 17*d + 32. Let a be o(15). Let w(p) be the third derivative of 0*p + 0*p**4 + 0 - 3*p**a + 1\/24*p**3 - 1\/240*p**5. What is n in w(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 2. Let y(v) = -v**3 + 14*v**2 + 14*v + 19. Let m be y(15). Solve 3*f + 0*f - 21 = -5*q, -m*f + k*q = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 23 = -43. Suppose -2*i - 3*i = z - 12, -v = -i - 2*z. Solve 0 = -p + i*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50305 + 105?\nAnswer: 50413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-5)*12\/((-84)\/(-35)). Let g be u\/(-6) + (2992\/24)\/(-17). Let y(z) = -z**3 + 3*z - 3. Let j(i) = 4*i**3 - 8*i + 8. Determine g*y(c) - 3*j(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/36 and 13\/418320.\nAnswer: 418320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 169326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - w - 2*w)*(-166 - 1024 - 294 - 973 - 554) in the form h*w + i and give h.\nAnswer: 3011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -942, -906, -808, -618, -306, 158?\n\"Answer: 5*j**3 + j**2 - 2*j - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:13 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*l - 92*l + 1217 - 7075 = -9*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f**2 + 56*f**2 + 56*f**2 - 2140*f**3 - 169*f**2.\nAnswer: -2140*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 3615.802 - 4?\nAnswer: 3611.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -111*o - 13 + 26. Solve -2*k + 0*k + 4 = 0, o = -b + 3*k - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963569.4917 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 0)*(1316*h + 1315*h - 2649*h + 12) in the form z*h + u and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {j: 3, n: 1, c: 5, i: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/110 and 61\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -445213*a**3 - 6*a**2 - 145833*a.\nAnswer: -2671278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -64 (c) -2302 (d) 0.4 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**18\/n)**(2\/21)\/(n**(-20))**(6\/7) assuming n is positive.\nAnswer: n**(398\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 25*x + 121. Let o be r(-29). Which is the nearest to 2? (a) 1 (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrw when four letters picked without replacement from brrbrrrwrrtwbwwwbwrw?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a5828 (base 14) in base 7?\nAnswer: -15352451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (0 - 1)) + 0. Suppose 0*s - k*s + 6 = 0. Let f be (-12)\/(-12) + 1 + -1. Put s, -1, f in decreasing order.\nAnswer: s, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(567) + 6*(sqrt(567) - (sqrt(567) + 1) - sqrt(567))**2 + sqrt(567) + -2.\nAnswer: 126*sqrt(7) + 3410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let i be 1*-2 - y\/(-2). Let w = -38 - -38. Which is the closest to i? (a) -0.4 (b) w (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-9)\/(-10))\/((-430)\/9675)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((16\/40)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1171*g - 22. Is y(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111248 is divided by 27804.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 929*b**2 + 2308*b + 1735*b**2 - 2308*b to j*b**2 + f*b + x and give j.\nAnswer: 2664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -50597\/97 bigger than -523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -103, -62, -13, 44, 109?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 2, b: 1, x: 5, p: 1, c: 2}. Give prob of picking 1 x, 1 b, and 1 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -367, -597, -907, -1291, -1743, -2257, -2827?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -48. Let v = n - 1.5. Let k = 3.1 + -3. Which is the closest to k? (a) -1 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 2}. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y - 5. Let k be (-33)\/(-77) - 48\/14. Let z(s) = 5*s + 4. What is k*z(j) - 2*x(j)?\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4596931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 3:40 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3044.3 - 3044.5. Let a = 3.02 - 0.02. What is the second biggest value in s, -0.1, a, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12609958*-0.02.\nAnswer: -252199.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5162 and -45\/10324?\nAnswer: 10324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 0 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 29*y**5\/20 + y**3\/3 + 13*y**2 + 93*y. What is the second derivative of c(n) wrt n?\nAnswer: 174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*w + 9, 2*w + 6 = o - 0*o. Suppose -c + 2*c = -3*h + 7, o = -5*c - 10. Is h less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.39, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.686 and 3965\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2015*g + 1148*g - 85401 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118246, -118259, -118272, -118285?\nAnswer: -118298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19911 - 19910. Put -3, -22, r, 2, 3 in descending order.\nAnswer: 3, 2, r, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.15 to zero dps.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/56 + (-46)\/14. What are the prime factors of -2*(-4 - (-5 - g))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2544723799?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 346 and 16.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.56 + -15.33. Let t = 10.1 - m. What is t rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1456\/12 + (-1 - (-10)\/6). Let o = 2269 - f. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*x = 30, 2*w - 2*x + 10 = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2*m**3\/27 - 4*m**2\/9 + 5. Factor i(v).\nAnswer: -2*v*(v + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-16)*10\/(-1026) - (-34)\/(-323)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 197.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4071097.\nAnswer: 4071097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 295921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1353793018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -410724811.343.\nAnswer: -410724811.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 142\/7, -1, 0, 1\/3, 4, 0.3 in ascending order.\nAnswer: -1, 0, 0.3, 1\/3, 4, 142\/7, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.262+828543506441\nAnswer: 828543506440.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*g**2*h*o**3 - g**2*h*o**2 - 2*g**2*h*o - 19*g**2*o**2 - 22*g*h*o**3 + 6*g*o**3 + 33*h wrt o.\nAnswer: 132*g**2*h - 132*g*h + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqqqqqppqqqqq. What is prob of sequence qp?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*h**2 - 209*h**2 + 1029*h**2 - 203*h**2 - 217*h**2 - 201*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-6)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 320*m**2 + 25*m + 302*m**2 - 22*m.\nAnswer: -18*m**2 + 3*m + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 552 - 162. Suppose 3*m = a + 18. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*z + 308, -4*z + 241 = 3*s - 5*z. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 201, 203, 205, 207, 209, 211?\n\"Answer: 2*o + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3066 by -11.\nAnswer: 3066\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w - 3. Let y(h) = h**2 - 5*h + 2. Let b(k) = 2*l(k) + 3*y(k). What is b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 79?\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4267 = -5*s + 2*q, 0 = 2*s - 5*q - 8530. Calculate the greatest common factor of s and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + -541\/6. What is the second smallest value in z, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1991 + -1.1991. Which is smaller: v or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -23, -21, -17, -11, -3?\n\"Answer: h**2 - 3*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g - g**3 - 12*g**2 + 57 - 17 - 12*g + 3*g. Let b be y(-10). Let u(c) = 3*c**2 - 16*c + 10. What are the prime factors of u(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 275400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -75, 5, -0.02 in decreasing order.\nAnswer: 5, 4, -0.02, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 24 = -3*u. Let t(s) be the first derivative of 0*s**u + 2\/5*s**5 + s**3 + 0*s**2 + 0*s - 2. Find the third derivative of t(l) wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 82816, 165502, 248186, 330868, 413548, 496226?\n\"Answer: -g**2 + 82689*g + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*f + 8*n = 314*f + 312*f + 5 + 24, 38*n = 4*f + 140 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in 3, -2\/5, 0.3, 0.088, 2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 30*b**3 - 27*b**3 + b + 29*b**3 - 2*b**2 - 37*b**3 - 6*b**3 to the form j*b**3 + d*b**2 + y + h*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 8*z**2 - 9*z + 7. Give u(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) - 70\/(-6). Let m be (g\/15)\/(2\/20). What is the highest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-18))\/((-7)\/14). Let x be (0 - 2) + -3 + 3. Sort x, -8, f, -4 in ascending order.\nAnswer: -8, -4, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20220736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {f: 3, u: 5, a: 2, y: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1188 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/28 and -97\/8692.\nAnswer: 60844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2273281 is divided by 150?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1 (c) -11 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 1, y: 2, u: 1, x: 2, s: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 10*s - 3*s**3 + 7 - 34 + s**3 + 26*s**2 to x*s**2 + c*s + g*s**3 + j and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 15*z + 23. Give d(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*2)\/(sqrt(392)*2 - sqrt(8)).\nAnswer: 6*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*c = 6*g + 2, -4*g = -2*c + 14. Let k be (12\/(-225)*g)\/((-28)\/(-14)). What is the nearest to -0.2 in 4, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 20. Let g(v) = v**3 - 9*v**2 - 11. Let c be g(9). Let u be t(c). What is the first derivative of -2*a**2 + 5*a**u + 64 - 76 + 8*a**2 wrt a?\nAnswer: 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/465?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*y**3)*(1 + 5 - 4)*(-1 - 16 - 30).\nAnswer: 282*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336 + 338. Find the second derivative of 10 + 34 + 24*v**4 + g*v + 59 - 14 wrt v.\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 15) to base 9\nAnswer: -354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.6. Let r = j - -0.82. Let c = r - -1.98. What is the third biggest value in 1\/6, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -0.814575\nAnswer: -12.218625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (44 - 88)) + -50?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 1 + 2255*l - 515*l - 4046*l - 228*l.\nAnswer: 2*l**2 - 2534*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27243 and 12?\nAnswer: 108972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 4. Let w be k(4). Suppose s = 3*m - 5, s + s + m + 3 = w. Is -106*((-10)\/4 - s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gngegnxbexggbggxgnn. Give prob of picking 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + (29 + -15 + -13 - 45) + -10?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 3*l + 3. Let u be k(5). Let p be (6 - u) + 0 + 1. Suppose -g + 40 = -0*g + 4*j, -4*j = -12. What is the greatest common divisor of g and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -71. Let y = x - -35. Suppose -2*q + 0*q = 5*w + y, 6 = -3*w + 3*q. Which is the second smallest value? (a) -1\/2 (b) 2\/13 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d**5\/7 + 8696*d**4\/7 + 32640*d**3\/7 - 49976*d**2\/7 + 8620*d\/7 = 0. What is d?\nAnswer: -431, -5, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 13*b + 24. Let o be f(-10). What is the common denominator of (3\/(-6))\/1*292\/o and -61\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 53. Give a(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7421871.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03274968676 rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 3.5575 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g*r - 8*g*x + 2*g - 29*r*x + 1 with respect to r.\nAnswer: -5*g - 29*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l**5 + 2*l**4 + 10*l**2 - 2. Let o(s) = 13*s**5 - 3*s**4 - 9*s**2 + 3. Let h(x) = 2*o(x) + 3*v(x). Find the third derivative of h(i) wrt i.\nAnswer: -600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 6) in base 8?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 228 = 2*c, -1630*u + 1629*u + 89 = -5*c for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 256. What is j(105)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtttdfd. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -7*i, 21 = -n + 4*i. Let h be 6\/n*20\/3*-3. Calculate the highest common divisor of 216 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33753202*n**3 - 13030881 wrt n?\nAnswer: -101259606*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9088092.77 - -0.03.\nAnswer: -9088092.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + -1.38. Let t = l - -0.1. Let y = -0.8 - t. Sort y, -1\/6, -1\/3 in increasing order.\nAnswer: -1\/3, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -9, -16, -25, -36, -49, -64?\n\"Answer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -95. Let p = 7 + -2. Let z = p + -9. Which is the closest to f? (a) -2 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 8*k + 5. Let w be v(6). Suppose 7*n = w*n - 12200. Round n to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7274 is divided by 1512.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915055 divided by 12.\nAnswer: 915055\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8388979, -16777963, -25166953, -33555949, -41944951?\n\"Answer: -3*i**2 - 8388975*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20.3 or 97?\nAnswer: -20.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28657506?\nAnswer: 2, 3, 4776251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z - 2. Let o(x) = 120*x - 22. Calculate 8*h(v) - o(v).\nAnswer: -24*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*-10.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -0.3, 2\/3, -5 in ascending order.\nAnswer: -5, -0.3, 2\/3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 10, -t + 29 = -z - 18. Suppose -y + 0 = -4. What is the common denominator of ((-2)\/y)\/(t\/170) and -57\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z - 141 = -3*c, 3*c = -3*z - 129. Let l = -18 - z. Let w = 41 - l. What is the remainder when 41 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 11*x**3\/3 - 3*x**2\/2 - 161. Let z(o) = 4*o**2. Determine z(j(b)).\nAnswer: 484*b**4 - 264*b**3 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 8) to base 16.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 + 27*z**2 + 243*z + 1. What is u(-8)?\nAnswer: -1751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -104, -269, -502?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4735336 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 514061 divided by -50.\nAnswer: -514061\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 315 = 2*m. Suppose 0 = -5*h - 3*x + 105, 2*x = -5*h + 37 + m. Suppose 4*w - 5 + 17 = 2*p, -3*p - 4*w = -h. Let v(t) = t**2 - 6*t - 1. Give v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-15))\/((-2)\/15). Let p = -9 + x. Let y(w) = -5*w**2 - w + 1. Let j be y(1). Sort 4, p, j in decreasing order.\nAnswer: 4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/20*(-2 + 26). Suppose -121*p = -h*p + 60. Solve -15*c - p = -19*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253\/714 + -5\/238. Let w(b) be the second derivative of -5*b + 0*b**3 - m*b**4 + 0 + 7\/2*b**2. Find the first derivative of w(s) wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (44 - -1) + (-1 - -2) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45853.66739 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 10926660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 871 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261305 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -111?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-12 - (19 + -32)) - (-2 + 45)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -6 + 3 - 3 - 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1791 + 2391. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252*19\/(-152))\/((-21)\/(-28)))\/11.\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2 - 2)\/(20\/(-8)). Suppose j*d = -4 + 32. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4 - -5. Let g = m - -0.3. Suppose 20*l - 139 = -99. What is the closest to l in -1, -2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220379801 a multiple of 2478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 319699433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, z: 1}. Give prob of sequence gi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 3*b + 2. Let x be r(-4). Let n = 4 + x. Suppose 4*k = -5*w + 27, -2*k = -k + n*w - 9. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 53166336.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w + 0*w**3 + 0*w**4 + 0 + 1\/12*w**5 - 24*w**2. Let p(r) = 3*r. Give p(g(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -18, -72, -138, -210, -282?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, h: 1, o: 6}. Give prob of sequence aooo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20705301.\nAnswer: 3, 139, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - (-6 - (1 + 3)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 4 + y**3 - 149*y + 151*y - y**2 - y**2. Calculate t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 245*g**3 - 1 + 15*g + g**2 - 244*g**3 in the form s*g**3 + d*g + m*g**2 + h and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 12*j**2 - j - 13. Let m be n(13). Suppose 0 = -4*a - 7*f + 4*f + m, -4*a + 3*f = -113. Suppose -2*d + 6*d = a. Solve d*i - 3*i = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1017, 2072, 2929, 3588, 4049, 4312, 4377?\n\"Answer: -99*x**2 + 1352*x - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12054*0.003\nAnswer: 36.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 18260.\nAnswer: 419980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 - 51*b**4 - 207*b**3 - 345*b**2 - 258*b - 72.\nAnswer: -3*(b + 1)**3*(b + 2)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2480 and 43\/8.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 6. Find r, given that -2*r**2 + 4 - 4 + 0*r**2 - 2*r**u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/((-2)\/30). Suppose -29*v + 15*v = 0. Suppose v*o = -u*o + 84. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/7 - 2325114*y\/7.\nAnswer: -3*y*(y + 775038)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m - 33 = -3*t, -72 = -5*t - 4*m. Calculate the lowest common multiple of 86 and t.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r - 7*r. Suppose 0 = -k - 2*c + 6, -5*k - r*c - 6 = -24. What is the first derivative of 0 + k - 7*g - 3*g - 12 wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/12 - k**3 + 3*k**2. Let m be w(5). What is the remainder when m\/(-10) + (-54)\/(-10) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7*i - 34 = 2*k, -4*i - 24 = k. Let y be 3\/(-24)*-22 - k\/64. Solve y*l + 2*l - 12 = -4*o, -4*o = 4*l - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssvsv. What is prob of picking 4 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 3*i + 2*i**2 + (2*i - 1 + 1)*(i + 2 - 2) + 3*i**2 + 16*i - 16*i in the form u*i**2 + g*i + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338169 is divided by 885.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (158\/(-22) - -4) + 3\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 39. Suppose -2*o = -w + 3. Suppose o*a = 7*a - 90. Calculate the greatest common factor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 20*i**2 - 16*i + 13. Calculate the remainder when p(-5) is divided by 186.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/(-8))*(-20)\/(-17480)*-19.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*q - 2810, q + 4666 = 5*z + 2*q. What is the units digit of (-3)\/(z\/(-3960) + 20\/90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-6)\/18*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 142 = 2*d, -4*d - 2 = -6*d. Find the second derivative of 3*l**3 - i*l + 2*l**3 + 34*l wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7625 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0 (c) -2 (d) -1 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:54 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 7*a**2 + 8*a + 8. Give b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5539836*c - 64 + 5539883*c - 26 to the form u*c + k and give k.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(612) - (-3 + sqrt(612) - sqrt(612))*-4)**2.\nAnswer: -432*sqrt(17) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97482883 + 97482977.999947. Let d = b - 95. What is d rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3293813, 3293815, 3293817, 3293819?\nAnswer: 3293821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 4*m - 580162 + 580147, 6*f + 4*m + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k - 634*k**2 - 24 + 1271*k**2 + 2*k**4 - 652*k**2 wrt k.\nAnswer: 24*k**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**2 - 19*w - 1. Let i(d) = -4*d**2 - 10*d. Let f(a) = -5*i(a) + 3*v(a). Suppose 4*u + 24 = -0*u. Let h be f(u). Solve 1 = -4*n + h*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f + 2 - f**3 + 10*f**2 - 6*f**2 + 3*f.\nAnswer: -(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**2 + 8*j + 2*j**2 - 2 - 5*j. Let o(l) = 1. Determine 3*o(c) - v(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.012495 - 3.9.\nAnswer: 3.112495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/20 + l**4\/2 + l**3\/3 - 3*l**2 + 2*l + 60. What is the units digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, v: 2, q: 3, o: 4, c: 1}. What is prob of picking 1 g, 1 c, and 1 o?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 3. Let w be g(-3). Let h(n) = n - 4. Let p(j) = -3*j - 3*j + 5 + 5*j. Give w*p(d) + 7*h(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**2 + 3*c. Let g(b) = -b**3 + b**2 - b. Let a(k) = 4*g(k) + h(k). Does 7 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.32545487429184107 - -1728684181.32545423229184107. Let i = r + -1728684169. Let n = i - -3. Round n to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Two letters picked without replacement from ppppppppppppscrscpr. What is prob of picking 1 r and 1 s?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(1\/2)*z)**(-49)\/(z**6*z**(-7))*(z\/(z*z**(-2\/3)*z))**(-3\/4)*z**7*z**8 assuming z is positive.\nAnswer: z**(-425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/3*v + 0 - 4\/3*v**2.\nAnswer: -4*v*(v - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5836162 divided by -5836162.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 555.399982941 + -555.4. Round f to seven dps.\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 443344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(23*i - 7*i + 6*i).\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - 376\/(-7). Let i = d - 34. What is the units digit of 86\/10 + 8\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 66 (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51648, -51647, -51646, -51645?\n\"Answer: b - 51649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2991.7842 months in years?\nAnswer: 249.31535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101002 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30 + (-12)\/(-20))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2 + k. Let o(y) = -10*y**3 + 3*y**2 - 7*y. Determine o(s) - 3*v(s).\nAnswer: -7*s**3 - 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62928 is divided by 290.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -185, -682, -1495, -2624, -4069, -5830?\n\"Answer: -158*s**2 - 23*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6*r + 4*r + 7 = 0, -4*w = 2*r - 22. Suppose 3*d = -n - 4, w*d = 4*n - 29 - 6. Which is the nearest to 2\/15? (a) n (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 462.0561cm?\nAnswer: 4620.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -10*b - 2. Let c(p) = p + 4. Calculate c(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/125, -14, 0, -63 in decreasing order.\nAnswer: 2\/125, 0, -14, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - 194\/8. Let c be 12\/(-30) + d\/(-10). Let z(h) = -3*h + 7*h**c - 3 - h**3 - 4*h**2 + 7*h + 2*h. Determine z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367058996?\nAnswer: 2, 2659, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/1 - (-10 - -18). Let q be j\/(-3) - 91\/(-21). Let x(s) = 8*s**3 - 5*s - 6. Let a(c) = -7*c**3 + 5*c + 5. Calculate q*x(g) + 6*a(g).\nAnswer: -2*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4570, -9048, -13526?\nAnswer: -18004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149976 + -151222.33. Let v = 1253 + n. Let l = 7 - v. What is l rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 14 = 13*t. Solve 0 = -7*v - t + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324869251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-880)\/6)\/(0 - (-2)\/15000). What is o rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 2*k**2 + 2*k + 6. Let n(u) = 2*u**3 + 2*u**2 + 3*u + 6. Calculate -2*n(w) + 3*s(w).\nAnswer: -w**3 + 2*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-10)*175\/1650*55*-4.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + -6. Let m = w - -8. What is the third smallest value in -2, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 + m**3 + 5*m**2 - 2 + m**3 + m**2. Let v = 17 - 10. Let g(l) = 6*l**3 + 5 + 6*l**2 + l**2 - 12. What is v*h(u) - 2*g(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618032801.\nAnswer: 31, 1607, 52553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/5 + 1029993*g\/5 = 0.\nAnswer: 0, 343331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/42 - -2) + (-2)\/(-3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*v = -10, -3*f - 96*v - 6 = -97*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*u = 179*u - 18, -3*z = 5*u + 33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 - 4*u + (2*u + 0*u + 0*u)*(-2 - 4 + 3) as z + o*u and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y + 12 - 36. Let l be 1*y*(-2)\/(-4)*1. Which is bigger: l or -1\/174?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 - 29 = 3*s, s = 2*b - 15. Suppose -b*d - 3*j = -84, -5*j = 4*d - 6*d + 15. Let x = d - 8. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 8 - (-3 + -1). Let k be 2\/(-5) + s + (-4470)\/75. Let o = k + 100. What is the remainder when 79 is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsex when four letters picked without replacement from {w: 10, x: 2, e: 3, u: 2, s: 3}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281050838?\nAnswer: 2, 43, 53, 197, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minus -115?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273007 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccnccuucc. What is prob of sequence uc?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.660709.\nAnswer: -0.3303545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1531248326?\nAnswer: 2, 765624163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2. Let m(b) = 3*b**2. Suppose -3*j + 12*i + 32 = 16*i, j = -4*i + 24. Calculate j*m(p) + 10*s(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -859*d**4 + 1969*d**2 wrt d?\nAnswer: -20616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + (-19 + 11 - -29) + -42.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a**(8\/5))\/((((a*a**(-3\/8))\/a)\/a)\/a**(-2\/17)) assuming a is positive.\nAnswer: a**(1807\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.4 - 60.6. Let o = 67.5 + i. Does 2\/7 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-24) - 20\/((-6000)\/(-2695))) + 9.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (124\/16 - 4)*4. Suppose 0 = r*l - 9367 - 8963. What are the prime factors of l?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -74*i + 2. Let s(c) be the first derivative of -c**6\/180 + 71*c**3\/3 - 102. Let l(h) be the third derivative of s(h). Calculate l(t(k)).\nAnswer: -10952*k**2 + 592*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9726622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 6)*(2*r - r**2 - 2*r)*(r**2 + 2*r - 2*r) as d + h*r**4 + a*r + z*r**2 + c*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139992078.\nAnswer: 2, 3, 67, 348239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/104786 and -12\/52393.\nAnswer: 104786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163499870 by 7.\nAnswer: 163499870\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 - 7*h + 21*h - 5*h - 6*h + 13 in the form f*h + l and give l.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.39478ng to grams.\nAnswer: 0.00000008439478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s**2 - 8 + 8*s**2 - 10*s + 0. Suppose 28 = 4*l - 2*p, 3*p + 0 = l - 12. What is the remainder when m(-6) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbaaembmmmhmm. What is prob of picking 1 b and 1 m?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 220 = -0*v. Let c = 44 - v. Do c and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 5, g: 5, v: 2}.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922 is divided by 127?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719.14308 rounded to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 166213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4249.\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from klkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 286*l + 325*l - 612, -3*o - 73 = -4*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 789 (b) -29 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*u - 59*u - 56*u + 122*u**3 + 175*u as t + w*u + s*u**2 + f*u**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:06 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*u - 9041, 4*a + 22*u - 9020 = 26*u. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.75+-24\nAnswer: -6.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(0 + 1 + 1) + 16 - 14 + 5 - 3 + 0 + 1 - 35 + 19 + 8 + 5 - 4 - 3 + (1 - 2 + 3)*(5 - 3 - 3) - 2 - 2 + 3 - 2 + 2 - 1)*(-2*x + 0 + 0).\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - -34. Let a(z) be the first derivative of z**3 + z**2 - 2*z - 4. What is the remainder when h is divided by a(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + -9. Let w = u - -18. Let f(y) = y**3 + 4*y**2 + 11. Let r be f(0). Solve 6 = -5*o + 1, w*q + 3*o + r = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*w + 3*c, 5*w - 2*w = -5*c - 15. Suppose w = -0*b + 2*b - 10. Calculate the highest common divisor of 35 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -188904, -755813, -1700726, -3023643, -4724564, -6803489?\n\"Answer: -189002*z**2 + 97*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -7*p + 15. Let n(x) = -6*x**2 - 3*x + 0*x**3 + 4*x**2 - x**3 + 2. Does 12 divide n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10*1)\/2 - (-11 - 4). What is the highest common factor of u and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i**2 - i**2)*(-3*i - 2*i**2 + 2*i - 3 + 0*i).\nAnswer: -6*i**4 - 3*i**3 - 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2579859*187.\nAnswer: 482433633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6624 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3952 + 3955. Solve j*m + 352 - 343 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005165437 rounded to five decimal places?\nAnswer: -0.00517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 592 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 5*p + 12. Suppose p*r + 66 + 169 = k, -4*r + 2*k = 310. What is the remainder when r\/(-8)*2\/2 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 47010\/(-102) - (-8)\/(-68). Is 12 a factor of (x - 1)*(-264)\/154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/175*-3)\/(96\/(-128)*-4).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/(-6)*-3*-2 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 9*i = -33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - 7.16. Let y = 6.9 + k. What is the second biggest value in y, -1\/2, 2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*w + 1408*w + 23904 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975, 971, 967, 963, 959?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34266 divided by -6\nAnswer: -5711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d - 2. Let h = -30 - -27. Suppose y - 3*y - 35 = 5*x, -4*y + x = 15. Let v(f) = -7*f + 3. What is h*v(k) + y*b(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3059 and 6440.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 18*x**2 + x + 2. Suppose 105 = 5*k - 0*k. Let l = 5 + k. What is the remainder when h(2) is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6926246 divided by -158\nAnswer: 43837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 9.7\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2. Suppose 5*k - 25 = 4*z, -k - 1 = -z - 6. Suppose -w - 10 + 8 = z. Calculate r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43a1342 (base 11) in base 3?\nAnswer: -112112002111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5 = 5*b - 12, 4*b = -3*x - 21 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lurrlutmrtrlrr. Give prob of sequence uurr.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610484?\nAnswer: 2, 7, 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, 2\/7, 1\/7 in decreasing order.\nAnswer: 255, 2\/7, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 162471470.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 38 = -4*t. Suppose 8*j + 4 = 4*j. Let m be (-1)\/(-1)*(-2 - j) + 13. Is t <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/2 of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 14 = 4*f, 4*p + 0 = 4*f - 20. Suppose 11 = 3*j - f. Suppose -6*k = -k + 2*y - 1459, 4*y + 1477 = j*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1280, 5, -437, 0.5 in increasing order.\nAnswer: -437, 2\/11, 0.5, 5, 1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {g: 7, d: 7}.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*s = -14, 3*s + 52 - 39 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12 or -3253.49?\nAnswer: -3253.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7894 + -4931. Let b = 5475 - q. Calculate the lowest common multiple of 1 and b\/48 + 2\/(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/66)\/(10\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -62. Let v(d) be the third derivative of 0 + 0*d**3 + 6*d**2 - 1\/20*d**6 + 0*d + 0*d**5 - 1\/8*d**h. What is the second derivative of v(c) wrt c?\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**2\/2 + 111*s + 4107\/2 = 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1655349 and 24592.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 (base 6) in base 11?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4002.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 0*v**3 + 5*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 19*h**3 - 17*h**2 - 2*h + 2. Let u(n) = -58*n**3 + 52*n**2 + 7*n - 7. Let l(b) = 7*f(b) + 2*u(b). What is the third derivative of l(g) wrt g?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -300, 10, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -587 + 589. Let g(r) = -16*r**2 - 15*r**d + 34*r**2. Let l(b) = 3*b. Let n(c) = 35*c. Let o(i) = -25*l(i) + 2*n(i). What is g(o(y))?\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 18. Let b(d) = 2 - r + d - 5. What is b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m - 2. Let h = 2560 + -2557. Let r(g) = 4*g - 2. Give h*r(c) - 2*w(c).\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 119813084 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 + 1860*g**3 - 11295*g**2 + 16990*g - 7560 = 0?\nAnswer: -378, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/(-1368))\/(-3*(-10)\/20)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84676 is divided by 7620.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 69174 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 7*u**2\/2 - 1. Let j(y) be the first derivative of -2*y**3\/3 + 2. Determine j(a(q)).\nAnswer: -98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**8\/32 - 2*y**7\/105 + 11*y**6\/240 - y**5\/60 + 8*y**2. Find k such that o(k) = 0.\nAnswer: -1, 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007558 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.5 - -12. Let t = v + -3. Let r be 2\/(-2) - 15\/(-18). What is the third biggest value in t, 3, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4\/2 + 111357*a**3\/2 - 15970977*a**2\/2 - 82193637*a\/2 - 33055650 = 0?\nAnswer: -4, -1, 149, 36975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1225 + 1227. Solve 3*z = c*z - 15*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -4 - (4 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58.8 - -66. Let w = h + -1.2. Let i = 5.5 - w. What is the third smallest value in i, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 4*d + 15 = 0. Suppose 3*u + 48 = 7*u. Suppose d*c - 6*c + u = 0. Calculate the remainder when 6 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*g + 32 = 0, -4*l - 2*g = -7*g + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 13) to base 5.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 22387280000*p**6\/3 - 97336000*p**5 + 529000*p**4 - 4600*p**3\/3 + 5*p**2\/2 + 3*p - 2267. Solve x(k) = 0.\nAnswer: 1\/460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/18)\/((-14500)\/3480).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, 2\/5, -0.17, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 7*s = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0 + u**3 + 0)*(79 + 20 + 58).\nAnswer: 157*u**3 + 314*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34181579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43965 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 c**(-5\/6)\/(c*c**(-28)*c) assuming c is positive.\nAnswer: c**(151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 52618 = 3*k, 46*k - 47*k - 4*q + 17545 = 0. Suppose -k = -31*h + 175682. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000616 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from aaajaaaaaaajaaja?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(150))\/sqrt(3)*-3.\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b - 5 = 0. What is the third biggest value in 0.3, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18705 and 6.\nAnswer: 37410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-345)\/(-39) - 28\/(-182). Solve -d = -u + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 8 - 7. Suppose i - r = 4. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:42 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-420)\/536)\/(-35))\/(2\/2)*(-480)\/360\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7625 is divided by 143.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 333418 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26956 - 8423. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 40146*b + 40148.\nAnswer: -2*(b - 20074)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1488, -2977, -4468, -5961, -7456, -8953?\n\"Answer: -s**2 - 1486*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(700) + sqrt(700))**2 + -1*sqrt(5103).\nAnswer: -27*sqrt(7) + 11195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 10*k**2 - 5*k - 14. Let n be b(-10). List the prime factors of (((-8)\/10)\/(-1))\/(n\/450).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o**2 + 12*o + 6. Let c(w) = 120*w**2 + 130*w + 65. Let f be -62 - 1*4*27\/36. Let t(g) = f*m(g) + 6*c(g). Let v(h) = 4 - 4 + 3*h**2. Give v(t(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -76767 bigger than -76765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54565.85ml to litres.\nAnswer: 54.56585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46982250 and 27930?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576747.\nAnswer: 1576747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.36 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012102000010 (base 3) in base 15?\nAnswer: -2e15d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 100. Let g be o(-26). Solve g = -4*p + 3*k, 4*k = -11*p + 6*p - 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -3*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818583813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -113193438 from 3.2.\nAnswer: 113193441.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/21 - 5\/21. Which is the closest to -1? (a) 4 (b) 1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -12 - 6) + 25 + -51 - (16 + 0)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6487 is divided by 3216?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 - (1 - 3) - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 1:49 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158149.\nAnswer: 167, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59231.42m to micrometers.\nAnswer: 59231420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-5) + (-6)\/15. Suppose i + 119 = 2*k, 5*k - i - 93 = 200. Let c(l) = -l + 27 + 25 - k. What is c(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 124913840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202.35 - -207. Let c = u + 1.35. Sort 1, 5, -0.5, c in ascending order.\nAnswer: -0.5, 1, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42313 + 5*b - 4*b + 42319.\nAnswer: b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 + 1. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4972, 10467, 15962, 21457, 26952, 32447?\n\"Answer: 5495*q - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25714 and 0.02581.\nAnswer: 663.67834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -40605101?\nAnswer: 40605123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkknkkkkknk. Give prob of picking 2 k and 1 n.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2, 7, -24\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -5, -1, 2\/17, 62?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/4)\/((-12)\/(-4)*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/5 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 - 170 = 55*m + 27 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b)\/(b*b**1))\/(b\/b**(-1\/3)*b*b**(-2)) assuming b is positive.\nAnswer: b**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1256)\/157*3\/(-528)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 290275.4 decades?\nAnswer: 34833048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 42169.517 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(612) + 0 + sqrt(612) + -4 + sqrt(612) + (sqrt(612) - sqrt(612)*1) + -2 + 4*(-1 + sqrt(612) - sqrt(612)) + 3)**2 + 1)*6.\nAnswer: -648*sqrt(17) + 33108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p = -1, -5*f - p = -59. Find the first derivative of -c**3 - f*c + 12*c - 4 + 0*c**3 wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-1*(2 - 1). Suppose -53*f = -39*f + 1610. Let u = -112 - f. Put d, u, -1 in descending order.\nAnswer: u, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 y when four letters picked without replacement from yuuvvuuuhvuu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (3 - -1) + 5 + -6 + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f + 6. What is y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/44*(-2101)\/(-1146).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**2 + 0*v**2 + 0*v**2)*(118694 - 50989 - 56285) to the form n + s*v + y*v**2 and give y.\nAnswer: -22840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)*3*4. Let v be -3 + q*1 - 3. Let r = v - -34. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/6 - 7*h**3\/6 + 5*h**2 - 8*h. Let a be o(2). Suppose 7*i - a*i - 3*i**2 - i**3 - 5*i = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -3 (b) -54\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 4, 4\/3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38566744?\nAnswer: 2, 17, 283579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 17*v**5\/20 + 59*v**4\/12 + 63*v - 70. Let z(p) be the first derivative of w(p). What is the third derivative of z(c) wrt c?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 30*c - 8*c - 57*c.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7\/4)*(k**6\/k*k*k*k*k)\/k)**(-1\/21) assuming k is positive.\nAnswer: k**(-25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*y = 42, y + 0*y = 2. Suppose 0*f - 4*f - 96 = 0. Let j = m - f. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212196535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 27*w = 28*w - 19, -4*l + 2*w = -18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 16*g + r + 5 = 0, 4*r = 2*g + 8. Let o(f) = f**3 - 5*f**2 + 10*f - 3. Let z be o(g). Solve -v + 9 = -0*k + 2*k, -z*v + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817*y - 3520 = -849*y. Calculate the remainder when 653 is divided by y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17134349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 - -0.268622?\nAnswer: -241.731378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:21 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggegggggggegg.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let v(c) = -2377*c**2 - 5. Give v(l(h)).\nAnswer: -2377*h**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t**2 + 3*t - 6*t**2 + 17*t**2 + 0*t + 1. What is f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(12\/(-108)*-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31279 and 1023031?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 10*v - 195. Let p = -32 + v. Calculate the remainder when 19 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:31 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -5, 3430 in descending order.\nAnswer: 3430, 148, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m**2 - 201*m - 770. Calculate z(-15).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1265\/387 + 12517\/1935. Let k*y**2 + 36\/5 - 2\/5*y**3 - 42\/5*y = 0. Calculate y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 - 5*o + 12. List the prime factors of t(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -58 (c) -1\/6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 2*t - 25. Suppose 3*i = j + 2, t*j - 16 = -4*i + 3*j. Solve s + 2*n + 5 = 0, -10 = s + i*s + n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -0.202131382.\nAnswer: 5.797868618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*b - 25, -4*b = -5*p + 9*p + 40. Put p, 0.06, 0, 5 in descending order.\nAnswer: 5, 0.06, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 13, j: 2, q: 3}. What is prob of picking 2 q and 2 j?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*v + 46 - 205, 50 = -2*h + 5*v. Let r = -22 - h. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(200)*-2 + sqrt(8)).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 18. Suppose -k = -4*w + 34, 0*k + 4*k = -2*w + b. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + x - 205 = 0, 5*u + 3*x - x - 254 = 0. Suppose 5*q - u + 7 = 0. Solve 3*d - 24 = -q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -262. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {f: 1, y: 2, g: 1, q: 7, i: 4, a: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 - -3 - (2 + -1). Calculate the common denominator of -6 + 12 - 3\/a and -13\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 - 97 = 20*u + 201 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -2*z, 2*v + v - 5*z - 74 = 0. Find the common denominator of -3 + ((-190)\/v)\/(-1) and -59\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 23*r**6\/21 + 82*r**5\/5 + 2855*r**4\/42 - 50*r**3\/21 + 179*r + 1. Factor t(b).\nAnswer: 2*b*(b + 5)**2*(115*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 12 = 3*f. Solve 2*m - m - f*c = -15, 5*m + 40 = 3*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d, 2*d - d = 4*s - 14. Suppose -s*a = -5*g + 3379, 10*g = 6*g + 5*a + 2698. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**7\/105 + k**5\/30 - 3*k**2. Let i(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*m**3*u**2 + 84*m**3*w**2 + 2*m**2*u**2*w**2 - m*w**2 + u*w**2 wrt u.\nAnswer: -176*m**3 + 4*m**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 516460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by -36.\nAnswer: 71\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) + 7\/(-30). What is the closest to -0.2 in g, 0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 306.1376 + -298.6. Round w to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*2\/(-4))\/(2\/(-6)). Suppose 4*l = -y*k - k - 4, -3*k + 1 = 5*l. What is the units digit of 2 + (k - 3)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*50\/75*3\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-10)*5\/2. Suppose 0 = -l - 5*p + 1 - t, 0 = l + p - 9. Solve y - l = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7826 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:01 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 153*h**2 + 2298*h + 29. Give o(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*f = -1249, 4*f = 14 - 2. Let u = p - 690. Suppose 5*a + u = 2085. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135594499439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15152*m**2 - 15152*m**2 - 792 + 2*m**3 in the form r*m**2 + d*m + q*m**3 + o and give o.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3532 + 0.5.\nAnswer: 3532.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) + (sqrt(125))**2)*3 - 3*(sqrt(605) + (sqrt(605) - (2 + sqrt(605)))).\nAnswer: -30*sqrt(5) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88305199 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5873*o**2*r**2 - o**2*r - 6*o*r + 652*o wrt r?\nAnswer: 11746*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 728 + -726. Suppose -z + 3 = 0, -4*x - 36 = -2*z - 90. Suppose 0 = -0*j - 3*j - x. Which is the third smallest value? (a) q (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 - 1756*i**4 - 774388*i**3 - 3076512*i**2 - 3069504*i = 0. Calculate i.\nAnswer: -876, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:18 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lall when four letters picked without replacement from lllalllllllllll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 24 = -6. Let s(n) = -6 - 9 + 4 - 3*n + 2*n. Give s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*m*t**4 + 2*m*t + 17*m + 2*t**5 - 2*t wrt t?\nAnswer: -1812*m*t**2 + 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 102*m - 113*m. Which is the fourth smallest value? (a) 12 (b) 3 (c) 0 (d) 8 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/120 - 7*a**5\/60 + 3*a**4\/8 + 4*a**3\/3 - 17*a**2. Let l be h(5). Solve 0 = 5*s + 3*t + t, -l*t = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m + 9, 4*b + m = 27. Suppose b*o + o - 3059 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 2419?\nAnswer: 4838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 11*v**3 - 16*v + 0*v.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 15664980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.32, 0.2, 34, 0.4, -3, -968?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-29*h - 19*h**3 + 29*h)*(-5*h + 4*h + 0*h) - h**4 + 2*h**2 - 2*h**2.\nAnswer: 37*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/6)\/(1715\/(-2058))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -95*d - 4567. Calculate i(-43).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t - 60. Let j be 66\/t + (-1)\/(-5). Let s be 10\/15*(0 + 1\/3). What is the nearest to -1 in s, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -222189.11598 and 805.76?\nAnswer: 222994.87598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95214454 is divided by 1337.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 3*m**3 + 5*m**3)*(-m - 4*m + 4*m + m - 2*m + 2*m + (2 - 3 + 2)*(-4*m - m - 2*m)).\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 19*b - 70 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1273, 1254, 1233, 1210?\n\"Answer: -d**2 - 16*d + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*u + 17156 = -2*u, -5*v = 3*u - 21405. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 98\/(-6) - (0 - 15). Let j be (-4)\/5 + (-2)\/(-5). What is the third biggest value in j, x, -2, 0.12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6313269 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 313 - 9*w - 322 + 3*w + 6*w - 2*w - 11*w + 1 - 1 + 2*w + (1 + 4 - 4)*(w + 3*w - 3*w).\nAnswer: -10*w - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(17) - sqrt(34)\/sqrt(2)*3) + sqrt(68)\/sqrt(4)*1))**2 - (sqrt(425)*5 - (sqrt(272) + -1)**2).\nAnswer: -33*sqrt(17) + 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:51 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**3*l**3 - 2*g**3*l - 14222*g**3 + g**2*l**3 + 2*g*l + 2*g + 9005*l**2 wrt l.\nAnswer: 30*g**3*l + 6*g**2*l + 18010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/2 - d**3\/3 + 38. Let z(o) = -3*o**3 + 6*o**2 - 2*o + 4. Let k(t) = 2*r(t) + z(t). Determine k(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17139 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = 184*q - 40*q + 4872 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -41. Let b = 2.909 + w. Let n = 0.309 - b. What is the smallest value in n, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from orrggyggrggg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1742 - 1262 = 0. Let f = 7497 + y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 4)\/((-3)\/(-8)). Let u = 3 - 14. Let n = t + u. Which is the smallest value? (a) -4 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3111 (base 4) to base 16.\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 454\/(7\/(13 - -1422)). What is u rounded to the nearest one thousand?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/3 - 125521*k**4\/3 + 1314737144*k**3 - 111527782344*k**2 + 2423139031152*k - 2312925944112 = 0. What is k?\nAnswer: 1, 42, 62718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 458 and 1046530.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03711 - 21.03289. Let m = b - -21. Let j = -0.0688 - m. What is j rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose g - 146 = -0*a - 5*a, g + 4 = h. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1729.\nAnswer: 2\/1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from kkoksukbkkkkkk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 + g + 1. Let v(t) = 9*t**3 + 14*t**2 - 37*t - 5. What is 5*u(o) + v(o)?\nAnswer: 4*o**3 + 9*o**2 - 32*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - ((-32)\/28)\/(12\/56). Solve p + 2\/3*d - 2\/3*d**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -10001111100000110111000000?\nAnswer: 10001111100000110111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:11 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075671 rounded to 5 decimal places?\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*v + 2 = 0, -2 = 4*v - 2*v. Let g be m\/(-5) - 135\/(-75). Solve g*c + 30 = 4*z, 4*c + 3*z = 3*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -75. What is the lowest common multiple of 10 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 219.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 55*f**2 - f + 128. Give m(55).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -8*x - z, -2*z = -x - z + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -26*l - 573. Determine u(-17).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*f - 15*f - 81 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11) + 0) - sqrt(891)*2)*4.\nAnswer: -88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 4 - 1 - 8)*(4*p**3 - 20*p**3 + 9*p**3).\nAnswer: -70*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(176) - sqrt(176)))**2 + (-3*(sqrt(176) - (2 + sqrt(176))))**2 + 1.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485 divided by 28434.\nAnswer: 485\/28434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuw. What is prob of picking 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/946 and -17\/2408.\nAnswer: 26488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) 33 (d) -141.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - p**2 + p + (2*p - 6*p + 3*p)*(-2*p + 1 - 1))*(30*p + 6*p**2 - 30*p) as i*p**4 + j*p + w*p**3 + b*p**2 + m and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/7)\/z)\/z**(-1)*(z**(-1))**33)**8 assuming z is positive.\nAnswer: z**(-1824\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = 59. What are the prime factors of 103\/5 + (-8)\/n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001111100 + 10000101?\nAnswer: 110100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 14*o + 24620 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 4, -9.601, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*b + 19, 362 = -b - 30*u + 822 - 308 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:07 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1507.9993592 + -1508. What is z rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 1, b: 1, k: 1, p: 1, r: 2}. Give prob of sequence prfp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -16*c + 152. Let v(z) = -z + 9. Let t(s) = 6*m(s) - 104*v(s). Calculate the remainder when t(11) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 954 by -3.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + p + 0*p + 51 - 51 + 31*p - 2 - 2*p + 2 + p - 5 + 5 + (0 - 2 + 1)*(0 + 0 - p) - 4 + 4 + 2*p as c*p + d and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6479 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**4 - 272890*c**3 + 9009875*c**2 - 51333560*c + 42596580 = 0.\nAnswer: -54611, 1, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 = -z - 100. Let t = z - -829. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -749790*l + 1400427 wrt l?\nAnswer: -749790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.02317 minutes?\nAnswer: 481.3902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/30317 and -37\/287238.\nAnswer: 1244027778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57783750 a multiple of 2375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153)\/(sqrt(9)*2))**2 + (sqrt(612) + 2)*3.\nAnswer: 41\/4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**3 + 6*x**2 - 19*x - 75. Is q(-5) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 0 - 18 + 12*t + 13 + 14*t**2 + 7 - 18. Let x be 1*-13 + (-1 - -1). Let k be w(x). Put -2, k, -1, 0 in increasing order.\nAnswer: k, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 20 = -2*v - 4*y, -3*y - 21 = 2*v. What are the prime factors of (v\/15)\/((-8)\/140)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7280711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a. Let k = -33 + 38. Suppose k*x + 20 - 50 = 0. Let l(r) = -6 + 4*r + x. Give l(w(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 854239.8 decades?\nAnswer: 85423.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/4, -0.061701, -1745, 0.3?\nAnswer: -0.061701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 351.42 - 49.22. Round v to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.2 (c) -0.002 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1\/2*q**2 + 4*q - 10\/3*q**3 - 4. Let n be (9 - 4)*(-1 - 0). Let u(v) = -7*v**2 - v + 3. Determine n*g(s) + 7*u(s).\nAnswer: s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 627*j**3*m**2*p**2 - 66*j**3*m - j**2*p + 2*j - 2*m**3*p**2 + 2*m**3 wrt p?\nAnswer: 1254*j**3*m**2 - 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 18*q**2 - 344*q - 205. Determine d(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1272*c**2 + 5*c + 5. Let k be y(-4). Let d = 35230081\/1780 - -253948\/445. Let n = k + d. Calculate the common denominator of n and 13\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ltgtetott.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 22 + 26 - 10 - 12*i.\nAnswer: -12*i + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337481798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32476853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20. Let u be (7 + p + -2)\/(-1). Is -5 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3 - (-7 - -3)) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26474, 26478, 26482, 26486, 26490, 26494?\n\"Answer: 4*k + 26470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p. Let q(b) = b. Let y(u) = a(u) - 2*q(u). Let o = 9 - 7. Let h(g) = -o*g - 2*g + 2*g + 4*g. Calculate h(y(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 - 3. Let k(a) be the second derivative of 0*a**2 - 1\/12*a**4 + 2 + 0*a**3 + 2*a. What is k(x(p))?\nAnswer: -16*p**4 - 24*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-3))\/(-6) - 4\/6. Put n, 0.3, 2, -2 in descending order.\nAnswer: 2, 0.3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/13))**(-40\/3))**(-31\/2) assuming z is positive.\nAnswer: z**(1240\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t**4 + 0*t**6 + 52*t**2 + 0*t + 0 - 37\/210*t**7 - 2\/3*t**5 + 0*t**3. Find the third derivative of w(i) wrt i.\nAnswer: -888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25524 + 25569. Let z(f) be the first derivative of 0*f**2 + y + 0*f**4 + 0*f - 44\/3*f**3 + 3*f**6 + 0*f**5. Find the third derivative of z(u) wrt u.\nAnswer: 1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1881385*w**2. Let s(o) = 5*o**2. Determine s(l(r)).\nAnswer: 17698047591125*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -2*w**6\/15 - 2*w**5\/5 - w**4\/3 + 21*w. Suppose j(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589418 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -27*f**3 + 10*f**2 + 15*f. Let y be i(-2). Suppose -x = 2*x - 441. Let p = y - x. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k**2 + 3289*k - 19816. What is p(6)?\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 10*j = 4. Solve -3*i - 12 = 4*s, 3*i + 2*s + 6 = j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = p. Suppose p*c = 20 + 36. Let s = c + -7. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44245\/30 - (-2)\/12. Is i\/45 + 2\/9 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2104729?\nAnswer: 11, 191339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32014 + -103?\nAnswer: 31411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(78)\/sqrt(3))\/sqrt(2))**2) + sqrt(208)*5.\nAnswer: -13 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 21*i**2 + 1355*i + 28552. Give g(-21).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + -2969)\/(117 + -109 + (-419)\/52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-2)\/6*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/17395 and 62\/5?\nAnswer: 17395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, 4, 1118 in ascending order.\nAnswer: -5, 1, 2, 4, 1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0)*-2 + 0 + sqrt(108)*-2)**2 + -6*(sqrt(108) + 2)**2*4.\nAnswer: -576*sqrt(3) - 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 2*o**2 + 2*o. Let b(y) = y**2 - 6*y + 2. Let x be b(5). Let d be u(x). Let l(c) = 0*c + c**2 + 1 + 0 - d*c. What is l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.11 - -9.026. Let j = 3 + k. Let i = j - -0.0801. Round i to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-10) + (-84 - -84))\/(1\/40835) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. What is the second derivative of y - y**4 + f*y + 0*y**4 + y wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 7*d**2 + 11*d - 4. Let h be x(8). Suppose 5*u = u - h. Let j(k) = k**2 + 5*k - 1. Determine j(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 - 12*d - 30. Calculate a(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.2. Let q be (-49)\/(-42) - 2\/3. Which is greater: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 34 = -4*h - 0*h, i + 4 = -h. Let p(j) be the third derivative of -j**4\/24 - j**3\/6 + j**2. Let n(x) = 2 + 7 + 8*x - 4. Determine h*p(d) - n(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*i**2 - 114*i**2 + 6*i + 62*i**2 as w*i + d*i**2 + p and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*i = -10, -2*z - z + i = -15. Suppose 3 = z*l - 2. What are the prime factors of (3 - 2\/2) + l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + k**2 - 5*k**2)*(-k + 0*k - k) + (0 + 0 - 2*k)*(-k**2 - k + k) + 5*k**3 + 2*k**3 - 2*k**3 as y*k**3 + s + i*k + z*k**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 26 = -8. What is the derivative of -55*z**2 + 1119 - 2*z + b*z**3 + 2*z - 969 wrt z?\nAnswer: 6*z**2 - 110*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Calculate the least common multiple of f*(-9)\/6 + 6 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/20160 - 11*l**7\/5040 + 3*l**5\/4 - l**2 + 15*l. Let w(p) be the third derivative of b(p). Factor w(k).\nAnswer: -k*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42c417 (base 14) to base 6\nAnswer: 120251325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Let b = 1 + s. Let l = 8 - b. Solve -5*c = z + 29, 32 = -6*c + l*c - 3*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 5*y + y**2 + (y - 2*y + 0*y)*(3*y - 2*y - 3*y) + (-y**2 - 2*y**2 + 5*y**2)*(98 + 147 - 16) + 3*y**2 - 3*y**2 + 4*y**2.\nAnswer: 465*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364956112 divided by 4?\nAnswer: 841239028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d - 2*f + 2094, -4*d + 2*f + 2106 = 0. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 80084177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -372 - -242. Let a = 129 + d. Let m = 137\/6 + -23. Sort m, a, 4.\nAnswer: a, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1340673 to the nearest ten thousand.\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17404 (base 8) in base 6?\nAnswer: -100432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -17*p - 141. Let l be k(-8). Put -21, l, -3 in decreasing order.\nAnswer: -3, l, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 340*b**3*z + 4*b**3 + 2*b**2*z + 36712*z with respect to b.\nAnswer: 1020*b**2*z + 12*b**2 + 4*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = 37*u - 439*u + 5334. What is the remainder when 3349 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -137*m - 120. Let c(r) = -84*r. What is c(o(b))?\nAnswer: 11508*b + 10080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -17. Let f be 8 + 0 - (3 - 1). Suppose -3*j - 5*a + 260 = 0, -f = -3*a + 6. Calculate the greatest common factor of y and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200725*j + 16950*j - 55244*j.\nAnswer: -239019*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606299 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3220230 (base 4) to base 10\nAnswer: 14892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(40))\/sqrt(8)*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a minute?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59699 + -59699.000202177. Round f to 6 dps.\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*d - 10855 - 2893 = 260*d - 368*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 1.4351.\nAnswer: 11.4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 - -30 - 177 - -129?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242511 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 2138009.\nAnswer: 44\/2138009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695 divided by -6?\nAnswer: 565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j - 9. What is the units digit of r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8836.44559 and -4.\nAnswer: -8840.44559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042 less than 0.1172484?\nAnswer: 0.1592484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -109*c - 83. Let z be p(-10). Let r = -708 + z. List the prime factors of r.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75959\/680 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150932*b**2*u + 1253384*b**2 + 2*b*u**2 - 2*u wrt u.\nAnswer: -150932*b**2 + 4*b*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 531, 1071, 1625, 2199, 2799, 3431?\n\"Answer: w**3 + w**2 + 530*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7026110, 7026127, 7026154, 7026191, 7026238?\nAnswer: 7026295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8865 is divided by 144.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 18. What are the prime factors of l(8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2495 or 36527?\nAnswer: 36527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -13 (c) 0.1 (d) -5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -302, -293, -284?\n\"Answer: 9*s - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*q + 43*q + 1290*q**3 + 43*q.\nAnswer: 1290*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 - p**2 - 11. Give y(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 8. Let s(t) = -8*t**3 - t**2 + t + 1. Let p be s(-1). Let v be q(p). Let l(z) = -10*z + 1. Determine l(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 4. Let g = -0.619 + -2.381. What is the third biggest value in -3\/2, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l - 10*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/79, 3, -0.2, -1 in ascending order.\nAnswer: -1, -0.2, -4\/79, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 2*v + 0*v)*(-163 + 339 - 159) to the form j + k*v and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 220?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2832073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -d - z, -5*d + 755 + 2663 = 3*z. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:18 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 3*j**3 - 2*j**2 - 7*j**3. Let q(g) = -78*g - 860. Let i be q(-11). Calculate a(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48244\/69 - -699. Let y = -5882875\/36 - -163413. What is the common denominator of y and x?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**4 + 168813*w**3 + 2376084672*w**2 + 35603297280*w = 0.\nAnswer: -28128, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 6675*q + 6675*q + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(8208) - sqrt(8208))*1)\/(sqrt(9)\/(-4*sqrt(3)*2)) + -5.\nAnswer: -192*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, and 1 r when three letters picked without replacement from yrkryn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 218*u**7\/7 + u**3\/3 - 65*u**2 + 69. What is the third derivative of q(k) wrt k?\nAnswer: 26160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 51 - 13 = 5*u, 2*c - 2*u = 76. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s**2 - 9. Let u(y) = y**2 - 3*y + 7. Let o be u(3). Suppose -k = -0*k + o. Let a(z) = 5*z**2 - 4. Determine k*a(r) + 3*l(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1303 - -1297) + (2 - 0 - 1 - -28).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 430935, 862614, 1294293?\n\"Answer: 431679*h - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/351*(273\/28)\/(-13)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 6 - 5*p - 3*p + 9*p. What is the least common multiple of 10 and n(-5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 10, b: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 782 + -4424035960.\nAnswer: -4424035178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + -2 - (-4 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1024*l - 1029*l + 15, 3*r + 4*r - 5*l + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/23 - 602\/483. Put -0.22, k, -5 in descending order.\nAnswer: -0.22, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 24 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.76 + -0.24. Which is the second biggest value? (a) -3\/8 (b) 0 (c) -2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 28*c + 15*c - 186*c - 3.\nAnswer: c**2 - 143*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23823 + 34310. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 10*q + 8. Let n be t(12). Let g = n + 23. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(45)*1 + 1)*-2.\nAnswer: -6*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (6\/12 + (-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 28*j**2 - 31*j - 67. Calculate r(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28424518 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: Let z(d) be the third derivative of -d**6\/120 + d**5\/10 - 5*d**4\/24 - d**3\/3 - 7*d**2. Determine z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13498.05 months in years?\nAnswer: 1124.8375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.21 + 7.21. Which is the third smallest value? (a) -25\/6 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from wxjwg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -35*g**3\/6 + 3*g**2 + 16*g. Let a(w) = -455*w + 80. Let x(s) = 3*a(s) - 40*z(s). Let v(f) = 3*f. What is v(x(m))?\nAnswer: 105*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2\/9 (c) 2\/17 (d) -154 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3173, -6367, -9561, -12755, -15949, -19143?\nAnswer: -22337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94521.28mm to kilometers.\nAnswer: 0.09452128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*p + 302 = 0, 3*p = 2*z - 4*z + 669. Let x = 327 - z. What is the fourth biggest value in -0.02, x, 0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3199526 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142783474?\nAnswer: 2, 73, 173, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2944578 divided by -32358.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4783*m**2 - 1558*m**2 - 1617*m**2 - 1610*m**2 + 2*m.\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*j**2)*(2*j - j + 0*j) - 4*j**3 - 4*j**3 + 0*j**3 to c*j**2 + l + p*j**3 + u*j and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 + 2*z - 3 + 0 - 5*z**2 + 2 + 3*z**2 as a*z**2 + u*z**3 + p*z**4 + k + l*z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6543103 litres in millilitres?\nAnswer: 654.3103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 6)*2\/3. Let a(r) be the third derivative of -17*r**4\/24 - 2*r**3\/3 + 37*r**2. What is the tens digit of a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -21*w. Suppose -4*l + 454 = 446. Let m(s) = 0*s**2 + 2*s**2 + s**2 - 12*s**l. Determine a(m(o)).\nAnswer: 189*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6999.257 kilometers?\nAnswer: 6999257000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89\/18 > 91.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -10*v + 55. Let k be 1\/((33\/36)\/v). Factor -9*g**4 + 1052 - k*g**5 - 1052 + 3*g**3.\nAnswer: -3*g**3*(g + 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 101*v**2 - 3*v. Let k(d) = -101*d**2 + 3*d. Calculate -2*a(x) - 3*k(x).\nAnswer: 101*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 - 3*x + 3. Let o(z) = -z + 1. Let b(a) = -a**3 - a**2 - a + 3. Let s be b(0). Let i(k) = s*o(k) - j(k). Let n(t) = 5*t. Calculate i(n(d)).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(78) - (sqrt(78) + sqrt(78) + sqrt(78)*1*6))\/(2*sqrt(96) - (sqrt(6) + sqrt(486)*-1)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2997 (base 15) to base 14\nAnswer: 336d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-8 - 4)*(-1)\/3). Calculate the common denominator of ((-3)\/(-15) + v)*131\/(-14) and -43\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/119 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 12:04 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/5175 and -77\/5805.\nAnswer: 667575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*l + 4, -l = -5*j - 6*l - 5. Suppose 3*o + 9 = 3*y, y - 2*o = 3*o - j. Solve -y*h + 0*h = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 683, 752, 859, 1004, 1187?\n\"Answer: 19*l**2 + 12*l + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 57*z - 450. What is the remainder when 481 is divided by p(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*5\/((-150)\/(-51)) and -37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -32. Let t be 7\/(u\/(-2)) + -1. Let j(v) = 3*v**2 + 2*v - 1. What is the smallest common multiple of j(t) and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - 4.3. What is the smallest value in 5\/3, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239921?\nAnswer: 11, 17, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Let d(m) = -4*m. Let f(z) = 4*z. Let h(w) = w. Let p(r) = 2*f(r) - 7*h(r). Let v(y) = -d(y) - 3*p(y). Give l(v(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -350 - 12?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -38, -70, -100, -128?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-7))\/(104\/182))\/((-35)\/5)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + (sqrt(99) + (1*sqrt(99)*-6 - sqrt(99)) - sqrt(99)) - -2*sqrt(99)*1)*-1)\/(sqrt(225)*-4 + sqrt(1296)*1).\nAnswer: -3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 15*k**3 + 3*k**2 - 4*k**2 - 6*k**3. What are the prime factors of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a + 13. Let p be r(-8). Suppose 25*m - 31*m = 0. Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.7 and 0?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.9 - 168375743199.\nAnswer: -168375743194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-12))\/m)\/(m\/m**(-1\/12)))\/(m**9\/m**(-10)) assuming m is positive.\nAnswer: m**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65052)\/18070)\/((-16)\/50)?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 4*c - c**2 - 21*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1530 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/9 + 112720*k**3\/3 - 14291993998*k**2\/9 - 19061891464*k + 20649853224 = 0. Calculate k.\nAnswer: -13, 1, 84546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 5, f: 3, z: 1, i: 3}. What is prob of picking 3 k and 1 z?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z. Let b(s) be the third derivative of -9*s**4\/2 + 7*s**3\/6 - 4433*s**2. Determine g(b(x)).\nAnswer: 540*x - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 + 48*r + 5. Let a(y) = 14*y**2 - 145*y - 15. Let v(h) = -3*a(h) - 8*i(h). What are the prime factors of v(14)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217*(5 - (-7 + 81\/7)) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*k**2*n**6 + k**2*n**4 - 12*k**2*n - 2*k**2 + 15*n**2 wrt n.\nAnswer: -5880*k**2*n**3 + 24*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 12 - 6048\/(-567).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 270 + 235637?\nAnswer: 236017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let n(d) = -268*d**2 - 2642*d**2 + 659*d**2 - 1149*d**2. What is n(c(a))?\nAnswer: -3400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 122\/5*(-15)\/(-7). Let k be -3 - (-3229)\/56 - -4. Let u = k - x. Find the common denominator of u and 31\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(2\/9)))\/w*w)**(-47))**20\/(w**4\/(w\/w**(-5))*w*w*w**2*w\/w**(2\/9)) assuming w is positive.\nAnswer: w**(1855\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-6)\/(-9) - (-33)\/9. Let 0 + 1\/3*h**5 + 0*h - 1\/3*h**a + 0*h**4 + 0*h**2 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 13862?\nAnswer: -13867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/4*d**4 + 0 + 1\/8*d**3 + 3\/4*d**2 + 0*d + 3\/8*d**5 = 0. Calculate d.\nAnswer: -2\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51977 divided by 51977.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11041812 bigger than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.038 - -19.962. Let v = f + -19.99926. What is v rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 1. Let z(n) = n**3 - 5*n**2 - 5*n + 5. What is the remainder when 21 is divided by z(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose w + 22*g - 17*g = -98, -w + 3*g = 82. Let k be 198\/w + (-1)\/(-4). Sort q, k, -6 in descending order.\nAnswer: q, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvxrrrxvvrx. What is prob of sequence rx?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d. Let x(l) be the second derivative of l**5\/40 + l**3\/2 - l. Let r(f) be the second derivative of x(f). Calculate r(v(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 4*h + 4)*(-3*h + 3*h + 2*h)*(306 + 180*h**2 - 306) as k*h**2 + a*h**4 + z + c*h + u*h**3 and give a.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 20302.\nAnswer: -20298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Let l be (3\/(-2))\/((-6)\/(-40)). Let o = -11\/42 + -5\/21. What is the smallest value in l, o, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7468 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2040, -15707, -52808, -125061, -244184, -421895, -669912?\nAnswer: -999953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.2. Suppose -3*i = -i - 4. Suppose 2*k + 10 - i = 0. Which is the closest to -2? (a) 3 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2314*p**4 - 807*p**2 - 6452040?\nAnswer: -9256*p**3 - 1614*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 5. Let w = 8 + -3. Let z be j(w). Let s(v) = 2*v + 4. Is 12 a factor of s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 54186242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 2*j + 10 + 12 - 33*j**4 - 23 to the form v*j**4 + z*j**3 + y*j + n + x*j**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.7. Which is the second biggest value? (a) 0 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 - 19*f**2 + 19*f**2 + 4*f**3 - 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 15 = 3*i + 2*i, 0 = -3*i - 4*b - 9. Let p = 5 + i. Suppose -d = -p*d. Solve s - 5 = -d*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (110\/33)\/((-2)\/3). Suppose -5*k = -g*n + 25, 0*n - 5*k = -3*n + 25. Is n equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**2 + 14 - 14)*(5*w - 2*w - 4*w) - 369*w**3 + 344089*w - 344089*w to the form u*w**3 + i*w**2 + b + t*w and give u.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a**4 + 1\/3*a**2 + 0 - 5\/3*a + 5\/3*a**3.\nAnswer: -a*(a - 5)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4\/5)*m*m*m**(10\/7))\/((m*m**(-2\/11))\/((m\/m**10)\/m)))**27 assuming m is positive.\nAnswer: m**(-74736\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*50 - -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2543 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -19 + 0*5\/15. Put 0.4, 3, y in descending order.\nAnswer: 3, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/26542 and -89\/43479258?\nAnswer: 1000022934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + 1 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/(p\/p**(-4))*p**(4\/5)\/p**(4\/7))**(-4\/35) assuming p is positive.\nAnswer: p**(738\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 4*o - o)*(0 + 0 - 2) + 3*o + 4*o - 4*o + (4*o - 2*o + 1 - 2)*(6 - 4 + 4) to n + s*o and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 32*q**2 - 2*q - 7. Let i(r) = -r**4 - 3*r**3 - 33*r**2 - 3*r - 6. Let p(s) = 2*i(s) - 3*k(s). Differentiate p(n) with respect to n.\nAnswer: -8*n**3 + 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)*i)**(-21)\/((i*(i*i\/(i**(-10)*i*i*i)*i)\/i)\/((i\/(i\/(i*i**(1\/16)\/i*i)))\/i)))**(-20\/9) assuming i is positive.\nAnswer: i**(685\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/51480 and -37\/2097667?\nAnswer: 755160120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -114 and -685\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*s**2 - 2837*s**2 + 3879*s**2.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-7) + 39650\/175. Let n = -149 + j. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7389 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4905.02us to nanoseconds.\nAnswer: 4905020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-18))\/((-2)\/(-42)). What is the lowest common multiple of 3 and 86\/14 + (-4)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 12. Suppose -3*h + a + 33 = 5*x, -5*h = 3*x - 47. Suppose 3*b = -0*b + 15, h = -3*y + 5*b. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-20)*(1 + -3). Suppose -7 = 4*l + u, 0*u - 28 = l - 5*u. Which is the smallest value? (a) l (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15.4073721.\nAnswer: -11.4073721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Suppose -d = b - 11. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04994823 and -0.3.\nAnswer: -0.014984469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/286 and 81\/16?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 514 - 198. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 962*l - 28814. Give k(28).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -720 - -720. Suppose i = -6*u + 604 + 386. Calculate the greatest common divisor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16350 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 26. Suppose 3*s + 6 + 3 = f, 4*s - 3*f + 17 = 0. Let p = s + h. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {d: 1, r: 1, f: 2, e: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261038 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601444 divided by 5674.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let k be ((-26)\/6 + 3)*3. Put 4, k, p in decreasing order.\nAnswer: 4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2, -1\/24, -1?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 757, -858, -3561, -7358, -12255?\n\"Answer: -p**3 - 538*p**2 + 6*p + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 109. Let s be (-24)\/9*m\/108. Put s, 6, 5 in decreasing order.\nAnswer: 6, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3223773g in micrograms?\nAnswer: 322377.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 23*d**4 - 42*d**2 + d**3 - 55*d**4 + 1 + 31*d**2 + 28*d**4 as k + h*d**2 + v*d**4 + f*d + a*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, 1, 472, -1, 48, 2 in decreasing order.\nAnswer: 472, 48, 4, 2, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*y + 417 - 483 = 0, -2*y - 2*y + 120 = -5*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 19. Let r(q) = -q**3 + 9. Suppose 0 = 145*f - 142*f - 2*a - 17, -2*f = -4*a + 2. What is f*r(k) + 4*t(k)?\nAnswer: -k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 10, -6*g + 4 = -5*g - s. Let d be (g\/4)\/(12\/(-96)). What is the units digit of 6\/d + (2 - (-65)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/18 and (261\/24)\/(-1 - (-33)\/60).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023569 rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(84)\/(sqrt(9)\/sqrt(3)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-15)\/(w**0\/w) assuming w is positive.\nAnswer: w**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m. Let j be (-71)\/(-142) - 6\/4. Let p(w) = -w. Let q(i) = j*p(i) + v(i). Let a(x) = -45*x**2. Calculate a(q(u)).\nAnswer: -1125*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 4*p. Let i be 32*((-39)\/(-6) + p). Suppose -4*h + i = -64. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5279643?\nAnswer: -5279643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1286250 and 117\/85750?\nAnswer: 1286250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/5)*j\/(j*j**(-1\/4)))\/(j**0\/j**(-5\/4)) assuming j is positive.\nAnswer: j**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 504, 2017, 3526, 5031, 6532, 8029?\nAnswer: 9522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 38*q**2 + q**3 - 43*q**2 + 6*q - 1 - 2. Let o(a) = -2*a - 7. Let m be o(-5). Is 5 a factor of h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 3:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 11*y - 10. Calculate f(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1829 - 0.8171. Which is the third smallest value? (a) 16 (b) -3\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**2*w**2*z**3 - u**2 + 3*u*w**2 + u + 13*z**3 with respect to z.\nAnswer: -3*u**2*w**2*z**2 + 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a**3 - a**2 + a + 1. Let t be y(-1). Let f = 13 - t. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27202317.\nAnswer: 3, 9067439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 35 + 23 + (-1 + 3 - 3)*(14 + 34 - 13))*((-2 - 2 + 3)*(4 + h - 4) - 3*h + 2*h + 0*h).\nAnswer: 140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*(2365\/(-129))\/(44\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r + 12. Let n(t) = -t**2 - t + 2. Let x be n(r). Which is smaller: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (11 - 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 438 (base 16) to base 2\nAnswer: 10000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 3)*(-3*h**4 + h**4 + 3*h**4) + (-2 + 5 + 5)*(13*h**4 - 20*h**4 - 21*h**4) in the form y*h**4 + q*h + s*h**2 + v + a*h**3 and give y.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-294) + ((-2)\/12 - 1840\/(-672)). Let v be (-3)\/(-2) + (-5)\/10. What is the smallest value in y, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4373?\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.328202 rounded to the nearest ten?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -2*8\/2. Suppose 9*t = m*t. Suppose t = 9*p - 14*p. Solve -3*x + 6*x - 15 = p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3292718 and 754?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 705 = -4*x, -2*s + 3*x + 423 = s. Is s a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (2 + 3\/1 - 4). Solve -f - x*q = -10, 4*q - 3 = 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1331) - (sqrt(1331) + -1)*1)**2 + sqrt(1331) + (sqrt(1331) - 2*-1*sqrt(1331)) + -4.\nAnswer: -4 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.95 - -2.05. What is the closest to i in -3, 1, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 0*k**2 + 0*k**3 - 1\/15*k**6 + 0*k**4 + 1\/5*k**5 + 0 + 3*k. Factor w(x).\nAnswer: -2*x**3*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -668853590 rounded to the nearest 1000000?\nAnswer: -669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-6) - 52\/(-24). Suppose -p*s = -3*u + 10 - 29, 5*s + 3*u = -5. Solve 3*l = s*b, -l = 1 - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26102 (base 7) to base 8.\nAnswer: -15377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 + -3. Let g = 4.98 + 0.02. What is the closest to g in -1\/4, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**3 + 7*t + 3*t**3 + 5*t**3 in the form v*t + m + r*t**2 + w*t**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 6*r + 5. Let v be o(-6). Let k = -67 + 72.8. Let w = k + -6. What is the nearest to 3 in 2\/19, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2009 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 23. Let q(z) = -6*z**3 + 3*z**2 - 7*z - 11. Let d(w) = 7*w**3 - 2*w**2 + 7*w + 12. Let i(y) = 5*d(y) + 6*q(y). Determine i(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-4)*(-42)\/(-63). Which is the third smallest value? (a) z (b) 5 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gffeffeef. Give prob of picking 2 g and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12291352181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-642)\/(-5457)*34\/(-6))\/(-3*20\/(-2745)).\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(3 + -2) - 4. Let f(x) be the third derivative of -x**6\/8 - x**5\/60 - x**4\/24 + 9*x**2. List the prime factors of f(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-9 - 3) - 27 - 17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(320) - (0 + sqrt(320))) + (2*sqrt(320)*-1 - sqrt(320)) + 2)**2*-5.\nAnswer: -14420 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven quarters of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 4*i)*(3*i - i - i)*(172 - 299*i - 73 - 68 - 51).\nAnswer: -299*i**3 - 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4423831 - 92868383\/21. Let w = -1526 + h. Find the common denominator of -59\/36 and w.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533648974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(19\/3)\/t*t)*t*t)\/t**(-14))\/((t**1\/t)\/(t*t**(5\/7))) assuming t is positive.\nAnswer: t**(281\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 40. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3646835 to the nearest integer?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 487, -3\/89555?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/46, 0.5, -0.2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 4. Let l(j) = 1 - 3 - 2 + 3. Let u(z) = d(z) - 4*l(z). Let s(k) = 0*k**2 + 5*k**2 - 2*k**2. Determine s(u(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -296 - -280. Sort 2, a, 0, -3 in descending order.\nAnswer: 2, 0, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210324 (base 5) to base 13.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19483471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4891 and 2439102572?\nAnswer: 4891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -8*f**4\/3 - 1401*f**2\/2 - 421*f. Differentiate h(g) wrt g.\nAnswer: -64*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-5)\/(-2))*0. What is the second derivative of v*b**3 - 5*b**3 + 5*b - 6*b wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 10. Put k, -1, 0.3, -1\/5 in increasing order.\nAnswer: k, -1, -1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*a + 6*a - 43 = 0, 2*a - 10 = 0. Let v = 27 - x. Factor -v*u + u**2 + 20*u - 11*u.\nAnswer: u*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 845456 and 954.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.512 and -34.265968.\nAnswer: -15.753968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 6, z: 4, g: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6273995, -6273994, -6273991, -6273986?\n\"Answer: v**2 - 2*v - 6273994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/17 + 86162*a**3\/17 + 172332*a**2\/17 = 0. What is a?\nAnswer: -2, 0, 43083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + 0 + 0)*(13*a + 9*a + 22*a)*(-7 + 4 - 2) as i*a**2 + l*a + d + b*a**3 and give b.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-4)*(-1584)\/(-990)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -26106232\nAnswer: 234956088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/12*192\/(-448))\/(1\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9077621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a7754 (base 11) to base 12.\nAnswer: 26a2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1958 = 3*z + 20. Suppose -5*p + z = 41. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 62*f + 3237. Calculate the remainder when 23241 is divided by h(-52).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42764236, -42764244, -42764252?\nAnswer: -42764260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)\/sqrt(5))\/(-6*-3*sqrt(7)) + -5.\nAnswer: -5 - sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/1645, -2, -4, 50\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkvtgk. Give prob of sequence tvvg.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 5*f + 16*a + 14, 5*f - 3*a = -13. Let t(q) = q**3 + 3*q**2 + q - 2. Calculate t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16625412, 16625415, 16625418, 16625421, 16625424?\nAnswer: 16625427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 999993318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 3*o. Let j(r) be the third derivative of 1\/60*r**5 + 0*r - 4*r**2 + 0*r**3 + 1\/12*r**4 + 0. Let y be 10*1*1*-1. Determine y*j(g) + 6*n(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 + 7*v + 6. What is the least common multiple of 70 and r(6)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21244 is divided by 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/28)\/(3*(-2)\/128*4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10720 and 207160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*d**6 + 119699*d**2 + 82*d**6 + 590*d**6 - 119938*d**2 + 344*d**6 wrt d.\nAnswer: 108840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8468 + 8900. Calculate the lowest common multiple of k and 1152.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 37*v**5\/60 - 31*v**4\/24 + 23*v**3\/6 - 14*v**2. Let y(x) be the first derivative of l(x). Is y(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/12000 and 143\/6312600?\nAnswer: 126252000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638 and 492061966?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36588739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-12))\/(6\/(-48)). Let h be 55\/u - (-4)\/(-8). Suppose -3*r = -5*m - r + 11, h*m + 1 = -2*r. Solve 0 = f + f + 3*l - 3, 4*f + l = m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748104448 a multiple of 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4633251.\nAnswer: 3, 7, 37, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 1 - 5. Let g(d) = -d**2 - 2*d - 2. Let p be g(f). Put 5, -3, p in ascending order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.143 + 18.68. Round g to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d + 4*d - 3*d - 3. Let i(y) = y - 6. Let v(h) = 1. Let k = -1 + 4. Let q(r) = k*v(r) + i(r). Give -6*q(j) + 7*z(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**6\/30 - 13*b**5\/20 + 7*b**4\/12 + 19*b**3\/2 + 18*b**2 + 398*b. Solve t(n) = 0.\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 + 84 - 20 - (6 + 0)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2064?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 25*1 - 9\/45*15.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 3*u - 4*u)*(u - 3 + 3) - 22 + 22 - 7*u**2 + (1 - u - 1)*(-u - 3 + 3) + (-2*u - u + u)*(-3*u + 2*u - u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/(-54) + 796\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8709 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 152, 0.5, 14 in decreasing order.\nAnswer: 152, 14, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d**3 + 1150637*d - 4*d**2 + 4*d**2 - 1150637*d.\nAnswer: -42*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -202*o**5 + 6*o**3 + 7*o**2 - 4. Let a(w) = -202*w**5 + 5*w**3 + 6*w**2 - 3. Let v(f) = 6*a(f) - 5*x(f). What is the third derivative of v(h) wrt h?\nAnswer: -12120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1604, 788, -572, -2476?\nAnswer: -4924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*h - 493 = -2*h, t - 101 = -h. Suppose -69 - 162 = -7*n. Calculate the remainder when t is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q = 49*q + 1287. Let m = q + -143. Factor m + 1\/7*i**2 + 0*i.\nAnswer: i**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361\/(-418) - ((-49)\/(-14) + -6)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 62, 3\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -371 + 741\/2. Which is the nearest to 3? (a) j (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 11) to base 2.\nAnswer: 11110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 8:47 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0163 times 15.48?\nAnswer: 0.252324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50170, -100403, -150636?\n\"Answer: -50233*k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 + t + 1. Let j be p(-1). Suppose -2*v = -j*v + 16. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404782 = 2*g + 4*l, 3*g - 2*l - 5*l = 607212. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 6*u - 11. Let y(p) = -p**2 + 3*p - 6. Let x(z) = 3*v(z) - 5*y(z). Calculate the least common multiple of 2 and x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:30 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + 298 + -285\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.097 * 403.7615.\nAnswer: -39.1648655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y + 3*w, 4*w = 3*y + y + 16. Suppose 4 = -4*x, 4*f = -y*f - 3*x + 13. Suppose -b + 2*b = f*h, -h = 5*b. Solve h = t + 2 + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1482, -1447, -1382, -1287, -1162?\n\"Answer: 15*i**2 - 10*i - 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -919*p - 6 + 916*p + 41 + 3*p**2 + (-2*p - 4*p**2 + 2*p)*(2 - 1 - 2)*(4 - 2 - 1) to c*p + n*p**2 + o and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*x + 2*a + 564, 1126 = 4*x - 2*a. Let c = x - 83. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, 3852, 10511, 19842, 31851, 46544, 63927, 84006?\nAnswer: 106787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1 - 1 - 2 + 3 + 2 - 2*u. Determine m(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + -2 + sqrt(27)))**2 + (1*1*sqrt(135))\/sqrt(5).\nAnswer: -147*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = -5*b - 9*i, 5*i = 16*b - 13827 + 13945 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 6\/11, -0.43, -16, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203929*w**5 - 4*w**4 - 2*w**2 - 218811434*w wrt w.\nAnswer: -4078580*w**3 - 48*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.056035 millilitres to litres.\nAnswer: 0.008056035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, -1543, -3, -4 in descending order.\nAnswer: 0.5, -1, -3, -4, -1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 235\/94 + 2\/4. Let i be -938000 + (6 - 6)\/(-1 + f). Round i to the nearest ten thousand.\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2\/5 + 27*k\/5 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43377, -44047, -44719, -45393, -46069, -46747, -47427?\n\"Answer: -p**2 - 667*p - 42709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56.033 + -0.033. Let b = o - 55.49. Round b to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000322719 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46179 divided by 5131?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -642 (b) 15\/17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f + 4*k = 71*f - 84, -21 = f + k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 4050 = 4*i - 14*v, -3 = v. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*o - 4738, o + 25*j = 28*j + 1556. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulz when three letters picked without replacement from nxxznlui.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -49. Let w be (-3)\/(-1)*b*(-3)\/(-21). Suppose -w*m + 6 + 0 = 2*p, -4*m + 8 = -2*p. Solve -4*j + m = -5*o + 38, -4 = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77.099mm?\nAnswer: 7.7099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64592 is divided by 1700.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 499*r**3 + 2*r**2 - 6*r + 2. Is f(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 107*t + 588. Determine o(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 0.5 (c) 0.19 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 563270 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*m - m**3 - 26 + 60*m - 115*m to o + x*m + u*m**2 + y*m**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17 + 98 = 0. Let w = 573\/5 - u. Let c = 37 + -34. What is the smallest value in w, 2\/3, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.5 + -28.6. Let f = -7 - -10. What is the fourth smallest value in 0.3, f, g, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1319544 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1065 in -2\/11, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*h**3*m + h**3 + 20*h**2*m - 2*h**2 - 2*h*m - 95*h + 5*m - 2 wrt h.\nAnswer: -84*h*m + 6*h + 40*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 3*o + 3. Let j be m(2). Suppose -5*s = -j - 1. Solve -3 = 3*q - s*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1397049.119 + 1397016.11899969. Let b = -33 - v. Round b to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-138)\/115*(-2090)\/3. Suppose -26*q = -22*q - i. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 - -153. Let u = a - 61. Solve 5*k - 5*b - 25 = 0, 3*k - 6*b - 18 = -u*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23733, 23732, 23731, 23730, 23729?\nAnswer: 23728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 21*k + 29. What is a(23)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 236603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023348 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and 866.27?\nAnswer: 866.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293 + (-18)\/63 + 18\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 10*n**2 - 55*n + 74. Let o(g) = -g**2 - 2*g + 1. Let i(w) = -4*o(w) + t(w). Calculate i(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - 387 = 24*o - 8*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:39 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*r**3 - 109*r**3 - 120*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 8715*i - 9575250.\nAnswer: 3*(i - 850)*(i + 3755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 1 + -1 + sqrt(245))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1\/2*-1. Let s be -2 + 3 - (-1 - n). Suppose -6 = s*a - 15. Solve a*h - 20 = 8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -50, -67, -90?\n\"Answer: -3*m**2 - 2*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1056467\/291060 - -1\/10780. Let q = m - -3680\/999. Let b = 2 - 3. Is q greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 20. Let x be u(16). Suppose -x*b + 377 = -271. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3382 divided by 3382.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 - 847*p - 38121. Give a(-147).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.1. Let s = -0.11 + 3.91. Let v = s - 4.8. Do v and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-74)\/(-6) + (-4)\/(-6). Let p = 31 + -29. Let r = p + j. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:54 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -147103*r - 1912348. Determine j(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, and 1 l when three letters picked without replacement from ctyltlyptycltypyy?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 - (-4)\/(-2). Let o = n - -6. Suppose -q + 4*t - o*t = -58, -2*t = 5*q - 269. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3569 - -215?\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 87 and 7.\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4241542 by 24.\nAnswer: -2120771\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -17, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 - -79. Let o = 104 - u. What are the prime factors of o?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218737 times -19\nAnswer: -4156003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5517718 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from vvvcvvvggvvgcogog?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/8 - m**3\/8 = 0. Calculate m.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/11, 16, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - v - v + (1 + 4*v - 6*v + v)*(-4 + 3 - 3).\nAnswer: 5*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/11 + 4428222\/8074. Are q and 3847\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-8 + (-3 - 1) + 100 + -88)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73\/(-2)*(-4 + (4 - 4)) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, n: 5}. What is prob of sequence nnn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0, -0.5, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*c + 5*g, 3*g - 17 = -4*c - 8. Let o be (7 - -5)\/(c\/4). What is the greatest common divisor of o and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41\/228 + 23\/1140. Factor -4\/5*y**3 + o*y**4 + 2*y - 3\/5*y**2 + 8\/5.\nAnswer: (y - 4)*(y - 2)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 75*w**4\/4 - 1065*w**3\/2 + 831*w**2\/4 + 63*w = 0.\nAnswer: -1\/5, 0, 3\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/320)\/((-9)\/24)*-2*1512\/16.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -0.13. Let c = -0.00999872 - m. Round c to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:22 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122012 - 20210?\nAnswer: 101101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2883 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)\/((n**(-23)\/n)\/n)*(n*n\/(n*(n\/(n**(-11)*n*n))\/n)*n)\/n**(6\/11) assuming n is positive.\nAnswer: n**(170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1523509*-0.9.\nAnswer: -1371158.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426 or -2133\/5?\nAnswer: -2133\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = -z, -z = -h + 2 + 8. What is the remainder when (z\/(-2))\/(2\/4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + d + 20. Suppose -2*a + 3*j + 87 = 2*a, 2*j = -d. Is (a\/(-45))\/(1\/(-70)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/r**(2\/9))\/r)\/(r\/r**(-5)))\/((r\/(r\/(r*r\/((r\/(r\/(r\/(r*r**(-2\/7)))*r))\/r))*r)*r)\/r)**(-2))**(-39))**(-1\/20) assuming r is positive.\nAnswer: r**(-65\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 810*m**2*o**3*s**2 + 2*m**2*o**3 + 2*m*o**3*s + 2*m*s**2 - 79*o*s**2 wrt m.\nAnswer: 1620*o**3*s**2 + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*p + 3*p. Let q(w) = 2*w + 36. Let i be q(13). Suppose -10*r + 18 = -i. What is the smallest common multiple of r and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-60) - 12\/27*(-126)\/28\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26164 is divided by 422.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 3. Let j = -4020 - -4023. Let y(c) = -c**3 - 2*c + 7. Give j*y(f) + 7*z(f).\nAnswer: -3*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*l - 562*l = -2*o - 38, -16*l + 8*o - 2 = -14*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555458?\nAnswer: 2, 3, 41, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + (-4)\/6. Let g = -128 - -898\/7. Factor -g*x**3 + 0*x**2 + c*x + 0.\nAnswer: -2*x**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (440\/80)\/((-22)\/(-16)). Find y, given that -9\/2*y**z + 10*y - 37\/2*y**2 + 15*y**3 - 2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = -a + 21452. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03414318 to 5 dps.\nAnswer: 0.03414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 617 + -593. Solve 20*b - 4 = y*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 394, 344, 270?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and 372.\nAnswer: -100.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)\/w*w)**(-10)\/(w**(-29)\/(w**(8\/9)*w)) assuming w is positive.\nAnswer: w**(1538\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, c: 1, a: 2, u: 3, o: 1}. Give prob of picking 1 k, 1 a, and 1 u.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 116173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7597 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -222*i + 4869. Determine b(22).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + 1) + sqrt(7) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32350 - 218859 = -3*k + o, 5*k = 3*o + 418679. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 75825*l + 56603534.\nAnswer: (l + 754)*(l + 75071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14229*o**4 - 7*o**2 - 701.\nAnswer: 341496*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224323 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -99071.\nAnswer: 5944.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 14138154*a\/5.\nAnswer: 2*a*(a - 7069077)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-6)\/84)\/(2\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 18*q**2 - 22*q + 9. Calculate z(19).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*((sqrt(539) - sqrt(539)*-4)*3 + 5 + (sqrt(539) - (sqrt(539) + 1)) + 1))**2.\nAnswer: 26250*sqrt(11) + 3032500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from zzoozzzzzzzlzozzlzl.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let y(t) = 4*t - 3. Let a be y(n). Find the third derivative of 3*m**2 + m**5 - 4*m**2 - 3*m**a + 3*m**2 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7832717 kilometers to millimeters.\nAnswer: 783271.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*v**2 - 367*v**2 - 2*v**3 + 11*v**2.\nAnswer: -2*v**3 - 457*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -10110788.\nAnswer: -1\/5055394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1406678306 take away 0?\nAnswer: -4.1406678306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4730 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55496 + 55540. Suppose -6*k**3 + a*k**2 - 152\/3*k + 16 = 0. Calculate k.\nAnswer: 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/9 + 28*x**2\/9 + 19*x.\nAnswer: x*(x + 9)*(x + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -62202?\nAnswer: 31101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.836 - -4.436. Let f = -81 + 78. Which is the second smallest value? (a) f (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77955, 77603, 77249, 76893, 76535, 76175, 75813?\nAnswer: 75449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 30\/(-5) - -1391. Suppose 0 = 2*i + 2*s - l, i - s = -0*s + 692. Suppose -6*f - 282 = -8*f + 2*a, -5*f + i = -2*a. List the prime factors of f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(15\/540*-33)\/(3\/(-12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4674\/21 + 99\/231. Calculate the greatest common divisor of 19847 and u.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*c**3 + 13*c - 5.\nAnswer: -324*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*w + 124*w = 254*w + 704 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 18*j - 21. Let x be r(17). Is 3 + x + -3 - -87 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(96\/192)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -115. Let s = 8 - r. Calculate the highest common divisor of 54 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.03 - 0.84. Let m = x + 1.81. Let l = 0 - 0.1. Which is the third smallest value? (a) l (b) -2\/21 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k = -35*k + 4*x + 47, 5*x + 60 = 5*k. Let b = 1\/201 - 607\/804. Put -3\/5, b, k in increasing order.\nAnswer: b, -3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474 and 69893907.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.0143, -4, -22, 0.2, -0.3, 6\/11, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39518259?\nAnswer: 3, 11, 59, 20297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6457888, 6457878, 6457846, 6457780, 6457668, 6457498?\n\"Answer: -2*j**3 + j**2 + j + 6457888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 7*o - 8. Calculate a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/4 + 155753157*s\/2 + 24259045915466649\/4 = 0?\nAnswer: -155753157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 16*d = 0. Let z(m) be the third derivative of -m**2 + 16\/15*m**3 + 4\/25*m**5 - 8\/15*m**4 + 0*m + d - 2\/75*m**6 + 1\/525*m**7. Factor z(k).\nAnswer: 2*(k - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 13*r + 7. Let g be j(-6). Let x(d) be the first derivative of -4*d**2 - g + 2\/3*d**3 + 6*d. Determine l so that x(l) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -39, -43, -49, -57, -67?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.8 - -29.80788. Round h to four decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -19. Let f = r - -122. Let m be ((-10)\/(-7))\/((-1)\/(3\/(21\/(-49)))). What is the highest common factor of m and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 5*b - 5. Let c be (2 - 4\/1)*1. Let y(g) = g**2 - 2*g + 2. Suppose f = -3*f - 20. Determine c*w(k) + f*y(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - -3. What is the greatest common factor of v and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10026 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47 + 327 - 601*l**2 - 171*l**2 - 88 - 26 with respect to l.\nAnswer: -1544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -49, 5\/4, -1650, -0.5, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*f**5 - 24*f**4 + f**2 + 393?\nAnswer: 780*f**2 - 576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 28, 65, 116, 181, 260, 353?\n\"Answer: 7*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-423)\/(5 + -2)*-5. Suppose 0 = 7*s - 639 - w. What is the remainder when s is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1118)\/(-444)*2 - 5. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5185983 to the nearest 10000.\nAnswer: 5190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/9*44\/(-528))\/(2\/(-9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (6\/(-7))\/(6*(-1)\/21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)\/(g**(-2\/11)\/g))**(-2\/17))**(-46) assuming g is positive.\nAnswer: g**(1702\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/10254300 and -1\/210.\nAnswer: 10254300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.78? (a) -2 (b) -66 (c) 4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/342*(-181)\/362.\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + 97. Calculate the greatest common divisor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.2. Is q != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**2 - 23*t + 228. Determine r(9).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkokkkkkkkk. What is prob of picking 3 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 20 = -5*m, -5*m + 7 = 2*i - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*j = 20, -s - 4*j - 1 = -19. Solve -4*z = -s*y, 14 = -z - 2*y - y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4 = -491*h + 486*h + 17, -2*h - 2 = -q - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u, h - 21 = -h - 5*u. Calculate the remainder when 2 + 123 - (17 + -11) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 5*o**5 - 2*o**5 + (-1 + 2*o**3 + 1)*(-2*o**2 + 1 - 1) - o**5 - o**5 + o**5 + o**5 + 3*o - 3*o + 88828*o**5 - o**2 - 81 + 413 - 88827*o**5.\nAnswer: -2*o**5 - o**2 + 332","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9154)\/230)\/((-2)\/10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 8455, 542, 3 in increasing order.\nAnswer: -8, 3, 542, 8455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -6 - -1) + -1. Let c(y) = -y - 2 + 6 - 1 - 4. Let t(g) = -2*g - 1. Give x*c(n) + 3*t(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -236, -237, -238?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -46. Suppose 2*w + 2*i + 8 = -2*w, w + i = -m. Solve v = 2*u + u + 1, w = -4*v + 3*u + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*r = -9, 0 = 5*g + 4*r - 8 - 11. Factor 4\/7*j**2 + 0 + 6\/7*j**g - 2\/7*j**5 + 0*j**4 + 0*j.\nAnswer: -2*j**2*(j - 2)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 947 + 821 = 4*i - 3*q, 3*i - 1326 = -5*q. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28570 + -26208. Calculate the lowest common multiple of 16 and q.\nAnswer: 18896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e8306c (base 15) to base 7.\nAnswer: 162615321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-18)\/100*5)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = -2*y + 7*b + 8, -5*y + 5*b - 25 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -27, -22, 1, 48, 125, 238?\n\"Answer: n**3 - 14*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9 - 7, 3*a - 92 = -2*z. What is the greatest common factor of z and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.1 greater than or equal to 29.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3082, 3084, 3092, 3106, 3126, 3152, 3184?\nAnswer: 3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -21 (b) 8 (c) 2\/181 (d) -4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*i - 38307 - 21725 = 0. What is the remainder when 758 is divided by i?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -828644 + -140?\nAnswer: -828784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-20)\/12*(-21)\/70.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74815 or 523710\/7?\nAnswer: 523710\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -646789\/65220 + 2\/5435. Find the common denominator of w and 23\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 35 + 220. Suppose -3 = -i + q. Calculate the common denominator of 228\/i - (0 - 1) and 19\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, -57, -620, -1451, -2574, -4013, -5792?\nAnswer: -7935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 7*j**2 + 7*j - 6. Let o be q(-8). Let r(m) = -89 + m - 5*m + 86 + m**o. Is r(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*m - 4, 2*m - 2 = b - 16 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 14*j**2 + 15*j - 5. Determine a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 17 = 3*r, 0 = f - 2*r + 1 - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8b78 (base 14) in base 2?\nAnswer: -1101101000101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917127.\nAnswer: 157, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -13. Let f(v) = 2*v**3 + 10*v**2 + 2*v + 12. Let d be f(-5). Suppose -2*o - 10 = -6*o - 5*q, -2*o = q - d. Sort r, -3, o in descending order.\nAnswer: r, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308\/(-336)*16*(-9)\/(-12)*-2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -247 - -258.5. Is 0 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 25*d - 2. Determine f(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -46, 5, 0.4 in increasing order.\nAnswer: -46, -5\/4, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 15 - 17 + 37 - 3*j as p*j + b and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1334 times 3\nAnswer: 4002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2)\/(9 - 11)*(-15070)\/(-685)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 25*g**2 - 4*g - 4. Let m(c) = 225*c**2 - 47*c - 35. Let o(a) = -225*a**2 + 44*a + 35. Let u(w) = 3*m(w) + 4*o(w). What is 4*u(v) + 35*z(v)?\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 - -123. Let k = 0.9 + 0.1. Let x = -2 - k. Which is the second smallest value? (a) x (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5340025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 636*a + 3821. Let x be c(-6). Let o(i) be the first derivative of -2\/3*i**3 + 27 + 0*i + x*i**2. Let o(j) = 0. What is j?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.24926 - -0.03674. Let m = x + 0.814. Round m to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/15*(-2860)\/3432*(-9)\/11\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + e196c?\nAnswer: e1969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1457, 4, -24, -2 in decreasing order.\nAnswer: 1457, 4, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 2 + m + 6 + 3*m**2 + m**2. Let d(a) = -3*a**2 + 2*a - 3. Suppose 0 = -2*q + 2*s + 3*s - 12, 2*q = -5*s + 28. Give q*c(x) + 6*d(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39745.\nAnswer: 5, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -451\/13 - -35. Let n = -285 - -2569\/9. What is the biggest value in t, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300583*b**3 + 17498*b - 3?\nAnswer: -1803498*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 55608.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:46 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/264*(2 + 20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/641 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*1*sqrt(833)*-4*-4)**2.\nAnswer: 2240*sqrt(17) + 853017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 4505*v - 4474*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 3*r - 4*r)*(-3*r**2 - 2 + 2) + (-2*r**2 + 0*r**2 + 0*r**2)*(-4*r + 4*r + r) - r**3 - r + r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - -115. Suppose 0*f + f - 27 = -3*x, -2*x - l = -5*f. Calculate the remainder when 57 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/72 and -36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32212093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*n - 3 - 236, -4*n = -12. Let o = v - -76. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -910*u**4 + 247*u**3 + 467*u - 724?\nAnswer: -10920*u**2 + 1482*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 22*c**2 + 15*c + 4. What is the least common multiple of l(-8) and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**4*p - 155*c**2*p - 15*c**2 + 8087*p wrt c?\nAnswer: 8*c**3*p - 310*c*p - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 divided by 178?\nAnswer: 136\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**3\/6 + 13*j**2\/2 - 7*j. Let c(d) = d - 269 + 269. Give b(c(x)).\nAnswer: x + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 11*v - 32*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130032 (base 5) to base 3.\nAnswer: -20212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 6050\/3 + 3520\/3*a + 64\/3*a**3 + 2\/3*a**4 + 244*a**2 = 0.\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378474 (base 10) to base 11.\nAnswer: 239398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65538113 divided by 1?\nAnswer: 65538113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 8*w**2 + 2*w**2 - 9 + 7 to s + y*w + o*w**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2505160 divided by -7?\nAnswer: 357880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -2.1. What is the closest to -0.1 in 0, z, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 729828*i**4 + 12*i**2 + 2*i + 284?\nAnswer: 17515872*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 129*j - 170*j - 77*j. Let x(r) = r. Calculate x(c(g)).\nAnswer: -118*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*-10*(-1)\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/20*(-3)\/18.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-26 - -21 - (-2 - -1)) + -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73521 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*r + 21*r + 97 + 85 = 0. Solve -r*m - 2*p + 2 = 0, 13 = 4*m - 9*m + 4*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = r, 0 = 4*r + o + 2 + 15. Let d be r\/15*10\/(-4). Suppose -9867*h = -9870*h - 3. Which is the nearest to -0.5? (a) d (b) h (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 + 15*u**2 - 10*u - 42. What is the remainder when 2158 is divided by r(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + l**3 + l**3 + (2 - 2 + 1)*(-3*l + 3*l + 2*l**3) + (-40*l - 21*l - 169*l)*(l - 2*l**2 - l).\nAnswer: 464*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029262 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -152, -1158, -3898, -9242, -18060, -31222?\n\"Answer: -145*c**3 + 3*c**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/12 - 2*j**2 - 25. Let u(b) be the second derivative of l(b). Let y(x) = -x. Determine u(y(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 m, and 1 b when four letters picked without replacement from lylmhylyylbmybbhll.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 13014?\nAnswer: 13124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -0.12 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 301669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27877937111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 0*u**2 + 2*u - 3*u. Let q be g(0). Let d(n) = n**2 + 2*n - 32. Let b be d(5). Solve 0 = -q*a + 3*a - b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 2*x**2 + x + 81. Suppose -v - 4*m + 3 = 0, 5*v - 3*v + 2*m = 6. Suppose -v*i - d = -3 - 1, 4*d - 16 = -4*i. What is the units digit of t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -230120?\nAnswer: 230113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348 (base 14) to base 5.\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0254014 to four dps.\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -7*k**4\/24 - k**3\/6 - 204*k**2. Let v(h) = -6*h - 2. Determine 3*c(x) - 2*v(x).\nAnswer: -9*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 2, a: 1, j: 1, c: 1, h: 1}. What is prob of sequence cm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2942\/3 + -1002. What is the common denominator of 4\/32*202 + (-4 - -3) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 + 10*k + 11. Calculate the remainder when 172 is divided by c(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15225 + 0.34775. Which is the fourth biggest value? (a) s (b) -1.6 (c) 14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r. Let c(p) = p**2 + p. Let h(z) = 6*c(z) - k(z). Let l(a) = 50*a + 2826*a**2 - 2825*a**2 - 50*a. Calculate l(h(n)).\nAnswer: 36*n**4 - 108*n**3 + 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.059 (b) 59 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -445, -447, -449, -451?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, 1, 4\/5, -0.9, 2 in decreasing order.\nAnswer: 4, 2, 1, 4\/5, 0.2, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 5:56 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13470 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 319587?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4, 0.12, -25, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 106*v**2 + 202*v - 1 + 15*v**3 - 58*v**3 - 105*v**2 wrt v.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -c + 5*c + 87, -10 = -2*p. Let i = -314 + 291. Is c at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + (35 - 36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c**2*o*p + 1240*c**2*o - 13*c*o*p + 6*c*o + 32*c + 7*o wrt c.\nAnswer: -26*o*p + 2480*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*o - 2, 0*o + 2 = -4*o - 5*k. Suppose -6 = o*h - 0. Which is the closest to 1\/2? (a) 2\/3 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)\/z**(3\/8))\/(z**(2\/3)*z\/z**(1\/2)))**(-2\/105) assuming z is positive.\nAnswer: z**(5\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 20*h**3 + 72*h**2 + 108*h + 54.\nAnswer: 2*(h + 1)*(h + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3764 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4 + 80*d**3 - 714*d**2 + 1196*d - 560 = 0. Calculate d.\nAnswer: 1, 10, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d. Let m be (-1 + d\/3)*-2. Let o(u) = m - 3 + 2*u - 3*u. Give o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 1097.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/924 and -5\/8056188?\nAnswer: 88618068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*r + 5 - 13*r - 3)*((-4 + 5 + 1)*(4 + 0 - 2) - 111 - 68 - 57).\nAnswer: -3712*r - 464","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1759225783 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Let y = -148.8 + 91. Let n = y - -58. What is the second biggest value in g, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.6 (c) -2\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*d + s, -5*d + 0*d - 3 = -4*s. Let b be (-1*(-5)\/(-10))\/(d\/(-80)). Let j = b - 16. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/1*(-36)\/30)\/((-2810)\/7025).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2787 + 27921\/10. Let i = o - 33\/5. Let v = 4.4 - 4. Which is the biggest value? (a) v (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 8 = -5*g. Calculate the remainder when (1 - -56)*(10\/(-6) + g) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 92114*g - 2763602. Calculate f(30).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 6:21 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**5\/60 - l**4\/6 - 2*l**3\/3 - 3*l**2. Let v(r) = -r - 1. Calculate o(b) - 4*v(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvmvvvxvvxvvvvymvvv. Give prob of picking 1 m, 1 x, 1 v, and 1 y.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 5642*o**3 + 6*o.\nAnswer: 5642*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 - 266*y**4 - 8929*y**3 + 948824*y**2 + 1923376*y + 965888 = 0. What is y?\nAnswer: -196, -112, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 43 + 133*p in the form f + k*p and give k.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 734.3968 decades in years?\nAnswer: 7343.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39611336 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 2457 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 b = -601 - -597. What is the nearest to 0 in b, 2, 14, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 2348 = -2268 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Sort 1, -0.2, p in increasing order.\nAnswer: -0.2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -7.7\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)\/w*(w*w\/w**(-15)*w)\/w assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6203 + -6173. Calculate the remainder when (1*4)\/(14\/511) is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2672 and 36728644?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620 (base 16) to base 9.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {t: 1, z: 1, o: 1, m: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 5. Let o(u) = -u + 4. Let l = -332 - -328. Let a(h) = l*v(h) + 5*o(h). Let b(n) = -127*n**2. Determine b(a(c)).\nAnswer: -127*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (17862*x + 20992*x - 43809*x)*(5*x**3 - 2*x**2 + 2*x**2) as r + u*x**3 + t*x + n*x**4 + c*x**2 and give n.\nAnswer: -24775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(576)*-2 - sqrt(576) - sqrt(576))\/((sqrt(16)*1)\/sqrt(8)))**2 + 2)*-6.\nAnswer: -27666 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose n*x = 4*x - 96. Let k be (4\/(-5))\/((-1)\/(2 - -13)). Calculate the highest common divisor of k and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*z + 43, -z - s = 3*z - 33. Let g be 4*(2 - 21\/z). Let a = 0.1 + 1.9. What is the closest to 0.1 in g, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 13*a = -66. Sort a, 4, 15, -2 in decreasing order.\nAnswer: 15, 4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18668 - 18644. Is r > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 158*d**2 + 0*d - 11*d**3 - 145*d**2 - 13*d. Let y be 279\/(-21) + 2\/7. Let v = 7 - 13. Let r(c) = 5*c**3 - 6*c**2 + 6*c. Calculate v*z(p) + y*r(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/9 - 863*3\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -14 - (276 + -285).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*s + 93441671 - 93441671.\nAnswer: 136*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 5\/3, 2.\nAnswer: -199, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 33 - 36 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/(-45))\/((-4)\/(-10)). Put -1, d, 0 in descending order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 543158931 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f + 243*f = -411*f - 904*f - 11494 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/13 + 170*r**2 + 463600*r\/13 - 85583000\/13.\nAnswer: 2*(r - 115)*(r + 610)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(51*b**5 - 11*b**5 + 60*b**5).\nAnswer: -100*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3630 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9664535.\nAnswer: 5, 61, 31687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 1\/5 (c) 0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 957020 by -239255.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = -9. Suppose h - 3*t + a - 6 = 0, 2*h - 2 = 2*t. Put -4, h, -5 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(0*z + 2*z + z) - 2*z + 0*z + 4*z + z + 51*z - 20*z as x + p*z and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (51279\/21)\/((-3)\/(-21)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(12)\/sqrt(4) + sqrt(3)) + -1 + -3).\nAnswer: 12 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*n - 5*m - 65, -n = 4*m - 3. Let l(h) = 20*h - 11. Let v(j) = -9*j + 6. Let r(y) = 6*l(y) + 13*v(y). Is r(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -0.315.\nAnswer: 0.02205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**2*t**2 - 59*o**2*t - 3*t**2*v**2 + 46*t**2 - 4*t*v**2 - 2*v**2 wrt t?\nAnswer: 8*o**2 - 6*v**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 27 = 4*s + 32, 0 = -4*s - 8*c - 60 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 41. Suppose -2*h = i - 0*i - 14, -m = -3*i - 3*h. Let o = i - 11. Sort -4, o, 3 in descending order.\nAnswer: 3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/(z*z*z\/z**(-2\/23)))\/(z*z\/(z**6\/z)*z**(-9)) assuming z is positive.\nAnswer: z**(21\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -s + 88 - 10, -7*s - 5 = t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 2*n**2 + n + 3. Let g be m(-3). Let u = g - -36. Suppose u = r + r. Put r, 4, -4 in increasing order.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -2637004, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 145*s + 1016. What is m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81918188*q**2 + 103457*q - 51.\nAnswer: -163836376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/((-13689)\/39373470) - 7. Let g = -37385 + s. Find the common denominator of g and 4\/7.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409a (base 11) in base 12?\nAnswer: 3189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -2\/3 (c) -232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/3 - 1) + 34 + -4. Suppose s + 57 = -17*q. Is 3 a factor of 1\/q + ((-284)\/(-20) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/10*(2 + -4)*12. Let c(n) = -n + n**3 - 14 - 11*n**2 - 20*n**2 + 65*n**2 - 22*n**2. Calculate c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3748)\/(-660) - 5 - 12\/22.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 167555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196.6, 0.3, -0.044 in decreasing order.\nAnswer: 0.3, -0.044, -196.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375016 - -197930696.\nAnswer: 198305712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.349702 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 571802.4mg?\nAnswer: 571802400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:45 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -111*i + 103*i. Put 5, 6, 1\/4, i in ascending order.\nAnswer: i, 1\/4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*o - 4)*(-9 - 6 + 0)*(5863*o**2 - 4 - 3*o - 5864*o**2 + 7) to the form m + v*o**2 + i*o + c*o**3 and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-237454)\/32 + -2. Let c = 7421 + o. Find the common denominator of c and -26\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 450 = -12*j. What is the remainder when 59 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i. What is the units digit of r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100111110100 - 111?\nAnswer: 1000100111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 - 95. Let z = g - 31. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**(6\/11))*l)\/l)*l)**(2\/13) assuming l is positive.\nAnswer: l**(56\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 112\/25?\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:56 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(128) - (sqrt(128) + (-1*sqrt(128))**2)) + 5) + (-5 + -5 + sqrt(128)*1)*6.\nAnswer: 48*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7304 is divided by 840?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*s - 615 + 642 = 0, 5*m = -5*s. Put 101, m, -3, -5 in decreasing order.\nAnswer: 101, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20)\/((-22)\/(-44))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.206 + 1.794. Let n = -77 - -78. Put 0.5, 2\/11, n, q in descending order.\nAnswer: q, n, 0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 21*g**2 - 4154*g - 306241. Calculate t(255).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 8*u - 8. Let l be r(7). Let w = -13 - l. What is the units digit of (w - -11)\/((-1)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1145.9 + 1146. Which is the fourth smallest value? (a) z (b) -2 (c) 0.5 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*u + 2*k, 21*u - 20*u + 3*k = 4. What is the hundreds digit of (u + (-39)\/(-15))\/((-19)\/(-26695))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -104, -5 in decreasing order.\nAnswer: 0, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/((-1)\/66*-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 18.2. Which is the smallest value? (a) 1\/10 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67130847.701 minus -3?\nAnswer: -67130844.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -275 or 59042?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10364 - y + 4775 + 2*y**2 + y**2 - 5*y**2.\nAnswer: -2*y**2 - y + 15139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 1 = 2*n + 3*g, 2*g = 2*n + 2. Let k be 0 + 1 + (-3 - n). Let b be 10\/(-3)*(-90)\/75. Solve 3*a - a - b = k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12162 + -12559. Is -1992\/5 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 360471 = -3*n, 137539 = 2*n + g - 102751. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 8*x + 7. Suppose 18 = -2*j + 4*j. Let y be r(j). Is ((-3)\/2 + y)*-22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63346*y**3 - 55447*y**3 + 0*y**2 + 0*y**2.\nAnswer: 7899*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 0.2563.\nAnswer: -0.1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 19\/14 (b) -4\/5 (c) -1 (d) -2 (e) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 67 = -3*w - 2, 4*w - 4*z = 96. Let n(u) = -10*u - 3. Let y be n(-3). Let h = y - w. Round h to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193540 and 17999220.\nAnswer: 17999220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from {j: 7, f: 6, t: 1, x: 6}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 224*j**4 + 2*j**3 + 65 wrt j.\nAnswer: 896*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 815753 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2774 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(10*p + 6*p - 5*p) + (-6 + 3 + 2)*(-254 + 254 + 32*p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Let b(w) = -25. Determine -b(o) + 5*z(o).\nAnswer: -5*o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -304.246765 to one decimal place.\nAnswer: -304.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*w**3 + 3560*w**2 - 198845?\nAnswer: 54*w**2 + 7120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c3a (base 16) in base 10?\nAnswer: -7226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536\/17 at most as big as 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 3. Let z = u - 3.6. Let m = z - 4.4. Put m, 3, 5 in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154313792 is divided by 47321.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4651151 by 46051.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3675*r**3 + 98842940*r**2 + 11296324*r\/3 + 107584\/3 = 0.\nAnswer: -26896, -2\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 30 = -y. Suppose 14 = -y*o + 3*c, 4*o + 4*c + 0*c = -24. Let m(k) = k**2 - 6*k - 1. Let v be m(6). Put 0, o, v in descending order.\nAnswer: 0, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28577 - 2265?\nAnswer: -31853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**5\/30 + d**3\/6 + 81*d**2. Let b(j) = 3*j**2 - 2. What is 4*b(n) + 5*s(n)?\nAnswer: 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 42 - 24 = 0. Which is bigger: -13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -88. Let t = y - 8. Let o(m) = -m - 1. What is o(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*p - 1363, -3*p - 3590 = -5*s - 198. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -3\/4 (c) -4 (d) -14415\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*-1*24\/4. Let d be -3 + 4\/((-12)\/(-69)). Solve -5*z + s = -2*f - 12, 4*f = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156621 - -61?\nAnswer: -156530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 284 (base 10) to base 15\nAnswer: 13e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p. Suppose p = 4*j + j + 10. Let o be 36\/27*j\/(-12). Which is the nearest to -1\/3? (a) 1\/2 (b) -0.7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 106?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4*25\/(-20))*4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31545, -252172, -851017, -2017188, -3939793, -6807940?\n\"Answer: -31518*j**3 - j**2 + 2*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.3 + 11.7. Let h = a + -14.3. Suppose 1 = u + 2. What is the nearest to -1 in u, 5, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - l**2 - 5*l**2 + 2*l**2 + l**2 + (-l + 5 - 5)*(-5*l + 4*l + 3*l) - 2274*l - 100*l**2 + 2274*l)*(-3 + 3*l**3 + 3).\nAnswer: -315*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/14 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 6660.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s = 584*s - 11845 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76633.605 minutes in days?\nAnswer: 53.21778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4983 and 359229?\nAnswer: 3951519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/10)\/(((-54)\/(-30))\/9). Let s = m - -28. Let h(v) = 2*v + 4. Let c be h(-2). Solve s*w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15265557, 30531107, 45796657, 61062207?\nAnswer: 76327757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((-14)\/(-10) - (-12)\/20). Sort f, 2, 26 in ascending order.\nAnswer: f, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l + 18. Let g = -16 + l. Put -5, g, -2 in decreasing order.\nAnswer: -2, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 0.07 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.98218 centimeters to meters.\nAnswer: 0.5098218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nanaaannen. Give prob of picking 1 n and 2 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-342)\/(-72)*-8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6*j - 35 = 0. Suppose -j*n = -8*n + 30. Suppose 3 = 5*y - 12. What is the remainder when n is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)\/(f**(1\/2)\/f)*f**(-8\/3)*f**(-1\/3))**(-2\/19) assuming f is positive.\nAnswer: f**(7\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/10)\/(134\/536))\/((-2)\/5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (((-17141)\/2)\/(-1) - (-1)\/(-2)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 47741, -0.015?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:06 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 382*l**2 - 1151*l**2 - 369*l**3 + 362*l**3 to the form k*l + f*l**2 + x + i*l**3 and give f.\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 2. Let i = 270 - 270.1. Let g be (-29)\/(-35) + 4\/(-10). Which is the closest to i? (a) y (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 2*p**4 - p**3 - 3*p**4 - 5*p**4 as j*p**4 + x*p + s*p**2 + g + a*p**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459.64271 rounded to zero decimal places?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 906915 and -15.7.\nAnswer: 906899.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 times -4?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 82003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (81\/(-72))\/(6\/8)*(-238)\/21. Let o(x) be the second derivative of -b*x + 0 - 7\/2*x**2 - 3\/2*x**3. Let w(p) = -8*p - 6. Give 6*o(m) - 7*w(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 99 times -0.085\nAnswer: -8.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y**2 + 11. Let g(m) = -m**2 + 1. Let k(t) = -66*g(t) + 6*r(t). Let q(i) = 2*i. What is q(k(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w**2 - 7*w + 6. Let c be z(6). Is (-1)\/(2\/(-44) + c) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 5*x**2 + 1. Let a be k(4). Let w be (-6)\/(-5)*a\/(-6). Suppose -6*t = -w*t + 2730. What is t rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 59, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2026 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100001 (base 2) in base 16?\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21400234 is divided by 2211.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(539) + 3 + -1 + 4)**2.\nAnswer: 154*sqrt(11) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*2 + 2.\nAnswer: 2 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 13*p - 7. Let f(n) = -n**2 + 6*n + 3. Let m(j) = -7*f(j) - 3*s(j). Find the second derivative of m(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*l**2 - 19*l**2 + 2*l**2.\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -61a?\nAnswer: -61b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1356210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose 0 = -4*p - u + 219, 0 = -3*p - y*u - 44 + 202. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -15*h**2 + 1\/3*h**5 + 25\/24*h**4 + 0 + 0*h + 1\/24*h**6 + 5\/3*h**3. Factor n(f).\nAnswer: 5*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 - c - 2*c**2 + 7*c**4 - 13*c**4 in the form y*c + g*c**4 + r*c**2 + p + s*c**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5311*t**2 + 2*t - 3. Let q(s) = 29*s. What is u(q(l))?\nAnswer: 4466551*l**2 + 58*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65640 and 410520?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10776*c - 452226. What is h(42)?\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 31 = -4*o - 13, -k - 2*o = -10. Suppose 2*t - 42 = k. Let p = -98 - -101. Solve 0 = -p*a + 5*q + t, -2*q = -4*q - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91828118*z**4 + 353767*z**2 - 417*z wrt z.\nAnswer: 2203874832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37053*u*z**3 - 2*u*z**2 + 4*u*z + 2*u - z**3 - 410*z - 1 wrt z.\nAnswer: 222318*u*z - 4*u - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*j + 140*j = 68*j + 4200 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852 and 10853273.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.56 times -0.5\nAnswer: -1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -28*k**2 + 16*k + 20. Let t(b) = -19*b**2 + 11*b + 13. Let a(o) = -5*h(o) + 8*t(o). Determine p so that a(p) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1658 - 0) + (-21)\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 20. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106636 (base 11) to base 6\nAnswer: -3350042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/(-165)*3)\/(1\/(-25)). Solve -p*b = 2*o - 13, -b + 1 = 5*o + b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 - 14*k**2 + 2*k - 5. Give z(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d + 0 - 1\/24*d**4 + 0*d**3 + 2*d**2 + 1\/60*d**5. What is the second derivative of g(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 291.503766 - 291.5. What is m rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-30)*5\/((-120)\/9)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101110000 (base 2) to base 6.\nAnswer: -12452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-267)\/(-102) + 330\/(-132). What is the closest to -0.16 in p, 23, -3, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bypyyyyyzyypbss. What is prob of sequence szb?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2082.19 - 2063. What is k rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 17*b - 6 - 10*b as x + h*b and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 7*v**2 + 7*v + 9. Let f = 36 - 42. Let k be a(f). Solve -y - 4*c = -3 + 20, -4*c = -k*y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 + 3 + -1. Suppose -k - u = -1, 3*k - 4*u = -j*u - 2. Let r = k + 4. Solve 0 = r*y + 2*s, -3*y - 2 = s - 0*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 8*v - 7. Let w be b(6). Suppose p + 5*q = 2, -39 = -w*p + 5*q - q. Suppose -55 = -2*s + 3*u - 22, -3*u = 5*s - 30. Is p < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let w(q) = 8*q - 1807. What is j(w(i))?\nAnswer: 128*i**2 - 57824*i + 6530498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = j, 4*j - 24 = j + 3*p. Let i(g) = 2145*g - 1 - 2144*g + j. Determine i(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1 + 3*(-10 - -15 - 11)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(500))\/sqrt(10) + (sqrt(24)\/sqrt(192) - sqrt(162)*2))**2.\nAnswer: 961\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -3, -2\/7, -381, -0.67?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 206*z - 191*z + 150 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3\/3 + 3*a**2 - 4*a. Let h(s) = -5*s - 17. Let p(q) = -6*h(q) - 17*w(q). Let v(m) = -14*m. Calculate v(p(c)).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z - 11 - 34 + 36 + 9 - 41*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**18\/p)\/(p*p**(-5\/9)) assuming p is positive.\nAnswer: p**(149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = -5*f, 0 = -2*f + 5*f + 2*n - 10. Let k(u) = 3*u - 27 + u**f - 9*u + 40 + 0*u. Let x be k(4). Solve -4*j + 3 = -x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5553, -11288, -17019, -22746, -28469, -34188?\nAnswer: -39903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 232301?\nAnswer: 232312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3217325 is divided by 1761.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, -5, 3, -242, 10 in increasing order.\nAnswer: -242, -5, -1, 3, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(8) - (sqrt(8) + -1 + sqrt(2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*f = -1546872, 4*f - 507990 = -2*l + 265416. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1874048 to 4 dps.\nAnswer: 0.1874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z**(-4\/5))\/(z*z*z**(2\/7))**(8\/15) assuming z is positive.\nAnswer: z**(-422\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2281748 by -2.\nAnswer: 1140874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190578859 to the power of 1\/3, to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let q = 7.33491 + -0.33491. Is q greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100433 (base 7) to base 10.\nAnswer: -17027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from mvmhmhrsghsmvh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*h - 434 - 432 + 1310 - 444 + 454*h.\nAnswer: 493*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*n**2 + 3*h**2 - 4*h*n**2 + h*n + 66 with respect to n.\nAnswer: -6*h**2*n - 8*h*n + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11647 - 69881\/6. What is the common denominator of o and 85\/1134?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -8 + (-16 - -14) - (-2 + -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -379*o*q**4 + 8080*o*q**2 + 723923*o + 3 wrt q?\nAnswer: -1516*o*q**3 + 16160*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -0.899. What is w rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/330)\/((135\/9)\/150)*(-276)\/46\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 0, 104*z - 106*z = 2*f + 3 + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + j + 55 = 0, 15*z - 20*z = 5*j - 175. Calculate the least common multiple of z and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**3 + 5*n**3 + 2*n**2 + 2*n**3 - n in the form u*n + o*n**2 + a*n**3 + i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 964212000 rounded to the nearest 1000000?\nAnswer: 964000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495, -2208, -5163, -9360, -14799, -21480, -29403?\nAnswer: -38568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 + f**3)*(-2*f + f + f**2 + f**2).\nAnswer: 4*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -310, -2\/11, -2, 0.4, 2\/13, 1\/455?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*b = 365 - 5542, 3*l = 3*b + 3879. Let g = 1368 - l. Let p = 101 + -69. What is the highest common divisor of p and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 40*f = -39*f + 32, f + 8 = v. Suppose -276230 = -v*z - 17*z. What is z rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - 14*d - 7*d)*(-2 - 1 + 4)*(70 + 2*d**3 - 9*d**2 - 106 + 8*d**2) to p*d**4 + o + q*d + i*d**2 + g*d**3 and give q.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 1.06128.\nAnswer: 0.96128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose -29*j + 33*j = -16. Put 5, w, j in ascending order.\nAnswer: j, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123319 and 2007?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 859*w**3 - 389*w**3 + 30*w**3 + 5 + 1253*w**3.\nAnswer: 1753*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339 - 336. Let p(a) = -4*a**3 - a**2 - 2*a - 3. Let l(d) = 7*d**3 + 2*d**2 + 4*d + 5. What is w*l(g) + 5*p(g)?\nAnswer: g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231768)\/(-7474) - (-12 + 167)\/5.\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -3*w - 11*g + 5*g, -5*w + 3 = g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s**4 + 2*s**3 + 4 + 24*s**4 - 1 - 1 as n*s**2 + q*s**3 + p*s**4 + w + d*s and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2\/9)\/g))**(2\/103)\/(g*(g*g\/((g\/(g\/(g**(-9)*g))*g)\/g))\/g*g**(1\/6)) assuming g is positive.\nAnswer: g**(-18769\/1854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k + 8 = 0. Suppose 0 = 2*b - 3*o - k*o + 75980, 5*b = o - 189996. What is b rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 134?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454067 + -4331905. Let y = a + 4785963.399853. Let g = 8.6 + y. What is g rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhjhhjhhhhhhhj. What is prob of picking 2 j and 1 h?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/47? (a) -5 (b) 8\/7 (c) 38 (d) 1\/3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -13 - (-1 - 10)) + 28\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**9\/84 - 4*v**7\/35 - 47*v**5\/60 + 192*v**2. Find the third derivative of i(s) wrt s.\nAnswer: 720*s**3 - 576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 - 3340*b - 556160 = 0. What is b?\nAnswer: -352, -316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -4*r. Suppose -4*n = -5*m + n - 10, m = 2*n - 7. Solve -b - m*b - r = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420549?\nAnswer: 3, 103, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = 0, -q = 2*q - 4*c - 28. Suppose -116 = -q*r + b, 3*r + 4*b - 68 = -0*b. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -278618 - -278940. Let y = 0 + 42. Calculate the greatest common divisor of z and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33931.90332 rounded to the nearest integer?\nAnswer: -33932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-200)\/15*(-792)\/55. Calculate the greatest common divisor of 832 and u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -931918 (base 13) in base 11?\nAnswer: -1a33895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.1 + 5.1. Let h = k + 14.3. Let v be (-5)\/(-15) + 9\/(54\/28). Which is the third smallest value? (a) -18 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23962, 47136, 70310, 93484?\nAnswer: 116658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -214. Let k(v) = 3*v**2 - 49*v - 77. Let n be k(18). Is ((-1)\/5*o)\/(n\/(-65)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100110 (base 2) to base 7\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4097040 divided by 3440\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 10*b - 35*b = -885, -56*m - 3*b = 58*m - 113*m - 63 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.017 - 0.017. Let o = 82 - d. Let m = o + -55.9999924. What is m rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190 and -0.01.\nAnswer: 189.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 17. Suppose 5*w - 72 = -t. What is the least common multiple of w and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = u + 4*y, -2*u + 3*u - 2*y - 27 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8449 + 15049. Let j(z) = -24 - w*z + 24. Let m be j(5). What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120221 + -12?\nAnswer: 120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15399.4 + -371106626.\nAnswer: -371122025.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 978847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -647344 divided by -38\nAnswer: 323672\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -132, -125, -114, -99?\n\"Answer: 2*x**2 + x - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 414 + 26. Solve 8 = 12*z - s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3732)\/(-6220)*(-8)\/(-3).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 39*k**2 - 14*k + 5. Let x(c) = -c**3 + 19*c**2 - 6*c + 2. Give -14*x(a) + 6*z(a).\nAnswer: 2*a**3 - 32*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = r - 1, -5*r + 2 = -4*y - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.09 - 0.09. Let w = -4.9 + z. Put 1\/3, w, 0.4 in increasing order.\nAnswer: w, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 - -9 - (-7 + 9 + -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3109284799 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1801*d - 1795. Calculate c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -13. Suppose -3*d = 2*m - 1, 4*m - 10 = 4*d + s. Suppose m*n - n - 12 = 0. Calculate the lowest common multiple of n and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9298, 8723, 7774, 6451?\n\"Answer: -187*l**2 - 14*l + 9499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(48) + sqrt(18)\/(sqrt(12)\/sqrt(2)))**2*-3.\nAnswer: -5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776792 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85823 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 5*o**2 - o**2 + (0*o - o + 0*o)*(-2*o + 0*o + 0*o) + (-79 + 239 + 51)*(3*o**2 - 4*o**2 + 3*o**2) to the form w*o + i*o**2 + t and give i.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 0*h**3 - 694 + 697 + 4*h - 2*h**3. Let p be v(-2). Suppose 0 = p*y - 144 - 52. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -809, -753, -531, -59, 747?\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.5, 4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3754.784 + 3681.784006. Let t = g + 73. Round t to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*m + 6*m. Suppose -m + 9 = 9*i. Which is smaller: i or 0.159?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y. Let t(b) = -b. Let i(l) = -21*t(l) - 3*w(l). Let u(x) = x - 9. Determine u(i(s)).\nAnswer: -21*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-15) + 92\/20. Suppose -3*j + g*o + 61 - 12 = 0, 5*j + 3*o - 101 = 0. Suppose -j - 3 = -n + 3*t, 2*n + 5*t = 22. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 20\/3*j**3 - 16*j**2 + 49*j + 0. What is the derivative of n(z) wrt z?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5394 divided by -58?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -1.19722?\nAnswer: 0.0718332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 676303643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10529494.8 to the nearest 1000.\nAnswer: 10529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + (-2 - (-19 - (-45 - 8))).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.2 (c) -37\/3 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/4 - 13)*1\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m**2 - m + 174. Let x be w(0). Let f be -4*162*(-4)\/16. Let j(k) = 0 - f*k + 0 + x*k. Let v(h) = -2*h. Calculate j(v(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 5978886*c + 269053920.\nAnswer: -2*(c - 45)*(c + 2989488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/4)\/((-3)\/(-12)). Let b be 29\/22 - (-2)\/11. Put 0.5, f, b in ascending order.\nAnswer: f, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 824 times 5.7\nAnswer: 4696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -531 + 531. Solve f = 8*z - z + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42974*a**5 - 1879*a + 1 wrt a?\nAnswer: 859480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280674 is divided by 3264.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 903295, 1806584, 2709859, 3613114, 4516343, 5419540, 6322699, 7225814?\n\"Answer: -k**3 - k**2 + 903299*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l. Let s(b) = 4*b**3 - 5*b. Let x = 4 - -11. Determine x*h(j) - 3*s(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, 5 in decreasing order.\nAnswer: 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 70*s**3 + 0*s - s + s**2 + s**2. Let u be a(1). Let b = u - 49. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/((-516)\/774) - 4\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -270, 35, -2 in ascending order.\nAnswer: -270, -3, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42974093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119))\/sqrt(7) - (sqrt(34) - 1*sqrt(34))\/sqrt(2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -11 + 6 + -4 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 2*y + 2*f, 0*y + 615 = 5*y + f. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-3) + (-4)\/20*0. Suppose 4*z - u - t*u - 320 = 0, 0 = -4*u. Calculate the highest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1443 + 3636 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(684) + 1*sqrt(684))*1 - (1 + sqrt(684) + 1*sqrt(684))**2) + 3).\nAnswer: 72*sqrt(19) + 16404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9223, -9209, -9191, -9169, -9143, -9113, -9079?\nAnswer: -9041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 - -5 - ((3 - -1) + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152307030 to the nearest integer?\nAnswer: 12341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let l(c) = 1 - 2*c - z. Let j(w) = -8*w + 7 + 5 - 13. What is 2*j(v) - 9*l(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 39*d**2 + 352*d - 56. Calculate u(18).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/3 + -32736 + 0. Let w be 2\/(-8) - b\/8. Suppose i - 4*z + w = -0*i, -4*i - z - 16402 = 0. Round i to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*x**2 + 3248*x**2 - 670*x**2.\nAnswer: 3601*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**2 + 717*f + 6324. What is t(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 3. Give f(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -59, -92, -129, -170, -215, -264?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-72)*(4 - (-44)\/(-56)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -17\/7, -25, -0.3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1187.27 from -11525.6.\nAnswer: -12712.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + -13 + (6 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 10540*m**2 + 306901100*m + 613760000 = 0. Calculate m.\nAnswer: -6850, -2, 8960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)*r**17*r*r\/r**(-28)*r*r**24)**(-5\/8) assuming r is positive.\nAnswer: r**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38880 and 2880?\nAnswer: 77760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = s - 2*s. Let q = -100 - s. Suppose 17 = -4*y + q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*t**6 - 9*t**5 + 2*t**4 - 3241*t**2?\nAnswer: -2280*t**3 - 540*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7 + 59*q**2 + 2 + 67*q**2 - 127*q**2 + 4*q. Let o be f(5). Let z = -1 - -1. Solve z = o*k + 5*y - 4, 3*k - y = 2*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 7*l**2 - 27*l + 88. Let j be x(9). Solve 0 = j*u - 14*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 555.37167 and -3203.\nAnswer: -2647.62833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.07083?\nAnswer: 0.035415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(26*a**2 - 44*a**2 - 118*a**2)*(-2 + 2 + a**2) to the form s*a**3 + l*a**4 + c*a**2 + q + z*a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203860581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4 + 47255*q**3 + 39729*q**2.\nAnswer: 24*q + 283530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17851*y**2 - 1 - 321*y - 8925*y**2 - 8922*y**2 to the form o + j*y**2 + l*y and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5597 - 5087. What is the remainder when h is divided by 228?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -247422657*a*w**2 - 17*a - 6215060*w wrt w?\nAnswer: -494845314*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 8*t**2 - 8*t - 7. Let q be r(-7). Suppose -2*o - 184*h + 4 = -183*h, -4*o - 16 = -4*h. Solve q*s - 5*s - 25 = o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nazanfnananaannfna. Give prob of picking 1 z and 1 f.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i - 2*v + 8, -i - 4*v + 16 = 0. Suppose 3*y + g = -i*g + 11, -5*y + 15 = g. Suppose 17 = y*z - 55. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379989254 is divided by 2339.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208 = -2*d - 2*d + 4*a, 5*d = -a + 1498. Round d to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1031 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813015299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + 108*g**2 + 128*g - 398. Determine q(28).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**14)**(17\/3)\/((f\/(f\/(f*f**(-1\/4)\/f)))**(-1\/19)\/((f**(2\/7)\/f)\/f*f)**(1\/19)) assuming f is positive.\nAnswer: f**(-31735\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/27)\/(3\/6*-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22129711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1725322 to the nearest ten thousand.\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**3 - 146*z**2 - z - 58. Determine s(-21).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 51, 102, 171, 258?\n\"Answer: 9*a**2 + 6*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -a79351 (base 12) to base 14\nAnswer: -4cd7d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 202, 33, -136, -305?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.516 + -6351986923.54.\nAnswer: -6351986922.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 328593072 to the power of 1\/2, to the nearest integer?\nAnswer: 18127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321504 divided by 274848?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17106705 to the power of 1\/2, to the nearest integer?\nAnswer: 4136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.353 - 12.353. What is the biggest value in -1663, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1533264 and -75\/976.\nAnswer: 93529104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 30 + 32)*(-4*y + 0*y + y) + (5*y + 0*y - 4*y)*(2 - 1 + 0))*(-2 + 2*y**2 + 2 + 2*y**3).\nAnswer: -328*y**4 - 328*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 196, 295, 396?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.855 millimeters in meters?\nAnswer: 0.432855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Let w(r) = -2*r + r + l*r + r. Let t(c) = c**2 + 174*c - 174*c. Determine t(w(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o*o**10\/o))\/o))**(2\/25)\/(o\/o**(1\/2)*o**(-5\/3)\/o) assuming o is positive.\nAnswer: o**(469\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1827 from 566.2836.\nAnswer: 566.4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 9*q + 8. Let h be k(8). Let p(u) be the first derivative of -2 + 3 + h*u - u + u**2. Calculate p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1637 + 2*j - 807 - 5312 + 1725 - 6225.\nAnswer: 2*j - 8982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141555 is divided by 2399?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as 179\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 68\/60)\/((-112)\/8376). Let l = 91\/15 + q. Find the common denominator of 157\/30 and l.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -0*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -143*k**3\/2 - 14691*k**2\/2 - 179811*k - 81432 = 0. Calculate k.\nAnswer: -696\/11, -39, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -87, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 0)*(-3)\/2. Let q = -5 - -14. Suppose -11 = -3*h - r, h - k*h + 3*r = -q. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -547, -589, -651, -739, -859, -1017, -1219?\n\"Answer: -m**3 - 4*m**2 - 23*m - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 32 - -34) + -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1031 and -1030 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 2\/18273, 3\/2, 2?\nAnswer: 2\/18273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 958735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4566*c = -4391*c - 175 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1706*g**2 - 7*g. Let p(x) = -x**2. Give r(p(k)).\nAnswer: 1706*k**4 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -950 (c) 4040 (d) -0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-5)\/((-150)\/24). Suppose y = -3*v + 16, -12*y + 24 = i*v - 10*y. Solve -4*r = -v - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let w(f) be the second derivative of -3*f + 0*f**2 + 0 + 1\/6*f**3. Give p(w(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - d. Suppose 5*s - 22 = -4*g + 10, -g = -5*s + 17. Suppose 0 = -2*u + s - 2. Suppose -3*b = 4*r + 4, -3*b + u = r - 2*r. Calculate x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeehaxajhaxaehjhbha. Give prob of picking 1 a and 1 h.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/12 - 13*m**3\/6 + 7*m**2 - m. Suppose 13*s + 96 = 5*s. List the prime factors of d(s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 31*x**2 - 55*x - 3004. Determine d(-31).\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 22*b + 0*w + w = 1, -12*b - 5 = -5*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -18*m + m. Suppose -2*k + 4 = 3*k - 3*o, -m = -o. Solve -c + k + 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9)*j**(-2\/5))\/(j\/j**(5\/6)*j**(-1\/5)))**34 assuming j is positive.\nAnswer: j**(-901\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23588*h**3*x**2 + 1118*h**3 - 4*h*x**4 - 41 wrt x.\nAnswer: -47176*h**3*x - 16*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 150 = -18*l. Suppose 0 = -2*t + 5*k + 11, -3*t + 0*t + 24 = -5*k. Let o = t + l. Solve 0 = o*a - a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -13. Put -4, -3, p in ascending order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-2)\/(-12)) + 6499\/(-402). Let t = 335\/12 + m. Find the common denominator of 73\/357 and t.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - 3*(sqrt(1008) - (sqrt(1008) + -1))**2) + sqrt(1008) + (sqrt(21)*-2*-1)\/(sqrt(27)\/sqrt(144) - sqrt(3)).\nAnswer: -3 + 64*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -0*j. Differentiate -2 - 4 - 2*h**3 + j wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4524*y + 4509*y - 45 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5577986.4000009 + -5578006.4. Let f = 19.965 - -0.035. Let s = n + f. What is s rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ghg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q - 85*q - 1100 = 14*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 75 = -0*y + 3*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*j + 197 - 17, -2*j + 8*b + 154 = 0. Solve 11 + j = -16*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44a7 - 774?\nAnswer: -4c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 4*d**2 - 3*d - 1. Suppose 3*v + 5 - 20 = 0. What are the prime factors of r(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeveevtevdd. What is prob of sequence de?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let f(v) = v. Let j(u) = 5*f(u) - 2*w(u). Let k(o) = -46*o. What is j(k(d))?\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 7 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/13 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 16. Suppose -3*p + 98 + 52 = 0. Calculate the highest common factor of b and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590406?\nAnswer: 2, 3, 19, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041558 rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(891) + -1)*2 - sqrt(891)) + sqrt(891) + -1 + -1)*2 + -1)**2.\nAnswer: -648*sqrt(11) + 14337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 1\/3, -2\/7, 21.2, 0.3, -3106?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102.9999886 + 103. Round g to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*h + 46, v - 4*v - 32 = -h. What is the units digit of (-7)\/v - (-2)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102409.\nAnswer: 102409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1578, 0, -13, 1.4 in descending order.\nAnswer: 1578, 1.4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2213 - 2213 + 1492*j)*(1 - 1 + 1) to the form f*j + p and give f.\nAnswer: 1492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6581824 or 6581825?\nAnswer: 6581824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbblwaawzbawa. Give prob of picking 1 a and 1 z.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*c - c - 151871 = 0, -379646 = -5*y - 3*c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 354c23a - -3?\nAnswer: 354c23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:26 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**2 - 6*c - 17. Let y(d) = 3*d + 0*d - 5 - d - d. Calculate 3*h(n) - 4*y(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1688*k - 236398. What is w(140)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.11584729 - 0.09681\nAnswer: -0.21265729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5*2 + 548\/20. What is the remainder when (d\/(-2) + -2)\/(1\/(-8)) is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735027351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*l**5 - 4053459*l**4 - 126343641*l.\nAnswer: -620*l**3 - 48641508*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001444?\nAnswer: 2, 250361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 15, l - g = -3*g - 100. Let q = 176 + l. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(-57) + (-1)\/(-3). Let x = -769\/3044 + 2\/761. What is the nearest to 0 in -5, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 70. Suppose y*u = 45 - 45. Suppose 0 = -v + 1 - 4. Which is bigger: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 9*a = -19*a + 66. Solve a*l + 135 = 133 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385299 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16672890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 + 27*n - 43*n - 52*n**2 - 29*n + 2*n**2 + 28*n**3 + 50*n**4 + 12*n**3 = 0. Calculate n.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/60*(-10)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.111 - 0.011. Let t = -8.44 - 14.56. What is the third smallest value in u, t, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - c**3 - 6 + 2 - 2*c**3 - 3*c**3 + 0*c**3 to x + m*c + q*c**2 + r*c**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4782.\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2. Let a(r) = -50*r**2 - 2. What is g(a(d))?\nAnswer: -12500*d**4 - 1000*d**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2821 and 704010?\nAnswer: 64064910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 10. Suppose -t*n = 2*n - 105. What is the greatest common divisor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14987, -14988, -14989, -14990, -14991?\n\"Answer: -y - 14986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 15*u - 4475 = 0. Suppose -22*t + 29*t = 14. Suppose -w = -5*x + u, -w + 375 = 2*x + t*w. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -74. Suppose 4*j - b = -0. Let i = 20 - j. Calculate the greatest common divisor of 36 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200 and 63120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 23721310?\nAnswer: -23721315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 3*h**2 + 0*h**2. Let l(k) = k**2 + 2*k**2 - 3*k**2 + 5*k**2. Calculate l(p(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*sqrt(1539) - sqrt(1539) - sqrt(1539)) + (-6*sqrt(171)*-1 - sqrt(171))\/sqrt(9).\nAnswer: -58*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 14*m - 38 = -17*m + 7*m, -2*n - 5*m = 5 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - 2*sqrt(121)*1)\/(sqrt(1584) - sqrt(1584)*4 - sqrt(1584)).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 + 52*b - 120 = 0.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 13*h - 2338236 = 18*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = 2*m. Suppose -4*u + 129 - 429 = m. Which is greater: u or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42496 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 13*p - 940 = 0. Let i = 332 + p. What are the prime factors of i?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/66175 and 3\/3770.\nAnswer: 49895950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - f + 3*f)*(f**2 + 17*f**2 + 13*f**2) - 9*f**3 + 43*f**3 + 14*f**3 to w*f + p + h*f**2 + o*f**3 and give o.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 + -410. Suppose -h = 3*c - 13, -w*h = -42*c + 45*c + 7. Solve 0*t + 4*t = -3*u + 10, -c = -3*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1051801720*b**4*q + 59*b**2*q - 625714*b**2 wrt b?\nAnswer: 25243241280*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263282?\nAnswer: 2, 131641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 29. Let h(b) = -b. Let n(f) = -3*h(f) - t(f). Let i be n(5). Is -0.1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -26*j + 6. Let r(p) = p**2. Calculate r(h(z)).\nAnswer: 676*z**2 - 312*z + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from uufuuluuulullfluluu?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a + 3. Suppose 0 = -o - 2 - 1. Let f be m(o). Let q = -16 + f. Let t(u) = 3*u**2 + 1. Give t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {z: 3, h: 2, r: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**4\/8 + 7*i**3\/6 - 4*i**2 + 6*i - 105. Factor t(c).\nAnswer: -(c - 3)*(c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-17 + 21 + -6 + 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1542761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/3 - 13*c**2\/2 + 20*c + 11. Let i be p(-14). List the prime factors of i + -7 + (-154)\/(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - k - 2. Let u be a(2). Let o = -6 - u. Let j = o + 1. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -682.13 - -3.13. Let w = -679 - d. What is the closest to 0.2 in 5, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -118, -1051, 5 in decreasing order.\nAnswer: 5, 4, -5, -118, -1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 23*k**3 - 6*k - 6. Let c(y) = -22*y**3 + 6*y + 5. Let a(w) = 6*c(w) + 5*i(w). Find the second derivative of a(x) wrt x.\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:36 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swssssswwsw. What is prob of sequence ssss?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 3 (c) -0.49 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.19379 litres to millilitres.\nAnswer: 85193.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 26 + 116*n**2 - 14 - 119*n**2 to the form t + c*n**2 + p*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 4*o. Suppose -o*y + 0*y = 0. Suppose 4*w = 4, 5*w = 3*a + 2 - y. Is a bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-594)\/55*(1 - -1 - 7). Suppose -3*q + j = -12*q. Let m be (27\/q + 3)\/((-6)\/8). Is 4 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 plus 0.348?\nAnswer: 40.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 2*s + 0*s + 2*s**2 - 2*s**3 - 4*s**3 in the form b + g*s**3 + y*s**2 + j*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biiib. Give prob of picking 3 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/462649 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15773 by -31.\nAnswer: -15773\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 899*d - 890*d - 9*d**2 - 6*d**2.\nAnswer: -3*d*(5*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13196 (b) 5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-84)*(-2)\/220*-70.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 2*w**2 + 3*w. Let y(r) = 17*r**3 - 1. Suppose 4*d + 5 = 5*s, -4*d = -7*d. Calculate the lowest common multiple of y(s) and i(3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 4)*(-3)\/(-2). Let d be a\/(-3) + (-3)\/(-1). Solve -d*z = -l + 10, -2*z + 5*z = 4*l - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4482 + -920?\nAnswer: -51a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 8*c - 304. Let t = c - 21. Let q(g) = -g**2 - 13*g - 27. What is the lowest common multiple of q(-9) and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95342.1 to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5632 by -512.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-3717.5\nAnswer: 1115.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6952, 11588, 16202, 20782, 25316?\nAnswer: 29792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167633923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31 and 4.895.\nAnswer: -26.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1601 - 52?\nAnswer: 156b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2. Let r(g) = -8*g. Let s(x) = -23*x. Let j(l) = -8*r(l) + 3*s(l). Determine y(j(c)).\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = -4*m, j - 12 = -3*j + 3*m. Suppose w - j = -w. Suppose -3*x + 6 = 3*a, 10 = w*x - 5*a + 4*a. Solve n = -4*k, -k = -2*n - x*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3383 - -5012. What are the prime factors of z?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*c - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 6 = 2*z. Let q = 67 + z. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2459578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 595056 and 784?\nAnswer: 595056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 97*j**4 - 5974*j - 5970*j + 2*j**3 + 11945*j + 2*j**3 - 11 in the form p + x*j**3 + g*j**4 + o*j + b*j**2 and give g.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -26005.24216 to 1 decimal place.\nAnswer: -26005.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/28960 and 33\/897760?\nAnswer: 897760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -2476793645769.\nAnswer: -2476793645765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2. Let q(s) = s**2 + 14. Let a(b) = -2*q(b) + 14*w(b). Let z(o) be the second derivative of o**3\/2 - 5*o. What is z(a(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725866 a multiple of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, 21, 2.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r**2 + 4*r**2 + r**2. Let g(b) be the first derivative of b**4\/4 - b - 2. Let m(u) be the first derivative of g(u). Calculate w(m(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 7:31 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9a96b9 (base 16) to base 3\nAnswer: -201001201022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/34*2\/3. Let y be 2\/(0 + v + -7)*-42. Which is smaller: y or 15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102870706?\nAnswer: 2, 17, 43, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -109, -146, -165, -160, -125, -54, 59?\n\"Answer: s**3 - 56*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*y**2 - 31*y**2 - 100*y**2 + 15*y**2 + 6*y**2.\nAnswer: -165*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17556\/97 - 181. Let t = 65505\/7 - 19061740\/2037. Let j = p + t. Are 3 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 50*d**2 - 519*d + 215. Calculate b(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 47062*m. Let o(r) = -3*r - 2. Give n(o(k)).\nAnswer: -141186*k - 94124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -777701 divided by 5\nAnswer: -777701\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 131 = 11. Let k be (2\/u)\/(9\/24). Let h = -2979 - -11913\/4. Which is the smallest value? (a) h (b) -2\/19 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, o: 9, r: 1, j: 2}. Give prob of sequence eor.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from xnrxrnxrrnrxnr.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*r - 11, -o - 2 = -5*o - 5*r. Suppose -o*t = -22790 - 17410. Round t to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 + (0 - 7 - -4) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-22)*10\/(-105)*14.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + h - 3*h)*(-1466*h**3 - 1464*h**3 + 2988*h**3 + h**2) as u + d*h**2 + s*h**3 + q*h**4 + z*h and give q.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5006 - 4988. Sort -2, 10, m, -1 in ascending order.\nAnswer: -2, -1, 10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17550.97 + -17551. Let g(d) = -4*d**3 - d**2 - d + 1. Let x be g(1). Which is the closest to l? (a) 0 (b) 19 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**4 - 97454*u + 585410?\nAnswer: -16*u**3 - 97454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and ((-42)\/(-1))\/(4 - 2).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62194608 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 4992827?\nAnswer: 24964135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3962 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -363*l. Let u be h(1). Let g = 571 + u. Let p = g + 49. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 275386.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v**2 + 0*v**2 + 24*v**2 + 3*v + 26*v**2 + 28*v**2 in the form r*v + u*v**2 + a and give u.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2. Suppose 0 = 5*s - 4*s - 2. Let c(j) = -2*j + 17*j**s + 2*j + 3*j**2. Calculate g(c(i)).\nAnswer: 800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 3 = 3*r, -2*r - 4*n = 0. Let u(z) = -5*z**3 + 2*z**2 + z + 2. Give u(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110211200 + 202100?\nAnswer: -110002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -72 and 327\/2012 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2422 divided by -1211.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/(-52)*(132\/11)\/12.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 6558*x**3 + 335109*x**2 + 650532*x + 321984 = 0 for x.\nAnswer: -48, -1, 2236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -35. Let u = -8 + k. Let j(f) = f**3 - 6*f**2 + 4*f - 8. Let w be j(u). Solve -4*q + w = 0, 12 = -4*y - 2*q + 5*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(-12) + (-3520)\/2112. Factor 2*r - 7\/4 - l*r**2.\nAnswer: -(r - 7)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 2. Let v be z(11). Let w(p) = -13*p - 8. Let y be w(v). Suppose -y = -5*j + 66. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222116806?\nAnswer: 2, 107, 1037929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3085, -3089, -3093, -3097?\n\"Answer: -4*m - 3081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = 18. Let j = 6 - u. Let f(m) = -m + 6. Calculate f(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 4*t + 110. Give o(-18).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 6*a**2 + 7*a - 10. Suppose 4*v = 4*k - 28, -3*v + 14 = -5*v - 4*k. What is l(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 42*b**2 + 11*b + 8. Let l be u(-25). Suppose l = 7*r + 2231. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*t = 3224 + 3400 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 219. Let x be n(42). Which is the nearest to -1\/4? (a) x (b) 0.2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/17)*t\/t**(2\/7)*(t\/t**(-1))\/t**(-4\/9) assuming t is positive.\nAnswer: t**(3509\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = -m, -m - 3*g = 2*g + 11. Put -1, -2, m in decreasing order.\nAnswer: -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242*r + 61?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329*b = -1336*b - 147. Let f = 21 + -51. Let l be f\/b - 15\/35. Solve -n - u = 6, -8 = 4*n + u + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 - 32512*k + 66. Give q(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/3 - 92*y. Let p(g) = 2*g**2 + 88. Give p(d(v)).\nAnswer: 8*v**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 16, 3, 1, 4 in increasing order.\nAnswer: 1, 3, 4, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11604643 (base 7) to base 15.\nAnswer: 1593c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 2, i: 1}. What is prob of sequence vn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:43 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6364 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*4*((1 + sqrt(637))**2 + sqrt(130)\/sqrt(90)) + -3) + -2.\nAnswer: -15305 - 344*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38307441 is divided by 1302.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -552194, -552196, -552196, -552194, -552190, -552184, -552176?\n\"Answer: f**2 - 5*f - 552190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -774269154212 take away 0.3?\nAnswer: -774269154212.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9461, -9189, -8727, -8063, -7185, -6081?\nAnswer: -4739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Suppose w*f = 2*d - 215, 210 = -0*d + 2*d - 4*f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3 - 33*r**2 - 119*r - 87 = 0.\nAnswer: -29, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66852 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 258*h**2. Let c(o) = -37*o**2. Let a(q) = 15*c(q) + 2*k(q). Let s(t) = -9*t**2. What is s(a(n))?\nAnswer: -13689*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3831 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -4. Suppose -t*f = 2*f - 24. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 41 = 4*r + a, 4*a = -r - 14. Let v = 91 - -16. Let c = v + r. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -362 - -717989?\nAnswer: 717627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3355927 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 27*g**2 + 2*g - 55. Calculate k(27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 48*f**2 - 3*f + 2. Let l(q) = 21*q + 10. Let v be l(5). Let w = v - 117. Is y(w) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 323*g - 650. Let c be x(-2). Solve 2 = -4*y + 5*q - c, -5*q = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4206*i - 4525. What is the tens digit of t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (-1 + 2 - ((-21 - -82) + -77))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10470003, 20940010, 31410017?\n\"Answer: 10470007*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/34)\/((-1)\/12). What is the tens digit of q\/21 + (82\/7 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -112, 61604 in ascending order.\nAnswer: -112, -3, 61604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w**2 - 561*w**2 - 1 + 1.\nAnswer: -606*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120012210000 (base 3) in base 10?\nAnswer: -1893780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/((z*z**(1\/4)*z)\/z))\/z)*z*z**7*z)**(-42)*((z**(-2))**(-1\/16))**38 assuming z is positive.\nAnswer: z**(-1703\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1763328 and 95424?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399686602 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757678308?\nAnswer: 2, 3, 181, 348839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 72. Give n(26).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-415)\/(-6972)*(-7)\/(-18).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -312 and -322 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) + 1 + 3. Let p be (-12)\/(-28)*2\/d. What is the third biggest value in p, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*u + 16 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + x**5 - 4*x**5 + (-5*x**4 + x**4 + 2*x**4)*(0 + 0 - 2*x) - 29*x**3 + 29*x**3 + 14*x**5 - x**4 + x**4 + x**5.\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3300 is divided by 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76))\/sqrt(4) + (1*(sqrt(19) + 0))**2.\nAnswer: -sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s + 34*s - 9*s. Let q(o) = -2*o. What is p(q(f))?\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21d2 - -be5?\nAnswer: 2db7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1804731.\nAnswer: 180473.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by -190\nAnswer: 43\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3623473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 6*d - 855. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -432 + 351 - (-2 - 109).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 26*n + 80. Let k be w(23). What is the derivative of 15 + 11*j + k + j + 39*j wrt j?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*l - 13*l + 6*l)*(1 - 1 - 2) + 2*l - 2*l + 2*l to the form d + x*l and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 157721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-5*2\/7)\/(156\/273)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42031 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91.5? (a) -218 (b) 8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 8)*(2 + 2 + 1)*(15*v + 14*v - 9*v).\nAnswer: 1100*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Let d(g) = -g**3 - g**2 + 75*g - 24. Let h be d(8). Let s(j) be the second derivative of 0*j**3 + h*j**2 + 0 - 2*j + 1\/4*j**4. Give l(s(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*v + 1 + 5.\nAnswer: 8*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, 1\/2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 238427976*q\/5 + 7105987467432072\/5.\nAnswer: 2*(q + 59606994)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5776713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 28*k - 1. What is z(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 19\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1465\/9 + 163. Suppose 4*u + n - 85 = -0*n, n - 45 = -2*u. Suppose q - 5*q - u = 0. What is the third biggest value in 1, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 4:47 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 65 - 49174*u - 97 + 49653*u.\nAnswer: -u**2 + 479*u - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253797242 and 18?\nAnswer: 2284175178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*k = -4, 3*h + k = -k - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4852018.\nAnswer: 5\/4852018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1)*1)**2 + 6*(sqrt(17) + -1 + 1).\nAnswer: 2*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from {t: 1, e: 2, d: 1, q: 1, f: 2, w: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 3*j**4 - 2*j + (-2*j**2 - j**2 + j**2)*(0*j - j**2 + 0*j) + 4*j**4 - 5*j**2 + 5*j**2 to the form l*j**2 + v*j + n*j**4 + m + t*j**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108947 is divided by 803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1526 - -2189. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 518181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.2243 centuries in years?\nAnswer: 5222.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Suppose k + i = 3*k - 50, -5*k + 4*i + 131 = 0. Let u = 0 + k. Let f(n) = -u + 23 - 21*n. Give f(a(g)).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by (-9)\/6 - 125\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2371008 and 466?\nAnswer: 2371008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/21 + -2 - (-6)\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.52 + 0.48. Sort 1\/3, 4\/5, 4, i in descending order.\nAnswer: i, 4, 4\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 154 - 9844?\nAnswer: -96a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3966260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1458909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 569016 and 113400?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -200\/475613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2529 - -1.7529. What is the second biggest value in -1, -0.1, c, 5.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 17*g. Let j(m) = 73*m**2. Determine z(j(s)).\nAnswer: -10658*s**4 - 1241*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54877 - 32090. Suppose -m - 57020 = -13*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 356304465. Let g(d) = -d**2. Determine t(g(o)).\nAnswer: -o**2 + 356304465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36598 + -8759. What are the prime factors of d?\nAnswer: 7, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2. Let a(l) = 339*l + 2. Calculate a(o(u)).\nAnswer: -339*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1 (c) -6 (d) -3\/2 (e) 10.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2 - 1)\/(-8))\/(1\/(-2)). Let z(q) = q + 9. Let h be z(-6). Factor 0*l**2 + 0*l + t*l**h + 0.\nAnswer: l**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-8) + (-1)\/(-4). Suppose 3*i - 5 + 23 = -3*r, 0 = 4*r - 4*i - 16. What is the units digit of (r + (-6)\/b)*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 14 = -18*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-3)\/(-1))\/3. Let g be 1\/2 - 45\/(-2). Let n = -236 - -247. Solve -5*p + c - g = o, p + n = -p + c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34.56 and 4076.1?\nAnswer: 140870.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g - 32 + 26 - g. Let v be c(-6). Solve 3*j = -s + 15, v = 4*s - j - 2*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6731 and 2597371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 95 = 5*a, 2*a = -2*r - 0*a + 52. Suppose 30 = -5*z - 2*x, 5*z - 8 = -3*x - 38. Let g be 10\/(-2)*z\/5. Solve g*v - r = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(4*v - 4*v + 4*v) - 2 + 2 + v + (0 - 1 + 2)*(v + v - 4*v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31463052 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -12832178*h**5\/7 + 3310722188*h**4\/7 - 216817707608*h**3\/7 + 420827191312*h**2\/7 - 664145920*h\/7 + 262144\/7 = 0.\nAnswer: 2\/2533, 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 divided by 3.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 78, -8662 in ascending order.\nAnswer: -8662, -52, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94\/(-18) + 2\/9. Let f(x) = 2167*x**2 - 2130*x**2 + 7*x - 12 + 11. Is f(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 36. Let h = 6 + q. Which is the closest to 0? (a) h (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/9 - 4514*f**2\/9 + 5062304*f\/9 + 71759744\/9 = 0. Calculate f.\nAnswer: -14, 2264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4309 is divided by 1945?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/15888 and 49\/114?\nAnswer: 301872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 d when four letters picked without replacement from {d: 3, c: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*b = -39, b + 0*b - 43 = -2*u. Let d(m) = m + 11. Let q be d(-10). Let f = 37 - q. Calculate the remainder when f is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -1\/7 (c) 18 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 5*s**2 + 5*s - 2. Let m(r) = 3*r**3 + 4*r**2 - 4*r + 1. Let d(h) = -4*c(h) - 3*m(h). Let w be d(7). Which is smaller: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.4? (a) -0.407 (b) 0.4 (c) 3\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/27 + (-3 - 0). Let h = v - 1\/9. What is the closest to 1 in -0.5, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52919 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/(-3)*(-24)\/(-16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527399323 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 5*p**3 - p**3 + (p + p - p)*(-p**2 + 0*p**2 + 0*p**2) + (3*p**3 - 3*p**3 + 2*p**3)*(-1 - 2 + 1).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16009*h**3 + 1 - 1 - 17628*h**3.\nAnswer: -1619*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - 1.2. Let q be 13\/4 - (2 + 1). Which is the nearest to q? (a) y (b) 9 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1467, 3, -510, 29 in increasing order.\nAnswer: -510, 3, 29, 1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**2 - 14. Let q(u) = 15*u**2 - 7*u**2 - 2*u**2. Give t(q(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -150639, -150612, -150585?\n\"Answer: 27*g - 150666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556404 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2381432414?\nAnswer: 2, 1190716207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(1518\/12 - -6). Let h = z + -174. Calculate the greatest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417786.4 micrometers to kilometers.\nAnswer: 0.0004177864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/7 or -14?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.040415 from 52243.\nAnswer: 52252.040415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002380073134 rounded to 7 dps?\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233 + 233. Let v be (1 - (-61)\/8)*-2. Let q = v + 17. Which is the nearest to q? (a) h (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + a277?\nAnswer: a27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r + 15628*r**2 - 50*r + 15651*r**2 + 25*r - 31293*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -1?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.09 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqiiqiiqqi. What is prob of sequence iiq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 54. Let r be 15*5\/(b\/4). What is the tens digit of 555\/12 - r\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 1. Let n(x) be the first derivative of -5*x**2 + x + 866. Give n(p) - u(p).\nAnswer: -9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 + 2*n**4 + 4*n**3 - 2*n**3 + (610*n + 175*n - 167*n)*(1 - 1 - 2*n**3 - 4*n**2) to the form b*n**2 + u*n**3 + m + w*n**4 + v*n and give u.\nAnswer: -2470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(((-40)\/16)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/150 - v**5\/150 + v**4\/60 - 4*v**2. Factor d(m).\nAnswer: -2*m*(m + 1)*(2*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 93503751 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 4, z: 2, a: 5, o: 1, j: 2}. Give prob of sequence bja.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50710, 101626, 152738, 204052, 255574, 307310, 359266?\n\"Answer: t**3 + 92*t**2 + 50633*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*z + 11175, -5*z - 17127 = -3*p + 16365. Is 144 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1152 and 53\/2820?\nAnswer: 270720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 4, 5, 3 in descending order.\nAnswer: 5, 4, 3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 88 - 85 = -3*k, 2*k + 2 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, -8, -71, -3, -313, -5 in decreasing order.\nAnswer: 11, 1, -3, -5, -8, -71, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 0.05, -0.4, -25, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5355.99968 - -5356. Round v to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 21*y - 42. Let b be s(-2). Solve -123 = b*p - 127 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 633 - 77. Suppose 2*q - u = -4*i, 153 + 227 = 5*i - 4*q. What is the remainder when i is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5 - 3\/5*c**2 + 3\/5*c**3 - 3\/5*c.\nAnswer: 3*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(684) + 1)*2)**2.\nAnswer: 120*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*u + 608. Suppose 235 + u = 3*r. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -124. Let z be ((-119)\/b)\/(2\/(-16)). Let j be 2*28*6\/4. Calculate the greatest common factor of z and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:10 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = -3. Suppose -21*t = -16*t + 25. Let k = p - t. Solve -x = 2 + k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1443587 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184826894 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2\/2 + 68519*i = 0.\nAnswer: 0, 137038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 236. Does 16 divide 4\/2 + h\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2916.78 times 0.21\nAnswer: 612.5238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -10. Solve -h - 3*h = t - 11, h - l*t = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16479, -32949, -49415, -65877, -82335, -98789, -115239?\nAnswer: -131685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*u - 3*l + 186, 0 = 2*u + 5*l - 124. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -327, -1194, -2579, -4488, -6927, -9902, -13419?\n\"Answer: -d**3 - 253*d**2 - 101*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.36 + -0.06. Let i(z) = z**3 - 12*z**2 + 8. Let u be i(12). Let d be (-28)\/20*u\/(-14). Sort 1\/2, j, d.\nAnswer: j, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232335 - -11613?\nAnswer: -220422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*y + 22 = 0, -l - 3*y = l - 44. Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*a - 15 = 44, 0 = -4*f - 3*a + 109. Solve 8 = -36*y - f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 4. Let o be m(10). Suppose q + o - 123 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.215138 to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**2 - 6*j - 3. Let q(l) = -26*l**2 - 16*l - 8. Let f(s) = -8*a(s) + 3*q(s). Let v(t) = -7*t**2. Calculate f(v(r)).\nAnswer: -294*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 811 + 849. Let u = -473 + h. Let j(y) = 355*y - u*y + 0 + 0. Let m(t) = -7*t**2. Give m(j(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/2692 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 2021\nAnswer: -2021.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 8. Suppose -5*j - 7 = 3*s, 5*s + 0*j = -3*j + 15. Is s at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c - 5*v + 684 = 0, -372 = -2*c + 5*v. What is the remainder when c is divided by 65?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(56\/32).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -12 (c) -1\/2 (d) 1857 (e) 1\/4 (f) 0 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 + 0.23. Let q be 8\/(-12) - (-13)\/15. What is the nearest to r in 4\/5, 1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, 0.5, 341 in descending order.\nAnswer: 341, 0.5, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 337 - 316. Solve t + 2 - 14 = -3*i, -5*i - 2*t = -z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52773296.\nAnswer: 2, 61, 139, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248113 + -42303577.\nAnswer: -42551690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 + 3*d**3)*(0 + 0 + 2*d**2) - 3*d**5 + d**5 + d**5 - 8*d**5 + 12*d**5 - 1 - 7*d**5.\nAnswer: -2*d**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (321 - 346 + 656)*((-5 + 1 + 6)*(2 + 0 - 1) + 2 + 0 - 3)*(-3*h**2 + 3*h**2 + 5*h**3) to the form z*h + g + j*h**2 + x*h**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/55 and (1653\/8294)\/(-1 + -2).\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 - -2. Let h = t - -1.7. Let m = h - 1.499992. Round m to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*t)*(-3*t + 8*t + 0*t) + (-4*t**2 + 3*t**2 - 3*t**2)*(-3 - 2 + 6).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**3 - 2*y + 1. Let w be k(1). Suppose o - 2*f = w, -5 = -o - o + f. Solve -2*p + 0*p = -o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9931 * 2.8.\nAnswer: -11.18068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 + 134*p**2 - 61*p**2 - 47*p**2.\nAnswer: 5*p**3 + 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/697 and 101\/88.\nAnswer: 61336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-897*x - 868*x + 1442*x)*(3 + 5 - 5).\nAnswer: -969*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j*(j\/(j\/(j\/(j\/j**(-1\/3)))))\/j*(j\/(j**(2\/11)\/j*j))\/(j**(2\/5)\/j))\/((j\/j**1*j*j)**26*(j*j**(-1\/6))\/j**(2\/5)) assuming j is positive.\nAnswer: j**(-3367\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/5 or 2903311?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21903930 divided by -4380786\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 + 267. Which is the closest to v? (a) 0 (b) 4 (c) -0.1 (d) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 4*b + 5. Let v be i(4). Let q = v - 14. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + -3*sqrt(242)) - (-4*(sqrt(242) - -5*sqrt(242)*4))**2.\nAnswer: -1707548 - 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1749.7 rounded to the nearest ten?\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -2*i**3\/21 + 10*i**2\/7 - 50*i\/7 - 38. Factor a(n).\nAnswer: -2*(n - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000702 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 136 + 256 = 0. Let n be (48400000\/(-6))\/(4\/j). What is n rounded to the nearest 1000000?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + 0 + sqrt(3564) + -3 + -5*(sqrt(3564) + sqrt(3564) + -2) + 3)**2.\nAnswer: -3240*sqrt(11) + 288784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen halves of a decade in years?\nAnswer: 95","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 182.9 + -182. What is the nearest to -2\/13 in -5, -2\/11, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, -225, 3.\nAnswer: -225, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 411*h**2 + 426*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 + 9\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let g(h) be the second derivative of -25*h**4\/4 + h**2\/2 - 2*h - 100. What is g(i(p))?\nAnswer: -75*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 1. Suppose -3*y + 2 = -4*d, -5*d + 5*y + 4 = 9. Give h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -41 + (-13 - -18) + 13 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 413 - b - 135 - 131 - 152. Let x(m) = -2*m - 9. Calculate 11*v(d) - 6*x(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32bcfc4 + 3?\nAnswer: 32bcfc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*c**2 - 2\/3*c + 2\/3 + 2\/3*c**3 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13769719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 3403971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 3:15 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 2*m**2 - m + 4. Let b be i(0). Suppose 0 = 4*x, -x + 249 + 2031 = b*r. Round r to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*a - 1. Let x(o) = -o. Let h(c) = -c - 3. Let m(p) = a*h(p) + 3*x(p). Calculate m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-79313.\nAnswer: -23793.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 20*p + 80. What is w(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**6\/6 + 313*h**5\/20 + 11*h**3\/6 + 23*h**2\/2 + 3269*h. What is the second derivative of b(x) wrt x?\nAnswer: -60*x**2 + 1878*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 104013?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16\/9)*g*g*g*g\/(g\/(g*g**(-15)*g))*g)\/(g\/(g**(3\/2)*g))**(10\/17) assuming g is positive.\nAnswer: g**(-1514\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519990?\nAnswer: 2, 5, 97, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270946 is divided by 6262?\nAnswer: 6022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5485734?\nAnswer: 2, 3, 304763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.08, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, 1 y, and 1 a when four letters picked without replacement from {k: 1, c: 4, y: 1, d: 1, f: 1, a: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2543, 20307, 68513, 162383, 317139?\nAnswer: 548003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32991 - -52407. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2448))*-1 + -3*(sqrt(68) + (1 + sqrt(68))**2).\nAnswer: -207 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b - 189. Calculate the lowest common multiple of y(-27) and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -10*s + 5*s. Let m be (0 + -12)*s\/75. Find h such that -m*h**2 + 21\/5*h**3 + 4\/5*h + 0 - 9\/5*h**4 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30075341 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeue when four letters picked without replacement from {e: 5, u: 13}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -1)*(156\/18 + -7). Let k(x) be the third derivative of x**4\/24 - x**3\/3 + x**2. Let m be k(1). Put s, m, 4 in increasing order.\nAnswer: s, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**2. Let v be 5\/(15\/(-6)) + -1. Let u be v\/(2\/(-2)) + 0. Let n(w) = -w + w - u*w + 2*w. Give n(i(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3260 - 3253. Suppose -3*f + 162 = -108. What is the remainder when f is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 2. Suppose 0 = 5*f - r*y - 4439 - 4326, -2*f + y = -3505. What is f rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1053 + -1029. Calculate the lowest common multiple of 235\/15 - (-1)\/3 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*y**2 - d**2*y - 32*d*y**2 - 8*y**2 + 3 with respect to d.\nAnswer: 4*d*y**2 - 2*d*y - 32*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127048 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.84663 micrometers in centimeters?\nAnswer: 0.003384663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -106. What is the greatest common divisor of c and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10 - o**2 - 5 + 5*o + 16. Determine a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4.4. Let w = s - 0.1. Which is the closest to 1? (a) -0.1 (b) w (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26311330 (base 7) to base 10\nAnswer: 2406313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.137 and -2.\nAnswer: -0.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(2*d + 5*d - 3*d)*(0*d - 5*d + 3*d)*(d - 12*d - 5*d).\nAnswer: 128*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 6}. Give prob of picking 1 s and 2 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.01 - -17. Round c to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.03?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + 4*u + 6)*(-3 + 4 + 1)*(8 + 9 - 7) + (-1 - 3 + 1)*(0*u + u - 2*u).\nAnswer: 23*u + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 7*m - 8. Calculate the remainder when s(6) is divided by (-2)\/(-5) - (-118)\/5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 95 = 30*i + 66. Solve i*u - 7*u - 12 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1499003 and 0.00174.\nAnswer: 1499003.00174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + 76 + -79 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkeb when four letters picked without replacement from kozebeb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67.093 - -0.093. Let c = o + 9. Let s = 57.98 + c. Which is greater: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7 - 3 - z - 4. Let d = -5 + 7. Let n(j) = 2*j**2 - 2*j**d - 3*j**2 + 7*j**2. Determine q(n(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-9))\/(41807\/(-582) - -73).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 705875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-6)*48\/20. Let a(z) = z**2 - 9*z + 9. Determine a(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 20. Let r be 2\/k*-10 - -2. Let m(n) = -9*n**2 + n - 5. Let f(x) = -8*x**2 + 2*x - 6. Let s(b) = r*m(b) - 5*f(b). Factor s(y).\nAnswer: -2*y*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + 0.08000041. Round s to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/130 + 13802\/(-26). What is the tens digit of (-2)\/8 + x\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -4. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1636713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - 0.05. Let i(t) = -t - 3. Let u be i(-2). Sort -4\/3, w, u in increasing order.\nAnswer: -4\/3, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*u**2 - 23*u**2 + 34*u**2 - 4 wrt u?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35032 and 23721043?\nAnswer: 4379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156 + -159 - (2 + 0 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145758611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 - -24)*14\/(-21)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-3\/16)*y*y**1*y**(1\/3))\/((y\/y**(-2\/3))\/(y*y\/((y\/(y*y\/(y\/y**(2\/15))))\/y))*((y*y*y\/y**(-2\/3))\/y)**(6\/11)) assuming y is positive.\nAnswer: y**(2229\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/280 + (-2)\/(-10). Let v = -1\/4 + g. What is the biggest value in 0, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97511148 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, x: 6, f: 3, o: 3}. Give prob of picking 1 o and 2 f.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**3 - 4891*n**2 + 4863.\nAnswer: 3*n**2 - 9782*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93004157 by -3.\nAnswer: 93004157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14646, 14644, 14642, 14640, 14638?\n\"Answer: -2*n + 14648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 2. Let c be i(0). Let h be (-3)\/12 - (-1)\/4. Solve t**3 + 3*t - 1 + h*t**3 + 2*t**c - 5*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02357353 rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -20. Let v = 52 + m. Let x = -22.999991 + v. Round x to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 11538432.\nAnswer: 80769024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5 + 3 + 4 - 5 + (3 - 7 + 3)*(-3 + 1 + 0) - 5 + 4 + 0 + 3 - 13 - 5)*(-3*l + 3*l + 2*l) + l - 2*l + 3*l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-4)\/(-2))*-24. Let a = 40 - n. Suppose a = 3*p + p. Solve -g - 3*g - p*r - 12 = 0, 2*r = -5*g - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 89 = -3*t - 7*n, 3*t + n - 18*n = -155 + 826 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 746161 divided by 57397\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x. Suppose x*p - 10 = -p. Calculate the remainder when (-6)\/21 + 121\/7 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/27)\/w*w)\/(w*w*w**(2\/5)))\/((w*w**1)\/w)**10)**(1\/36))**16 assuming w is positive.\nAnswer: w**(-6736\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 20*h - 19. What are the prime factors of i(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*b + 5*h, 0*b + 3*b + 4*h + 12 = 0. Suppose -3*f - 5*s + s + 9 = b, -f + 3 = -2*s. Differentiate -f*k + 1 + 3*k + 4*k with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36194*d - 36197*d - 36, 6*d = 5*w - 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8022, -8016, -8012, -8010, -8010?\nAnswer: -8012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -5. Suppose 2 = 12*b - 10*b. Sort b, 3, n in descending order.\nAnswer: 3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -4) + -4 - (-708)\/378. Let y = 103\/315 + d. Suppose -3*t - 4 + 1 = 0. Which is the nearest to 1\/2? (a) y (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -1\/126*y**7 + 0*y**2 - 1\/18*y**4 + 1\/180*y**6 - 6*y + 8 + 1\/15*y**5 + 0*y**3. Solve b(n) = 0.\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13*s - 1. Suppose -2*r = -0*r + 3*h - 18, -5*r = -3*h - 3. Suppose -z - r = -2. Determine b(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4591 = -1666*a + 18733 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9576 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p\/((p**(-4)*p*p)\/p))\/p)\/p*p**(2\/7)\/p*p*(((p\/(p\/(p*p\/((p\/(p*(p**(-2\/7)\/p)\/p))\/p))))\/p*p)\/p)**3)**(-12\/13) assuming p is positive.\nAnswer: p**(-204\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.095 - 0.114. Let f = 0.791 - m. Is -2 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:39 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n - 60*n**2 + 2*n + 66*n**2.\nAnswer: 2*n*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a3362 (base 14) to base 10.\nAnswer: -8998250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -295, -12, 5, -4 in descending order.\nAnswer: 5, -4, -12, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -0.03 (c) 0.03 (d) 35 (e) 2\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-25))\/((-4)\/16*(-8)\/14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f5dd (base 16) to base 10.\nAnswer: -128477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-744 - 32*g + 85*g + 753)*(-g**3 - g + g + g + g**3 - g + (g + 0*g - 3*g)*(-g**2 + 3*g**2 - 3*g**2)).\nAnswer: 106*g**4 + 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9798948 and -109\/34840704?\nAnswer: 313566336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/12*(-10)\/25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (sqrt(120) - (sqrt(120)*-2 + sqrt(120))))\/sqrt(2) + sqrt(60))\/(sqrt(24)\/sqrt(4)*5))\/((sqrt(1620) + 2*sqrt(1620) + sqrt(1620))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 56\/18) + 2. Let c = 0.222623 - 0.122623. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 24*r + 1029 = 61*r. What is the smallest value in -5, 0.15, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7319, -7294, -7257, -7202, -7123?\n\"Answer: i**3 + 18*i - 7338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 3?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 + -122.0000107. Round j to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/12 - z**3 + 3*z**2. Let i be r(4). Suppose 4 = h - s - i, s = 4*h - 21. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -1\/70*p**5 + 3 + 1\/7*p**2 - 1\/7*p**3 + 1\/14*p**4 + 3*p. Let i(f) be the first derivative of c(f). Factor i(t).\nAnswer: -2*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147456 + -31466?\nAnswer: 1115990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 560\/70 + (-7 - 1). Is o <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + 0 - 0) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**3\/3 - 12. Let z = 2 - -1. Let o(c) = c + z*c + c. What is t(o(g))?\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9975696*v**3 + 6882767 wrt v.\nAnswer: -29927088*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 25. Solve -5*p - u = -2*q, p = -4*p + 3*q - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-63)*28\/30?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 24 - 38, u - 5*k = 33 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 7*h. Suppose -2*j - 12 = -0*j. Let u be f(j). Suppose 0 = -2*z + u + 44. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50278 divided by -4\nAnswer: 25139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let m(c) = -3*c. Suppose 0 = -3*b - 0*b + 12. Let x(g) = -g**2 + 3*g + 1. Let u be x(b). Give u*m(f) + 4*l(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4704 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 2. Let x(v) = -v**2 - v + 1. Let k be x(3). List the prime factors of z(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5740 and 69044.\nAnswer: 2416540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(0 - (-20)\/(-8)). Let t = 9 - 5. What is the third biggest value in a, 2, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11331 + 20?\nAnswer: -11311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 10:22 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10911 or -10909?\nAnswer: -10911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 17 = -3*y, -2*t + 0*t - 4*y = -34. What is the greatest common factor of 85 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {d: 1, h: 2, q: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and -1.00322.\nAnswer: -84.27048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.33 + 1.32926. Round j to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 6*j + j + 2*j - 9*j. Let d(g) = -52*g - 2. Calculate d(u(z)).\nAnswer: 104*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1142924 > -1142922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 - -360.5. Let x = c - 92. Sort x, 2\/9, 4\/7 in ascending order.\nAnswer: x, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-77)\/(-315))\/((-3)\/15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8606*p - 59651. Determine g(7).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*y - 4*y. Let g = -0.08 - -0.11. Are g and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5432 = -4*c, -2*c + 2719 = -53*w + 52*w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196985 divided by -5\nAnswer: 39397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*p + 242*p + 3280 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124244.\nAnswer: 2, 89, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1. Let m be h(1). Suppose -i + m - 1 = 0. Let t(a) = 4*a**2 - 1. What is t(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -63. Let i be -3 - (3 + -3 - s\/2). Let f = 0.3 - 0.4. What is the closest to f in 1, i, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 115 - 27 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63397138*b*o**2 - 98081606*o**2 wrt b.\nAnswer: -63397138*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11427744431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -35. Sort 0, 0.1, z, -3\/7 in ascending order.\nAnswer: -3\/7, 0, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/6)\/(6\/(-9)). Let n = -3 - -3.3. What is the third smallest value in r, n, -2\/23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 4 = -2*f, -15 = -5*m + 5*f. Suppose 2*z + 250 = m*i, -379 = -3*i + 3*z - 4*z. What is the remainder when i is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3\/2 + 884*r**2 + 1767*r\/2 = 0.\nAnswer: -1767, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34051281 and 8290984.\nAnswer: 42342265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 200, 401, 602?\n\"Answer: 201*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 2\/13, -2\/9, -3\/4 in ascending order.\nAnswer: -1.5, -3\/4, -2\/9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*p + 1371512, 5*p = 4*a - 258791 - 1569880. Let i = -5442831 - a. What is i rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008956 rounded to 7 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1 (c) -4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q - 33. Let p be g(-17). Let l = -163 + p. Calculate the remainder when l is divided by 52\/6*(1 - -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17975*h + 958*h**2 + 367*h**2 + 20478*h wrt h?\nAnswer: 2650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnllnnll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -37, -40?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j**2 - 3. Let f(o) = -575*o**2 - 85. Let z(c) = -48*c**2 - 7. Let w(i) = 6*f(i) - 70*z(i). Give -20*p(k) + 3*w(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 99438.\nAnswer: 497190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p - 2. Let c = -65 - -15. Let q = 30 + c. Let l = q + 22. Give u(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 5*p + 5. Let k(d) = 8*d + 6*d - d**2 + d**3 - 12*d + 3*d**2 - 1. Let v be k(-2). Calculate f(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*y**2 - 7*y**2 - 14*y + 14*y + 20*y**3 wrt y?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282 - -321. Suppose 766*h - 769*h + m = 0. Let w be 38 + 0 - (2 + -3). What is the highest common factor of w and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -744 + -23?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 17*p**2 + 2*p + 13. Is 13 a factor of u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 20*r - 6. Let d be i(-10). What is the thousands digit of ((1410 - -6) + d)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 - 138*h + 43 + 37 to z*h + b and give z.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7777635539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8038555 + -21213747077\/2639. Let d = f - -2\/203. Let j = -4 + 3.9. What is the nearest to j in -3, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:11 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1497 and -11967\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + v + 2 - 37 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 859416426 to the power of 1\/2, to the nearest integer?\nAnswer: 29316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + 0?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - h - 4*h + (-2*h - 3 + 3 + (2*h - 2 + 2)*(0 - 1 + 0) + 2 - 3*h - 2)*(47 + 13 - 15).\nAnswer: -316*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1599354 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5\/69 (c) 8.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 25*v**2 - 27*v + 2. Give a(6).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 12:34 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 148*l - 14. Let r(q) = -2*q**2 + 148*q - 10. Give -2*d(y) + 3*r(y).\nAnswer: -2*y**2 + 148*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -84a (base 13) to base 4\nAnswer: -112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:00 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 46*t. Let b(n) = 25*n + 6*n**2 + 0*n - 48*n - 3*n**2 + 25*n. What is b(g(z))?\nAnswer: 6348*z**2 + 92*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -286 - -820. Let k = 533.8 - g. Let d = -3 - -2. What is the third biggest value in d, -0.5, k, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - 40 - 12*k**2)*(6*k**2 - 5*k**2 - k - k) to i*k**3 + s*k + x + q*k**4 + y*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.5 times -4?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {x: 11, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -16, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 + 0 + (-1 - 3 + 3)*(-1 - 5 + 4) - 4 + 2 + 0 - 6 + 4 + 0)*((2*h + 4*h - 4*h)*(3 + 1 - 2) + 6*h - 12*h + 14*h)*(0 + 0 + 2) as r*h + i and give r.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3 - 2.9. What is the second smallest value in -6, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 528 - 373. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1794248.\nAnswer: -179424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -16, -23, -28, -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/16))**(-45) assuming q is positive.\nAnswer: q**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2670313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 4*q**2 - 4*q**2)*((-4 + 1 + 1)*(0*q + q - 2*q) + q + q - q).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -673*p - 1190. What is n(-2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/2 + -11\/3. Which is the biggest value? (a) -0.01 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219960857\/396 - 555457. Find the common denominator of 19\/16 and v.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 91*s + 538. Give p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 6.14, -0.3, 19.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c11 (base 13) in base 3?\nAnswer: 2210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -251*c - 1847. Let u be h(-8). What is the highest common factor of u and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 5 (b) -6\/143 (c) 1 (d) 0.5 (e) 221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2737, 11097, 25015, 44479, 69477, 99997?\n\"Answer: -2*t**3 + 2791*t**2 + t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3292, -6452, -9612, -12772, -15932, -19092?\nAnswer: -22252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 2*t**2 + 4*t + 1. Let y(v) be the second derivative of v**4\/12 - v**3\/6 + v**2\/2 + 565*v. What is -r(c) - 2*y(c)?\nAnswer: 2*c**3 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7. Let n(v) be the second derivative of v**4\/24 + v**3\/6 + 46*v**2 - 4*v + 3. Let g(o) be the first derivative of n(o). Determine -6*g(f) - z(f).\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gix when three letters picked without replacement from {a: 2, x: 1, o: 1, g: 1, r: 2, i: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.739554 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 92463, 184939, 277415, 369891, 462367?\n\"Answer: 92476*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/4*(-76)\/57 - -729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -26, 0.3, 1\/2 in descending order.\nAnswer: 1\/2, 0.3, 0, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 35*a - 2. Let o be s(0). Sort -4\/5, -8\/9, o, 0.5.\nAnswer: o, -8\/9, -4\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 8. Let d = q + 4. Let p = d + -1.3. Sort p, -4, 5 in decreasing order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 297064984, 297064986, 297064988, 297064990, 297064992?\n\"Answer: 2*b + 297064982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 150*f**2 + 8*f - 6. Let j(p) = 4*p**2 - p - 1. Let m(x) = b(x) + 5*j(x). Is m(2) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6))\/((-1)\/(-22)). Suppose -o - w + 6 = 0, 5*o - 2*w - l = 5. Calculate the remainder when 9 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(156) - sqrt(156)*-2*1)\/sqrt(192) + -1).\nAnswer: 1 + 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 4, -2\/11, -0.63, -2\/131, -0.2?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43982 - 21583. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 2883 = -21*p. What is the common denominator of -10\/23 and 5 - (p\/(-9) + -5)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13075 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.72585 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19924 is divided by 243.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*6*(-2)\/(-36)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j + 3. Suppose 0 = 3*t - j*d + 11, -2*d = 2*t - 6*d + 14. Let m(b) = b + 0*b**2 + 3*b**2 + 1 + 0 + b**t. Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*d - 169*d = -282*d - 738432. What are the prime factors of d?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2287208 and 159\/57180200.\nAnswer: 57180200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 348 = 4*n, 7*z + 160 = 2*n + 2*z. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/7510 and 5\/9012?\nAnswer: 45060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - 40) + 226 + -196.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56795?\nAnswer: 5, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5658 + -5639. What is the highest common factor of 2926 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -84378044\nAnswer: 1\/42189022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (8 - 6) + -6 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 + 831*b**2 - 412*b - 277. Calculate l(138).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 16) to base 4\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 299 + 311 = 4*v, -3*j + 12 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 - u + 4. Let g be (-16)\/(-5) - 1\/5. Let w = 0 + g. Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 8*y + 5. Let i be g(-8). Suppose 4*f = -i*f - 5913. What is f rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1095 - -8169.\nAnswer: 9264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/493 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23331020?\nAnswer: 2, 5, 313, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/9)\/(j**(-1\/2)*j))**(-2\/69) assuming j is positive.\nAnswer: j**(11\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*w = 3*q, 4*q - 15 = -w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1183, 3628, 7309, 12226, 18379, 25768?\nAnswer: 34393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 81*i - 16. Is c(-41) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 7:41 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167701 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136673211 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from lbbblbbbblbblbbbllb?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 9*b**2 + 29*b + 66. What is j(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 6*f)*(3*f - 5*f - 5*f)*(8*f + 12*f - 22*f + 4).\nAnswer: -70*f**3 + 140*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -759585 + 0.1.\nAnswer: -759584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -6323.\nAnswer: -1\/6323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/266*(-14)\/(-18)*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*f + 2243 + 599 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) - (-222)\/27. Let x(d) = -d**3 + 9*d**2 - 7*d - 6. Let v be x(t). What is the tens digit of v*(-5)\/((-3)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let z(j) be the first derivative of 3 + 1\/2*j**2 + 0*j. Give n(z(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:40 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 635 or 633?\nAnswer: 633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-261)\/(-29))\/3)\/(1\/(17\/(-3)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/12 + 4\/2. Let w = 5.7 - 5.5. What is the second smallest value in p, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 + 8*g**2 - 23*g - 23. Let o(b) = b**3 + 3*b**2 - 8*b - 8. Let p(a) = 6*c(a) - 17*o(a). Determine p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50981474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = -204*q + 3583 - 693 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = -6*o. What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.12 (b) -10 (c) -0.1061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -3) + (-19 - -5) + 7 - 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -106, -161, -216, -271?\n\"Answer: -55*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2086118012 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*x + 695765 = -439*x + 253*x. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -104. Sort v, 97, 2\/13.\nAnswer: 2\/13, v, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 30. Suppose -11*a + 15*a = 124. Let f = a - d. What is the remainder when f is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 8*j**5\/17 - 5870*j**4\/17 + 4764*j**3 - 270514*j**2\/17 - 80996*j\/17 + 276384\/17 = 0.\nAnswer: -1, 1, 6, 8, 2879\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -675.4 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 114 - 4 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 x when three letters picked without replacement from {h: 4, x: 2, z: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -44*x**3 - 12437120*x**2 + 163951396*x - 29398200 = 0.\nAnswer: -282675, 2\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90.9 - -89.9. Sort d, 2\/3, 2.7 in increasing order.\nAnswer: d, 2\/3, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 13*o + 65 = -15*o, -l + 4*o = -53. Suppose -x + v + v = -74, -4*v = 16. What is the highest common factor of l and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-90)\/(-21) + -3 + -1. Which is the nearest to -2? (a) 3\/4 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/7 - -19\/77. Put 0, x, -2, 0.1 in ascending order.\nAnswer: -2, x, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10777 - -16160. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 453 or 451?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(832)))**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 14406605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*y**5 - 13*y**4 + 124*y**2 - y.\nAnswer: -1980*y**2 - 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1632432196 to the nearest integer?\nAnswer: 40403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 81. Let p be (1 - 2) + 4 + 0. Suppose -4 = p*n - n. Put n, -1, q in decreasing order.\nAnswer: q, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 5*d - 36. Let i(z) = -45*z + 9. Let g be i(-4). Calculate the remainder when d is divided by 3\/(-4) - g\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/3 - 9*m**2\/2 + 20*m + 17. Let y be l(7). Solve -o + 25 = -y*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from tpp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 123\/(-902)*(-20)\/(-1) - -2. What is the nearest to 0.1 in q, -4\/7, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 4*n. Give x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 20*x - 7*x. What is the lowest common multiple of 1340 and x?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -0.1026?\nAnswer: 0.2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30418947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 373230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrhrhrprggr. What is prob of picking 1 g and 2 r?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - c)*(-4 - 4*c + 2*c**2 - 6*c + 6).\nAnswer: 6*c**3 - 30*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z = 375*z + 140*z + 244*z - 47255 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -51, -137, -269, -453, -695?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 88 + 86 = -3*t + 9*l, -5*t - 3 = -3*l + 261 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, y: 4, r: 6}. What is prob of sequence ty?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6) + -2)*-2. Suppose g + p*m - 33 = -2*g, -4*g + 44 = m. Let u(t) = t + 1. Calculate the remainder when g is divided by u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x - 8. Suppose -5*t = -20, -3*p + 4*t + 29 = -9. Let b(u) = u**2 + 4*u - 6. Let o be b(-6). Solve 4*d = x*r + p, -o*r + r - 18 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 7. Let i = -330 + 330.149. Let k = 5.149 - i. Which is the closest to 0? (a) k (b) y (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*f - 88 + 88)*(21 - f - 21)*(-5*f + 0*f + 3*f).\nAnswer: -86*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*h + 10*h - 216060. What are the prime factors of h?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/12 - (-6 - (-9)\/9).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13620 and 1433732?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5719341, -37?\nAnswer: 5719341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1\/6, -0.197384 in increasing order.\nAnswer: -0.197384, 1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2072, -4141, -6212, -8279, -10336, -12377?\nAnswer: -14396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-2)\/15). Let v = -99 + 104. Suppose 5*t + 4*u - u + v = 0, 2*u = -4*t - 2. Solve q*s + t*g = -g - 20, g + 4 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtdhhhddh. What is prob of picking 2 h and 1 t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1136365 bigger than -1136364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3496836 at most -3496868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + o**2 - 4*o**2)*(-95 - 499 - 163) + (-3*o + o + o)*(o + 4*o - 3*o).\nAnswer: -759*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, -36, 0.9, 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12770.8227279 - -3.7228319. Let i = d - -12767. Let f = i + 0.1. Round f to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 700 - -164. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*h = -5*h + 20, 0 = -c + 13*h - 116 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 12:39 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3535*n**2 + 280*n - 280. Let c = 33237 + -32957. Let l(a) = 38*a**2 - 3*a + 3. Determine c*l(q) + 3*u(q).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 111101 (base 2) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20644 - 5103 = 237*c + 391*c - 3139 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 95. Let b = v - 48. Suppose 0 = 2*o + 4*n - 18, -o + 5*n = -b - 0. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 1241.\nAnswer: 48\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 1 t when three letters picked without replacement from oftttttfttoff?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5949 - 5948.9999987872. What is a rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 552376 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 530*q**2 + 12007*q + 137. Give z(240).\nAnswer: 1817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1580?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-25)*p)\/(p\/(((p*p*p**(1\/13)*p*p)\/p*p)\/p)))**(-2\/9))**41 assuming p is positive.\nAnswer: p**(-3444\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 13 = -h + 2*i, -h + 5*i + 1 = 0. Let p = h - 3. Let n = 46 - p. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62959060 by -5.\nAnswer: 12591812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000133054 to 7 decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721949514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = w - 0. Let b = 20 - w. Solve 2*f + 3*t - b = f, 2*t = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209*181.\nAnswer: 37829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z**2 - 138986*z + 138986*z.\nAnswer: -78*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7137 + -8392.3. Let l = d - -1319. Round l to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6 times -1632928?\nAnswer: 15676108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666*n**2 - 696*n**2 + 1336*n**2 + 2*n.\nAnswer: -26*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2756 - -2761. Which is the closest to -1\/2? (a) 2\/5 (b) -4 (c) 1.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + 25665)*2*2\/(-4). Is 1\/6 - 9\/54*w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-4)*22890\/5995)\/((84\/(-80))\/(-7))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01516879 rounded to four dps?\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - 4*k - 10, 0 = 2*k + 4. Let t be -1*u\/(-1)*0\/(-2). Solve -4*w + w + 9 = t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.405 - -88.215. What is p rounded to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-20) + -5 + (-5)\/(-2)*2. Let b(k) be the second derivative of -1\/16*k**4 + 0 + 7*k - q*k**3 + 0*k**2. Determine n so that b(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002396862 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 128*b - 4*b**3 + 6*b**3.\nAnswer: b**3 - 128*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(1*-2) + -1. Suppose -z + x = -2*h, -5*h - 1 - 3 = -4*z. Solve -y + 5*y = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -3, 17, 4, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23218.10813 - 23218. Let d = -0.1132 + v. What is d rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25884 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*b - 7 = 0, -d + 4*b = d + 6. What is the greatest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32457452 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/k**0)\/(k*k**(-2))**(-21\/5) assuming k is positive.\nAnswer: k**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)*w**(-8)*w*w\/((((w\/w**4)\/w)\/w)\/w)*w**(6\/11))**(-9))**(-4\/11) assuming w is positive.\nAnswer: w**(480\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n. Let v be d(-3). Let i be (-3)\/v*(-1 - 2). Suppose -i*f = -30 - 48. What is the highest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 4*n**4 - 3*n**4)*(-2 - 90 + 7).\nAnswer: 85*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -26*w - 50 + 190. What is the remainder when (4\/(-12))\/(1\/(-36)) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10\/7, -2.05, -1, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 11 + 64 = 0. Suppose -9 = -8*m + 15. Let c be (-65)\/v - 1\/m. Solve 12 = 3*z + 3*t, -c*z - 4 = -5*z - 3*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15972)\/4173 - -4 - (318\/39 - (-32 - -40)).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5)*11\/22.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18.2023 * -23.3\nAnswer: 424.11359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162 + 89. Let n = 73.57 + b. Round n to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3209796093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -y - 32, 2*o - 6*o = 2*y - 26. Suppose 7*h = 4*h + o. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -218, -487, -1024, -1919, -3262?\nAnswer: -5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**7\/840 - m**6\/360 - m**5\/40 + m**4\/3 - 9*m. Let p(b) be the third derivative of j(b). What is the tens digit of p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -781 - -792. What is the closest to -15 in 1, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388172 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, a: 8, v: 7}. Give prob of picking 1 d and 1 a.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(18\/27). Let n(f) = 2*f - 3. Let a(h) = 3*h**2 - 1. Let k be a(1). Let y be n(k). Is y > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9818, -12572, -15326?\nAnswer: -18080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/504)\/(128\/(-448)))\/2?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:41 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*b - 2*k, b - 2*b - 4 = -3*k. Let z be (-2)\/(-3) + (-2)\/(-6). What is the second smallest value in z, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - (-20)\/(-4))*1. Suppose -2*d - 6766 - 13651 = -3*k, -5*k + b*d + 34030 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -1.1. Let x = h + 0.7. Let r = -3 + 3.5. Which is the smallest value? (a) r (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34056 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4 and 34\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -210301 (base 6) to base 8\nAnswer: -41075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + 0.31. Suppose -3*n = -3*n - 14*n. What is the third smallest value in o, -6\/11, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uun when three letters picked without replacement from iiuiunuiiiniiuiiuiii.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*s = 19, -n + 15 = -4*s - 2. Let o = 1 - n. Suppose 0*u = 4*h + u - 10, -3*u + 6 = o. Solve 0 = m - h*d + 8, m + d = 3*m + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 24*f**2 + 16*f - 146. Calculate k(-26).\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (0 - 2\/(-2)). Suppose r = -4*s + 2*s + 4. Suppose -5*a + s = -8, 0 = -5*k + 5*a + 175. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -19000821*b. Let y(r) = r**2. What is y(v(c))?\nAnswer: 361031198674041*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 674 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 689 + 996. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9069627, 9069647, 9069681, 9069729, 9069791, 9069867, 9069957?\nAnswer: 9070061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:22 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/(-777))\/(12\/21)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10334.\nAnswer: 2, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/21752 and 55\/416007.\nAnswer: 3328056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1514, -2966, -4420, -5870, -7310?\n\"Answer: z**3 - 7*z**2 - 1438*z - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 913 (b) 4 (c) 3.5 (d) -11 (e) 8 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -918.509033 to one dp.\nAnswer: -918.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-81)\/18*1\/3). Let g be ((-14)\/(-5) - (t + 4))*305. What is g rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -l, l = s + 3*s - 1. Let k(m) = 2*m**2 - 7*m**3 - 3*m**3 + 5*m - 4*m - 5*m**3. What is the tens digit of k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11 + 11 - (1 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -220723 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342997169 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - z**3 - 3477*z - 3473*z + 6950*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 2141936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9260 and 280.\nAnswer: 129640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5608 + 226.04.\nAnswer: -5381.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/12))**36 assuming f is positive.\nAnswer: f**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-5448)\/2520 + (49\/(-15) - -3)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, -0.3, -5, -155, 5?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -42. Let b = 16 + -18. Put a, 2, b in descending order.\nAnswer: a, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251268, 251265, 251262, 251259?\nAnswer: 251256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309 - -302.99. Let w = f - -6.01379. What is w rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.031465 and 43.\nAnswer: -1.352995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - w + 6 = 0, w + 8 = 4*p + 4. Solve 0 = -p*l + 3 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(8 + -2))\/((-6)\/(-126)). Let c be 4\/(-14)*-6*2*b. Let j = 64 - c. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 24*w**2 - 54*w - 22. What are the prime factors of k(19)?\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/47, -0.98 in descending order.\nAnswer: 4, -1\/47, -0.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*l + 13 + 1 + (-1 + 3 - 3)*(-4*l + 2*l + 0*l) + 0*l + 4*l - 2*l + 0*l + 2*l + 13*l in the form p + y*l and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g + 84. Suppose -3*y = -u - 5, 619*u - 2*y + 22 = 621*u. Give o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84)\/2*2*5\/(-20). Solve 5*d = -2*a - a - v, -4*d + a - 10 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 89*b**2 - 5*b + 3. Let q be g(1). Let o = q + -85. Solve 0 = -3*t - o*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 + 517*o - 1291*o**3 - 276*o - 242*o - 2 to the form i + k*o**2 + d*o**4 + l*o + h*o**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 7950*x + 15892.\nAnswer: 2*(x + 2)*(x + 3973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 45. Solve 5 = -4*a - n - 2, -x*n - 4 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*81\/15*-30. Suppose -2*x + 86 = -v. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20, 5, 0.03, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 411393431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54900*a**3 + 70177*a**2 wrt a?\nAnswer: 329400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {g: 12, o: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 20. Let x be p(7). Solve -c + 2*d = -0*d + x, 3*c - d - 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.4 in -5, -10, 3, -2\/5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 7*z**2 - 12*z - 1. What is u(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/20046 and -43\/18.\nAnswer: 60138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/13 + 229868642*r**3\/13 - 8806598839110240*r**2\/13 + 112464500213946277209600*r\/13 - 112464491407347667968000\/13 = 0?\nAnswer: 1, 38311440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 6)*(2*x + x + x) - 3*x + 3*x + 2*x - 2*x - 2*x - x)*(-23 + 10*x + 23)*(3*x**3 - 5*x**3 + 4*x**3).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1030*r**3 + 2060*r**3 - 1019*r**3 - 363*r**2 + (-1 + 2*r + 1)*(-5*r**2 + 3*r**2 + 0*r**2) - 2*r**3 - 3*r**3 + 3*r**3.\nAnswer: 5*r**3 - 363*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 106 - 246. Let g(v) be the third derivative of -3*v**4\/8 - 2*v**3\/3 + v**2. Let l(t) = 8*t + 3. Determine y*l(p) - 6*g(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651274 a multiple of 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -23516\/1083 greater than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 (base 13) in base 14?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 11. Let a be m(9). Let n(i) = -2. Let z = 548 - 551. Let l(g) = g - 2. Give a*n(b) + z*l(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.221 + -205.759. Round a to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.3. Let l be (-2 + 8)\/(1*2). Suppose 4*d = 5*h - 22, -l*h - 1 + 16 = -3*d. What is the third smallest value in d, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 - -11132023220?\nAnswer: 11132030331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-28)*w**(-4) assuming w is positive.\nAnswer: w**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c)*(-8 + 32 + 42 + (0 - 3 + 4)*(0 + 0 - 2) - 1 + 1 + 2).\nAnswer: -66*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 4. Suppose -n = -3*n - a + 15, 0 = 5*n + 2*a - b. Suppose 2*q - 4*l = -l - 1, -3*l = n. Which is greater: q or -13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28287 + 28494. Calculate the remainder when 2084 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5 - 44461045*i**4 + 98839070510835*i**3 + 691875005252085*i**2 + 1482590325925080*i + 889554435644880 = 0. What is i?\nAnswer: -3, -1, 4446108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + 27*a**2\/2 + 8*a - 546.\nAnswer: -(a - 26)*(a - 7)*(a + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 4. Suppose -5*v + 16 + 6 = n, 4*n + 12 = 5*v. Determine b(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**4 - 3*v**2 - 3*v - 9. Let g(z) = -15 + 4*z**2 + 4*z + 14 + 7*z**4 + 11. Let j(l) = -3*g(l) - 4*u(l). What is the derivative of j(n) wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g**6\/g*g**(-3\/7)*g\/(g*g**(-2\/9)))**(-6\/19) assuming g is positive.\nAnswer: g**(-1145\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 240 (c) 5 (d) 2\/7 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -4, 1\/6, -2, -120 in descending order.\nAnswer: 1\/6, -3\/7, -2, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g - 286. Calculate z(-29).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**4 - 8*t**3 - 31*t - 8. Let y(g) = -6*g**4 + 3*g**3 + 10*g + 3. Let a(v) = -3*p(v) - 8*y(v). What is the second derivative of a(h) wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.7 in -1, -326, 2\/5, 1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31515 and 805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 1\/5 (c) 233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = r + 237 - 237, 0 = -d - 2*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(-5 + (0 + sqrt(153) + sqrt(17))*-3 + -5))**2.\nAnswer: 216000*sqrt(17) + 2293200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.21 - 21.21. Let a = 25 + z. What is the smallest value in a, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193331 is divided by 64441.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -7*p**5\/30 - 6*p**2 - 4*p + 9. Let m(o) = -2*o + 2*o + 9*o. Give g(m(b)).\nAnswer: -1134*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8*l = 5*l + 23, b + l - 9 = 0. Suppose 0*f - b = f + 3*u, 2*f + 4*u = 0. Suppose -f = x - 3. Let h(c) = c**3 + 4*c**2 - 5*c + 5. What is h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + 0 + 0 + -2 - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmjqqamamomamaaj. What is prob of sequence jjq?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44540*c**5*t + 9*c**4*t + 1434901*c**2*t + 2*t wrt c?\nAnswer: 2672400*c**2*t + 216*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 52 (c) -4 (d) 2\/19 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -55\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8291*i - 65028 + 15282 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70119 divided by -23373?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**32*(m\/(m**(-2\/3)*m))**(16\/9))**(4\/11) assuming m is positive.\nAnswer: m**(-6784\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31250 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159130 and 238695?\nAnswer: 477390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 19 (b) 0.05 (c) 141.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 39, 54, 67?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1021 (b) -1.14 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 115, 2\/15, 777 in increasing order.\nAnswer: -2, 2\/15, 3, 115, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 819 + -635. What is the lowest common multiple of o and 2?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135 - -387. What is the highest common divisor of 42 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(98)*-2)**2.\nAnswer: 28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -5540?\nAnswer: 5534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7748078 + -4.779. What is j rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -50. Let r be (-2)\/(-4) - v\/(-4). Let k = r - -7. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(1 + 0 + 1) + 5 - 2 - 2)*(-3*t + t + 3*t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214340 (base 5) to base 16.\nAnswer: -5a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3091107 nanograms?\nAnswer: 0.0000000000003091107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 at most as big as -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -0.3, 707 in descending order.\nAnswer: 707, -2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2 - 2)*(20*r**3 + 186 - 186).\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/3 + 818932*d**2 - 19653792*d + 117921600.\nAnswer: -4*(d - 614175)*(d - 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((1400\/(-16))\/35)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 712782 less than -1037685?\nAnswer: -1750467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -876a4 - 14?\nAnswer: -876b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d + 3*o - 1259988, 1890008 = -3*d - 2*o. Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 11*d**2 + 2*d + 9. Determine s(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242325223 + -2?\nAnswer: 242325221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 12 - 8 - -6 - (-7 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 4*k - 5*x + 77 - 182, -5*x - 123 = -7*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-2)\/(-6)). Let j = 0.46 - -0.04. What is the biggest value in y, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -322121.6 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738248453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9483 + 99*l**3 - 82*l**3 + 9483.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1259719*w**2 - 645963*w?\nAnswer: 2519438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12779528.\nAnswer: 2, 1597441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -876*l = -872*l - 7132. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 6348 = 2100. What is the highest common factor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 62 = -2*d, -3*d = a + 2*d - 32. Let q be (-2)\/(-8) + a\/8. Let x be 2 + (q - 5 - -4). Solve -4*j + 10 = j, 14 = -x*b + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 674*k**4 + 69*k + 7 wrt k.\nAnswer: 8088*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*w - 2*w - 2, -22 = -v + 5*w. Which is the biggest value? (a) v (b) 4 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 - 2665886*i**4 - 1184494915326*i**3 - 175431988395751850*i**2 - 701709001834978376*i.\nAnswer: -2*i*(i + 4)*(i + 444313)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 9*t + 832. Let a = t - -108. Solve h = -a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 62.54216km?\nAnswer: 62542160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/256*-48*(-6)\/11\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000162124 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 200827652 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-3 - (2 + -14 - -1))) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 334152782 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -302*a**3*p**2 + 40*a**2*p**2 + a**2 - 2*p**2 wrt a?\nAnswer: -1812*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose 3 = c*p - 5. Calculate the smallest common multiple of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 6) to base 2\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214 + -3?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10243 (base 5) in base 7?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 3. Let t(s) = -6*s - 8. Let p(w) = 11*b(w) + 4*t(w). Suppose -a - a - 9 = -j, 4*j = 20. Determine p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (-5 + 0 + sqrt(325) + sqrt(325) - sqrt(325))**2 + -1).\nAnswer: -50*sqrt(13) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-31)\/(-124) - 106875\/(-20) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1282152 and 111.\nAnswer: 47439624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 11*o - 74 - 4*o - 52. Let b be p(-7). Solve v + 6 = -2*m, 4*v + 5*m + 15 + b = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 17 + (-10 - -12) + -16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/802836757 or 0?\nAnswer: -2\/802836757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*v + 0*v**2 - 34*v + 13*v**2 in the form t*v**2 + i*v + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 2*j**2 + 3*j**2 + (-2*j + j - 2*j)*(36*j - 10*j + 9*j) to g*j + w + p*j**2 and give p.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25610?\nAnswer: 2, 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + 1585*v**4 - v**3 - 1664*v**2 - 2 wrt v.\nAnswer: -60*v**2 + 38040*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 - 3*z + 4. Let d be t(3). What is the tens digit of (d - (3 + -6))*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 - -682\/5. Let w = 68\/555 + 2\/185. Which is the closest to -1? (a) p (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 21 - 6. Let j(f) = 20*f + 3. Let z(d) = 40*d + 8. Let i(m) = -5*j(m) + 2*z(m). What is the hundreds digit of i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + o**4 - 5*o + 6*o - 82*o**3 + 3*o**4 + 62*o**3 in the form b + q*o + u*o**2 + l*o**4 + d*o**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -658\/5 + 132. Let a = 1\/15 - -1\/3. Factor 2\/5*s - 2\/5*s**3 + b*s**2 - a.\nAnswer: -2*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 147. Suppose 0 = l*h - 1789 + 667. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 566?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 119 + 149 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) + (0 - (-39)\/6). What is the highest common divisor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q - 98*q - 17*q - 92*q + 87*q.\nAnswer: -187*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 30 = 0. Suppose 71*i = 72*i - 2*a - 6, -4*i + 17 = -a. Calculate the lowest common multiple of u and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-10 + 1) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.14491831 - -0.0224\nAnswer: -0.12251831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*q + 18 = 0, 4*q - 1 = 3. Suppose -x = -9 + y. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -7 - -5) + 1 + -6 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by -20?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 6*g - 5. Let f(h) = 5*h - 19. Let w be f(5). Let l(j) = -2*j**2 + 5*j + 4. What is w*l(r) + 5*c(r)?\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/((-18)\/105)*-1. Suppose x = -24*l + 17*l. Let s(k) = k**3 - k**2 - 2*k + 2. Let q(i) = -2*i**3 + 3*i**2 + 5*i - 5. Give l*s(u) - 2*q(u).\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 + 127. Let 2\/3*z - 2\/3*z**3 + 0*z**x + 1\/3*z**4 - 1\/3 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25013.\nAnswer: 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195456 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 328*v - 1. Let k(i) = 329*i - 1. Calculate -7*k(m) + 6*x(m).\nAnswer: -335*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/2399?\nAnswer: 6\/2399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3492.11319 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*j - 66*j - 196*j + 352*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -74*w**3 + w**2 - 1. Determine u(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -566.202.\nAnswer: 9625.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(20)\/(sqrt(10)*4)))\/(sqrt(225) - (4*sqrt(225) + sqrt(225))*2) + 3)*-4.\nAnswer: -12 + 16*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*f - 2*f - 65, 0 = -f + 3. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446 + 931. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/47 - -4599\/376. Calculate the common denominator of q and -17\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, l: 3}. What is prob of sequence ffl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677562 - 765*m - 62*m - 174*m - 677562 + 67*m.\nAnswer: -934*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -3.52 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1591157 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18868 and 1836.\nAnswer: 8660412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41040879 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - 1) + -3)*2\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l**2 + 602*l + 106. What is c(-31)?\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 797.18\nAnswer: 637.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19962596 to the power of 1\/2, to the nearest integer?\nAnswer: 4468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1697, 1695, 1691, 1685?\n\"Answer: -u**2 + u + 1697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 + 3*t**2 - 3*t - 9. Let z(k) = 26*k**3 - 16*k**2 + 16*k + 44. Suppose 276*y + 2000 = 151*y. Give y*d(s) - 3*z(s).\nAnswer: 2*s**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -55*b + 11*b - 3*b + b**2 + 9 + b**2. Let q be o(23). What is the closest to q in 2\/5, 2\/9, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*s - 11 = 0, -6 = -f + 3*s - 14. Let t be (-13)\/(-91) - f\/7. Suppose -6 - 3 = -3*l. Is l smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 347, 355, 367, 383?\n\"Answer: 2*q**2 + 2*q + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5, -3*t + 5*n + 9 = -34. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhhtyyyscshyhcryyth. Give prob of picking 1 s, 1 y, and 1 c.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 735150799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 divided by 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(968) - sqrt(968)*5*1)\/(sqrt(32)\/(3*sqrt(56)\/sqrt(7))))**2.\nAnswer: -1742400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**3 + 0*u**3 + 5 - 12268*u - 2 - 14*u**4 + 2*u**2 + 12269*u to the form x + j*u**4 + q*u**2 + r*u + o*u**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -991031*q**2 + 795649 wrt q?\nAnswer: -1982062*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18896.85863 rounded to the nearest ten?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b + 5. Let r be q(0). Let h(f) = 2*f - f + 6 + 3*f - r*f. Let p = 19 - 15. Determine h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 13*v - 24*v - 15*v - 21*v + 93*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.38712ug to nanograms.\nAnswer: 48387.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -2*((-6)\/(-6) - 15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24879058 to the power of 1\/2, to the nearest integer?\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142 < 7151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**3 + 57700*k**2\/7 + 5496*k\/7.\nAnswer: -4*k*(k - 687)*(21*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*-6*((sqrt(720) + -2)**2*-6 + -1)*5 + -1.\nAnswer: -1564201 + 103680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 216, 110, -22, -174, -340, -514?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7798128 by 199952.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*w**3 - 3799708*w**2 - 299*w + 729319?\nAnswer: -144*w - 7599416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -120*((-1961)\/3 - (6 + -4 - 9)). What is b rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 9*b - 9. Let a(s) = s**2 - 4*s + 4. Let u(j) = -9*a(j) - 4*x(j). Let p(r) be the first derivative of -4*r**3\/3 + 5. What is p(u(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/14)*r)\/(r**(-1\/4)*r)*r**8*r\/(r*r\/r**(-14\/9)) assuming r is positive.\nAnswer: r**(1417\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (9 - (16 - 15) - 2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k**2 + 7*k - 18. Let q(o) = 9*o**2 + 4*o - 9. Let a(v) = 7*q(v) - 4*w(v). What is the derivative of a(f) wrt f?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6690 or 73594\/11?\nAnswer: 6690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250460503 (base 7) in base 11?\nAnswer: 8973642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 2050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 87. Calculate the common denominator of -85\/44 and (-646)\/988*6\/v.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose -21 = -u*j - 2*y, 0*y = j + 4*y - 17. Put -0.1, j, 0.4 in increasing order.\nAnswer: -0.1, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 29*x**2 + x - 1. Let b be (-2)\/(-4)*-5*-2. Suppose 2*k = 3*z + 1, 3*k = 5*z - 4*z + b. What are the prime factors of p(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -6*c - 44 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**3 + 3*g**2 - 7*g**4 - 5*g**2 + 95 + 5*g**4 - 2*g - 86 in the form s + z*g**2 + i*g**3 + o*g**4 + v*g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:49 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbe when three letters picked without replacement from {q: 3, b: 1, e: 1, p: 1, s: 6, x: 6}.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f + 33. Let k be -2 - 2*(-1 - 0). Let u be a(k). Suppose 0 = 3*q + 4*s - u, s + 3*s - 55 = -5*q. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 34. Let b be (42\/m)\/(16\/24). Let w(l) be the first derivative of -l**3\/3 - l**2\/2 - 5*l - 11. Let q(o) = -o**2 - o - 4. What is b*q(u) - 6*w(u)?\nAnswer: -u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**3 - 116*q - 43 wrt q?\nAnswer: -3*q**2 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80306462267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(-39)*-43*1929. Round g to the nearest 100.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6871024 a multiple of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 18*r - 150, -r - 1 + 1 - 6 = 5*l - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + b**5 - 4*b**5 + (-3*b - 2*b + 4*b)*(1 - 1 + b**4) - 5*b**5 - b**5 + 5*b**5 + 3*b + b**5 - 3*b**3 + 3*b**3.\nAnswer: -3*b**5 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.93 + 1.43. What is the biggest value in 0.1, o, 27.8?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 346*q + 1212. Determine l(175).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 109 = -45 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/24)\/(26128\/(-7360) + 2\/(-10))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111210 and 11770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -164 + 82 - s + 78*s**2 + 81. Is m(1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.50662 nanoseconds to seconds.\nAnswer: 0.00000005850662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 2295.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 52. Let j be u\/(-16)*(-6)\/(-9). Suppose 3*f + r = 256, -48 = f - j*r - 150. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 16206, 3, -0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 220*x + 50*x + 6 - 86. Let p(f) = 10*f - 3. Suppose -q + 84 = 2*u, -76*u - 150 = -2*q - 71*u. Calculate q*p(v) - 3*g(v).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 8 = -4*p, k - 5*p = 161 - 190 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -7a5?\nAnswer: -7a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 3.522?\nAnswer: -4.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutpp. Give prob of picking 1 u and 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q. Let p(m) = -5*m + 7*m + 0*m. Determine p(j(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 5120308296?\nAnswer: 5120308294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/12 and 151\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092461 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - 27472\/(-80). Suppose -2*t + 3*o = -127, t + o = -4*t + b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3. Let b(p) = -p + 9. Let a(r) = -2*b(r) + 7*q(r). Let i be 16\/160*5*(7 + -1). Calculate a(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1192 - 968. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1900)*2 + 1 + sqrt(1900) - sqrt(1900)) + 2*sqrt(1900) + 3 + sqrt(1900))**2 - 2*4*-2*sqrt(1900)).\nAnswer: 2240*sqrt(19) + 190064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggetggetegeetee. Give prob of sequence gee.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 180, 260, 380, 540?\n\"Answer: 20*y**2 + 20*y + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4)*-1*77\/(-7)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - -2) + 1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -26. Let q = -11 + m. Let s = 49 - 52. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.62945 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t - 81. Give g(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1302940*b**4 - 13*b**3 - 73740840*b?\nAnswer: -15635280*b**2 - 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.32886 * 4\nAnswer: 29.31544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + 0 + -2 + (-2 - 34\/17). Solve -g*n + 6*z + 11 = 5*z, -4*n + 17 = 3*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 348, 2\/13, 2\/17, -2, 4\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14306*y - 1008. What are the prime factors of a(3)?\nAnswer: 2, 3, 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**9\/126 + n**6\/180 - 7*n**3\/3 + 11. Let q(m) be the third derivative of a(m). What is the third derivative of q(x) wrt x?\nAnswer: -1440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12784812 to the nearest integer?\nAnswer: 3576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 22*v - 6. What is the lowest common multiple of l(-10) and (-28)\/(-98) + (0 - 696\/(-14))?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2454)\/(-51) + (-8)\/68. Suppose 36 = o*n - 47*n. What is the greatest common factor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14300.1 times 205?\nAnswer: -2931520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 18) + -14 + (-21 - -41)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 9*b - 5. Let t(o) = o**2 + 8*o + 6. Let s(d) = -3*t(d) - 4*u(d). Let a be s(-21). Suppose 3*y = a + 94. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 + 18 = 0. Let l = 12 - 6. Suppose 0 = -0*d + 3*d - l, 126 = q*z + d. Calculate the remainder when z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027506108 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50195270*c + 17934266?\nAnswer: -50195270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 35*l**2 - 98. Let f be s(16). Put -4, f, 1, 0.1 in ascending order.\nAnswer: -4, 0.1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 10 = 13*n. Suppose -n*d + 3*d = -84. Calculate the lowest common multiple of d and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k - 56. Suppose 2*r + 2*p + 20 + 54 = 0, -5*p + 25 = 0. Let h = -37 - r. What is the greatest common divisor of k and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3987 (base 11) in base 10?\nAnswer: -5177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 19. Suppose 1 - o = -y, 3*w = y + 25. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2098*z = 2147*z - 294 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by 171\nAnswer: 70\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*w**2)*(-3 + 1 + 1) - 14*w**2 - 2*w**2 - 8*w**2.\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 2*v - 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.4, 2.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 10. Let u(o) = -o**3 + 4*o**2 + o + 18. Let j be u(w). Does 13 divide (-2920)\/(-24) + j\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257.7 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 88, 210, 392, 640, 960, 1358, 1840?\n\"Answer: p**3 + 21*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, -1, 4 in increasing order.\nAnswer: -164, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 108 - 6. What is the remainder when 57 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81.27 * -0.0529\nAnswer: -4.299183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/3 + 12002608*o\/3 = 0 for o.\nAnswer: 0, 6001304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(27) + sqrt(108) + sqrt(108)*1))\/(sqrt(81)*-5).\nAnswer: 4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/61808 and -81\/77260?\nAnswer: 309040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u**2 + 2*u - 3. What is p(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 9*d. Let h(c) = c. Let b(i) = -3*h(i) - k(i). Find the second derivative of b(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) -2 (b) -0.2 (c) 0.11 (d) -234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t - 4*r, 4*t - 5*r = t - 34. What is the third smallest value in -5, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 - -3073\/16. Let x = 3103\/520 + -6\/65. Find the common denominator of s and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/105 - (-834)\/(-80) and -13\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1022300202022?\nAnswer: -1022300202032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*a + 152*a - 164*a - 796*a - 306*a.\nAnswer: -1534*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12159*f**3*i**4 - 32*f**3*i - 2*f**3 + 2*f**2*i + 10*f wrt i.\nAnswer: -145908*f**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5570\/33 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v)**(-45)\/(v\/(v\/(((v\/(v*v**1*v))\/v)\/v))*v*v\/(v*v**5)*v) assuming v is positive.\nAnswer: v**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -37*y - 1. What is the units digit of q(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -838, 1\/4, -2, 2.\nAnswer: -838, -2, -1\/6, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*g + 39 - 39, 0*g - 18 = 5*d - 3*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bprfaarfj. Give prob of picking 1 j, 1 f, and 1 p.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-102))\/(3\/(-114)*(-12)\/18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(((h\/h**(-5))\/h)\/h))\/((h**(-2\/3)\/h)\/h*h) assuming h is positive.\nAnswer: h**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.61 to one dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhfhhhhah. What is prob of sequence hhfa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 4:20 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46538579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23046678 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5\/11 - 1954*x**4 + 54680140*x**3\/11 + 1518558004*x**2 - 4970922*x - 1518556050 = 0.\nAnswer: -275, -1, 1, 5511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 2*f - 3. Calculate l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9) - 364\/(-18). Suppose -k = 3*w + 3*k + q, -4*w - 14 = -k. Let o = -0.0028 - -5.0028. Which is the closest to w? (a) 3 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -177, 243, 1353, 3495, 7011, 12243, 19533, 29223?\n\"Answer: 57*c**3 + 3*c**2 + 12*c - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010110000 + 11?\nAnswer: -11101010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {o: 3, d: 3, i: 2, p: 1, v: 8, l: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9984 is divided by 1990.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1514441 or -1514365?\nAnswer: -1514365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 12 - 12.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5499 - 5473. Is s < 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 16*z - 5. Let h(s) = -88*s + 28. Let d(i) = 5*i**2 - 48*i - 48. Let b be d(-1). Calculate b*h(m) + 28*c(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14245000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.447 - 1254094\nAnswer: -1254095.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m - 3*n - 8, -4*m + 4*n + 32 = 0. Solve 5*w = -5*g - 25, m*g - 3*w = -0*g - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 8*x + 9 - 104*x**2 + 9*x + x**4 + 103*x**2 + x**3 to the form y*x**4 + j + m*x**2 + n*x + i*x**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6*(6 - 2). Let z(g) = 5*g**2 - 3*g. Let p(n) = -6*n**2 + 4*n. Let b(a) = 4*p(a) + 5*z(a). Calculate b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6980497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10331*t + 1906. What is the tens digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - 2*sqrt(66)*5 - ((-2*sqrt(66)*2 - sqrt(66)) + sqrt(66)))\/(1*sqrt(216) + 1*sqrt(36)\/sqrt(6)).\nAnswer: -5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 8, 20 = -3*z + 5*y - 0. Let d = z - -9. Let n be 0 + (-127)\/(-6) - d\/(-6). Solve -n = 5*v - s, -s = -v + 1 - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*15*(-36)\/15)\/((-56)\/28)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*((-2*(sqrt(121) - (sqrt(121) - 1*sqrt(121))) - sqrt(121)) + sqrt(121) - sqrt(121)))\/(-5*2*sqrt(1100)) + -3).\nAnswer: -9 + 27*sqrt(11)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 - (19 + (-10 - (-13 + -4 - -7)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7636, 7543, 7388, 7171, 6892, 6551?\nAnswer: 6148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2872 + -8218. Calculate the common denominator of 11\/(j\/2548) + 10\/2 and -55\/27.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**7\/1680 - d**6\/360 - 13*d**5\/60 - d**2 + 5*d. Let y(w) be the third derivative of r(w). Give y(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10730, -10744, -10758?\nAnswer: -10772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 26*u - 24*u + 730 = 0, -4*u + 412 = 3*n. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16075229 - 86469793. Let q = r + 37343055. Let l = q + 9751509. What is l rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 268.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:44 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229 + 450. Let l = j + -181. Calculate the least common multiple of 72 and l.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5 - 2*g**4\/3 - 3*g**2 + 44*g. Let j(c) = 7*c**3 - 3*c**2 - 2. Give 3*f(m) - 8*j(m).\nAnswer: 4*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616270 is divided by 28012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*x - 43, -30 - 90 = -5*q + 5*x. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8941*d**3*p*x + 33*d**3*q*x + 6194*d**2*p*q*x - 2*d**2*p*q + d**2*p*x + d**2 - d*p*q*x - d*p + 8*d*q*x - x wrt d?\nAnswer: 53646*p*x + 198*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 3*g**2. Let i(m) = 0 - 4 + 4 - m**3 - 2*m**2. Let p be (-4)\/2 - -1 - 2. What is p*i(b) + 2*f(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -107*p. Let w(k) = k - 1. Give -m(b) + 5*w(b).\nAnswer: 112*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from xxzxzzxx?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 28*a + 198. Let p be o(14). Let z be 4\/2 - (-1)\/1. Solve -5*b = -z*b - p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/9 (b) 0.2 (c) -5\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u**2 - 15*u + 2. Is w(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -61\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 3289 + 3289.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -152098.8903 to the nearest ten.\nAnswer: -152100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Let n be (-3)\/12 - (-6)\/(-8). Let x be j(n). Suppose -2*q + 14 - x = 0. Solve 0 = 2*t + t - g - 7, 0 = -4*t + 2*g + q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3ac + -3?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -43)\/86*60.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3456)*2)\/(1*sqrt(1452) + sqrt(588)*2)*3*-2.\nAnswer: -288*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: (-105)\/70*(-8)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -9*i**7\/7 + 7*i**3\/3 + 4. Find the third derivative of r(m) wrt m.\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -100*c**3 + 3*c**2 - 4*c. What is j(1)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 49 + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r**2 + 6*r. Suppose -4*a + 34 = 2*d, 6*a + 3*d = 10*a - 9. Let b(s) = -209*s**2 + 77*s. Determine a*b(m) - 77*q(m).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 + (-44)\/12. Let j(x) = x**3 - 3*x**2 + 3*x - 4. Let m be j(2). Put q, 6, m, -1 in increasing order.\nAnswer: q, m, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)*10\/4. Suppose 2*p = 3*u - 2, -2*u + 12 = f*p - 2. What is the second derivative of -3*z + 0*z + u*z**3 - z**3 wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as -9012063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + -2*sqrt(2268))**2 + ((sqrt(448) - -1*sqrt(448)) + sqrt(448) - sqrt(28))**2.\nAnswer: 5656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410715?\nAnswer: 3, 5, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11301, -22583, -33779, -44823, -55649?\nAnswer: -66191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(-11)\/(-44)*((-1)\/(-2))\/((-4029)\/34)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -14. Let b(z) = 6*z**3 + 2*z - 2. Let n be b(i). Suppose -u - 40 = -n*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 129*d**2 - 3*d + 105*d**2 - 132*d**2. Let i(j) = 6*j. Determine i(g(r)).\nAnswer: 612*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 17*g - 16. Let v(o) = -o + 1. Let p(m) = i(m) + 5*v(m). Let u be p(4). Which is the biggest value? (a) 1 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190.24406241 and -0.002.\nAnswer: 190.24206241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 70 = -130. Let c(n) = 23*n - 4. Let h be c(3). Let z = h - s. Solve -a = 4*y - z, 4*a - 25 = -y - 0*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 4. Let r be t(5). Let n be (27\/(486\/(-12)))\/((-4)\/(-102)). Are n and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2430 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-2)\/(-6))\/(9\/((-648)\/24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 44 = -2*f. Let z = f + -2. Suppose x - z = -4*x. Is -2 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 3*w + 0*w - 1 - 2. Let l be (24\/16)\/((-3)\/(-10)). Let a(z) = -z + 4. Let t(b) = l*r(b) + 4*a(b). Calculate t(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (161\/14)\/((-1)\/(-18)). Suppose 7 = -8*h + p. Calculate the remainder when 63 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12335438 is divided by 27845.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 - 0.15. Let x = u + 0.5. Which is the closest to 0.1? (a) 4\/5 (b) x (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:26 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1638\nAnswer: 163.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 22*y - 21*y = 13, h - 3 = 3*y. Suppose 6*q - q - 5 = 0. Let k be (0 + h\/12)\/(q*2). What is the nearest to -0.4 in 0.2, -4\/11, k?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33642.76um to millimeters.\nAnswer: 33.64276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/210)\/(9\/((-162)\/9)))\/(10\/(-900)).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**2*v - 299*c**2 - 2*c*v - 24*c + 410911*v wrt c?\nAnswer: -10*c*v - 598*c - 2*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20021032022 (base 4) to base 5\nAnswer: 1021304142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/306 and -28\/12087.\nAnswer: 24174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*r + 6, 10*r - 7*r = -5*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173208 - -173207.99000024. Let b = j + 0.01. Round b to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-445*702\/(-83304))\/(10\/304)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x - 2 + 4*x)*(-2 - 1 + 0)*(-1 - 3 + 1 + (2 + 1 - 1)*(-2 - 1 + 0) - 2 + 26 + 8).\nAnswer: -138*x + 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1622221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11291?\nAnswer: 7, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 24 + 4 = 0. Suppose -82 = -9*l + 206. Let i = -31 + l. Sort -3, c, i in decreasing order.\nAnswer: i, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*-2*16*15\/(-480)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-2 + 15 - 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30740 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2. Let f(y) = 643*y**2. Give v(f(x)).\nAnswer: 1240347*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12533 - 12531. Let k(g) be the second derivative of g**3 + 0 - 1\/6*g**4 + 25*g + 0*g**m. Find the second derivative of k(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/20)\/((-1)\/(-49656)) + (-2)\/(-5).\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -3*u**2\/2 + 39*u - 3742. Calculate k(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*q - 16. Let h(o) = o + 13. Let s be h(q). Is s < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74\/9 + -343\/45. Let v(r) be the first derivative of -4 + 0*r**3 + 0*r**4 + r**2 + 0*r + s*r**5. Find the second derivative of v(k) wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1141 (base 6) in base 15?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 33) + -73 + 156.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*v + 9. Let h be (-5)\/((3 - v) + 4*1). What is the second smallest value in h, -1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468471 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/8 - 10090*h**3 + 203656556*h**2 - 1628768160*h + 3257213472.\nAnswer: (h - 40356)**2*(h - 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12636 is divided by 254?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27220 + -12977. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10)**(-3)*(w*w**(-2\/21))**(-33) assuming w is positive.\nAnswer: w**(-419\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(0 + (-2)\/8). Suppose 0 = 2*z - 0*z - 12. Let j be (2\/z)\/((-12)\/9). What is the biggest value in c, -4, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6476560376?\nAnswer: 2, 11, 13, 2221, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.64 - 3.74. Let q = -0.1 - -1.1. Which is the nearest to q? (a) -2\/5 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -3 (c) -1060602\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116555*p = 116752*p - 12214 for p.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o + 387. Let j(w) = 11*w + 380. Give 5*f(h) - 6*j(h).\nAnswer: -h - 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*q = -3, 5*b = 3*b + 3*q - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**5 + 17390*v**4 - 737765*v**3 + 5052850*v**2 + 5808000*v = 0.\nAnswer: -3520, -1, 0, 10, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254.271 - -2.571. Let t = y - -252. Let x = 9 - 4. What is the nearest to t in 0.4, x, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 2. Let w(x) = -x**2 - 3*x - 5. Let n(c) = -15*q(c) + 6*w(c). Find the second derivative of n(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38 + -5)\/((-3)\/6). Suppose r - d + 82 = 0, -3*d + c = -r - d. Let q = r - -409. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 449350061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -50*w - 88. Let l(m) = -61*m**3 - m**2 - 22*m - 50. List the prime factors of l(w).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t - 20 = 0. Suppose -2*c + 4 = -5*r + 19, 4*r - t*c - 12 = 0. What is the remainder when 5 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 83 - 2*h**3 - 82.\nAnswer: -2*h**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -16*a. Let d(q) = -158*q + 312*q - 155*q. What is d(n(c))?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:55 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 281*o - 288*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55524371 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -278660.98 - -278661. Let h = -5.6 + 6. Sort h, -1\/2, y.\nAnswer: -1\/2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:15 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*g - 5707 + 1262 = 631 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 22, -1\/6, 0.5, 3\/2, 31?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 384922 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: Does 15 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-245)\/98*(-384)\/(-30)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 6, 25, 62, 123, 214, 341, 510?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/17 + 1892*l**2\/17 - 380770*l\/17 - 32643200\/17 = 0.\nAnswer: -64, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1072 - -0.0345393908\nAnswer: -1071.9654606092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*p**3 - 7787782*p**2 - 29021507*p - 5?\nAnswer: 156*p - 15575564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*z + 18, 10*k = 9*k + 4*z. Solve -4*c + 1 = -k*u - 15, 3*u = -2*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-2352)\/(-1) - (7 + 15\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 28. Suppose 0 = -m - 8*m + j. Solve -2 = 3*a + m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 520*i - 524*i - 65 = 0, 0 = 5*m - 5*m + 4*i + 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:02 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from beubebuueuebbbbeuuu?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) - (sqrt(1344) + (3*sqrt(1344) - sqrt(1344)) - sqrt(1344) - sqrt(1344)))\/(sqrt(3) - sqrt(432)*-1 - sqrt(3) - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4645447 by 6.\nAnswer: -4645447\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 5*q**2 + 3*q + 6. Suppose 2*g - a - 3*a + 8 = 0, 16 = 2*g + 4*a. Suppose -g*z = z + 12. What is s(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 63 = -53. Solve -f = -4*m + 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/36)\/((-41)\/(-2091))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - 17*y. Let m = 20 + -18. Let q(w) = -175*w**2 + 375*w. Let v(h) = m*q(h) + 45*l(h). Find the second derivative of v(p) wrt p.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*j**3 - 195*j?\nAnswer: -1542*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-8)\/(-12) - -2. Solve x + t = -4*t - 29, -2*t - 10 = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*w - 198*w = 152*w + 336 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, f: 5, r: 2, a: 5}. What is prob of picking 1 f, 2 a, and 1 c?\nAnswer: 25\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11) - -1*(sqrt(11) + 0))*-1)**2.\nAnswer: -8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/13)*d)**38*d\/d**(32\/5)*d*d**2*d*d assuming d is positive.\nAnswer: d**(924\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) - (-3 - 769). Suppose 5*z + 149 = o. Suppose -5*v - 19 + z = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.1738\nAnswer: -0.6952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -485*w - 1079. Give a(-1).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 12, -2\/185 in decreasing order.\nAnswer: 12, -2\/185, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 120246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2385, -2392, -2347, -2232, -2029, -1720, -1287?\n\"Answer: 3*r**3 + 8*r**2 - 52*r - 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 23*t**2 - 33*t - 140. What is c(-25)?\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -3443221?\nAnswer: 3443212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:05 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q + 3122. Let g(p) = -7*p + 1551. Calculate 6*f(y) - 11*g(y).\nAnswer: -y + 1671","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57580*c**3 - 57606*c**3 + 7453*c**2 + 7456*c**2 - 14909*c**2.\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 8765*w**2 - 52544*w + 54. Calculate g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*s - 52 = 0, -2*x + 11 = 5*s - 15. Suppose v - 6050 = 9*m - x*m, -3034 = -2*m + 4*v. List the prime factors of m.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/194212 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32700 and 15731316.\nAnswer: 393282900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 20 = -2*i, 2*s - 5*i + 16 + 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 20*v**2 - 1583*v - 32788. Calculate z(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 151 = -18*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8288 - 4936. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1070.3875 != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4172)\/1470 + 48\/18 + 4\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let a(o) = 8*o + 0*o + o + 3*o. Determine v(a(i)).\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 89 (base 16) to base 12\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12238.\nAnswer: 2, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/51*167\/(4008\/(-204)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j + 0*j)*(2*j**2 + 8*j**2 + 24*j**2).\nAnswer: 34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 670167\/361 or 1855?\nAnswer: 1855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/21)\/((-100)\/(-35) + -3). Let q(g) = -3*g + 5. Determine q(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7394, 59248, 199992, 474068, 925918?\n\"Answer: 7407*n**3 + 3*n**2 - 4*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251 - 246. Differentiate 26 - 11 - z*k + 22 + 4*k**2 + 10 wrt k.\nAnswer: 8*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331404207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*m + 0 + 3\/8*m**2.\nAnswer: m*(3*m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 8*t + 3. Let a be x(6). Let k = -460 + 460. Sort -3, k, a in increasing order.\nAnswer: a, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.039432*0.5\nAnswer: 0.019716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -19*q + 23*q - 45864, 3*o + 45863 = 4*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32690 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4*x + 8, 2*x + 4 = -17*d + 14*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-2) + 4)*24. Suppose -6 = 2*b + i. Let w be b\/(-21) - 1\/7. Is -5 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 2*z**4\/3 - z**3\/2 + 3*z**2 + 9*z. Suppose g + 3*g + c - 22 = 0, 4*g - 12 = 4*c. Is u(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 55*a**2 - 40*a - 2165. Let r be x(-55). Solve 82*j = 89*j - r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 538956906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(2\/3)*c**5*(c*c*c**7)\/c*c**(2\/7))**(-10\/11) assuming c is positive.\nAnswer: c**(-3560\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2405 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + j - 3*j + 49.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15614542?\nAnswer: 2, 19, 53, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16304073343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-37))**(-17)\/((i\/((i*i*(i*i**(-2\/3)*i)\/i)\/i))\/i**45) assuming i is positive.\nAnswer: i**(1921\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 34128 + 2*y - 4*y - 9469.\nAnswer: 2*y - 43597","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165154731 is divided by 5983?\nAnswer: 5982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(48)\/sqrt(200)) + 0)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/2*328\/(-246)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 21*w**2 - 18*w - 38. What is v(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + (-3 - (7 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131386 - 0.599.\nAnswer: 131385.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 39*b + 239. Calculate t(-41).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 217?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.2. Let p = 0 + n. Let i(s) = s**2 + 8*s + 11. Let d be i(-5). Which is the nearest to 3? (a) d (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q + 95 + 0*q**2 + 3*q**3 + 57\/2*q**4. Find the third derivative of b(m) wrt m.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19)*-1 + sqrt(19) - 2*sqrt(19)*-2.\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, t: 2, k: 5}. Give prob of picking 1 t, 1 u, and 2 k.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 452862*k = 0. What is k?\nAnswer: 0, 226431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a7 + 293?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 398 = 0. Suppose 0 = -2*f - 2*f - 2*a + 6, -f = a - 1. Suppose 0 = 4*d + d - w - r, f*d = w + 82. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5458 - (-4 + 2 + 2). Suppose 0 = -10*c + 24 - 4. Suppose -2058 = c*o - p. Round o to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9200*r + 193765. Determine v(-21).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.1 + 3.9. Let t = h + -19.9. Round t to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/90 + 2\/9. Let u be (6 - 7)\/((-2)\/(-4)). Which is the second smallest value? (a) 0.4 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4497.9, 5, -0.4, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p + 87. Let t = 7619 + -7625. Determine o(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231966?\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*s = 180, 4*c + 3*s + 90 = -90. Let d be (c\/20)\/(9\/(-24)). What is the third derivative of -d*q**5 + 2*q**5 - 10*q**2 + 7*q**2 wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Let l = 3 + f. Let v = l + 3. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c47 - -17?\nAnswer: 4c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + u**2 + u - 1. Let y be f(1). Let i be (-16 + 2)*(y + -1). Let r = i - 24. Calculate the greatest common factor of 44 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**4 + 29*d**2 - 564*d wrt d?\nAnswer: -120*d**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -264, -666, -1020, -1326, -1584?\n\"Answer: 24*j**2 - 474*j + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0 + 0 + (-2*f - 3 + 3)*(0 + 2 + 1))*(-f + 1 - 1).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (0 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4131298 and 4082.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 214\/8 + 1\/4. Let n(r) = r**3 - 9*r**2 - 23*r - 14. Let q be n(12). Suppose -8*p - 46 = -q. Solve -3*a + 5*d - z = -4*a, 4*d = 4*a + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 + 11*s**2 + 3*s - 10. What is t(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:27 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s*s\/(((s\/(s*s**(-4)))\/s)\/s)))**38\/((s\/s**(1\/3))**(-1\/41)*(s**(2\/11)\/s)\/s*s*(s*s*s*((s\/(s*s**1))\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(310966\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.3. Let n(o) = o**2 + 8*o - 9. Let s be n(-9). What is the second biggest value in s, -4, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -264*g**3 - 196*g**2 + 308*g + 240 = 0.\nAnswer: -1, -5\/6, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -130, 2, -1, 126, 15, -3 in descending order.\nAnswer: 126, 15, 3, 2, -1, -3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -10 in descending order.\nAnswer: 0, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 d when three letters picked without replacement from {h: 4, s: 1, d: 2, l: 6}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-7059))\/((-6)\/63*(11 + -18))\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1543*t - 97. Let d(m) = -1029*m - 61. Determine 8*d(c) - 5*v(c).\nAnswer: -517*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-30) - (-32)\/(-5). Which is bigger: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5589*x**2 + 62*x + 111. Is c(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51159.88ng to tonnes.\nAnswer: 0.00000000005115988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 311 = -5*u, -u + 7*q - 2*q = -67. Suppose -26 = -4*b + u. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 4, x: 6, j: 1, i: 2, d: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x + 9. Determine k(-14).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808108 is divided by 205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-14)\/d*d)**(7\/3)\/(d**(2\/13)*d*d**(-2)))**(8\/15) assuming d is positive.\nAnswer: d**(-9928\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 19*q**2 - 32*q + 14. Let l be o(-11). Solve 0 = -l*k + k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52764.00027901 + -52764. Round z to 6 dps.\nAnswer: 0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.22, 68, -2\/4955?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {f: 4, x: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qee when three letters picked without replacement from eyeeeeyqee?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 59*z + 1. Let c(w) = 182*w**2 + 289*w. Calculate c(l(x)).\nAnswer: 633542*x**2 + 38527*x + 471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/3 + 651518*w**2 - 10424160*w + 125089408\/3 = 0 for w.\nAnswer: 8, 977261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, n: 9}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2061, 2027, 1993, 1959, 1925?\n\"Answer: -34*f + 2095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6602 and -5.\nAnswer: 33010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*o - 5 - o - 1 + 1 + (0 - 4 + 2)*(0*o - 2*o + 4*o))*(5*o**4 + 2 - 2).\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*s**5\/5 - 533403*s**4\/5 + 650992938*s**3\/5 - 42645096144*s**2 + 39642240000*s - 5798707200 = 0.\nAnswer: 2\/11, 3\/4, 520, 1760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (90 + -84)*(1 - (1 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:29 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*z + 261 = -125*z - 130*z - 97*z for z.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134536 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14114 (base 5) to base 6\nAnswer: -5211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -6.3474?\nAnswer: -12.6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1253*b = -1277*b - 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*1 - 0\/(-7). Is (a\/15)\/((-1)\/204*-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x - 6. Let t be z(6). Suppose -g + t = -4*g. Let d be ((-6)\/4)\/(6\/g). Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2. Let w(d) = 6*d**2 - d + 1. What is -2*n(g) - w(g)?\nAnswer: -4*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2))\/(q**(-21)\/q)*q*q**1*q*(q*q*q**(-11))\/q*q assuming q is positive.\nAnswer: q**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*k - 573. Let c = 1819\/7 + k. What is the common denominator of c and 2 - (114\/(-9) + 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 27600*z + 3532810. Give m(-128).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 1\/80*b**5 + 0 + 7\/8*b**3 - 1\/4*b**4 + 0*b - 52*b**2. Determine x so that g(x) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506936.\nAnswer: 2, 63367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -194*h**4\/3 - 1202*h**3\/3 + 44198*h**2\/3 + 54098*h\/3 + 2964 = 0?\nAnswer: -18, -1, -19\/97, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.048 - -0.048. Which is the nearest to -0.1? (a) 3\/5 (b) q (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + 5*j**2 - 3*j**2)*(4*j + 2*j - 5*j) + (-18*j**2 + 0*j**2 + 2*j**2)*(-1 + 1 + j) to u*j + c*j**3 + m*j**2 + g and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151018 by -75509.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 5*o**2 + 6*o + 2*o**2 + 0*o**2 - 3*o**2 + (-3 + 3 - o**2)*(3 + 1 - 6) + 0*o**2 + 0*o**2 + 2*o**2)*(-48 - 10*o + 48)*(-2*o + 2*o - 6*o).\nAnswer: 480*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {x: 3, c: 1, k: 1, z: 5, m: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 224 = 146. Put s, -2, 3, -4 in decreasing order.\nAnswer: s, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2) + 1)*1\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 4 - 5\/4*m**4 + 3\/2*m**2 - 1\/3*m**3 + m. Is c(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13257317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.32 + 0.5. Let v = 0.02 + d. What is the nearest to -1 in -0.01, v, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/60394990 and 16\/1412355.\nAnswer: 1268294790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - ((1 - 4) + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 4 + -2 - -7. Suppose -3*i + g = 3. What is the remainder when 1 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z + 6*z - 8*z**2 - 3 + 0 - 2*z. Let a(f) = 9*f**2 + 3*f + 3. Let w(n) = 5*a(n) + 6*d(n). Calculate w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(3*sqrt(64)) + 3*(0 + sqrt(19))*1)**2.\nAnswer: 26011\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13747.\nAnswer: 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -10. Suppose 5*v = 2*v + u. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x - 1\/72*x**4 + x**2 + 0 - 1\/180*x**5 - 1\/1080*x**6 + 1\/6*x**3. Let l(r) be the first derivative of n(r). Factor l(d).\nAnswer: -(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 32 = 776*u - 781*u, -3*t - 3*u + 6 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 34) + (35 - 20 - -62).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 82\/2119 and -234 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 8. Let z be d(6). Let r(b) = b - 4. Let q(n) = -2*n + 5. Let i(t) = -40*t - 397. Let h be i(-10). Determine h*q(j) + z*r(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 12160*z + 24304.\nAnswer: 4*(z + 2)*(z + 3038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r + s = 39, -33 = 3*r - 3*s. Let z be 2\/(-7) + (-30)\/r. Let u be z*1 - 0\/(-3). Solve -q + u*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288 or 5\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/7)\/j)\/j**(22\/7) assuming j is positive.\nAnswer: j**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.467427 centuries to years.\nAnswer: 46.7427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*w**4 - 14*w**4 - 19*w**4 + 0*w**4 + w**4 - 3*w**4 + (-3*w + 4*w - 2*w)*(3*w**2 - 3*w**2 - w**3) to k + c*w**4 + m*w**3 + h*w + n*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 5) in base 4?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 19. Suppose -256 - 164 = -h. Let a = h - 189. What is the highest common factor of a and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 10\/65 + (-8920)\/13. Let r = -458 - v. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5 + 2*sqrt(1573))*-6)**2.\nAnswer: 7920*sqrt(13) + 227409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1596\/308 - (2 - -3). Sort x, 1, -362 in increasing order.\nAnswer: -362, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9777947834723\/24310 + -402219162. Let u = g + -2\/715. Is u != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -202*d**2 - 3678*d.\nAnswer: -2*d*(101*d + 1839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 - 41*o**2 - 116*o + 71. Give h(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*g + 19543 = -61 - 38993 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 13*r**2 + 19*r + 14. Suppose -5*n + 91 = 4*g, -3*n + 2*g + 32 = -5. Let t be z(n). Let l = t - -241. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89\/30 + -14\/5. Let y = -79 + 79.1. Sort y, -0.8, a, -1\/6.\nAnswer: -0.8, -1\/6, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -20, -2, 2, 71, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 279 - 33?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j**4 + 16*j**4 + 3 - 4 + (-1 + 3 + 0)*(-3*j**4 + 2*j**4 + 3*j**4) to the form a*j**3 + n*j + d*j**4 + p*j**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-272)\/51)*30\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 477418202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**3*n**3*p - 3*i**3*z + 7*i**2*n*z + i*p - 3*n**5*p*z + 2*n**2*p*z - p wrt n?\nAnswer: -60*i**3*p - 180*n**2*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-7 + 3)\/(-4). Let j(q) be the first derivative of q**4\/4 + 5*q**3\/3 + 3*q**2\/2 + q - 3. Let n be j(-4). Sort n, i, -5 in descending order.\nAnswer: n, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 + 8*p**2 + 15*p + 16. Let b(f) = 9*f**3 + 9*f**2 + 16*f + 17. Let m(y) = -4*b(y) + 5*h(y). Give m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 228 + 217 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 34 = -5*o - 31, 126 = 3*f + 2*o. Suppose x = m + 2 - 1, x = 4*m + 4. What is the common denominator of (-52)\/f + 0 - m and 43\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s = 7*s + 675. Calculate the remainder when 1\/(-1) - -58 - 0 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 20, 26, 32?\n\"Answer: 6*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 2*y**2 + 49 + 5*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -7940\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/24*2)\/(9\/30). Let i = 0.038 - 0.438. What is the nearest to 0 in i, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8398*v + 9210*v + 3975*v - 34484*v)*(-v + 5*v - 2*v) as m*v**2 + p*v + z and give m.\nAnswer: -59394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 4*s + 2. Let z be l(-4). Suppose 4*o - 3*r = z, 2*o - 4*r = -2*o. Suppose o*m - q + 3 = 46, 3*m + 2*q = 54. Solve -6*j + 2*j - m = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1598 - 0.17168. Round t to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftqfbqffqbfqqk. Give prob of sequence ft.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p, -k - 2*p - 6 = 2*p. Let f = k - -24. Is 12 a factor of f\/((-52)\/16 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 142, 166, 200, 244, 298?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k*m**2 + 24284*k*m - 18*k - m**4 + 86498 wrt m.\nAnswer: -8*k*m + 24284*k - 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 11 - 221 = 2*c, 5*c - 4*a + 141 = -10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 2*n + 5*n - 2*n - 38 to q*n + l and give l.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m**2 - 2*m)*(5*m - m - 2*m) - 2*m + 2*m - m**3 + (-5*m + m - 3*m)*(0*m**2 + 0*m**2 + m**2) - 1 + 1 + 2*m**3 + 4516*m - 4516*m + 800*m**3.\nAnswer: 798*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5185 - 5185 - 24741*j as m*j + k and give m.\nAnswer: -24741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o**3 + 177 - 9*o**4 + 4*o**3 - 8*o**3 - 189 as m*o**4 + z + d*o + n*o**3 + l*o**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679*z + 668*z = -22. Let -57*f**z + 168*f**3 - 48*f**2 - 173*f**3 - 500 - 600*f = 0. Calculate f.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0 + 2*t**2 + 8*t - 8\/9*t**3 + 1\/9*t**4 - 1\/180*t**5. Let z(f) be the first derivative of h(f). Let z(g) = 0. Calculate g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.740879 to 2 decimal places.\nAnswer: 20.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -83, -76, -49, 4, 89, 212?\n\"Answer: c**3 + c**2 - 17*c - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24191621 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*(2 + sqrt(162) - sqrt(162)) + sqrt(162) - (0 + sqrt(162) + -5 + sqrt(162))) + 2)*2)**2*-3 + 0.\nAnswer: -21828 + 12312*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93783083 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -904*l**4 - 2515*l**3 + 5031*l**3 - 2516*l**3 + 329 with respect to l.\nAnswer: -3616*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvvlkvvll. What is prob of sequence lvv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 53 = m, 5*j - 3*m + 16 = -117. Suppose 0*c - 152 = -4*c. Let n = c + j. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620445 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -80*v + 449. Solve -3*p - 20 = -2*y, v = 4*p + 3*y + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 3*i**2 - i + 7. Calculate o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3940776380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -29. Let q = -14 - -6. What is the units digit of q\/j*(-63)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1484 and 49\/636.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1811*k - 1811*k - 20*k**2 + 11*k**2. Let t(z) = -16*z**2 - 1. Determine x(t(f)).\nAnswer: -2304*f**4 - 288*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -d. Find the third derivative of -5*p**2 + 3*p**2 + 6*p**4 - 5*p**4 + 4*p**d wrt p.\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -10*h + 46 + 26. Solve 0 = -3*o + 3, -3*o - 11 = -h*j - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -116 - 1?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/60 - i**4\/24 + i**3\/6 - 14*i**2 + 4. What is h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7281 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 2*g**3 + 11*g**3.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 162.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87550, -175096, -262636, -350170, -437698, -525220?\nAnswer: -612736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/16 + (-1 - (-14)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/600 and 73\/14.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrccrrx. What is prob of picking 2 c and 1 r?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(91) - (1*sqrt(91)*3 + sqrt(91)))*-2)\/((-2*sqrt(175) - (sqrt(7) + sqrt(112)*5 + sqrt(7)))*-5).\nAnswer: -3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1229\/2134 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13706673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597535 (base 14) to base 6.\nAnswer: 145251551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 7*t**6\/120 + 3*t**5\/5 - t**4\/24 - 245*t**3 - 6*t**2 - 195. What is the second derivative of j(l) wrt l?\nAnswer: 42*l + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 311? (a) 3 (b) 5 (c) -1\/6 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = 2*y, -5*y + 4*j + j = -15. Suppose 2*q + 0*q + 3*r = 160, 0 = -5*q + y*r + 423. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**7\/42 - s**3\/2 + 5*s**2. Differentiate z(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -83, 2 in decreasing order.\nAnswer: 5, 2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 130 + 2 + (12 - 9). Let f = d + -68. Does 48 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to -35343\/8780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/11)*m*m\/m**(-10)*m\/(m*m\/(m**(-12)\/m*m)*m*m)*m**(-10) assuming m is positive.\nAnswer: m**(-142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:00 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**4\/7 + 120*w**3\/7 + 1131*w**2\/7 + 1014*w\/7 = 0.\nAnswer: -26, -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332*l + 1246*l - 774 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321641117 is divided by 6185406.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*21.358\nAnswer: -6.4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/17, -9, -3\/7 in ascending order.\nAnswer: -9, -3\/7, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2936\/16667?\nAnswer: 2936\/16667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -29338?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42202142 to the power of 1\/2, to the nearest integer?\nAnswer: 6496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 217975824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 - h - 5. Let s be v(-7). Let t(g) = -3*g + 2. Let z(x) = 50*x - 35. Let n(u) = s*z(u) + 35*t(u). Give n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -27.5. Let q = l - 5. Let k = -7.7 - -8. Which is the third smallest value? (a) k (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2092 and 70\/9?\nAnswer: 18828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 5:54 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 221 = 153. What is the highest common factor of 187 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j + 19. Let d be b(-3). Let t be 32\/80*(d + (-9)\/24). Is t <= -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2937, 24172, 81833, 194136, 379297, 655532, 1041057, 1554088?\nAnswer: 2212841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 231?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5259920.\nAnswer: 2, 5, 37, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let q be (4\/(-6) - 0) + 1976\/156. Calculate the highest common divisor of r and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:58 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3340320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -9.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 3982*d - 60180.\nAnswer: 2*(d - 2006)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 11. Let p(c) = 1. Let f(l) = -m(l) - 6*p(l). Calculate f(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 1:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*t + 2. Let f(g) be the third derivative of 1\/60*g**5 + g**t + 0*g**4 + 0*g - 1\/6*g**3 + 0. Factor f(b).\nAnswer: (b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s + 2 = 0. Let t be ((-2)\/s)\/((-1)\/2). Is ((-1)\/4)\/(t\/(-2456)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**2\/5 + 896*n\/5 - 298\/5 = 0.\nAnswer: 1\/3, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4011705069*q + 31*q**3 + 62*q**3 + 4011705069*q.\nAnswer: 93*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**2*p**0\/p)**(-34)\/((p*(p*(((p*p**(-1))\/p*p*p)\/p)\/p)\/p)**29*p*p*p**5*p**(-3\/8)) assuming p is positive.\nAnswer: p**(491\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 14. Let o = 31 - g. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673173574?\nAnswer: 2, 3, 19, 23, 339839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-601.\nAnswer: -4207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53894 + -53890. Let z = 1.92 - -0.08. Let t be (-1)\/(-1) - (-15)\/(-12). Which is the fourth biggest value? (a) -2 (b) z (c) n (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46268, -184951, -416098, -739715, -1155808?\n\"Answer: -s**3 - 46226*s**2 + 2*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2144*t - 387*t = 724*t - 166005 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1879957 and 0.03.\nAnswer: 56398.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 18640188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -791 divided by 7\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = -1036 + 1072. Let i = -8 - -2. Let k be (-2)\/(-3) - 2\/i. Sort k, -4, u in decreasing order.\nAnswer: u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456775964 to the power of 1\/2, to the nearest integer?\nAnswer: 49566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1)*a)\/(((a*a**(3\/4)*a)\/a)\/a*a))**(1\/4)*(((a\/(a*a\/a**2*a*a))\/a)\/a*a**(1\/2)\/a)**(-4) assuming a is positive.\nAnswer: a**(225\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19564 and 4.\nAnswer: 19564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 381. Let n = q - 51. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.08838 + -39.\nAnswer: -49.08838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -23 (c) -37 (d) -0.097 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, 5, -1, -9460 in descending order.\nAnswer: 5, -1, -158, -9460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 15*o = 0, 0 = -5*k + 5*o + 8497715. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 21010?\nAnswer: -20222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208983390 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57749, 115494, 173241, 230990, 288741?\n\"Answer: j**2 + 57742*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6345 is divided by 1585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.82479015 to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 + 7*i**4\/12 - i**3\/3 - 23*i**2\/2 - 19*i. What is k(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**3\/6 + 7*x**2 - 124*x + 1. Let o be n(17). Let i = -5 - -3. Which is the nearest to i? (a) o (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-20))\/((81\/(-10))\/9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012031233223 - 31?\nAnswer: 1012031233132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Are s and 4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 295 - 146 - 142 + 16*d - 2*d + 19*d + 18*d**2 + d**3. Calculate s(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 28*v**3 - v**2 - 10*v + 45. Is t(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7290008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - (46 + (-11 - 15))) + 21.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 0.0682\nAnswer: 0.019096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 5*w**2 + 2*w - 6. Let t be 399\/77 + 4\/(-22). Calculate r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1424 + -509?\nAnswer: -192d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/137 + -291\/2329. What is the closest to -0.1 in f, -0.5, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*x + 7, x + 16 = -0*t + 4*t. Let g be 1\/t + (-1)\/3. What is the second smallest value in -1\/10, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:53 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 + 3*n - 3. Let f be x(6). Suppose 0 = 3*l + 16 + 11. Let t = l + f. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -9*i. Suppose -i*x - 4*n + 8 = -16, -2*x + 3*n + 38 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20990 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 10*c - 5. Let z(u) = 3*u**2 - 29*u + 16. Let i(m) = 11*w(m) + 4*z(m). Calculate the remainder when i(8) is divided by (2\/6)\/((-1)\/(-27)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 8 = -81 - 7. Sort -4, v, 5, -19 in decreasing order.\nAnswer: 5, v, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2 - 1722242*t = 0.\nAnswer: -861121, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -5*p. Let f be 15\/(-18)*2*p. Calculate the lowest common multiple of 0 - (f + 2 - 2) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441 - 8*h + 11*h - 23*h.\nAnswer: -20*h - 441","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*c = 137*c - 504. What is the remainder when 671 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 83 + 205. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -151af0ea - 1?\nAnswer: -151af0eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from irpprrrerpieerppprpp.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/27 (b) -0.4 (c) -1\/2 (d) -2\/7 (e) 47 (f) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + q - 6*q + 218, 0 = -o + 5*q + 109. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12285, -2, -0.01, -3 in ascending order.\nAnswer: -12285, -3, -2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.038 - 0.038. What is the smallest value in 5, d, 95?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -5, 67.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 356 + -3?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10069358 is divided by 1006927.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11862, -47446, -106750, -189774, -296518, -426982, -581166?\n\"Answer: -11860*n**2 - 4*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-15)*63\/(-2). Suppose 5*x - 12 = -t. List the prime factors of 618\/30 + x\/(-15) + 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2\/15, -1\/19, 0.5 in increasing order.\nAnswer: -23, -1\/19, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 4*c**2 + 4. Suppose 4*p = -b - 17, -7*b + 2*b - p = 9. Let f(w) = -w**2 - 1. Let q be (2\/3)\/(1\/(-6)). Determine b*o(h) + q*f(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 21*n - 14. Let r be l(-20). Solve -4*o + r = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -499.404433 to 1 decimal place.\nAnswer: -499.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 2*w**2 - 2*w - 7. Let k be h(0). Let j = 10 + k. Let n = 0.04 + 1.96. Sort n, j, -0.2.\nAnswer: -0.2, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 + 593*v**3 + 29431*v**2 + 42232*v - 28548 = 0. What is v?\nAnswer: -234, -61, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -240, -356, -470, -582, -692, -800?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 10*v + 14. Let a = 9 - -1. Let m be h(a). Suppose 2*f - 3*f = -m. Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1 + (0 - 0)). Suppose u = -3*d - 4*j + 11, 0 = 2*d + 3*d - j + 20. Is d greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*p - 15 = -274*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.099, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c384b (base 14) to base 5.\nAnswer: -110031414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 5*u**4\/12 + 11*u**2\/2 + 2. Let s(k) be the second derivative of t(k). Let f(w) = -2*w**2. Determine s(f(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2230, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:17 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:02 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 3*v, 32 = 5*i + 3*v. Let z = 16070 + -80623\/5. Let y = 55 + z. Sort i, y, 2\/7.\nAnswer: 2\/7, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - s + 21, 5*v + 33 - 129 = 4*s. Let d(z) = -z + 15 + 17 - 14 + 0*z. Calculate the lowest common multiple of v and d(-6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931 divided by -1?\nAnswer: -1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-16)*2*5*5\/175\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6 = 21. Let g be w\/1 + 0 + -3. Suppose 2*y - 3*r + 1 = 11, -2*r - 8 = g. Which is the biggest value? (a) 5 (b) -2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254992 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -191. Solve 0*o - w*o = 4*y - 2, -4*y - 3 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 - 203 = -d, -24*y - 2*d + 73 = -29*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4\/7, -2, -4, 81758\/3 in descending order.\nAnswer: 81758\/3, 4\/7, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3504567 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 equal to -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)\/z**0)\/((z**(1\/3)\/z)\/z**1)*(z**4*z*z**(-2\/5))**(-18) assuming z is positive.\nAnswer: z**(-1247\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2496 - -2453. What is the third biggest value in 3\/2, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000011011000111 (base 2) to base 13\nAnswer: -12921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + i = -1 - 4, -25 = -5*i. Let f = 4418 - 4414. Solve -6 = f*q - k*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 1010110001100000001?\nAnswer: -1010110001100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 5*w**2 + 7*w + 8. Let n be u(6). Find the common denominator of ((-59)\/(-413))\/(((-1)\/7)\/((-43)\/6)) and (-15)\/(-18)*(-66)\/n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288360 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 393\/2*f**2 + 1\/2*f**3 + 19404*f + 19208 = 0.\nAnswer: -196, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 3*r**2 - 6*r + 1. Let j be h(4). Let p(n) be the first derivative of 4*n**2 + 7*n + 3447. Let v(z) = -7*z - 6. What is j*v(d) - 6*p(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/300*-10*(-1)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**6\/90 - s**5\/5 - 23*s**4\/18 - 10*s**3\/3 - 25*s**2\/6 + 23*s. Factor u(f).\nAnswer: -(f + 1)**2*(f + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25708.605 seconds?\nAnswer: 428.47675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 7784*d\/5.\nAnswer: d*(d + 7784)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21401537 is divided by 370.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 x when three letters picked without replacement from {n: 6, k: 3, x: 2, f: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 4*h + 270 - 184)*(-6 + 4 - 9) to the form d*h + k and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 992 - 34. Let u = d + -169. Solve -7 + 3 = u*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*b - 2*r, 41 = -5*b + r + 79. Let l(c) = 7*c - 3. Calculate the least common multiple of l(3) and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*o**3 - 24*o**4 + 23*o**4 + 20*o**3 + (3 - o - 3)*(8*o**3 - o + o) to i*o**4 + s*o**2 + g*o**3 + p*o + n and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1276 - -1320. Suppose -m + 4*m = -6, -305 = -3*g + 4*m. Calculate the smallest common multiple of a and g.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 - 8858 = -k. Round k to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 + 11*b - 2*b**2 - 11*b.\nAnswer: 12*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 + 23\/12*r**4 + 33*r + 0*r**2 + 0*r**3. Let d(m) = -4*m**2 + 0*m**2 + m**2 + 4*m**2. Determine g(d(t)).\nAnswer: 23*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -13. Let y(u) = u**3 + 2*u**2 + 4. What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 42*p**2 - 3875*p - 1793. Determine r(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8870 is divided by 553?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n. Suppose 0 = 21*v - 544 - 506. What is the least common multiple of h(-4) and v?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 749731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1) + (10 - 4). Suppose 3*g - t*h + 19 = 0, -2*h + 0 + 12 = g. Let n(i) = 2*i**2 - 4*i**2 + 1 + i**g - 3*i. Determine n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) - (sqrt(784) + sqrt(784)*-2) - sqrt(784))\/(5*sqrt(392)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n*o*v**2 - 187*n*v**3 - 2*n*v - o*v**6 - 3*o*v**4 + 1815*v**2 wrt v?\nAnswer: -1122*n - 120*o*v**3 - 72*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**2 + 111*w**2 + 7*w**2.\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15298, 61191, 137684, 244777, 382470?\nAnswer: 550763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-22 - (-14 - -8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*a - 3570 = -334*a. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.36, 0.5, -1.4, -1\/249?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:05 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + sqrt(75)*-1 + 0)**2.\nAnswer: -70*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(72)))**2.\nAnswer: 96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 11772 = 11700 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/((-1440)\/(-48)))\/(2\/(-348)))\/((-16)\/10).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16616 - -18425. What is the highest common divisor of a and 402?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/4)*h**(-6)\/h)\/(h**(1\/4)*h*h**(1\/4)))**(-1\/10) assuming h is positive.\nAnswer: h**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*i**2 + 50*i**2 + 81*i - 280*i + 95*i + 104*i.\nAnswer: 818*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/1 + (-13)\/(-13). Let g(a) = a - 3. Let w be g(u). Solve r = w*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1878.62787ms to weeks.\nAnswer: 0.000003106196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3735 is divided by 312.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, c: 6, s: 2, h: 3}. What is prob of sequence cuu?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 102*p**4 - 586*p**3\/3 + 953. Find the third derivative of d(t) wrt t.\nAnswer: 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose -2*x = j + 3 - 2, -2*x = 2*j. What is the closest to x in -1\/2, 1\/6, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 333 = 2*b, 0 = 5*b - d + 6*d - 850. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 5:10 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2039, 4064, 6077, 8072, 10043, 11984, 13889, 15752?\nAnswer: 17567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 6*r + 13. Calculate the remainder when 71 is divided by o(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37410275 + 37410083.00079. Let j = s + 192. Round j to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 4, m: 1}. Give prob of sequence mt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14046? (a) 4 (b) -1\/2 (c) -2\/7 (d) -269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 1 z when three letters picked without replacement from zpqqqzqqpzzrqpqqr?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {k: 1, z: 2, j: 5, p: 6, r: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.104753157 to five decimal places.\nAnswer: -0.10475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t. Let w(r) = 1267185*r. Calculate w(i(j)).\nAnswer: 7603110*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose -4*u = w + 5716, -4*w = 3*u - p*u + 22812. Round w to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 889*v**3\/3 + 15*v**2\/2 - 54*v + 2. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312103040 (base 6) to base 11.\nAnswer: 3072598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 3*t. Let z be (-6)\/(-4)*(-32)\/(-24). Calculate the least common multiple of 10 and d(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 2:58 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15247220050 and -3.\nAnswer: 15247220047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:00 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/720 + c**5\/15 - 3*c**4\/8 + 8*c**2. Let g(y) be the second derivative of x(y). Is 12 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 41*y**2. Let p(o) = 3*o + 5*o**2 - 4*o**2 - 3*o. What is p(l(t))?\nAnswer: 1681*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 1. Let g(v) = v**2 - 3*v + 4. Let d = 60 - 59. Calculate d*g(i) - 5*c(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:39 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6480 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211048?\nAnswer: 2, 23, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -719 + 260. Let z be 8\/(-3)*a\/36. Suppose 0 = 2*c - 36 - z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2197 - -0.0197. Which is the second smallest value? (a) -2 (b) p (c) 0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1981, 7908, 17783, 31606, 49377, 71096, 96763?\n\"Answer: 1974*o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126215 is divided by 709.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n**4*n)**(-37))**(-21\/4) assuming n is positive.\nAnswer: n**(3885\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -17 + -9 + 23 + -11 + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 53 - 10 = 0. Let h = p + -16. Which is smaller: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -44?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 2*z**2 + 11*z + 2. Suppose 0 + 3 = -q. Let j(a) = a**3 - a**2 - a - 1. Let m(p) = q*j(p) + u(p). Let c be m(7). Solve 30 = -c*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 - 3*i - 1. Calculate the remainder when 89 is divided by w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1048 + 1047.0085. Let z = -0.9 - 0.1. Let m = o - z. Round m to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203365 + 150485 - 218300 = -13*i. What are the prime factors of i?\nAnswer: 2, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4 (b) -1\/5 (c) 11.8 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -867 - 872 - 872 - 63*n + 2613 - 37*n.\nAnswer: -100*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - -71 - (-1 - 3) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/120 + h**5\/20 - 7*h**4\/24 + 47*h**3\/6 - 13078*h**2. Determine r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-4) - (1 - -4). Let v(k) = k**2 + 3*k + 2. Let f be v(o). Suppose -3*a + 5*i = f, -2*i - 3*i = 4*a - 20. Which is smaller: a or 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k = 4*m - 73*k - 25, 6*k - 99 = 9*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*d - 1165 + 1084, -2*o - 4*d = 66 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6 and -15\/121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 4:16 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 3)*(940 - 940 - 52*g) - 7*g + 0*g + 2*g as r + d*g and give d.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33783, -33991, -34351, -34869, -35551, -36403, -37431?\n\"Answer: -f**3 - 70*f**2 + 9*f - 33721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -115.201135 from 8.\nAnswer: 123.201135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = -0. Suppose 5*x + o = -36 + 256, 0 = s*x + 5*o - 200. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2615, 2486, 2235, 1862?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31930*l**4 + 35*l**3 + 759664*l.\nAnswer: 383160*l**2 + 210*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7288849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/69)\/(12\/(-9)))\/(2005\/92230)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2073*j - 8161. Calculate v(-4).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urco when four letters picked without replacement from {k: 1, r: 5, c: 1, o: 2, z: 4, u: 2}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -12*g**3 + 4*g**2 - 2*g + 4. Let i(k) = -11*k**3 + 5*k**2 - 3*k + 5. Determine -4*i(o) + 5*n(o).\nAnswer: -16*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 5744*c + 2062096.\nAnswer: 4*(c + 718)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -110.\nAnswer: -110, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058416003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 33. Let n be y(-11). Round n to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 = 4*d, -13 = -2*b - b + 2*d. Let x = b - 6. Let p(m) = -2*m. What is the units digit of p(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10) + -42 + 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 - -452?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5912 * 0.5\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(128\/(-128))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 411724118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 28711600.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(-5715)\/762?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 13484*t - 13474*t. Let n(y) = -4*y - 42. Calculate n(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a**4\/7 + 33*a**3\/7 - 57*a**2\/7 - 132*a\/7 + 36\/7 = 0. Calculate a.\nAnswer: -3, -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:21 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 + 14*n - 15. Let s be t(2). Let p = 8 + -4. Put p, s, -4, -1 in decreasing order.\nAnswer: p, -1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134862222?\nAnswer: 2, 13, 43648547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.474 + -0.274. What is the third smallest value in o, -0.3, -0.7, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*x - 95*x + 84. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0973576 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**4\/5 + 6356*w**3\/5 + 1323464*w**2\/5 + 2621536*w\/5 = 0?\nAnswer: -1343, -244, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 15, r: 3}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2199 - 2187. Solve -x = 3*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167.743kg in nanograms?\nAnswer: 3167743000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 412824615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by -2817?\nAnswer: -220\/2817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 688*q**4 + 12*q**3 - 6*q + 601. Let c(z) = z**4 - 2*z**3 + z + 1. Let d(t) = 6*c(t) + o(t). Differentiate d(w) with respect to w.\nAnswer: 2776*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35336472 is divided by 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 8*w**2 + 18043*w - 89893. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5474508 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6*o, -3*o = 5*p - 150. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 15*p + 474 = c, 2*p = 5*c - 2377. What are the prime factors of c?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-41)\/492)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - -4*sqrt(152)*2) + sqrt(152))\/sqrt(8)*-4 + (-4 + sqrt(57)\/sqrt(3) + 0)*-5)**2.\nAnswer: -1800*sqrt(19) + 38875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1327 (b) -1 (c) -4 (d) 5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 9*p**2 - 4*p. Suppose 4*a + 1 = 21. Let s be y(a). Suppose 0*w = -2*w + s. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12247\/4 - -3079. Find the common denominator of 11\/47 and d.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 178011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2147 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 0, 4*f - 5*o + 8 = 3*f. Let j be (3\/(-2))\/(1\/(-2)). Suppose -3*z = -5*z, z = -3*m + j. Is f at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 131, 192, 361, 692, 1239?\n\"Answer: 9*q**3 - 2*q + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -669*t**2 + 174*t**4 - 27*t**4 - 145*t**4 + 6*t**3 wrt t.\nAnswer: 48*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, 26, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13665 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 14. Let j = 2 + -10. Let p be a(j). Find the second derivative of p*q - 7 - 4*q**3 + 8*q + 7 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d + 6. Let i(s) = 4*s + 8557. What is u(i(v))?\nAnswer: -56*v - 119792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1965460 divided by -7\nAnswer: 280780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(28)*1 - (1 + sqrt(1008)))**2 + 4 + (sqrt(112) + 3)*-1)*-3.\nAnswer: -1350 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40114422 (base 5) to base 13.\nAnswer: -b12c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (0 + 0 + 1). Suppose b - 9 = -g*b. Let s = 24 + b. What is the greatest common factor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -703*w**3 - 12*w + 14288 with respect to w.\nAnswer: -2109*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k**2 + 1)*(-4 + 0 + 3) - 2*k + 2*k**2 + 2*k - k**2 + 2*k**2 - 1 + k**2 + 3*k**2 - 14*k**2 + k**2.\nAnswer: -7*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2.2, 0, -208?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:52 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*g + 1279*g = -31744 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3 + 5*m - 4*m - 7*m + 7*m. Suppose -5*v - 4 + 14 = 0. What is the least common multiple of v and s(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/11 - 30*z**3 + 1296*z**2\/11 - 1288*z\/11 = 0?\nAnswer: 0, 2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-912)*(-3)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -12947\/1266?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29398 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.87 - -1.13. Sort -4, -0.46, -3, i in ascending order.\nAnswer: -4, -3, -0.46, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/11))**4 assuming d is positive.\nAnswer: d**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 6*r**2 - 7*r + 5. Let o be m(-7). Suppose 4*y - 4 = -3*p - 2*p, o*y + 3*p + 8 = 0. Is -3 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*k + 2417 = -2086. Calculate the remainder when 246 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20199\/7048 - -8\/881. Calculate the common denominator of o and -83\/12660.\nAnswer: 25320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z + 4*l = -8, 0 = -5*z - 4*l + 20. Is 13 a factor of (2\/(-1))\/z*6734\/(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 * 60\nAnswer: 4980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -37?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 81545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11880, -23759, -35638, -47517, -59396?\nAnswer: -71275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 2\/3, -4\/7 in increasing order.\nAnswer: -2, -4\/7, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, h: 1, m: 7}. Give prob of sequence mmmt.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a factor of 1125076450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4773098*y = -4773129*y + 1674 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwedb. What is prob of sequence wb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 m, and 1 e when four letters picked without replacement from {t: 2, m: 1, f: 1, n: 3, k: 1, e: 8}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 556, 1113, 1670, 2227?\nAnswer: 2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13579 + 0.1.\nAnswer: 13579.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5149, -46969, -160479, -381523, -745945, -1289589, -2048299, -3057919?\nAnswer: -4354293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*w + 61*w - 33*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -4)\/((-2)\/(-7)). Let p = -12 - -20. Let l = p + d. Which is the second biggest value? (a) l (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767913284?\nAnswer: 2, 109, 139, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5 - 14*d**2 - 14*d**2 - 11*d + 49*d**2 - 20*d**2. Calculate o(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-5 + 2 + 2)*(-2 - 2 + 2)*(17*h**3 - 143*h + 143*h) to the form z + q*h**2 + g*h + o*h**3 and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475152699.\nAnswer: 109, 13533511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3 + 19*f**2 - 2*f - 149 wrt f?\nAnswer: 6*f + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = y. Let z(b) = -5*b + 1. Let w be z(-6). Suppose -26*m = -w*m + 10. Solve -x = -m*x + y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*u - 28, -2*u = 4*y + 29 - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 20. Let j(g) = 2*g**3 - 3*g**2 - g**3 + 14 + 7*g**2 + 10*g**2. What is the units digit of j(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 24*y. Let w(t) = -21*t. Give a(w(x)).\nAnswer: -504*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518355233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 7*v - 4. Let x be d(8). Suppose -3*y = x*l - 72, 48 = 2*y + l + l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -10 + 0*c**3 - 1\/4*c**4 + 0*c**2 - 11*c. Give q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4217 and 2.\nAnswer: 8434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 649784 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42818336 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1627 - 1622. Solve -2*j = -l*o + 15, 35 = -2*j + 4*j + 5*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let y(x) = -x**2 + x + 4. Let p be y(r). Suppose -3*l - 8*l = -132. Solve 4 = p*b - l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18670 = -2*l - 3*m - m, -3*l + 28006 = 5*m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 87*z - 549\/2.\nAnswer: 3*(z - 61)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 2*i**2 + 3*i - 1. Let d = 70 + -42. Let p = d - 23. Suppose 2*n = -2*r + 2, -4*r - p = 2*n - 13. What is g(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttnttnt. What is prob of sequence tntt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31020 and 185928710?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 26*k - 1. Is a(6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/42 + -2\/21. Suppose 4*m = 5*m. Suppose -3*j + 4*j + 4 = m, 4*v - 12 = 4*j. Is v at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -8 (c) 14 (d) -160 (e) 1\/2 (f) -2\/15 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (11 + -4)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**2 - 12*l + 269. Let f(n) = -n**2 - n + 2. Let t(d) = -b(d) + 5*f(d). Give t(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 9 + 59. Suppose m - 5*b = -d - 8, 0 = 2*m + 5*b - 25. What is the second derivative of 4*s + m*s + 0 + 0 - 3*s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32303122 (base 5) to base 4.\nAnswer: -1003033110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46035551 and 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13864798.\nAnswer: 2, 269, 25771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-70))\/(99\/45)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -105\/26, 5 in decreasing order.\nAnswer: 5, -5\/2, -105\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p. Let k(x) be the first derivative of 49 + 0*x + 0*x**2 - 1\/3*x**3. Give r(k(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 1, j: 7, e: 8}. What is prob of sequence sje?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*h + 1479 - h**3 - 89*h.\nAnswer: -h**3 + 1479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 927.403ml?\nAnswer: 0.927403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*x + 113*x = 160. Let o be ((90\/x)\/9)\/((-3)\/(-24)). Solve -30 = -2*g - 0*g + o*u, 2*g = -5*u - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308\/31 + -6013\/496. Find the common denominator of q and (1\/8)\/(4\/(-14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -1, -39, -101, -187?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 2. Let m(q) = q - 1. Let g(z) = -10*m(z) + 4*p(z). Let j(s) be the first derivative of -s**2\/2 - 2*s - 355. Calculate 4*g(r) + 5*j(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18409742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1196.051 + 1197. Let d = y - 2.949. What is the third biggest value in 3\/7, -4.6, d?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2558394 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53656404.\nAnswer: 2, 3, 71, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 4. Let p(v) = -8*v - 6. Let l(b) = -3*j(b) - 2*p(b). Let f(r) = r**2 + r + 1. Let s be f(-2). Let a(m) = -m + 6*m + s*m. What is l(a(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Suppose q = 5*b - 18 + 3. What is the units digit of (16\/b)\/(2\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.1 (c) -2\/9 (d) 304\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*q*s**4 + 8*q + 10914*s**3 - 12435 wrt s?\nAnswer: -24*q*s**3 + 32742*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 797*h - 39435. Calculate p(-53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9644473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)*d)**(-6)*(d**(1\/3))**6*(((d*(d*d**5\/d)\/d)\/d)\/(d*(d**6*d*d)\/d))\/((d\/((d\/(d**(1\/4)\/d))\/d))\/(d*d*d*d**(2\/11)*d*d)) assuming d is positive.\nAnswer: d**(-69\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15*g**3 + 14*g**2 + 6*g + 3. Let k(x) be the first derivative of 5\/3*x**3 + x**2 + x + 8 - 5\/4*x**4. Let y(v) = 8*k(v) - 3*s(v). Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55809\/(-6890)*(32\/14 + -2)\/(63\/147)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 345 or -1?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011001011 - 1221?\nAnswer: -11011010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -31. Let x(y) = -y**2 + 8*y - 3. Let m be x(5). Let v = m + b. Solve 5*d - j = -0*d + 4, 5*d = -v*j + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -11*t**5\/20 - 19*t**2. Suppose -4*a = o + 210 - 902, -3*a - 2*o + 524 = 0. Let q(r) = a + r - 172. Determine d(q(x)).\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 4*d**2 - 6*d - 3. Let y(n) = n**3 + 5*n**2 - 5*n - 2. Let h(x) = -2*f(x) + 3*y(x). What is the tens digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Suppose -2*i = -c - 12. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from gkgkgtkkgqa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 4*y - 5*y)*(9 + 8 - 11).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/478 and 71\/14?\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61, -123, -185?\n\"Answer: -62*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45.05 - 0.95. Let a = c + 41.9. Let d = 4.59 + a. Round d to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*5)\/((-1930)\/(-386)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02186359 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55\/4 - -287\/20. What is w in -6\/5 + p*w**3 - 12\/5*w**2 + 3*w = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 37082591.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(2*x**2 + 3*x**4 - 2*x**2)*(-4*x - x + 31*x).\nAnswer: -156*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1458)\/18225 - 704\/(-6300).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u**2 + 0*u**3 + 0*u + 1\/12*u**4 + 0*u**5 - 11 - 1\/18*u**6. Suppose j(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 6. Let h be w(5). Let i be h\/(-2)*(-2)\/(-3). What is the second derivative of 2*s - i*s + s**4 - s wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9446929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/r**(-2))**46)**17 assuming r is positive.\nAnswer: r**3910","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 797*g**2 + 1507 wrt g?\nAnswer: 1594*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z**2 + 0*z)*(228*z - 10 + 10 + 159*z).\nAnswer: -387*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13\/77 + 181\/616. What is the closest to 111 in -1, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -280. Let c = -159 - k. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 48220.\nAnswer: 385760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-6 - (-469)\/(-28)))\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -0.5 (c) -2 (d) 1\/2 (e) 6.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 0*p**2 - 77\/6*p**3 + 24 - 42*p. Let n(v) be the first derivative of c(v). Let b(a) = a. What is n(b(s))?\nAnswer: -77*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44582050 and 300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 14 = 5*z, 0 = 3*m - 0 + 3. Let j(c) = c**3 + 1. Let d(u) = 4*u**3 + u**2 + 3*u + 3. Determine z*j(y) + d(y).\nAnswer: y**3 + y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from drbrrdrrrrrrrb.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12289891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/12 + j**3 + j**2\/2 - j. Let x be l(-7). Is (1*-6)\/(x\/(-112)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 68*b**2 - 3*b + 140. Give l(34).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 363*x - 385. Let u be r(25). Suppose 8*k + 3450 = u. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -10*f + 5*f - 25, 3*n - 24 = -2*f. Let g be ((-8)\/(-10))\/(2\/n). Factor -24*h**3 - 75*h**g - 24*h - 186*h**3 - 121*h**2 - 11*h**2.\nAnswer: -3*h*(h + 2)*(5*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 10*k**2 - k. Let v = -261 + 271. What is p(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 12:56 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - m - 5, -4*f + 6140 = -4*m + 6080 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, 139, 1, 4, 39 in increasing order.\nAnswer: -3, 1, 2, 4, 5, 39, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1309326\/503 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * 0.2034\nAnswer: -0.052884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2 - 2)*(13 - 13 + 5*k**2).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -124729 (base 12) in base 3?\nAnswer: -120011010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000450323 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 1.98.\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4508 is divided by 1133?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2627 + 2592. What is the closest to -2\/7 in h, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 2*s**3 - s**3 + (-s**2 - s**2 + 11*s**2)*(0*s + 2*s - 4*s))*(s**2 + 2*s**2 - s**2).\nAnswer: -40*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.14 - -1.3. Which is the nearest to 0? (a) -5 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-16)*-4)\/((-6)\/48). What are the prime factors of 11872\/7 + (q\/3)\/4?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98\/23 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 30. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44261784.\nAnswer: 2, 3, 7, 53, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (1 - (-5)\/(-2)))\/((-159)\/424)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - -5) - (4 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1483264*i + 3*i**3 + 1483264*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2905 = -5*i, -3*f - 24*i + 1763 = -22*i. Which is smaller: 584 or f?\nAnswer: 584","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*-1*sqrt(34))\/(sqrt(2) + 2*sqrt(8)\/sqrt(4) - sqrt(2)))**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 458 - 423.9. Let v = -34 + z. Is 14 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 + 7*g**5 - 7*g**5 + (-5*g**3 + g**3 + 2*g**3)*(6*g**2 + 10 - 10) + g**5 - 3*g**5 + 4*g**5 + (-3 + 1 + 1)*(-3*g**5 - g**5 + 5*g**5).\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 132 = 17*n. Suppose -n*i + 118 + 62 = 0. Solve -r = -2*m + 9, 5*m - m - 5*r - i = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2950 > -2950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/(-8) + 4245\/60.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11451 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -650 + 1575. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -15\/8 (b) -136 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, 442 in decreasing order.\nAnswer: 442, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001010110000001 (base 2) to base 3.\nAnswer: 202020221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1365, 1364, 1361, 1356, 1349, 1340?\n\"Answer: -b**2 + 2*b + 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:15 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**6\/24 - 301*c**5\/20 + 11549*c**4\/8 - 33749*c**3\/6 + 66901*c**2\/8 - 22201*c\/4 - 1117. Factor o(i).\nAnswer: (i - 149)**2*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let t(g) = -143718329*g**2. Give t(n(c)).\nAnswer: -574873316*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -2.724?\nAnswer: -2.724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*(0 + sqrt(252)) - -6*(sqrt(252) + sqrt(252)*-2 + sqrt(252))))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let h be i(1). Sort -1, h, 10.\nAnswer: -1, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 452814 and 11112?\nAnswer: 1811256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 158\/3. Suppose -2*x = x - 4*a - 43, 0 = 4*x + 2*a - 50. Suppose -48 = 5*v - x. What is the third smallest value in 3, v, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -1\/30*z**5 + 0*z + 1\/3*z**4 - 1\/60*z**6 + 19 + 2*z**2 + 4\/3*z**3. Suppose a(w) = 0. Calculate w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s**(1\/2)*s)*s)**(2\/29)\/((s**(3\/7)\/s)\/(s\/((s\/(s\/s**6))\/s))))**(4\/11))**(-2\/83) assuming s is positive.\nAnswer: s**(5736\/185339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44853810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (-196 + 194)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlh when three letters picked without replacement from {e: 2, p: 1, c: 1, h: 1, l: 1, j: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 11.72. Let i = -0.18 + f. Let w = 0 + -1. Which is the closest to w? (a) -2 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3 - 26070*l**2 = 0.\nAnswer: -8690, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0406732154 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 73. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 91*j - 14. Let r(z) = -31*z + 5. Let p(f) = 11*r(f) + 4*t(f). Let q(m) = 2*m. Calculate q(p(k)).\nAnswer: 46*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 94212.91 centimeters?\nAnswer: 942129.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1651*s + 170*s**2 - 1651*s + 5*s**4 + 0*s**4 - 175*s**3.\nAnswer: 5*s**2*(s - 34)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y - 46. Let i be s(9). Solve -7 = -i*h + 78 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*((-48)\/(-9))\/(504\/(-108))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-80) - 12\/30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9210 (base 11) to base 2.\nAnswer: 10111111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1412*z**3 + 3152*z**3 - 1747*z**3.\nAnswer: -7*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 7*t**4\/9 - 8*t**3\/3 + 10*t**2\/9 + 8*t\/3 + 236. Determine r, given that p(r) = 0.\nAnswer: -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/22525 and -109\/7300.\nAnswer: 6577300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -825, -1206, -1575, -1938, -2301?\nAnswer: -2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 1)*(-15 - 3 + 1)*(-b - 2*b + 2*b) as t*b + i and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 + 172. Find o such that -76*o**2 + o**5 + 66*o + 244*o**3 - 20 - 212*o**t - 3*o**5 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8011, -8053, -8157, -8353, -8671, -9141?\n\"Answer: -5*m**3 - m**2 - 4*m - 8001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1335)\/(-7120))\/((-2*3\/54)\/((-72)\/(-54))).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**2 - d**2 + 4*d**2)*(-68649 - 68543 + 137657 + 11*d) in the form g*d**3 + t + c*d + y*d**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = 19*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 426672143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b - b)*(-3*b + 3*b + 2*b) - 5*b**2 + 11*b**2 + 6*b**2 + (b - 2*b - b)*(-3*b - 6*b + 3*b)*(-3 + 0 + 2) in the form m*b + j*b**2 + r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = -f, 0 = 4*v - 9*f + 4*f + 1. Let u = -6 - -6. Are v and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*h**2 - 1376*h**2 - 116*h**2 - 156*h**2 in the form j*h + n + l*h**2 and give l.\nAnswer: -1769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207 - 207. Solve 15 = -5*c - 5*w, 0 = c - 3*w - i - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -396156954 divided by 132052318\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497078*p**2*u*y - 6*p**2*y**3 + 20555*p*u*y**3 - 184*p*y**3 - 43*p*y**2 + 2*u*y**2 wrt y.\nAnswer: -36*p**2 + 123330*p*u - 1104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h. Let x(v) = 4*v. Let n be x(1). Suppose -5*u = 5*w - 2*u - 4, 12 = n*u. Put h, 2, w in descending order.\nAnswer: 2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 + 5*w + 6. Let f(t) = t**2 - 10*t + 11. Let u be f(8). What is q(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049415?\nAnswer: 3, 5, 43, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137*x**4 - 70*x**4 + 127*x**4 + (-x**2 + 6*x**2 - 3*x**2)*(-2*x**2 + 5*x**2 + x**2) + (6*x**2 + 0*x**2 - x**2)*(1 - 1 - 2*x**2).\nAnswer: 192*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10242939 to the power of 1\/2, to the nearest integer?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - m**2 - 3)*(3*m**2 - 4*m**2 + 4*m**2) + (-m**2 + 2 - 2)*(-18528*m - 32 - 5*m**2 + 18528*m).\nAnswer: 2*m**4 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/31, -1809.4, -15\/7?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 4. Let l be b(0). Suppose -151 = -2*w + x - l*x, 4*x = w - 92. What is the least common multiple of w and 140?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.363897 kilograms?\nAnswer: 363897000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9)**(5\/7) assuming d is positive.\nAnswer: d**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u + 9. Let f be c(4). Let h = f - -32. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*d = -4*d + 22, -5*r - 28 = d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -124 + a39?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 37983?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -2051036?\nAnswer: -2051034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sww. What is prob of sequence ww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}